diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" index c52dba939..2f1abc894 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" @@ -1,175 +1,235 @@ { "1": { - "text": "1 (a) \nAnswer: 1 : 50 \nMarks: 2 (2 AO1.3a) \n\u2022 M1 shows a partial simplification (e.g. 4 : 200) \n\n1 (b) \nAnswer: 50, 300 \nMarks: 2 (2 AO1.3a) \n\u2022 M1 for 350 \u00f7 (1 + 6) \n\n1 (c) \nAnswer: 90 \nMarks: 2 (2 AO1.3a) \n\u2022 M1 for 10% = 45 soi \n or \n\u2022 M1 for 450 \u00d7 0.2", + "text": "Question 1(a) \nAnswer: 1 : 50 \nMarks: 2 \n\u2022 2 AO1.3a \n\u2022 M1 shows a partial simplification (e.g. 4 : 200) \n\nQuestion 1(b) \nAnswer: 50, 300 \nMarks: 2 \n\u2022 2 AO1.3a \n\u2022 M1 for 350 \u00f7 (1 + 6) \n\nQuestion 1(c) \nAnswer: 90 \nMarks: 2 \n\u2022 2 AO1.3a \n\u2022 M1 for 10% = 45 (soi) or M1 for 450 \u00d7 0.2", "num-marks": 6, "pages": [ 5 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "2": { - "text": "2. \nAnswer: 3.5%, 1/3, 0.34 \nMarks: 2 (2 AO1.3a) \n\nMarking instructions: \n\u2022 B1 for 1/3 = 0.33\u2026 or 33\u2026% \n or \n\u2022 B1 for 0.34 = 34% \n or \n\u2022 B1 for changing 3.5% to 0.035 \n or \n\u2022 SC1 for 1/3, 0.34, 3.5% \n\nAccept correct order with equivalent values.", + "text": "2 \nAnswer: 3.5%, 1/3, 0.34 \nMarks: 2 (2 AO1.3a) \n\n\u2022 B1 for 1/3 = 0.33\u2026 or 33\u2026% \nor \n\u2022 B1 for 0.34 = 34% \nor \n\u2022 B1 for changing 3.5% to 0.035 \nor \n\u2022 SC1 for 1/3, 0.34, 3.5% \n\nAccept correct order with equivalent values.", "num-marks": 2, "pages": [ 5 ], + "sub-questions": [], "correctly_parsed": true }, "3": { - "text": "3 (3 marks) \n1 AO1.3a \n1 AO3.1d \n1 AO3.3 \n\nAnswer: \u00a31.38 with working shown \n\n\u2022 M1 for 7 \u00d7 (3/8) \n\u2022 M1 for 89p + 49p or 3 \u00d7 49p or 2 \u00d7 49p > 89p \n\nOR \n\n\u2022 B1 for \u00a31.38 without working \n\nCondone 138p", + "text": "3 \nAnswer: \u00a31.38 with working shown \nMarks: 3 \n(1 AO1.3a, 1 AO3.1d, 1 AO3.3) \n\nMarking instructions: \n\u2022 M1 for 7 \u00d7 3/8 \n\u2022 M1 for 89p + 49p or 3 \u00d7 49p or 2 \u00d7 49p > 89p \n OR \n\u2022 B1 for \u00a31.38 without working \n\nCondone 138p", "num-marks": 3, "pages": [ 5 ], + "sub-questions": [], "correctly_parsed": true }, "4": { - "text": "4 (a) (i) \nAnswer: 5 \nMarks: 1 \n(1 AO1.1)\n\n4 (a) (ii) \nAnswer: 1 \nMarks: 1 \n(1 AO1.1)\n\n4 (a) (iii) \nAnswer: Any number apart from 1, 3 or 5 \nMarks: 1 \n(1 AO1.1)\n\n4 (b) \nAnswer: \n\u2022 Three different numbers only \n\u2022 6 appears most \n\u2022 More even numbers than odd \n\nMarks: 3 \n(3 AO2.1a) \nB1 for each of the three properties", + "text": "4 (a) (i) \nAnswer: 5 \nMarks: 1 \nPart marks and guidance: \n\u2022 1 AO1.1 \n\n(ii) \nAnswer: 1 \nMarks: 1 \nPart marks and guidance: \n\u2022 1 AO1.1 \n\n(iii) \nAnswer: Any number apart from 1, 3 or 5 \nMarks: 1 \nPart marks and guidance: \n\u2022 1 AO1.1 \n\n(b) \nAnswer: Three different numbers only; 6 appears most; More even numbers than odd \nMarks: 3 \nPart marks and guidance: \n\u2022 3 AO2.1a \n\u2022 B1 for each of the three properties", "num-marks": 6, "pages": [ 6 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "5": { - "text": "5) \nAnswer: 48\u202fcm\u00b2 \nMarks: 3 \n\nPart marks and guidance: \n\u2022 1\u202fAO1.3a \n\u2022 2\u202fAO3.1b \n\nM1 for \u00bd\u202f\u00d7\u202f8\u202f\u00d7\u202f4\u202f=\u202f16 \nM1 for their \u201816\u2019\u202f\u00d7\u202f3", + "text": "5\u202f\u202f\u202f\u202f\u202f48\u202f(cm\u00b2) [3 marks] \n\u2022 1\u202fAO1.3a \n\u2022 2\u202fAO3.1b \n\nM1\u202ffor\u202f\u00bd\u202f\u00d7\u202f8\u202f\u00d7\u202f4\u202f=\u202f16 \nM1\u202ffor\u202ftheir\u202f\u201816\u2019\u202f\u00d7\u202f3", "num-marks": 3, "pages": [ 6 ], + "sub-questions": [], "correctly_parsed": true }, "6": { - "text": "6 \nAnswer: 3 \nMarks: 3 (3 AO1.3b) \n\nPart marks and guidance: \n\u2022 B1 for 13 in \u201cintersection\u201d \n\u2022 B1 for (16 \u2013 their \u201c13\u201d) in \u201cCat\u201d \n\u2022 B1 for sum of 8 + their three numbers = 30", + "text": "Question 6\n\nAnswer: 3\n\nMarks: 3 \n3 AO1.3b \n\n\u2022 B1 for 13 in \u201cintersection\u201d \n\u2022 B1 for (16 \u2013 their \u201c13\u201d) in \u201cCat\u201d \n\u2022 B1 for sum of 8 + their three numbers = 30", "num-marks": 3, "pages": [ 6 ], - "correctly_parsed": true + "sub-questions": [], + "correctly_parsed": true, + "images": [ + "page6.png" + ] }, "7": { - "text": "7 (a) \nAnswer: 60, 50 \nMarks: 2 \nPart marks and guidance: \n\u2022 1 AO1.3a \n\u2022 1 AO3.1a \n\u2022 B1 for each \n\n(b) \nAnswer: 2 \nMarks: 2 \nPart marks and guidance: \n\u2022 1 AO1.3a \n\u2022 1 AO3.1a \n\u2022 M1 for 8 seen", + "text": "7(a) \nAnswer: 60, 50 \nMarks: 2 \n\u2022 1 AO1.3a \n\u2022 1 AO3.1a \nGuidance: B1 for each \n\n7(b) \nAnswer: 2 \nMarks: 2 \n\u2022 1 AO1.3a \n\u2022 1 AO3.1a \nGuidance: M1 for 8 seen", "num-marks": 4, "pages": [ 6 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "8": { - "text": "8 \nAnswer: 70 \n\u2022 The triangle is isosceles, so the missing angle is x (may be on diagram) or equivalent. \n\u2022 Angles in a triangle sum to 180\u00b0 or equivalent (may be indicated by summing angles to 180\u00b0). \n\nMarks: 3 \nPart marks and guidance: \n\u2022 1 AO1.3a \n\u2022 1 AO2.4a \n\u2022 1 AO3.1b \n\u2022 B1 for each", + "text": "Question 8 Mark Scheme\n\nAnswer: \n\u2022 70 \n\n\u2022 The triangle is isosceles, so the missing angle is x (may be on diagram) oe \n\u2022 Angles in a triangle sum to 180\u00b0 oe (may be indicated by summing angles to 180\u00b0 oe) \n\nTotal marks: 3 \n(1 AO1.3a, 1 AO2.4a, 1 AO3.1b) \n\nGuidance: \n\u2022 B1 for each", "num-marks": 3, "pages": [ 7 ], + "sub-questions": [], "correctly_parsed": true }, "9": { - "text": "9 (a) \nAnswer: 100 \nMarks: 1 \n(1 AO2.1a)\n\n9 (b) \nAnswer: 10 \nMarks: 1 \n(1 AO2.1a)\n\n9 (c) \nAnswer: One and a quarter boxes drawn \nMarks: 3 \n(1 AO1.3a, 1 AO2.3b, 1 AO3.1c)\n\n\u2022 M2 for 50 \n or \n\u2022 M1 for 310 \n or \n\u2022 M1 FT from subtraction", + "text": "9\u202f(a) \nAnswer:\u202f100 \nMarks:\u202f1 \n(1\u202fAO2.1a) \n\n9\u202f(b) \nAnswer:\u202f10 \nMarks:\u202f1 \n(1\u202fAO2.1a) \n\n9\u202f(c) \nAnswer:\u202fOne and a quarter boxes drawn \nMarks:\u202f3 \n(1\u202fAO1.3a,\u202f1\u202fAO2.3b,\u202f1\u202fAO3.1c) \nGuidance: \n\u2022 M2 for 50 \nOR \n\u2022 M1 for 310 \nOR \n\u2022 M1 FT from subtraction", "num-marks": 5, "pages": [ 7 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "10": { - "text": "10 (a) \n (i) > 1 \n 1 AO1.2 \n\n (ii) < 1 \n 1 AO1.2 \n\n (iii) > 1 \n 1 AO1.2 \n\n (b) 2500 (oe) \n 2 \n 1 AO1.2 \n 1 AO1.3a \n M1 for 25 or 100", + "text": "10 (a) (i) \nAnswer: > \nMarks: 1 \nAO references: 1 AO1.2 \n\n(ii) \nAnswer: < \nMarks: 1 \nAO references: 1 AO1.2 \n\n(iii) \nAnswer: > \nMarks: 1 \nAO references: 1 AO1.2 \n\n(b) \nAnswer: 2500 oe \nMarks: 2 \nAO references: 1 AO1.2, 1 AO1.3a \nMark guidance: \n\u2022 M1 for 25 or 100", "num-marks": 5, "pages": [ 7 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "11": { - "text": "Question 11 Mark Scheme\n\nAnswer: Correct reasoning \nMarks: 2 \n\u2022 1 AO1.3a \n\u2022 1 AO2.2 \n\nPart marks and guidance: \n\u2022 M1 for 4a + 12 \u2013 3a \u00b1 6", + "text": "Question 11 Markscheme:\n\nCorrect reasoning \nMarks: 2 \n\u2022 1 AO1.3a \n\u2022 1 AO2.2 \n\nPart marks and guidance: \nM1 for 4a + 12 \u2013 3a \u00b1 6", "num-marks": 2, "pages": [ 7 ], + "sub-questions": [], "correctly_parsed": true }, "12": { - "text": "12\u202f(a) \n[2 marks: 1\u202fAO2.1a,\u202f1\u202fAO2.3b] \n\u2022 B1 for 4\u202f\u00d7\u202f4 dotted squares correct \n\u2022 B1 for 4 blocks of 4 black squares correct \n\n12\u202f(b) \n[2 marks: 1\u202fAO1.3a,\u202f1\u202fAO2.1a] \n\u2022 M1 for 8\u202f\u00d7\u202f8 or 8\u00b2 or \u201c8\u202fsquared\u201d \n\n12\u202f(c) \n[2 marks: 1\u202fAO1.3a,\u202f1\u202fAO2.3a] \n\u2022 M1 for 4,\u202f8,\u202f12 seen \n\n12\u202f(d) \nNumber of blacks is always even (oe) and reason \nNumber of dots alternates between odd and even (oe) and reason \n\n\u2022 even + even = even \n\u2022 odd + even = odd \n\nMarks for (d): B1,\u202fB1,\u202fB1,\u202fB1,\u202fB1,\u202fB1 \n[2\u202fAO2.2, 4\u202fAO2.4b] \n\nGuidance for (d): \n\u2022 Accept \u201c4\u202ftimes\u202ftable\u201d or \u201c4 is even.\u201d \n\u2022 Accept any reason that has explanatory value, e.g. odd\u00b2\u202f=\u202fodd. \n\u2022 If 0 scored, instead award: \n \u2013 B1 shows true for patterns\u202f1,\u202f2 and\u202f3 \n \u2013 B1 shows true for at least two more patterns", + "text": "12 (a) [2 marks: 1 AO2.1a, 1 AO2.3b] \n\u2022 B1 for 4 \u00d7 4 dotted squares correct \n\u2022 B1 for 4 blocks of 4 black squares correct \n\n12 (b) [2 marks: 1 AO1.3a, 1 AO2.1a] \n\u2022 Answer: 64 \n\u2022 M1 for 8 \u00d7 8 or 8\u00b2 or \u201c8 squared\u201d \n\n12 (c) [2 marks: 1 AO1.3a, 1 AO2.3a] \n\u2022 Answer: 4n \n\u2022 M1 for \u201c4, 8, 12\u201d seen \n\n12 (d) [2 AO2.2, 4 AO2.4b] \nNumber of blacks is always even (oe) and reason \nNumber of dots alternates between odd and even (oe) and reason \n\neven + even = even \nodd + even = odd \n\nB1 \nB1 \nB1 \nB1 \nB1 \nB1 \n\n\u2013 Accept 4 times table or \u201c4 is even.\u201d \n\u2013 Accept any reason that has explanatory value (e.g. odd\u00b2 = odd). \n\u2013 If 0 scored, instead award: \n \u2022 B1 shows true for patterns 1, 2 and 3 \n \u2022 B1 shows true for at least two more patterns", "num-marks": 12, "pages": [ 8 ], + "sub-questions": [ + "a", + "b", + "c", + "d" + ], "correctly_parsed": true, "images": [ "page8.png" ] }, "13": { - "text": "13 (a)(i) \nAnswer: \nAny straight line through the origin (e.g. y = 2x). \n\nMarks: 2 \n(1 AO1.1, 1 AO2.3b) \n\nPart marks and guidance: \n\u2022 B1 for a straight line \n\n13 (a)(ii) \nAnswer: \nAny cubic with two turning points (e.g. a typical \u201cS\u2010shaped\u201d cubic). \n\nMarks: 2 \n(1 AO1.1, 1 AO2.3b) \n\nPart marks and guidance: \n\u2022 B1 for a cubic with two turning points \n\n13 (b)(i) \nAnswer: \nAt least one point plotted correctly. \n\nMarks: 1 \n(1 AO2.3b)", + "text": "13 (a)(i) \nAnswer: Any straight line through the origin (for example) \nMarks: 2 (1 AO1.1, 1 AO2.3b) \nGuidance: B1 for a straight line \n\n13 (a)(ii) \nAnswer: (A correctly drawn) cubic with two turning points \nMarks: 2 (1 AO1.1, 1 AO2.3b) \nGuidance: B1 for a cubic with two turning points \n\n13 (b)(i) \nAnswer: At least one point plotted correctly \nMarks: 1 (1 AO2.3b)", "num-marks": 5, "pages": [ 9 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "14": { - "text": "14\u202f(a) \nAnswer: \u00a320\u202f000 \nMarks: 1 (1\u202fAO1.3a)\n\n\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\n14\u202f(b) \nAnswer: \u00a314\u202f580 or \u00a314\u202f600 \nMarks: 2 (2\u202fAO1.3a) \n\u2022 M1 for 20\u202f000 \u00d7 0.9\u00b3\n\n\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\n14\u202f(c) \nAnswer: 7\u202fyears \nMarks: 2 (1\u202fAO1.3a, 1\u202fAO3.1c) \n\u2022 M1 for 2 trials shown", + "text": "14\u202f(a) \nAnswer: \u00a320\u202f000 \nMarks: 1 \nAward: 1\u202fAO1.3a \n\n14\u202f(b) \nAnswer: \u00a314\u202f580 or \u00a314\u202f600 \nMarks: 2 \nAward: 2\u202fAO1.3a \n(M1 for 20\u202f000\u202f\u00d7\u202f0.9\u00b3) \n\n14\u202f(c) \nAnswer: 7\u202fyears \nMarks: 2 \nAward: 1\u202fAO1.3a, 1\u202fAO3.1c \n(M1 for 2\u202ftrials shown)", "num-marks": 5, "pages": [ 10 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "15": { - "text": "15 \nAnswer: 25, 30, 17 (with correct working) \nMarks: 5 \n(2 AO1.3a, 2 AO3.1d, 1 AO3.3)\n\n\u2022 M1 for x \u2013 8 + x + x + 5 = 72 \n\u2022 M1FT for 3x \u2013 3 = 72 \n\u2022 M1FT for 3x = 75 (implied by x = 25) \n\nAND \n\n\u2022 M1 for substituting their 25 into x \u2013 8 and x + 5 \n\nAlternative method using trials: \n\u2022 M3 for a correctly evaluated trial of x \u2013 8 + x + x + 5 with x = 25 \n OR M2 for at least two complete correct evaluations of x \u2013 8 + x + x + 5 \n OR M1 for at least one complete correct evaluation of x \u2013 8 + x + x + 5 \n\nAND \n\n\u2022 M1 for substituting their 25 into x \u2013 8 and x + 5 \n\nIf 0 or 1 scored, instead award SC2 for 25, 30, 17 with no working or insufficient working. \n\nIf 0 scored, instead award SC1 for x = 25 with no working or insufficient working. \n\n\u201cCorrect working\u201d requires evidence of at least M1M1M1 or M3. \n\nMethods shown use Kieran as x; apply similar schemes if using Jermaine or Chris as the subject. \n\nNote: x = 25 scores M1M1M1 if there is some supporting work, but on its own scores SC1.", + "text": "15 \nAnswer: 25, 30, 17 (with correct working) \nMarks: 5 (2 AO1.3a, 2 AO3.1d, 1 AO3.3)\n\n\u2022 M1 for x \u2212 8 + x + x + 5 = 72 \n\u2022 M1FT for 3x \u2212 3 = 72 \n\u2022 M1FT for 3x = 75 (implied by x = 25) \n\nAND \n\n\u2022 M1 for substituting their 25 into x \u2212 8 and x + 5 \n\nAlternative method using trials: \n\u2022 M3 for a correctly evaluated trial of x \u2212 8 + x + x + 5 with x = 25 \n or M2 for at least two complete correct evaluations of x \u2212 8 + x + x + 5 \n or M1 for at least one complete correct evaluation of x \u2212 8 + x + x + 5 \n\nAND \n\n\u2022 M1 for substituting their 25 into x \u2212 8 and x + 5 \n\nIf 0 or 1 scored, instead award SC2 for 25, 30, 17 with no working or insufficient working. \n\nIf 0 scored, instead award SC1 for x = 25 with no working or insufficient working. \n\n\u201cCorrect working\u201d requires evidence of at least M1M1M1 or M3. \nMethods shown use Kieran as x; apply similar schemes if using Jermaine or Chris as the subject. \n\nNote: x = 25 scores M1M1M1 if there is some supporting work but on its own scores SC1.", "num-marks": 5, "pages": [ 10, 11, 12 ], + "sub-questions": [], "correctly_parsed": true }, "16": { - "text": "16 (a) \nAnswer: 140\u2013160 (s) \nMarks: 3 \n(1 AO1.3a, 1 AO3.1d, 1 AO3.2) \n\u2022 B1 for 300 \u00b1 20 (m) \n\u2022 M1 for their \u201c300\u201d \u00f7 2 \n\n(b) \nAnswer: Correct location for F \nMarks: 2 \n(1 AO1.3a, 1 AO3.1d) \n\u2022 B1 for angle 55\u00b0 \u00b1 2\u00b0 \n\u2022 B1 for distance 8 cm \u00b1 0.2 \n\n(c) \nMarks: 4 \n(1 AO1.3b, 1 AO2.3b, 2 AO3.1d) \n\u2022 B1 for perpendicular bisector of PQ drawn \u00b1 2\u00b0 \n\u2022 B1 for arcs seen \n\u2022 B1 arc centre P, radius 4 \u00b1 0.2 cm \n\u2022 B1 for correct line segment marked (FT their constructions) \n\nArcs must be fit for purpose. \nMay be the same arcs as used for perpendicular bisector as shown.", + "text": "16 (a) \nAnswer: 140\u2013160 (s) [3 marks] \n1 AO1.3a, 1 AO3.1d, 1 AO3.2 \n\n\u2022 B1 for 300 \u00b1 20 (m) \n\u2022 M1 for their \u2018300\u2019 \u00f7 2 \n\n16 (b) \nAnswer: Correct location for F [2 marks] \n1 AO1.3a, 1 AO3.1d \n\n\u2022 B1 for angle 55\u00b0 \u00b1 2\u00b0 \n\u2022 B1 for distance 8 cm \u00b1 0.2 \n\n16 (c) [4 marks] \n1 AO1.3b, 1 AO2.3b, 2 AO3.1d \n\n\u2022 B1 for perpendicular bisector of PQ drawn \u00b1 2\u00b0 \n\u2022 B1 for arcs seen \n\u2022 B1 arc centre P, radius 4 \u00b1 0.2 cm \n\u2022 B1 for correct line segment marked \n FT their constructions \n\nArcs must be fit for purpose. May be the same arcs as used for perpendicular bisector as shown.", "num-marks": 9, "pages": [ 12 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "17": { - "text": "17 (a) \nAnswer: E \nMarks: 1 \n1 AO1.3a \n\n17 (b) \nAnswer: C and D \nMarks: 2 \n2 AO1.3a \nB1 for each", + "text": "17 (a) \nAnswer: E \nMarks: 1 \n(1 AO1.3a) \n\n17 (b) \nAnswer: C and D \nMarks: 2 \n(2 AO1.3a) \n\u2022 B1 for each", "num-marks": 3, "pages": [ 12 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "18": { - "text": "Answer (Question 18):\n\nAverage speed = Distance / Time = x/5 km/h \n= 1000x / (60\u00b2 \u00d7 5) m/s \n= 1000x / 18000 m/s (oe) \n= x/18 m/s \n\nMarks: 4 (2 AO1.3a, 2 AO2.2)\n\nPart marks and guidance:\n\u2022 B1 for x km = 1000x m \n\u2022 B1 for 5 hours = 60\u00b2 \u00d7 5 s \n\u2022 B1 for working to given answer without intermediate expression or statement of formula", + "text": "18 \nAverage speed = Distance \u00f7 Time = x/5 km/h \n= (1000x) \u00f7 (60\u00b2 \u00d7 5) m/s \n= (1000x) \u00f7 18000 m/s (oe) \n= x/18 m/s \n\n4 marks \n(2 AO1.3a, 2 AO2.2) \n\n\u2022 B1 for x km = 1000x m \n\u2022 B1 for 5 hours = 60\u00b2 \u00d7 5 s \n\u2022 B1 for working to given answer without intermediate expression or statement of formula", "num-marks": 4, "pages": [ 13 ], + "sub-questions": [], "correctly_parsed": true }, "19": { - "text": "19\u202f\u202f\u202f\u202fAnswer: 25\u202fwith correct working\u2003[5\u202fmarks] \n\u2003(2\u202fAO1.3b, 3\u202fAO3.1d) \n\n\u2022\u202fM1\u202ffor\u202f10\u202f\u00d7\u202f(2\u202f/\u202f5)\u202f=\u202f4\u202flitres red \n\u202f\u202f\u202for\u202ffor\u202f10\u202f\u00d7\u202f(3\u202f/\u202f5)\u202f=\u202f6\u202flitres white \n\n\u2022\u202fM1\u202ffor\u202fred\u202fcosts\u202f\u00a38\u202fper\u202flitre \n\u202f\u202f\u202for\u202ffor\u202fwhite\u202fcosts\u202f\u00a30.50\u202fper\u202flitre \n\n\u2022\u202fM1\u202ffor\u202fcost of one\u202f10\u2011litre\u202fcan\u202fis \n\u202f\u202f\u202f(their\u202f4\u202f\u00d7\u202ftheir\u202f8)\u202f+\u202f(their\u202f6\u202f\u00d7\u202ftheir\u202f0.5) \n\n\u2022\u202fM1\u202ffor\u202f60\u202f\u2013\u202ftheir\u202f35 \n\n\u2022\u202fIf\u202f0\u202for\u202f1\u202fscored, instead award\u202fSC2\u202ffor answer\u202f25\u202fwith no working or insufficient working \n\n\u201cCorrect working\u201d requires evidence of at least\u202fM1M1 \n\nAlternative method: \n\u2022\u202fM1\u202ffor\u202f2\u202f:\u202f3\u202f=\u202f20\u202flitres red\u202f:\u202f30\u202flitres white \n\u2022\u202fM1\u202ffor\u202f(2\u202f\u00d7\u202f\u00a380)\u202f+\u202f(3\u202f\u00d7\u202f\u00a35)\u202f=\u202f\u00a3175 \n\u2022\u202fM1\u202ffor\u202f(their\u202f175)\u202f\u00f7\u202f5\u202f=\u202f35 \n\u2022\u202fM1\u202ffor\u202f60\u202f\u2013\u202ftheir\u202f35", + "text": "19. \nAnswer: 25 with correct working \nMarks: 5 \n(2 AO1.3b, 3 AO3.1d) \n\n\u2022 M1 for 10 \u00d7 (2/5) = 4 litres of red paint \n or for 10 \u00d7 (3/5) = 6 litres of white paint \n\n\u2022 M1 for red paint costs \u00a38 per litre \n or for white paint costs \u00a30.50 per litre \n\n\u2022 M1 for cost of one 10-litre can: \n (their 4 \u00d7 their 8) + (their 6 \u00d7 their 0.5) \n\n\u2022 M1 for 60 \u2013 their 35 \n\n\u2022 If 0 or 1 mark is scored, award SC2 for answer of 25 with no working or insufficient working \n\n\u201cCorrect working\u201d requires evidence of at least M1M1. \n\nAlternative method: \n\u2022 M1 for the ratio 2 : 3, giving 20 litres red and 30 litres white \n\u2022 M1 for 2 \u00d7 \u00a380 + 3 \u00d7 \u00a35 = \u00a3175 \n\u2022 M1 for (their 175 \u00f7 5) = 35 \n\u2022 M1 for 60 \u2013 their 35", "num-marks": 5, "pages": [ 13 ], + "sub-questions": [], "correctly_parsed": true }, "20": { - "text": "20 Answer: 2.8(0\u2026)\n\nMarks: 3 \n1 AO1.1 \n2 AO1.3a \n\nB1 for tan \u03b8 = opp/adj \nM1 for 4 \u00d7 tan 35", + "text": "20 2.8(0\u2026) 3 marks\n\n\u2022 1 AO1.1 \n\u2022 2 AO1.3a \n\nB1 for tan \u03b8 = (opp)/(adj) \nM1 for 4 \u00d7 tan(35)", "num-marks": 3, "pages": [ 13 ], + "sub-questions": [], "correctly_parsed": true }, "21": { - "text": "Question 21\n\nAnswer: 0.82 (or equivalent) \nTotal marks: 4 \n(1 AO1.3a, 3 AO3.1d)\n\nMarking instructions: \n\u2022 M3 for 0.7 \u00d7 0.4 + 0.7 \u00d7 0.6 + 0.3 \u00d7 0.4, or for 1 \u2013 0.18 \n\u2022 OR M2 for two correct products \n\u2022 OR M1 for one correct product, or for 0.3 and 0.6 seen (may be on a tree diagram or equivalent)", + "text": "Question 21 \nAnswer: 0.82 (oe) \nMarks: 4 (1 AO1.3a, 3 AO3.1d) \n\nPart marks and guidance: \n\u2022 M3 for 0.7 \u00d7 0.4 + 0.7 \u00d7 0.6 + 0.3 \u00d7 0.4, or 1 \u2013 0.18 \n\u2022 Or M2 for two correct products \n\u2022 Or M1 for one correct product or 0.3 and 0.6 seen (may be on a tree diagram or equivalent)", "num-marks": 4, "pages": [ 14 ], + "sub-questions": [], "correctly_parsed": true } } \ No newline at end of file diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" index 6f9f98661..2c91edaee 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" @@ -1,5 +1,11 @@ { - "1": [ + "1.a": [ + 5 + ], + "1.b": [ + 5 + ], + "1.c": [ 5 ], "2": [ @@ -8,7 +14,10 @@ "3": [ 5 ], - "4": [ + "4.a": [ + 6 + ], + "4.b": [ 6 ], "5": [ @@ -17,28 +26,58 @@ "6": [ 6 ], - "7": [ + "7.a": [ + 6 + ], + "7.b": [ 6 ], "8": [ 7 ], - "9": [ + "9.a": [ 7 ], - "10": [ + "9.b": [ + 7 + ], + "9.c": [ + 7 + ], + "10.a": [ + 7 + ], + "10.b": [ 7 ], "11": [ 7 ], - "12": [ + "12.a": [ + 8 + ], + "12.b": [ 8 ], - "13": [ + "12.c": [ + 8 + ], + "12.d": [ + 8 + ], + "13.a": [ 9 ], - "14": [ + "13.b": [ + 9 + ], + "14.a": [ + 10 + ], + "14.b": [ + 10 + ], + "14.c": [ 10 ], "15": [ @@ -46,10 +85,19 @@ 11, 12 ], - "16": [ + "16.a": [ + 12 + ], + "16.b": [ + 12 + ], + "16.c": [ + 12 + ], + "17.a": [ 12 ], - "17": [ + "17.b": [ 12 ], "18": [ diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" index 4d7dc062e..de644c3e8 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" @@ -1,191 +1,242 @@ { "1": { - "text": "1\u202f(a) Write 40\u202f:\u202f2000 as a ratio in its simplest form.\n\n(a) \u2026\u2026\u2026\u2026 : \u2026\u2026\u2026\u2026\u2003[2]\n\n(b) Two people share \u00a3350 in the ratio 1\u202f:\u202f6. \n\u2003\u2003Calculate each share.\n\n(b) \u00a3 \u2026\u2026\u2026\u2026 \u2003 \u00a3 \u2026\u2026\u2026\u2026\u2003[2]\n\n(c) Find 20% of 450.\n\n(c) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2003[2]", + "text": "1\u202f(a)\u202fWrite 40\u202f:\u202f2000 as a ratio in its simplest form. \n(a) \u2026 : \u2026 [2]\n\n(b)\u202fTwo people share \u00a3350 in the ratio 1\u202f:\u202f6. \nCalculate each share. \n(b) \u00a3\u2026 \u00a3\u2026 [2]\n\n(c)\u202fFind 20% of 450. \n(c) \u2026 [2]", "text-only": true, "pages": [ 2 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "2": { - "text": "2 Write these in order, smallest first.\n\n0.34 1/3 3.5%\n\n\u2026\u2026\u2026\u2026\u2026\u2026 \u2026\u2026\u2026\u2026\u2026\u2026 \u2026\u2026\u2026\u2026\u2026\u2026 [2] \n smallest", + "text": "2) Write these in order, smallest first:\n\n 0.34 1/3 3.5%\n\n \u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2] \n smallest", "text-only": true, "pages": [ 2 ], + "sub-questions": [], "correctly_parsed": true }, "3": { - "text": "3 Colin drinks 3/8 of a litre of milk each day. \n Milk costs 89p for a 2-litre carton and 49p for a 1-litre carton.\n\n What is the smallest amount that Colin would have to spend to buy milk \n for one week? Show your working.\n\n \u00a3 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3]", + "text": "3) Colin drinks \u00b3/\u2088 of a litre of milk each day.\n\nMilk costs 89p for a 2-litre carton and 49p for a 1-litre carton.\n\nWhat is the smallest amount that Colin would have to spend to buy milk for one week? \nShow your working.\n\n\u00a3............................... [3]", "text-only": true, "pages": [ 2 ], + "sub-questions": [], "correctly_parsed": true }, "4": { - "text": "4\u202f\u202fAn unbiased spinner is shown below.\n\n(a)\u2003Write a number to make each sentence true.\n\n\u2003(i)\u2003It is evens that the spinner will land on number \u2026\u2026\u2026\u2026 . [1] \n\u2003(ii)\u2003There is a probability of 1/6 that the spinner will land on number \u2026\u2026\u2026\u2026 . [1] \n\u2003(iii)\u2003It is impossible that the spinner will land on number \u2026\u2026\u2026\u2026 . [1]\n\n(b)\u2003The spinner below has the following properties: \n\u2022\u2002There are eight equal sections, each showing one number. \n\u2022\u2002There are three different numbers on the spinner. \n\u2022\u2002The probability of the spinner landing on an even number is greater than the probability of it landing on an odd number. \n\u2022\u2002It is more likely that the spinner will land on a 6 than either of the other numbers.\n\nComplete the spinner to show one possible arrangement of numbers.\n\n[3]", + "text": "4 An unbiased spinner is shown below.\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 5 \u2502 5 \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 5 \u2502 3 \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 3 \u2502 1 \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n\n(a) Write a number to make each sentence true:\n\n (i) It is evens that the spinner will land on number \u2026\u2026\u2026\u2026 . [1]\n\n (ii) There is a probability of 1/6 that the spinner will land on number \u2026\u2026. . [1]\n\n (iii) It is impossible that the spinner will land on number \u2026\u2026\u2026\u2026 . [1]\n\n\n(b) The spinner below has the following properties:\n \u2022 There are eight equal sections, each showing one number.\n \u2022 There are three different numbers on the spinner.\n \u2022 The probability of the spinner landing on an even number is greater than \n the probability of it landing on an odd number.\n \u2022 It is more likely that the spinner will land on a 6 than either of the other numbers.\n\n Complete the spinner to show one possible arrangement of numbers. [3]", "text-only": true, "pages": [ 3 ], - "correctly_parsed": true, - "images": [ - "page3.png" - ] + "sub-questions": [ + "a", + "b" + ], + "correctly_parsed": true }, "5": { - "text": "5\u202f\u202fThis shape is made from three congruent right-angled triangles.\n\n (Not to scale)\n \n /|\n / |\n / |\n / |\n / |\n /_____|\n 8\u202fcm 4\u202fcm\n\nFind the total area of the shape.\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 cm\u00b2\u202f\u202f[3]", + "text": "5 This shape is made from three congruent right-angled triangles.\n\n \u250c\u2500\u2500\u2500\n \u2502\n \u2502 Not to scale\n \u2502\\\n \u2502 \\\n \u2502 \\\n \u2514\u2500\u2500\u2500\u2518\n \u2190 8 cm \u2192\n \u2191\n 4 cm\n\nFind the total area of the shape.\n\n......................... cm\u00b2 [3]", "text-only": true, "pages": [ 4 ], + "sub-questions": [], "correctly_parsed": true, "images": [ "page4.png" ] }, "6": { - "text": "6\u202fHere is a Venn diagram.\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 Dog \u2502\n \u2502 8 \u2502\n \u2502 \u250c\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518 Cat \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n\n30\u202fstudents are asked if they have a dog or cat: \n\u2022\u202f21\u202fhave a dog. \n\u2022\u202f16\u202fhave a cat. \n\u2022\u202f8\u202fhave a dog, but\u202fnot\u202fa cat. \n\nComplete the Venn diagram. [3]", + "text": "6\u202fHere is a Venn diagram.\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510 \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 Dog \u2502 \u2502 Cat \u2502\n \u2502 8 \u2502 \u2502 \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n \u2500\u2500\u2500\u2500\u2500\u2500\n (overlap)\n\n30 students are asked if they have a dog or cat:\n\u2022 21 have a dog.\n\u2022 16 have a cat.\n\u2022 8 have a dog, but not a cat.\n\nComplete the Venn diagram. [3]", "text-only": true, "pages": [ 4 ], + "sub-questions": [], "correctly_parsed": true, "images": [ "page4.png" ] }, "7": { - "text": "7 (a) Write numbers in the boxes below to make the statement true:\n\n15 \u00d7 20 = 5 \u00d7 [ ] = 6 \u00d7 [ ]\n\n[2]\n\n(b) Angus thinks of a number. \nIf he cubes his number and then adds 9, he gets 17. \n\nWhat number is he thinking of?\n\n(b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", + "text": "7 (a) Write numbers in the boxes below to make the statement true.\n\n 15 \u00d7 20 = 5 \u00d7 \u25a1 = 6 \u00d7 \u25a1\n\n [2]\n\n(b) Angus thinks of a number.\n If he cubes his number and then adds 9, he gets 17.\n\n What number is he thinking of?\n\n (b) ______________________________ [2]", "text-only": true, "pages": [ 5 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "8": { - "text": "8) The diagram shows a triangle:\n\n (diagram with a 40\u00b0 angle at one vertex, and a side-mark indicating two equal sides. \n The angle at the other base vertex is labeled x.)\n\nFind the value of x. \nGive a reason for each step of your working.\n\nx = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u00b0 [3]", + "text": "8\u202f\u202fThe diagram shows a triangle\u202f(Not to scale):\n\n \u2022 The side from the top vertex to the left vertex is marked with a short dash. \n \u2022 The side along the base (from the left vertex to the right vertex) is also marked with a short dash, indicating these two sides are equal in length. \n \u2022 The angle at the bottom-left corner is 40\u00b0. \n \u2022 The angle at the bottom-right corner is labeled x. \n\nFind the value of x. \nGive a reason for each step of your working.\n\nx = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u00b0 [3]", "text-only": true, "pages": [ 5 ], + "sub-questions": [], "correctly_parsed": true }, "9": { - "text": "9\u202f\u202f\u202fThe pictogram shows how some passengers spent most of their time on a flight.\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 Reading \u2502 [\u25a0][\u25a0][\u25a0] \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Watching films \u2502 [\u25a0][\u25a0][\u25a0][\u00bd\u25a0] \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Listening to music \u2502 \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Playing games \u2502 [\u25a0][\u25a0][\u25a0][\u00bd\u25a0][\u00bd\u25a0] \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Other \u2502 [\u25a0][\u00bd\u25a0] \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n\nKey: [\u25a0] represents 40 people\n\n(a) How many passengers spent most of their time playing games? \n (a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) How many more passengers spent most of their time watching films than reading? \n (b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(c) There were 360 passengers on the plane. \n Complete the pictogram for listening to music. \n [3]", + "text": "9\u202f\u202f\u202fThe pictogram shows how some passengers spent most of their time on a flight:\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 Reading \u2502 [\u25a1][\u25a1][\u25a1] \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Watching films \u2502 [\u25a1][\u25a1][\u25a1][\u00bd\u25a1] \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Listening to music\u2502 \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Playing games \u2502 [\u25a1][\u25a1][\u25a1][\u25a1][\u25a1][\u00bd\u25a1] \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Other \u2502 [\u25a1][\u25a1] \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n\nKey: \u25a1 represents 40 people \n \u00bd\u25a1 represents 20 people \n\n(a) How many passengers spent most of their time playing games? \n (a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) How many more passengers spent most of their time watching films than reading? \n (b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(c) There were 360 passengers on the plane. \n Complete the pictogram for \u201cListening to music.\u201d \n [3]", "text-only": true, "pages": [ 6 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "10": { - "text": "10 (a) Insert one of <, > or = to make each statement true.\n\n (i) \u20135 \u2026\u2026\u2026\u2026\u2026 \u20137 [1]\n\n (ii) 0.09 \u2026\u2026\u2026\u2026\u2026 0.8 [1]\n\n (iii) 6\u00b2 \u2026\u2026\u2026\u2026\u2026 12 [1]\n\n(b) Work out the value of 5\u00b2 \u00d7 10\u00b2. \n \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", + "text": "10 (a) Insert one of <, > or = to make each statement true.\n\n(i) \u20135 \u2026\u2026\u2026 \u20137 [1] \n(ii) 0.09 \u2026\u2026\u2026 0.8 [1] \n(iii) 6\u00b2 \u2026\u2026\u2026 12 [1] \n\n(b) Work out the value of 5\u00b2 \u00d7 10\u00b2. \n(b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", "text-only": true, "pages": [ 7 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "11": { - "text": "11. Show that 4(a + 3) \u2013 3(a \u2013 2) = a + 18.", + "text": "11\u202fShow that 4(a\u202f+\u202f3)\u202f\u2212\u202f3(a\u202f\u2212\u202f2) = a\u202f+\u202f18. [2]", "text-only": true, "pages": [ 7 ], + "sub-questions": [], "correctly_parsed": true }, "12": { - "text": "12. Here are the first three patterns in a sequence:\n\n Pattern 1 Pattern 2 Pattern 3 \n \n(a) Draw Pattern 4 in this sequence on the grid below. \n \n[2]\n\n(b) Pattern 3 has 9 dotted squares and 12 black squares. \n How many dotted squares will there be in Pattern 8? \n\n(b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n(c) Write an expression for the number of black squares in the nth pattern. \n\n(c) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n(d) Sally looks at the patterns. She says: \n \u201cIf the pattern number is odd, the total number of squares will be odd. \n If it is even, the total number of squares will be even.\u201d \n\n Explain clearly why Sally is right for all patterns in the sequence. \n\n \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n [6]", - "text-only": false, + "text": "12\u202f\u202fHere are the first three patterns in a sequence:\n\n[Diagram shows: \n\u2022 Pattern\u202f1 with 1 dotted square in the middle and 4 black squares forming a plus shape around it. \n\u2022 Pattern\u202f2 with 4 dotted squares in the middle (2\u00d72) and black squares framing them. \n\u2022 Pattern\u202f3 with 9 dotted squares (3\u00d73) in the middle and a black frame around them.]\n\n(a) Draw Pattern\u202f4 in this sequence on the grid below. \n\u2003[2 marks]\n\n(b) Pattern\u202f3 has 9 dotted squares and 12 black squares. \n\u2003How many dotted squares will there be in Pattern\u202f8? \n\u2003[2 marks]\n\n(c) Write an expression for the number of black squares in the nth pattern. \n\u2003[2 marks]\n\n(d) Sally looks at the patterns. She says: \n\u2003\u201cIf the pattern number is odd, the total number of squares will be odd. \n\u2003 If it is even, the total number of squares will be even.\u201d \n\n\u2003Explain clearly why Sally is right for all patterns in the sequence. \n\u2003[6 marks]", + "text-only": true, "pages": [ 8, 9 ], - "correctly_parsed": true, - "images": [ - "page8.png" - ] + "sub-questions": [ + "a", + "b", + "c", + "d" + ], + "correctly_parsed": true }, "13": { - "text": "13 (a) (i) Sketch a graph on the axes below that shows that y is directly proportional to x. [2]\n\n (ii) Sketch a graph on the axes below that shows y = x\u00b3. [2]\n\n(b) It is possible to draw many rectangles that have area 24\u202fcm\u00b2. Here are two of them:\n \u2022 A 12\u202fcm \u00d7 2\u202fcm rectangle\n \u2022 An 8\u202fcm \u00d7 3\u202fcm rectangle\n\n (i) Plot the dimensions of these two rectangles on the grid below. [1]\n\n (ii) Complete the graph to show the relationship between length and width for rectangles with area 24\u202fcm\u00b2. [3]", + "text": "13\u202f(a)\u202f(i) Sketch a graph on the axes below that shows that y is directly proportional to x. \n[2]\n\n(ii) Sketch a graph on the axes below that shows y = x\u00b3. \n[2]\n\n(b) It is possible to draw many rectangles that have area 24\u202fcm\u00b2. Here are two of them:\n\n \u2022 A rectangle measuring 12\u202fcm by 2\u202fcm \n \u2022 A rectangle measuring 8\u202fcm by 3\u202fcm \n\n(i) Plot the dimensions of these two rectangles on the grid below. \n[1]\n\n(ii) Complete the graph to show the relationship between length and width for rectangles with area 24\u202fcm\u00b2. \n[3]", "text-only": false, "pages": [ 10, 11 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "14": { - "text": "14 The value of a car \u00a3V is given by \n V = 20 000 \u00d7 0.9^t \n where t is the age of the car in complete years.\n\n(a) Write down the value of V when t = 0. \n (a) \u00a3 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) What is the value of V when t = 3? \n (b) \u00a3 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n(c) After how many complete years will the car\u2019s value drop below \u00a310 000? \n (c) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", + "text": "14 The value of a car \u00a3V is given by \n V = 20 000 \u00d7 0.9^t \nwhere t is the age of the car in complete years. \n\n(a) Write down the value of V when t = 0. \n(a) \u00a3 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1] \n\n(b) What is the value of V when t = 3? \n(b) \u00a3 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2] \n\n(c) After how many complete years will the car\u2019s value drop below \u00a310 000? \n(c) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", "text-only": true, "pages": [ 12 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "15": { - "text": "15) Kieran, Jermaine and Chris play football.\n\n\u2022 Kieran has scored 8 more goals than Chris. \n\u2022 Jermaine has scored 5 more goals than Kieran. \n\u2022 Altogether they have scored 72 goals.\n\nHow many goals did they each score? \nYou must show your working.", + "text": "15) Kieran, Jermaine and Chris play football.\n\n\u2022 Kieran has scored 8 more goals than Chris. \n\u2022 Jermaine has scored 5 more goals than Kieran. \n\u2022 Altogether they have scored 72 goals.\n\nHow many goals did they each score? \nYou must show your working.\n\nKieran \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \nJermaine \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \nChris \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\n[5]", "text-only": true, "pages": [ 13 ], + "sub-questions": [], "correctly_parsed": true }, "16": { - "text": "16 Otis keeps bees in two beehives. \nThey are marked P and Q in the scale drawing below. \n\nScale: 1\u202fcm represents 50\u202fmetres\n\n \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n | North |\n | \u2191 |\n | P |\n | |\n | \u2022 Q |\n \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n\n(a) If Otis walks at about 2\u202fm/s, estimate how long it takes him to walk from beehive P to beehive Q. \n (a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3] \n\n(b) Bees can indicate to other bees where flowers are. \n A bee indicates that there are flowers \n \u2022 on a bearing of 055\u00b0 from P \n \u2022 at a distance of 400\u202fm from P. \n On the scale drawing, show the point where the flowers are. \n Label this point F. [2] \n\n(c) Otis plants some fruit trees, which are \n \u2022 the same distance from P and from Q \n \u2022 200\u202fm or less from P. \n Indicate on the scale drawing where Otis plants the trees. \n You must show all your construction lines. [4]", + "text": "16 Otis keeps bees in two beehives. \nThey are marked P and Q in the scale drawing below.\n\nScale: 1 cm represents 50 metres\n\n(a) If Otis walks at about 2 m/s, estimate how long it takes him to walk from beehive P to beehive Q. \n\u2003(a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3]\n\n(b) Bees can indicate to other bees where flowers are. \n\u2003A bee indicates that there are flowers \n\u2003\u2022 on a bearing of 055\u00b0 from P \n\u2003\u2022 at a distance of 400 m from P. \n\u2003On the scale drawing, show the point where the flowers are. \n\u2003Label this point F. [2]\n\n(c) Otis plants some fruit trees, which are \n\u2003\u2022 the same distance from P and from Q \n\u2003\u2022 200 m or less from P. \n\u2003Indicate on the scale drawing where Otis plants the trees. \n\u2003You must show all your construction lines. [4]", "text-only": false, "pages": [ 14, 15 ], - "correctly_parsed": true, - "images": [ - "page14.png" - ] + "sub-questions": [ + "a", + "b", + "c" + ], + "correctly_parsed": true }, "17": { - "text": "17\u202f\u202fSix equations are shown below, each labelled with a letter:\n\nA\u2003\u2003y = 6x \nB\u2003\u2003x = \u00b9/\u2086y \nC\u2003\u2003y = \u22123/x \nD\u2003\u2003x = 6/y \nE\u2003\u2003y = 6x \nF\u2003\u2003y = 2/x + 2 \n\nChoose the correct letters to make each statement true:\n\n(a)\u2003Equation B and equation \u2026\u2026\u2026\u2026. are equivalent. \u2003\u2003\u2003[1]\n\n(b)\u2003Equation \u2026\u2026\u2026\u2026. and equation \u2026\u2026\u2026\u2026. each show x is inversely proportional to y. \u2003\u2003[2]", + "text": "17 Six equations are shown below, each labelled with a letter:\n\nA. y = 6x \nB. x = \u215f\u2086y \nC. y = \u22123/x \nD. x = 6/y \nE. y = 6x \nF. y = (2/x) + 2 \n\nChoose the correct letters to make each statement true.\n\n(a) Equation B and equation \u2026\u2026\u2026\u2026\u2026 are equivalent. [1]\n\n(b) Equation \u2026\u2026\u2026\u2026\u2026 and equation \u2026\u2026\u2026\u2026\u2026 each show x is inversely proportional to y. [2]", "text-only": true, "pages": [ 16 ], - "correctly_parsed": true + "sub-questions": [ + "a", + "b" + ], + "correctly_parsed": true, + "images": [ + "page16.png" + ] }, "18": { - "text": "18 Jo went for a bike ride one evening. \nShe travelled x kilometres in 5 hours.\n\nShow that her average speed can be written as x/18 m/s. [4]", + "text": "18\u202f\u202fJo went for a bike ride one evening. \n\u202f\u202f\u202f\u202fShe travelled x kilometres in 5 hours. \n\n\u202f\u202f\u202f\u202fShow that her average speed can be written as x/18 m/s. [4]", "text-only": true, "pages": [ 16 ], + "sub-questions": [], "correctly_parsed": true }, "19": { - "text": "19 Peter makes a large amount of pink paint by mixing red and white paint in the ratio 2 : 3.\n\nRed paint costs \u00a380 per 10 litres. \nWhite paint costs \u00a35 per 10 litres. \n\nPeter sells his pink paint in 10-litre tins for \u00a360 per tin. \n\nCalculate how much profit he makes for each tin he sells. \nYou must show your working. \n\n[5]", + "text": "19. Peter makes a large amount of pink paint by mixing red and white paint in the ratio 2 : 3.\n\n\u2022 Red paint costs \u00a380 per 10 litres. \n\u2022 White paint costs \u00a35 per 10 litres. \n\nPeter sells his pink paint in 10-litre tins for \u00a360 per tin.\n\nCalculate how much profit he makes for each tin he sells. \nYou must show your working. \n\n[5 marks]", "text-only": true, "pages": [ 17 ], + "sub-questions": [], "correctly_parsed": true }, "20": { - "text": "20\u202f\u202fThe diagram shows a right-angled triangle (not to scale).\n\n 35\u00b0\n /|\n / |\n / | x\n / |\n /35\u00b0 |\n /_____|\n 4 cm \n\nCalculate x.\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026 cm\u202f [3]", + "text": "20 The diagram shows a right-angled triangle (not to scale):\n\n /|\n / |\n / | x\n / |\n /35\u00b0 |\n/_____|\n 4 cm\n\nCalculate x.\n\n............................. cm [3]", "text-only": true, "pages": [ 18 ], + "sub-questions": [], "correctly_parsed": true, "images": [ "page18.png" ] }, "21": { - "text": "21) Louise travels to work and home again by train.\n\n\u2022 The probability that her train to work is late is 0.7. \n\u2022 The probability that her train home is late is 0.4.\n\nWhat is the probability that at least one of her trains is late?\n\n[4]", + "text": "21 Louise travels to work and home again by train.\n\nThe probability that her train to work is late is 0.7. \nThe probability that her train home is late is 0.4. \n\nWhat is the probability that at least one of her trains is late?\n\n[4]", "text-only": true, "pages": [ 19 ], + "sub-questions": [], "correctly_parsed": true } } \ No newline at end of file diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" index 8d5a38af3..d905d5c31 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_01_Paper_1_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" @@ -1,5 +1,11 @@ { - "1": [ + "1.a": [ + 2 + ], + "1.b": [ + 2 + ], + "1.c": [ 2 ], "2": [ @@ -8,7 +14,10 @@ "3": [ 2 ], - "4": [ + "4.a": [ + 3 + ], + "4.b": [ 3 ], "5": [ @@ -17,40 +26,76 @@ "6": [ 4 ], - "7": [ + "7.a": [ + 5 + ], + "7.b": [ 5 ], "8": [ 5 ], - "9": [ + "9.a": [ + 6 + ], + "9.b": [ 6 ], - "10": [ + "9.c": [ + 6 + ], + "10.a": [ + 7 + ], + "10.b": [ 7 ], "11": [ 7 ], - "12": [ - 8, + "12.a": [ + 8 + ], + "12.b": [ + 8 + ], + "12.c": [ + 9 + ], + "12.d": [ 9 ], - "13": [ - 10, + "13.a": [ + 10 + ], + "13.b": [ 11 ], - "14": [ + "14.a": [ + 12 + ], + "14.b": [ + 12 + ], + "14.c": [ 12 ], "15": [ 13 ], - "16": [ - 14, + "16.a": [ + 14 + ], + "16.b": [ 15 ], - "17": [ + "16.c": [ + 15 + ], + "17.a": [ + 16 + ], + "17.b": [ 16 ], "18": [ diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" index 845c040ec..6bceff578 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" @@ -1,160 +1,239 @@ { "1": { - "text": "Question 1\n\n(a) \nAnswer: 7 \nMarks: 1 \nPart marks and guidance: 1 AO1.3a \n\n(b) \nAnswer: 4 \nMarks: 1 \nPart marks and guidance: 1 AO1.3a", + "text": "Question 1(a) \nAnswer: 7 \nMarks: 1 \nPart marks and guidance: 1 AO1.3a \n\nQuestion 1(b) \nAnswer: 4 \nMarks: 1 \nPart marks and guidance: 1 AO1.3a", "num-marks": 2, "pages": [ 5 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "2": { - "text": "Question 2\n\n(a) \nAnswer: 0.1 (2 marks)\n\n\u2022 2 AO1.3a \n \u2013 M1 for 0.4 + 0.2 + 0.3 (soi) or 1 \u2212 their \u201c0.9\u201d\n\n(b) \nAnswer: 0.7 (2 marks)\n\n\u2022 2 AO1.3a \n \u2013 M1 for 0.4 and 0.3 identified", + "text": "2 (a) \nAnswer: 0.1 \nMarks: 2 \nPart marks and guidance: \n\u2022 2 AO1.3a \n\u2022 M1 for 0.4 + 0.2 + 0.3 soi, or 1 \u2013 their \u20180.9\u2019 \n\n2 (b) \nAnswer: 0.7 \nMarks: 2 \nPart marks and guidance: \n\u2022 2 AO1.3a \n\u2022 M1 for 0.4 and 0.3 identified", "num-marks": 4, "pages": [ 5 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "3": { - "text": "3 (a) Any two odd primes added correctly \n\u2022 1 mark (AO2.1a) \n e.g. 3 + 5 = 8 \n\n(b) An odd integer squared with correct result \n\u2022 1 mark (AO2.1a) \n e.g. 5\u00b2 = 25", + "text": "3 (a) \nAny two odd primes added correctly \nMarks: 1 \n1 AO2.1a \ne.g. 3 + 5 = 8 \n\n3 (b) \nAn odd integer squared with the correct result \nMarks: 1 \n1 AO2.1a \ne.g. 5\u00b2 = 25", "num-marks": 2, "pages": [ 5 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "4": { - "text": "4 \nAnswer: [\u00a3]1800 \nMarks: 4 (2 AO1.3b, 2 AO3.1d) \n\nM1 for 1/4 + 1/2 = 3/4 (soi) \nM1 for 1/4 (of the rent) = 450 \nM1 for 450 \u00d7 4 (oe using percentages or decimals)", + "text": "[\u00a3]1800 (4 marks) \n\u2022 2 AO1.3b, 2 AO3.1d \n\nM1 for 1/4 + 1/2 = 3/4 (soi) \nM1 for 1/4 (of the rent) = 450 \nM1 for 450 \u00d7 4 (oe using percentages or decimals)", "num-marks": 4, "pages": [ 5 ], + "sub-questions": [], "correctly_parsed": true }, "5": { - "text": "5 (a) \nAnswer: China \nMarks: 1 \nPart marks and guidance: \n\u2022 1 AO2.3a \n\n5 (b) \nAnswer: 27 100 000 \nMarks: 1 \nPart marks and guidance: \n\u2022 1 AO1.3a \n\n5 (c) \nAnswer: 7.82 \u00d7 10\u2079 \nMarks: 2 \nPart marks and guidance: \n\u2022 1 AO1.2 \n\u2022 1 AO1.3a \n\u2022 M1 for attempting to multiply by 1000 \n\n5 (d) \nAnswer: 7.85 \u00d7 10\u2077 \nMarks: 2 \nPart marks and guidance: \n\u2022 2 AO1.3a \n\u2022 M1 for 9.9 \u2013 2.05 soi", + "text": "5 (a) \nAnswer: China \nMarks: 1 \nPart marks and guidance: 1 AO2.3a \n\n5 (b) \nAnswer: 27 100 000 \nMarks: 1 \nPart marks and guidance: 1 AO1.3a \n\n5 (c) \nAnswer: 7.82 \u00d7 10\u2079 \nMarks: 2 \nPart marks and guidance: \n \u2022 1 AO1.2 \n \u2022 1 AO1.3a \n \u2022 M1 for attempting to multiply by 1000 \n\n5 (d) \nAnswer: 7.85 \u00d7 10\u2077 \nMarks: 2 \nPart marks and guidance: \n \u2022 2 AO1.3a \n \u2022 M1 for 9.9 \u2013 2.05 soi", "num-marks": 6, "pages": [ 5 ], + "sub-questions": [ + "a", + "b", + "c", + "d" + ], "correctly_parsed": true }, "6": { - "text": "6 (a) \nAnswer: 40 (cm) \nMarks: 2 \n\nPart marks and guidance: \n\u2022 1 AO1.3a \n\u2022 1 AO3.1a \nM1 for 4 \u00d7 their \u221a100 \n\n(b) \nAnswer: Correct working leading to 4 cm \nMarks: 4 \n\nPart marks and guidance: \n\u2022 1 AO1.3b \n\u2022 2 AO2.2 \n\u2022 1 AO2.4a \nB1 for area of triangle = 24 \nB1 for their \u201824\u2019 \u00d7 3 \nB1 for their \u201872\u2019 \u00f7 18 \n(or area of parallelogram = 18h)", + "text": "6 (a) \nAnswer: 40 (cm) \nMarks: 2 \n\u2022 1 AO1.3a \n\u2022 1 AO3.1a \nM1 for 4 \u00d7 their \u221a100 \n\n(b) \nAnswer: Correct working leading to 4 cm \nMarks: 4 \n\u2022 1 AO1.3b \n\u2022 2 AO2.2 \n\u2022 1 AO2.4a \nB1 for area of triangle is 24 \nB1 for their \u201824\u2019 \u00d7 3 \nB1 for their \u201872\u2019 \u00f7 18 \n(or area of parallelogram = 18h)", "num-marks": 6, "pages": [ 6 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "7": { - "text": "7 (a) \nAnswer: 54 \nMarks: 1 \nAO: 1 AO3.1a \n\n(b) \nAnswer: 5 \nMarks: 2 \nAOs: 1 AO1.1, 1 AO3.1a \nGuidance: M1 for a complete factor tree (or equivalent)", + "text": "7 (a) \nAnswer: 54 \nMarks: 1 \n\u2022 1 AO3.1a \n\n7 (b) \nAnswer: 5 \nMarks: 2 \n\u2022 1 AO1.1 \n\u2022 1 AO3.1a \n\u2022 M1 for a complete factor tree (or equivalent)", "num-marks": 3, "pages": [ 6 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "8": { - "text": "8 (a) \nAnswer: 8 \nMarks: 3 (2 AO1.3a, 1 AO3.1b) \n\n\u2022 M1 for dividing by 3 or 13 \n\u2022 M1 for dividing by the remaining factor \n\u2022 M1 for multiplying 3 by 13 \n\u2022 M1 for dividing by 39 or listing multiples of 39 \n\n(b) \nAnswer: Any three valid answers (e.g. 2, 7, 23) \nMarks: 3 (1 AO1.1, 2 AO3.1a) \n\n\u2022 B1 for each \n\u2022 If 0 scored, instead award SC1 for at least 3 primes and 3 squares seen", + "text": "8 (a) \nAnswer: 8 \nMarks: 3 (2 AO1.3a, 1 AO3.1b) \n\u2022 M1 for dividing by 3 or 13 \n\u2022 M1 for dividing by remaining factor \n\u2022 M1 for multiplying 3 by 13 \n\u2022 M1 for dividing by 39 or listing multiples of 39 \n\n(b) \nAnswer: Any three valid answers (e.g. 2, 7, 23) \nMarks: 3 (1 AO1.1, 2 AO3.1a) \n\u2022 B1 for each \n\u2022 If 0 scored, instead award SC1 for at least 3 primes and 3 squares seen", "num-marks": 6, "pages": [ 6 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "9": { - "text": "9 (a) \nAnswer: 2 \nMarks: 2 (1 AO1.1, 1 AO2.1a) \n\u2022 B1 for 2 correct. \n\nPrism | Number of faces | Number of edges | Number of vertices \nTriangular (3 sides) | 5 | 9 | 6 \nRectangular (4 sides) | 6 | 12 | 8 \nPentagonal (5 sides) | 7 | 15 | 10 \nHexagonal (6 sides) | 8 | 18 | 12 \n\n(b) \nAnswer: 300 (edges), 200 (vertices) \nMarks: 2 (2 AO2.1a) \n\u2022 1 mark for 300 (edges). \n\u2022 1 mark for 200 (vertices). \n\n(c) \nAnswer: F = N + 2 (or equivalent) \nMarks: 2 (1 AO2.3a, 1 AO2.3b) \n\u2022 B1 for N + 2 (without a subject). \n\u2022 Condone for B1 a correct word formula.", + "text": "9\u202f(a) \nAnswer: 2 \nMarks: 2 \n\u2022 B1 for 2 correct \n\nPrism | Number of faces | Number of edges | Number of vertices | \n--------------------|-----------------|-----------------|-------------------- \nTriangular (3\u202fsides) | 5 | 9 | 6 (1\u202fAO1.1) \nRectangular (4\u202fsides) | 6 | 12 | 8 (1\u202fAO2.1a) \nPentagonal (5\u202fsides) | 7 | 15 | 10 \nHexagonal (6\u202fsides) | 8 | 18 | 12 \n\n9\u202f(b) \nAnswer: 300\u202f(edges), 200\u202f(vertices) \nMarks: 1 + 1 (2\u202fAO2.1a) \n\n9\u202f(c) \nAnswer: F\u202f=\u202fN\u202f+\u202f2\u202foe \nMarks: 2 (1\u202fAO2.3a, 1\u202fAO2.3b) \n\u2022 B1 for N\u202f+\u202f2 (without a subject) \n\u2022 Condone for B1 a correct word formula", "num-marks": 6, "pages": [ 6, 7 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "10": { - "text": "10 (a) (i) \nAnswer: Positive correlation \nMarks: 1 (1 AO1.1) \nGuidance: \n\u2022 Condone \u201cpositive\u201d or correct description (e.g. \u201cAs the temperature increases, more ice creams are sold\u201d).\n\n(a) (ii) \nAnswer: Correct reason, e.g. \u201cHe sold far more ice creams than you would expect him to for a 20\u00b0C day.\u201d \nMarks: 1 (1 AO2.3a)\n\n(b) (i) \nAnswer: 75\u201395 \nMarks: 1 (1 AO1.3a)\n\n(b) (ii) \nAnswer: 140\u2013170 \nMarks: 1 (1 AO1.3a)\n\n(b) (iii) \nAnswer: The (b)(i) prediction is more reliable, as it is within the range of the given data. \nMarks: 2 (1 AO2.1b, 1 AO2.4a) \nGuidance: \n\u2022 B1 for (b)(i) prediction identified with partial reason.\n\n(c) \nAnswer: No, because there may be other factors involved. \nMarks: 2 (1 AO2.5a, 1 AO3.4b) \nGuidance: \n\u2022 B1 for \u201cNo\u201d, with partial reason.", + "text": "10\u202f(a) \n (i) Answer: Positive correlation \n Marks: 1 \n AO: 1\u202fAO1.1 \n Guidance: \n \u2022 Condone \u201cpositive\u201d or correct description \n (e.g. \u201cAs the temperature increases, more ice creams are sold.\u201d) \n\n (ii) Answer: Correct reason, e.g. \n \u201cHe sold far more ice creams than you would expect him to for a 20\u202f\u00b0C day.\u201d \n Marks: 1 \n AO: 1\u202fAO2.3a \n\n(b) \n (i) Answer: 75\u202f\u2013\u202f95 \n Marks: 1 \n AO: 1\u202fAO1.3a \n\n (ii) Answer: 140\u202f\u2013\u202f170 \n Marks: 1 \n AO: 1\u202fAO1.3a \n\n (iii) Answer: The (b)(i) prediction is more reliable, as it is within the range of the given data \n Marks: 2 \n AO: 1\u202fAO2.1b, 1\u202fAO2.4a \n Guidance: \n \u2022 B1 for (b)(i) prediction identified with partial reason \n\n(c) \n Answer: No, because there may be other factors involved \n Marks: 2 \n AO: 1\u202fAO2.5a, 1\u202fAO3.4b \n Guidance: \n \u2022 B1 for \u201cNo\u201d with partial reason", "num-marks": 8, "pages": [ 7 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "11": { - "text": "11\u202f(a) \nAnswer: 45\u202f000 \nMarks: 2 (2\u202fAO1.3a) \n \n\u2022 M1 for 50\u202f000\u202f\u00d7\u202f0.9\u202fsoi, or 50\u202f000\u202f\u2212\u202f5000 \n\n11\u202f(b) \nAnswer: Total value of goods sold in May was \u00a332\u202f805, which is less than \u00a335\u202f000 \nMarks: 3 (3\u202fAO2.2) \n \n\u2022 M2 for 50\u202f000 (or 45\u202f000)\u202f\u00d7\u202f0.9 used three times (or two times) soi or decreasing by 10% three times \n (implied by 36\u202f450 and 32\u202f805) \n OR \n\u2022 M1 for 45\u202f000\u202f\u00d7\u202f0.9 or 45\u202f000\u202f\u2212\u202f4500 \n (implied by 40\u202f500) \n\n11\u202f(c) \nAnswer: 8[%] with correct working \nMarks: 5 (3\u202fAO1.3b, 2\u202fAO3.1d) \n \n\u2022 B4 for answer 108[%] or 1.08 or [0].08 with correct working \n OR \n\u2022 M3 for 1.2\u202f\u00d7\u202f[0].9\u202foe \n or for (100\u202f000\u202f\u00d7\u202f1.2\u202f\u00d7\u202f[0].9\u202f\u2212\u202f100\u202f000)\u202f/\u202f100\u202f000 \n OR \n\u2022 M2 for 1.2 and [0].9 \n OR \n\u2022 M1 for 1.2 or [0].9 \n\nIf 0 or 1 scored, instead award SC2 for answer 8[%] with no working or insufficient working. \nIf 0 scored, instead award SC1 for 108[%] or 1.08 or [0].08 with no working or insufficient working. \n\n\u201cCorrect working\u201d requires evidence of at least M3 or an alternative convincing approach. \n\nThroughout, percentage calculations may be performed in stages (e.g. 120% by adding 20%). \nExamples: \n\u2022 100\u202f000\u202f\u00d7\u202f1.2\u202f\u00d7\u202f[0].9 or 120\u202f000\u202f\u00d7\u202f[0].9 \n\u2022 100\u202f000\u202f\u00d7\u202f1.2 (implied by 120\u202f000)", + "text": "11 (a) 45\u202f000 \n\u20032 marks \n\u20032\u202fAO1.3a \n\u2003M1 for 50\u202f000 \u00d7 0.9 soi \n\u2003\u2003or 50\u202f000 \u2212 5000 \n\n(b) Total value of goods sold in May was \u00a332\u202f805, which is less than \u00a335\u202f000 \n\u20033 marks \n\u20033\u202fAO2.2 \n\u2003M2 for 50\u202f000 (or 45\u202f000) \u00d7 0.9 used three times (or two times) soi or decreasing by 10% three times \n\u2003Or \n\u2003M1 for 45\u202f000 \u00d7 0.9 or 45\u202f000 \u2212 4500 \n\u2003\u2003Implied by 36\u202f450 and 32\u202f805 \n\u2003\u2003Implied by 40\u202f500 \n\n(c) 8[%] with correct working \n\u20035 marks \n\u20033\u202fAO1.3b \n\u20032\u202fAO3.1d \n\u2003B4 for answer 108[%] or 1.08 or [0].08 with correct working \n\n\u2003or \n\n\u2003M3 for 1.2 \u00d7 [0].9 oe \n\u2003 or for \n\u2003 (100\u202f000 \u00d7 1.2 \u00d7 [0].9 \u2212 100\u202f000) / 100\u202f000 \n\n\u2003or \n\n\u2003M2 for 1.2 and [0].9 \n\n\u2003or \n\n\u2003M1 for 1.2 or [0].9 \n\n\u2003If 0 or 1 scored, instead award SC2 for answer 8[%] with no working or insufficient working \n\n\u2003If 0 scored, instead award SC1 for 108[%] or 1.08 or [0].08 with no working or insufficient working \n\n\u2003\u201cCorrect working\u201d requires evidence of at least M3 or alternative convincing approach \n\n\u2003Throughout, percentage calculations may be performed in stages, e.g. 120% by adding 20% \n\u2003e.g. 100\u202f000 \u00d7 1.2 \u00d7 [0].9 or 120\u202f000 \u00d7 [0].9 \n\u2003e.g. 100\u202f000 \u00d7 1.2 implied by 120\u202f000", "num-marks": 10, "pages": [ 7, 8 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "12": { - "text": "12\u202f(a) \nAnswer:\u202f6 (2\u202fmarks) \n\u2219 2\u202fAO1.3a \n \u2013 M1 for 3x\u202f=\u202f18 \n\n12\u202f(b) \nAnswer:\u202f\u20133,\u202f\u20135 (3\u202fmarks) \n\u2219 3\u202fAO1.3a \n \u2013 M2 for (x\u202f+\u202f3)(x\u202f+\u202f5) seen or implied in table \n or \n M1 for (x\u202f\u00b1\u202f3)(x\u202f\u00b1\u202f5) seen, or for a pair of factors giving two correct terms seen or implied in table \n \u2013 B1 for correct solutions, following through their quadratic factors", + "text": "12 (a) \nAnswer: 6 \nMarks: 2 (2 AO1.3a) \n\u2022 M1 for 3x = 18 \n\n12 (b) \nAnswer: \u20133, \u20135 \nMarks: 3 (3 AO1.3a) \n\u2022 M2 for (x + 3)(x + 5) seen or implied in table \n or \n\u2022 M1 for (x \u00b1 3)(x \u00b1 5) seen, or pair of factors giving two correct terms seen or implied in table \n and \n\u2022 B1 for correct solutions FT their quadratic factors", "num-marks": 5, "pages": [ 8, 9 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "13": { - "text": "13\u202f(a) \nAnswer: 24\u202fcm by\u202f16\u202fcm, 12\u202fcm by\u202f8\u202fcm \nMarks: 2 (1\u202fAO1.3a, 1\u202fAO3.1c) \n\n\u2023 B1 for each. \n\u2023 Answers may be indicated on the list in the question. \n\n13\u202f(b) \nAnswer: 50 \nMarks: 3 (1\u202fAO1.3b, 2\u202fAO3.1d) \n\n\u2023 M1 for 45/9 or 60/6. \n\u2023 M1 for their \u201c5\u201d \u00d7 their \u201c10\u201d. \n\u2023 SC2 for 42 or for area calculation leading to an incorrect answer.", + "text": "13 (a) \nAnswer: 24 cm by 16 cm or 12 cm by 8 cm \nMarks: 2 (1 AO1.3a, 1 AO3.1c) \n\u2022 B1 for each. \n\u2022 Answers may be indicated on the list in the question. \n\n13 (b) \nAnswer: 50 \nMarks: 3 (1 AO1.3b, 2 AO3.1d) \n\u2022 M1 for 45/9 or 60/6. \n\u2022 M1 for their \u201c5\u201d \u00d7 their \u201c10\u201d. \n\u2022 SC2 for 42 or for area calculation leading to incorrect answer.", "num-marks": 5, "pages": [ 9, 10 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "14": { - "text": "14 (a) \n[p = 5 , q = -5] \nMarks: 2 \n(1 AO1.2, 1 AO1.3a) \n\u2022 B1 for p = 5 \n\u2022 B1 for q = -5 \n\n14 (b) \nc = 3a \nd = a + b \ne = a \u2013 b \nMarks: 3 \n(3 AO1.3a) \n\u2022 B1 for each", + "text": "14 (a) \n[p =] 5 [q =] \u20135 \nMarks: 2 \n(1 AO1.2, 1 AO1.3a) \n\u2022 B1 for each \n\n14 (b) \nc = 3a \nd = a + b \ne = a \u2013 b \nMarks: 3 \n(3 AO1.3a) \n\u2022 B1 for each", "num-marks": 5, "pages": [ 10 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "15": { - "text": "15 (a) \nAnswer: 800 \nMarks: 2 (1 AO1.3b, 1 AO3.1c) \n\nPart marks and guidance: \n\u2022 M1 for unitary work, e.g. 1 person does 200 letters in 2 hours \n\n(b) \nAnswer: 30 minutes oe \nMarks: 4 (2 AO2.1a, 2 AO3.1d) \n\nPart marks and guidance: \n\u2022 M1 for 1 person does 100 letters in 1 hour \n\u2022 M1 for 5 people do 1000 letters in 2 hours \n\u2022 M1 for 4 people do 1000 letters in 2.5 hours \n\u2022 FT from their rate in (a) throughout \n\n(c) \nAnswer: \n\u2013 Correct comment on the reasonableness of her assumption \n (e.g. \u201cShe has assumed that \u2018all day\u2019 means \u2018for 24 hours\u2019, \n but it is not reasonable for them to work without a break.\u201d) \n\n\u2013 Correct comment on the effect it will have on the answer \n (e.g. \u201cThey can\u2019t work at that rate for that long, \n so her answer is an over-estimate.\u201d) \n\nMarks: 2 (1 AO3.4a, 1 AO3.5) \nPart marks and guidance: \n\u2022 B1 for each", + "text": "15\u202f(a) \nAnswer: 800 \nMarks: 2 (1\u202fAO1.3b,\u202f1\u202fAO3.1c) \n\u2022 M1 for unitary work, for example \u201c1 person does 200 letters in 2\u202fhours.\u201d\n\n15\u202f(b) \nAnswer: 30\u202fminutes\u202f(oe) \nMarks: 4 (2\u202fAO2.1a,\u202f2\u202fAO3.1d) \n\u2022 M1 for \u201c1\u202fperson does 100\u202fletters in 1\u202fhour.\u201d \n\u2022 M1 for \u201c5\u202fpeople do 1000\u202fletters in 2\u202fhours.\u201d \n\u2022 M1 for \u201c4\u202fpeople do 1000\u202fletters in 2.5\u202fhours.\u201d \n\u2022 FT from their rate in (a) throughout.\n\n15\u202f(c) \nMarks: 2 (1\u202fAO3.4a,\u202f1\u202fAO3.5) \n\u2022 B1 for a correct comment on the assumption\u2019s reasonableness, e.g. \n \u201cShe has assumed that \u2018all day\u2019 means \u2018for 24\u202fhours\u2019, but it is not reasonable for them to work without a break.\u201d \n\u2022 B1 for a correct comment on the effect it has on the answer, e.g. \n \u201cThey can\u2019t work at that rate for that long, so her answer is an over-estimate.\u201d", "num-marks": 8, "pages": [ 10, 11 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "16": { - "text": "16 (a) Outcomes not equally likely (oe) \n \u2022 1 mark \n \u2022 1 AO3.4b \n\n(b) Larger number of trials \n \u2022 1 mark \n \u2022 1 AO3.4a \n\n(c) 0.09 \u2013 0.16 \n \u2022 2 marks \n \u2022 1 AO1.3a \n \u2022 1 AO2.1b \n \u2022 M1 for (48/150)\u00b2 or 0.35\u00b2 or any reasonable estimate (FT their (b))", + "text": "16 (a) \nOutcomes not equally likely (oe) \n\u2022 1 mark \n\u2022 1 AO3.4b \n\n16 (b) \nLarger number of trials \n\u2022 1 mark \n\u2022 1 AO3.4a \n\n16 (c) \nAnswer: 0.09 \u2013 0.16 \n\u2022 2 marks \n\u2022 1 AO1.3a, 1 AO2.1b \n\nM1 for (48/150)\u00b2 or 0.35\u00b2 or any reasonable estimate (FT their (b))", "num-marks": 4, "pages": [ 11 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "17": { - "text": "17\u202f(a) \nAnswer: 10,\u202f16,\u202f26 \nMarks: 1 \n\u2022 1\u202fAO1.3a \n\n17\u202f(b) \nAnswer: 8,\u202f13,\u202f21 \nMarks: 2 \n\u2022 1\u202fAO1.3a \n\u2022 1\u202fAO3.1a \n M1 for one correct subtraction of two boxes \n\n17\u202f(c) \nAnswer: a + b, a + 2b, 2a + 3b \nMarks: 2 \n\u2022 2\u202fAO1.3a \n M1 for two expressions correct \n\n17\u202f(d) \nAnswer: 15,\u202f21,\u202f36 \nMarks: 3 \n\u2022 1\u202fAO1.3a \n\u2022 2\u202fAO2.1a \n M1 for their \u201c2a + 3b\u201d = 57 \n M1 for substituting a = 6 into their final expression and solving for b", + "text": "17 (a) \nAnswer: 10, 16, 26 \nMarks: 1 (1 AO1.3a) \n\n(b) \nAnswer: 8, 13, 21 \nMarks: 2 (1 AO1.3a, 1 AO3.1a) \n\u2022 M1 for one correct subtraction of two boxes \n\n(c) \nAnswer: a + b, a + 2b, 2a + 3b \nMarks: 2 (2 AO1.3a) \n\u2022 M1 for two expressions correct \n\n(d) \nAnswer: 15, 21, 36 \nMarks: 3 (1 AO1.3a, 2 AO2.1a) \n\u2022 M1 for their \u201c2a + 3b\u201d = 57 \n\u2022 M1 for substituting a = 6 into their final expression and solving for b", "num-marks": 8, "pages": [ 11 ], + "sub-questions": [ + "a", + "b", + "c", + "d" + ], "correctly_parsed": true }, "18": { - "text": "18 (a) \nAnswer: \n\u2022 The first error is in step 2: \u22123x \u2212 2x = \u22125x, not \u2212x as given \n\nMarks: 2 \n(2 AO2.5a) \n\nPart marks and guidance: \n\u2022 B1 for identifying step 2 \n\u2022 B1 for explaining the error \n\n(b) \nAnswer: \n[x\u00b2 + 4x + x + 4 = x\u00b2 \u2212 3x \u2212 2x + 6] \nx\u00b2 + 5x + 4 = x\u00b2 \u2212 5x + 6 \n5x + 4 = \u22125x + 6 \n10x + 4 = 6 \n10x = 2 \nx = 1/5 \n\nMarks: 2 \n(2 AO1.3a) \n\nPart marks and guidance: \n\u2022 M1 for an attempt to correct the solution in line with their answer to (a)", + "text": "18 (a) \nThe first error is in step 2 \n\u20133x \u2013 2x = \u20135x, not \u2013x as given \n2 marks (2 AO2.5a) \n\u2022 B1 for identifying step 2 \n\u2022 B1 for explaining the error \n\n(b) \n[x\u00b2 + 4x + x + 4 = x\u00b2 \u2013 3x \u2013 2x + 6] \nx\u00b2 + 5x + 4 = x\u00b2 \u2013 5x + 6 \n5x + 4 = \u20135x + 6 \n10x + 4 = 6 \n10x = 2 \nx = 1/5 \n\n2 marks (2 AO1.3a) \n\u2022 M1 for an attempt to correct the solution in line with their answer to (a)", "num-marks": 4, "pages": [ 11, 12 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "19": { - "text": "19 \nAnswer: 2a + 1 \nMarks: 4 \n(1 AO1.3b, 2 AO3.1b, 1 AO3.2)\n\n\u2022 M1 for a + 2 + 3a + 3 + 4a \u2013 1 \n\u2022 M1 for collecting terms \n\u2022 M1 for dividing their \u201c8a + 4\u201d by 4", + "text": "19 \nAnswer: 2a + 1 \nMarks: 4 \n\nMarking instructions: \n\u2022 1 AO1.3b \n\u2022 2 AO3.1b \n\u2022 1 AO3.2 \n\n\u2013 M1 for a + 2 + 3a + 3 + 4a \u2013 1 \n\u2013 M1 for collecting terms \n\u2013 M1 for dividing their \u20188a + 4\u2019 by 4", "num-marks": 4, "pages": [ 12 ], + "sub-questions": [], "correctly_parsed": true } } \ No newline at end of file diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" index f3b0deb93..25ce329c0 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" @@ -1,62 +1,134 @@ { - "1": [ + "1.a": [ 5 ], - "2": [ + "1.b": [ 5 ], - "3": [ + "2.a": [ + 5 + ], + "2.b": [ + 5 + ], + "3.a": [ + 5 + ], + "3.b": [ 5 ], "4": [ 5 ], - "5": [ + "5.a": [ 5 ], - "6": [ + "5.b": [ + 5 + ], + "5.c": [ + 5 + ], + "5.d": [ + 5 + ], + "6.a": [ + 6 + ], + "6.b": [ + 6 + ], + "7.a": [ + 6 + ], + "7.b": [ + 6 + ], + "8.a": [ 6 ], - "7": [ + "8.b": [ 6 ], - "8": [ + "9.a": [ 6 ], - "9": [ - 6, + "9.b": [ + 6 + ], + "9.c": [ + 7 + ], + "10.a": [ + 7 + ], + "10.b": [ 7 ], - "10": [ + "10.c": [ 7 ], - "11": [ - 7, + "11.a": [ + 7 + ], + "11.b": [ + 7 + ], + "11.c": [ 8 ], - "12": [ - 8, + "12.a": [ + 8 + ], + "12.b": [ 9 ], - "13": [ - 9, + "13.a": [ + 9 + ], + "13.b": [ + 10 + ], + "14.a": [ + 10 + ], + "14.b": [ + 10 + ], + "15.a": [ 10 ], - "14": [ + "15.b": [ 10 ], - "15": [ - 10, + "15.c": [ + 11 + ], + "16.a": [ + 11 + ], + "16.b": [ + 11 + ], + "16.c": [ + 11 + ], + "17.a": [ + 11 + ], + "17.b": [ + 11 + ], + "17.c": [ 11 ], - "16": [ + "17.d": [ 11 ], - "17": [ + "18.a": [ 11 ], - "18": [ - 11, + "18.b": [ 12 ], "19": [ diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" index ce698e753..d189fb775 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" @@ -1,166 +1,251 @@ { "1": { - "text": "1 (a) Work out: \n 4 \u00d7 2 \u2013 1 \n [1]\n\n (b) Find \u00bc of 16. \n [1]", + "text": "1\u202f(a)\u202fWork out:\n\n\u2003\u20034\u202f\u00d7\u202f2\u202f\u2013\u202f1\n\n\u2003(a)\u202f\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b)\u202fFind \u00bc of 16.\n\n\u2003(b)\u202f\u2026\u2026\u2026\u2026\u2026\u2026 [1]", "text-only": true, "pages": [ 2 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "2": { - "text": "2\u00a0\u00a0A tin contains four different types of sweet. \nA sweet is taken from the tin at random. \nThe table below shows some of the probabilities of taking each type of sweet:\n\n\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n\u2502 Sweet \u2502 Toffee\u2502 Fudge \u2502 Jelly \u2502 Mint \u2502\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n\u2502Probability\u2502 0.4 \u2502 0.2 \u2502 0.3 \u2502 \u2502\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n\n(a)\u00a0Complete the table.\u00a0[2]\n\n(b)\u00a0What is the probability that a toffee or a mint is taken from the tin?\u00a0[2]", + "text": "2\u202f\u202fA tin contains four different types of sweet. \nA sweet is taken from the tin at random. \nThe table below shows some of the probabilities of taking each type of sweet.\n\n\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n\u2502 Sweet \u2502 Toffee \u2502 Fudge \u2502 Jelly \u2502 Mint \u2502\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n\u2502 Probability \u2502 0.4 \u2502 0.2 \u2502 0.3 \u2502 \u2502\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n\n(a) Complete the table.\u202f\u202f[2]\n\n(b) What is the probability that a toffee or a mint is taken from the tin?\u202f\u202f[2]", "text-only": true, "pages": [ 2 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "3": { - "text": "3 Peter says: \n\"The sum of an odd number and an even number is even.\" \nThe example 3 + 4 = 7 shows that Peter is not correct. \n\nWrite an example to show that each of these statements is not correct:\n\n(a) The sum of two prime numbers is always odd. \n\n(b) Squaring a whole number always results in an even number.", + "text": "3 Peter says: \n\"The sum of an odd number and an even number is even.\" \n\nThe example 3 + 4 = 7 shows that Peter is not correct. \n\nWrite an example to show that each of these statements is not correct: \n\n(a) The sum of two prime numbers is always odd. [1] \n\n(b) Squaring a whole number always results in an even number. [1]", "text-only": true, "pages": [ 3 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "4": { - "text": "4 Charlie, Mo and Andrzej share a flat.\n\n\u2022 Charlie pays 25% of the rent. \n\u2022 Mo pays \u00bd of the rent. \n\u2022 Andrzej pays \u00a3450. \n\nHow much do they pay altogether for the rent?\n\n\u00a3 ......................... [4]", + "text": "4. Charlie, Mo and Andrzej share a flat.\n\n\u2022 Charlie pays 25% of the rent. \n\u2022 Mo pays \u00bd of the rent. \n\u2022 Andrzej pays \u00a3450.\n\nHow much do they pay altogether for the rent?", "text-only": true, "pages": [ 3 ], + "sub-questions": [], "correctly_parsed": true }, "5": { - "text": "5 The table below shows the number of tonnes of rice produced in a year in five countries:\n\n Country Rice produced (tonnes)\n ---------------------------------\n China 1.43 \u00d7 10\u2078\n India 9.9 \u00d7 10\u2077\n Vietnam 2.71 \u00d7 10\u2077\n Thailand 2.05 \u00d7 10\u2077\n Brazil 7.82 \u00d7 10\u2076\n\n(a) Which country produced the most rice? \n(a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) Write 2.71 \u00d7 10\u2077 as an ordinary number. \n(b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(c) One tonne is equal to 1000 kilograms. \n Change 7.82 \u00d7 10\u2076 tonnes to kilograms. \n Give your answer in standard form. \n(c) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 kg [2]\n\n(d) How many more tonnes of rice did India produce than Thailand? \n Give your answer in standard form. \n(d) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 tonnes [2]", + "text": "5) The table below shows the number of tonnes of rice produced in a year in five countries:\n\n Country | Rice produced (tonnes)\n -----------------------------------\n China | 1.43 \u00d7 10\u2078\n India | 9.9 \u00d7 10\u2077\n Vietnam | 2.71 \u00d7 10\u2077\n Thailand | 2.05 \u00d7 10\u2077\n Brazil | 7.82 \u00d7 10\u2076\n\n(a) Which country produced the most rice? [1]\n\n(b) Write 2.71 \u00d7 10\u2077 as an ordinary number. [1]\n\n(c) One tonne is equal to 1000 kilograms. \n Change 7.82 \u00d7 10\u2076 tonnes to kilograms. \n Give your answer in standard form. [2]\n\n(d) How many more tonnes of rice did India produce than Thailand? \n Give your answer in standard form. [2]", "text-only": true, "pages": [ 4 ], + "sub-questions": [ + "a", + "b", + "c", + "d" + ], "correctly_parsed": true }, "6": { - "text": "6 (a) A square has an area of 100\u202fcm\u00b2. \nFind its perimeter. \n(a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 cm [2] \n\n(b) The area of the parallelogram is three times the area of the triangle. \n\n Not to scale\n\n 8\u202fcm\n \u250c\u2500\u2500\n \u2502 \n \u2502 \n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n 6\u202fcm\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 \u2502\n \u2502 h \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n 18\u202fcm\n\nShow that the perpendicular height h of the parallelogram is 4\u202fcm. \n[4]", + "text": "6\u202f(a) A square has an area of 100\u202fcm\u00b2. \nFind its perimeter. \n\u202f\u202f\u202f\u202f\u202f\u202f\u202f\u202f\u202f\u202fcm\u202f\u202f[2] \n\n(b) The area of the parallelogram is three times the area of the triangle. \n\n 8\u202fcm\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n \u2502\n \u2502 \n 6\u202fcm\n \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n\n h\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n \u2502 \u2502\n \u2502 \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n 18\u202fcm\n\nShow that the perpendicular height h of the parallelogram is 4\u202fcm. [4]", "text-only": true, "pages": [ 5 ], - "correctly_parsed": true + "sub-questions": [ + "a", + "b" + ], + "correctly_parsed": true, + "images": [ + "page5.png" + ] }, "7": { - "text": "7 Here are six numbers:\n\n5\u20038\u20039\u200315\u200322\u200354\n\nFrom these numbers, find a number that is:\n\n(a) a multiple of two and a multiple of three, \n(a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) a factor of 30 and a factor of 40. \n(b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", + "text": "7 Here are six numbers:\n\n 5 8 9 15 22 54\n\nFrom these numbers, find a number that is\n\n(a) a multiple of two and a multiple of three, \n (a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) a factor of 30 and a factor of 40. \n (b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", "text-only": true, "pages": [ 6 ], - "correctly_parsed": true + "sub-questions": [ + "a", + "b" + ], + "correctly_parsed": true, + "images": [ + "page6.png" + ] }, "8": { - "text": "8 (a) The product of three numbers is 312. \n Two of the numbers are 3 and 13. \n What is the third number? \n\n(b) Find three different numbers that are each \n \u2022 a prime number \n \u2022 two less than a square number.", + "text": "8 (a) The product of three numbers is 312. \n Two of the numbers are 3 and 13. \n \n What is the third number? \n \n (a) ........................................ [3] \n \n (b) Find three different numbers that are each \n \u2022 a prime number \n \u2022 two less than a square number. \n \n (b) ................ ................ ................ [3]", "text-only": true, "pages": [ 6 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "9": { - "text": "9. These prisms have different shapes as end faces:\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 Shape of end face \u2502 Number of faces (F) \u2502 Number of edges \u2502 Number of vertices \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Triangle (3 sides) \u2502 5 \u2502 9 \u2502 6 \u2502\n \u2502 Rectangle (4 sides) \u2502 \u2026 \u2502 \u2026 \u2502 8 \u2502\n \u2502 Pentagon (5 sides) \u2502 \u2026 \u2502 15 \u2502 10 \u2502\n \u2502 Hexagon (6 sides) \u2502 8 \u2502 18 \u2502 \u2026 \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n\n(a) Complete this table.\n\n(b) How many edges and vertices does a prism with a 100-sided end face have?\n \u2022 edges ______________________\n \u2022 vertices ___________________\n\n(c) F is the number of faces in a prism. \n N is the number of sides of its end face. \n Write down a formula connecting F and N.\n (c) _________________________________", + "text": "9\u202f\u202fThese prisms have different shapes as end faces.\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 Shape of end face \u2502 Number of faces \u2502 Number of edges \u2502 Number of vertices \u2502\n \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n \u2502 Triangle (3 sides) \u2502 5 \u2502 9 \u2502 6 \u2502\n \u2502 Rectangle (4 sides) \u2502 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u2502 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u2502 8 \u2502\n \u2502 Pentagon (5 sides) \u2502 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u2502 15 \u2502 10 \u2502\n \u2502 Hexagon (6 sides) \u2502 8 \u2502 18 \u2502 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n [2]\n\n(b) How many edges and vertices does a prism with a 100-sided end face have?\n\n (b) edges \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n vertices \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n [2]\n\n(c) F is the number of faces in a prism. \n N is the number of sides of its end face. \n\n Write down a formula connecting F and N.\n\n (c) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n [2]", "text-only": true, "pages": [ 7 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true, "images": [ "page7.png" ] }, "10": { - "text": "10 The graph shows the number of ice creams sold in a shop each day against the temperature at midday that day.\n\n(a) (i) Describe the relationship between the temperature at midday and the number of ice creams sold. \n [1]\n\n (ii) One data point is an outlier. \n Give a reason why this does not fit the rest of the data. \n [1]\n\n(b) Use the scatter graph to predict the number of ice creams sold on a day when the temperature at midday was \n (i) 22\u00b0C \n [1] \n (ii) 28\u00b0C \n [1] \n (iii) Explain which of these two predictions is more reliable. \n [2]\n\n(c) A newspaper headline reads: \n High temperatures make more people buy ice cream!\n\n Does the graph above prove this claim? \n Give a reason for your decision. \n [2]", + "text": "10\u202f\u202f\u202fThe graph shows the number of ice creams sold in a shop each day against the temperature at midday that day.\n\n(a) \n (i) Describe the relationship between the temperature at midday and the number of ice creams sold. [1]\n\n (ii) One data point is an outlier. \n Give a reason why this does not fit the rest of the data. [1]\n\n(b) Use the scatter graph to predict the number of ice creams sold on a day when the temperature at midday was \n (i) 22\u202f\u00b0C\u202f\u202f\u202f[1] \n (ii) 28\u202f\u00b0C\u202f\u202f\u202f[1] \n (iii) Explain which of these two predictions is more reliable. [2]\n\n(c) A newspaper headline reads: \n \u201cHigh temperatures make more people buy ice cream!\u201d\n\n Does the graph above prove this claim? \n Give a reason for your decision. [2]", "text-only": true, "pages": [ 8, 9 ], - "correctly_parsed": true, - "images": [ - "page8.png" - ] + "sub-questions": [ + "a", + "b", + "c" + ], + "correctly_parsed": true }, "11": { - "text": "11\u202f(a) A shop sold goods worth a total of \u00a350\u202f000 in January. \nThe value of goods sold in February was 10% lower than in January. \n\nCalculate the value of goods sold in February. \n(a) \u00a3 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2] \n\n(b) Each month, the value of goods sold continued to be 10% lower than the previous month. \nWhen the value of goods sold was less than \u00a335\u202f000, the shop closed at the end of that month. \n\nShow that the store closed at the end of May. \n[3] \n\n(c) The store reopens under new management and sells goods worth \u00a3100\u202f000 in the first month. \n\u2022 The value of goods sold in the second month is 20\u202f% more than the first month. \n\u2022 The value of goods sold in the third month is 10\u202f% less than the second month. \n\nFind the percentage increase in the total value of goods sold from the first month to the third month. You must show your working. \n(c) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u202f% [5]", + "text": "11\u202f(a) A shop sold goods worth a total of \u00a350\u202f000 in January. \nThe value of goods sold in February was 10% lower than in January. \n\nCalculate the value of goods sold in February.\n\n(a) \u00a3\u202f________________________ [2]\n\n(b) Each month, the value of goods sold continued to be 10% lower than the previous month. \nWhen the value of goods sold was less than \u00a335\u202f000, the shop closed at the end of that month. \n\nShow that the store closed at the end of May.\n\n[3]\n\n(c) The store reopens under new management and sells goods worth \u00a3100\u202f000 in the first month. \n\u2022\u202fThe value of goods sold in the second month is 20% more than the first month. \n\u2022\u202fThe value of goods sold in the third month is 10% less than the second month. \n\nFind the percentage increase in the total value of goods sold from the first month to the third month. You must show your working.\n\n(c)\u202f__________________________\u202f% [5]", "text-only": true, "pages": [ 10, 11 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "12": { - "text": "12 (a) Solve.\n\n5x = 2x + 18\n\n(a) x = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n(b) Solve by factorising.\n\nx\u00b2 + 8x + 15 = 0\n\n(b) x = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3]", + "text": "12\u202f(a)\u202fSolve:\n\n\u20035x = 2x + 18\n\n\u2003(a)\u202fx\u202f=\u202f__________\u202f[2]\n\n(b)\u202fSolve by factorising:\n\n\u2003x\u00b2 +\u202f8x\u202f+\u202f15\u202f=\u202f0\n\n\u2003(b)\u202fx\u202f=\u202f__________\u202f[3]", "text-only": true, "pages": [ 11 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "13": { - "text": "13 Eva\u2019s camera takes photos with width and height in the ratio 3 : 2. \nPhotos can be printed in the following sizes: \n\u2022 20 cm by 16 cm \n\u2022 14 cm by 10 cm \n\u2022 24 cm by 16 cm \n\u2022 12 cm by 8 cm \n\nEva says: \n\u201cOnly two of these sizes have the same ratio as my photos!\u201d \n\n(a) Which sizes have the same ratio as her photos? \n[2] \n\n(b) Eva has a display board measuring 45 cm by 60 cm. \nShe wants to display postcards, each measuring 9 cm by 6 cm. \nIf no postcards overlap, find the maximum number of postcards she can display on the board. \n[3]", + "text": "13 Eva\u2019s camera takes photos with width and height in the ratio 3 : 2.\n\nPhotos can be printed in the following sizes:\n\u2022 20\u202fcm by 16\u202fcm\n\u2022 14\u202fcm by 10\u202fcm\n\u2022 24\u202fcm by 16\u202fcm\n\u2022 12\u202fcm by 8\u202fcm\n\nEva says: \n\u201cOnly two of these sizes have the same ratio as my photos!\u201d\n\n(a) Which sizes have the same ratio as her photos? \n\n(b) Eva has a display board measuring 45\u202fcm by 60\u202fcm. She wants to display postcards, each measuring 9\u202fcm by 6\u202fcm. \nIf no postcards overlap, find the maximum number of postcards she can display on the board.", "text-only": true, "pages": [ 12 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "14": { - "text": "14 (a) Here is a coordinate grid.\n\nShape S is translated to Shape T using the vector \n\u23a1 p \u23a4 \n\u23a3 q \u23a6 \n\nWrite down the values of p and q.\n\n(a) p = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n q = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n(b) Vectors a, b, c, d, and e are drawn on an isometric grid.\n\nWrite each of the vectors c, d, and e in terms of a and/or b.\n\nc = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \nd = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \ne = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3]", + "text": "14\u202f(a) Here is a coordinate grid:\n\n[Image shows Shape\u202fS at approximately (2\u202fto\u202f3,\u202f5\u202fto\u202f8) and Shape\u202fT at approximately (6\u202fto\u202f7,\u202f1\u202fto\u202f4).]\n\nShape\u202fS is translated to Shape\u202fT using the vector \n ( p ) \n ( q ) \nWrite down the values of p and q.\n\n(a) \np = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \nq = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n(b) Vectors a, b, c, d, and e are drawn on an isometric grid:\n\n[Image shows vectors a, b, c, d, and e arranged on an isometric lattice.]\n\nWrite each of the vectors c, d, and e in terms of a and/or b.\n\nc = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \nd = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \ne = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3]", "text-only": true, "pages": [ 13 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true, "images": [ "page13.png" ] }, "15": { - "text": "15 Sam and two friends put letters in envelopes on Monday. \nThe three of them take two hours to put 600 letters in envelopes.\n\n(a) On Tuesday Sam has three friends helping. \nWorking at the same rate, how many letters should the four of them be able to put in envelopes in two hours? \n(a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n(b) Working at the same rate, how much longer would it take four people to put 1000 letters in envelopes than it would take five people? \n(b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [4]\n\n(c) Sam says: \n\u201cIt took two hours for three people to put 600 letters in envelopes. \nIf I assume they work all day, then in one day three people will put 7200 letters in envelopes because 600 \u00d7 12 = 7200.\u201d \n\nWhy is Sam\u2019s assumption not reasonable? \nWhat effect has Sam\u2019s assumption had on her answer? \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", + "text": "15) Sam and two friends put letters in envelopes on Monday. \nThe three of them take two hours to put 600 letters in envelopes.\n\n(a) On Tuesday Sam has three friends helping. \nWorking at the same rate, how many letters should the four of them be able to put in envelopes in two hours? \n[2]\n\n(b) Working at the same rate, how much longer would it take four people to put 1000 letters in envelopes than it would take five people? \n[4]\n\n(c) Sam says: \n\u201cIt took two hours for three people to put 600 letters in envelopes. \nIf I assume they work all day, then in one day three people will put 7200 letters in envelopes because 600 \u00d7 12 = 7200.\u201d \n\nWhy is Sam\u2019s assumption not reasonable? \nWhat effect has Sam\u2019s assumption had on her answer? \n[2]", "text-only": true, "pages": [ 14 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "16": { - "text": "16 Abi, Ben and Carl each drop a number of identical drawing pins, and count how many land with the pin upwards. The table shows some of their results:\n\n\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n\u2502 \u2502 Number landing \u2018pin up\u2019\u2502\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n\u2502 Abi: 10 \u2502 4 \u2502\n\u2502 Ben: 30 \u2502 9 \u2502\n\u2502 Carl: 100 \u2502 35 \u2502\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n\n(a) Abi says: \n\u201cAs a drawing pin can only land with its pin up or with its pin down, \nthe probability of a drawing pin landing \u2018pin up\u2019 is 1/2.\u201d \nCriticise her statement.\n\n(b) Carl\u2019s results give the best estimate of the probability of a drawing pin landing \u2018pin up\u2019. \nExplain why.\n\n(c) Two pins are dropped. \nEstimate the probability that both pins land \u2018pin up\u2019.", + "text": "16 Abi, Ben and Carl each drop a number of identical drawing pins, and count how many land with the pin upwards. The table shows some of their results:\n\n Number of pins dropped | Number landing \u2018pin up\u2019\n\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\u203e\n Abi 10 | 4\n Ben 30 | 9\n Carl 100 | 35\n\n(a) Abi says: \n\u201cAs a drawing pin can only land with its pin up or with its pin down, the probability of a drawing pin landing \u2018pin up\u2019 is \u00bd.\u201d \nCriticise her statement.\n\n(b) Carl\u2019s results give the best estimate of the probability of a drawing pin landing \u2018pin up\u2019. Explain why.\n\n(c) Two pins are dropped. Estimate the probability that both pins land \u2018pin up\u2019.", "text-only": true, "pages": [ 15 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "17": { - "text": "17\u202f\u202fIn this row of boxes, you start with 5 and 7.\n\n 5 7 \u25a0 \u25a0 \u25a0 \n\nYou add 5 and 7 to get 12 to go in the third box. \nYou add 7 and 12 to get 19 to go in the fourth box. \nYou add 12 and 19 to get 31 to go in the fifth box.\n\n 5 7 12 19 31 \n\nComplete these rows of boxes using the rule shown above.\n\n(a) \n 4 6 \u25a0 \u25a0 \n[1]\n\n(b) \n \u25a0 \u25a0 34 55 \n[2]\n\n(c)\u202f\u202fComplete this row of boxes, writing your expressions in their simplest form.\n\n a b \u25a0 \u25a0 \n[2]\n\n(d)\u202f\u202fUse your answer to (c) to help you fill in the missing numbers in this row of boxes.\n\n 6 \u25a0 \u25a0 57 \n[3]", + "text": "17\u202f\u202fIn this row of boxes, you start with 5 and 7.\n\n \u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2510 \n \u2502 5 \u2502 7 \u2502 \u2502 \u2502 \n \u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2518 \n\nYou add 5 and 7 to get 12 to go in the third box. \nYou add 7 and 12 to get 19 to go in the fourth box. \nYou add 12 and 19 to get 31 to go in the fifth box.\n\n 5 7 12 19 31 \n\nComplete these rows of boxes using the rule shown above.\n\n(a) \n 4 6 \n[1]\n\n(b) \n 34 55 \n[2]\n\n(c) Complete this row of boxes, writing your expressions in their simplest form.\n\n a b \n[2]\n\n(d) Use your answer to (c) to help you fill in the missing numbers in this row of boxes.\n\n 6 57 \n[3]", "text-only": true, "pages": [ 16, 17 ], - "correctly_parsed": true + "sub-questions": [ + "a", + "b", + "c", + "d" + ], + "correctly_parsed": true, + "images": [ + "page16.png" + ] }, "18": { - "text": "18 Amin is attempting to solve the following equation:\n\n(x + 1)(x + 4) = (x \u2013 2)(x \u2013 3)\n\nHis incorrect solution is shown below:\n\n(x + 1)(x + 4) = (x \u2013 2)(x \u2013 3) \nStep 1: x\u00b2 + 4x + x + 4 = x\u00b2 \u2013 3x \u2013 2x + 6 \nStep 2: x\u00b2 + 5x + 4 = x\u00b2 \u2013 x + 6 \nStep 3: 5x + 4 = \u2013x + 6 \nStep 4: 6x + 4 = 6 \nStep 5: 6x = 2 \nStep 6: x = 1/3 \n\n(a) Identify the step in which Amin made his first error and explain why this step is incorrect.\n\n(b) Write out a correct solution to the equation.", + "text": "18\u202fAmin is attempting to solve the following equation:\n\n(x + 1)(x + 4) = (x \u2013 2)(x \u2013 3)\n\nHis incorrect solution is shown below:\n\n(x + 1)(x + 4) = (x \u2013 2)(x \u2013 3)\n\nStep\u202f1: x\u00b2 +\u202f4x +\u202fx +\u202f4\u202f=\u202fx\u00b2\u202f\u2013\u202f3x\u202f\u2013\u202f2x\u202f+\u202f6 \nStep\u202f2: x\u00b2 +\u202f5x +\u202f4\u202f=\u202fx\u00b2\u202f\u2013\u202fx\u202f+\u202f6 \nStep\u202f3: 5x +\u202f4\u202f=\u202f\u2013x +\u202f6 \nStep\u202f4: 6x +\u202f4\u202f=\u202f6 \nStep\u202f5: 6x\u202f=\u202f2 \nStep\u202f6: x\u202f=\u202f1/3 \n\n(a)\u202fIdentify the step in which Amin made his first error and explain why this step is incorrect. \n(b)\u202fWrite out a correct solution to the equation.", "text-only": true, "pages": [ 18 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "19": { - "text": "19 The perimeter of the triangle is the same length as the perimeter of the square.\n\nThe sides of the triangle are 4a \u2212 1, a + 2 and 3a + 3.\n\nFind an expression for the length of one side of the square in terms of a. \nGive your answer in its simplest form.\n\n[4]", + "text": "19. The perimeter of the triangle is the same length as the perimeter of the square.\n\nThe triangle has sides (4a \u2212 1), (a + 2) and (3a + 3).\n\nFind an expression for the length of one side of the square in terms of a. \nGive your answer in its simplest form.\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [4]", "text-only": true, "pages": [ 19 ], + "sub-questions": [], "correctly_parsed": true, "images": [ "page19.png" diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" index 87d217092..94c1fb333 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_02_Paper_2_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" @@ -1,59 +1,134 @@ { - "1": [ + "1.a": [ 2 ], - "2": [ + "1.b": [ 2 ], - "3": [ + "2.a": [ + 2 + ], + "2.b": [ + 2 + ], + "3.a": [ + 3 + ], + "3.b": [ 3 ], "4": [ 3 ], - "5": [ + "5.a": [ + 4 + ], + "5.b": [ + 4 + ], + "5.c": [ + 4 + ], + "5.d": [ 4 ], - "6": [ + "6.a": [ 5 ], - "7": [ + "6.b": [ + 5 + ], + "7.a": [ + 6 + ], + "7.b": [ + 6 + ], + "8.a": [ 6 ], - "8": [ + "8.b": [ 6 ], - "9": [ + "9.a": [ 7 ], - "10": [ - 8, + "9.b": [ + 7 + ], + "9.c": [ + 7 + ], + "10.a": [ + 8 + ], + "10.b": [ 9 ], - "11": [ - 10, + "10.c": [ + 9 + ], + "11.a": [ + 10 + ], + "11.b": [ + 10 + ], + "11.c": [ 11 ], - "12": [ + "12.a": [ 11 ], - "13": [ + "12.b": [ + 11 + ], + "13.a": [ + 12 + ], + "13.b": [ 12 ], - "14": [ + "14.a": [ + 13 + ], + "14.b": [ 13 ], - "15": [ + "15.a": [ 14 ], - "16": [ + "15.b": [ + 14 + ], + "15.c": [ + 14 + ], + "16.a": [ + 15 + ], + "16.b": [ 15 ], - "17": [ - 16, + "16.c": [ + 15 + ], + "17.a": [ + 16 + ], + "17.b": [ + 16 + ], + "17.c": [ + 17 + ], + "17.d": [ 17 ], - "18": [ + "18.a": [ + 18 + ], + "18.b": [ 18 ], "19": [ diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" index 6e69e72d8..7fea93501 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/markscheme/parsed.json" @@ -1,156 +1,219 @@ { "1": { - "text": "1\u202f(a)\u202f(i) \nAnswer: 9 \nMarks: 1 \n(1\u202fAO1.3a)\n\n(ii) \nAnswer: 3 \nMarks: 1 \n(1\u202fAO1.3a)\n\n(iii) \nAnswer: 45 \nMarks: 1 \n(1\u202fAO1.3a)\n\n(b)\u202f(i) \nAnswer: 13 \nMarks: 2 \n(2\u202fAO1.3a) \nM1 for 12\u202f\u00d7\u202f4\u202f\u2212\u202f5\u202f\u00d7\u202f7 or better \n\n(ii) \nAnswer: r = (p + q) / 4 \nMarks: 2 \n(2\u202fAO1.3a) \nM1 for 4r = p + q \nAllow correct equivalents of (p + q)/4", + "text": "1\u202f(a)\u202f(i) \nAnswer:\u202f9 \nMarks:\u202f1 \nGuidance:\u202f1\u202fAO1.3a \n\n1\u202f(a)\u202f(ii) \nAnswer:\u202f3 \nMarks:\u202f1 \nGuidance:\u202f1\u202fAO1.3a \n\n1\u202f(a)\u202f(iii) \nAnswer:\u202f45 \nMarks:\u202f1 \nGuidance:\u202f1\u202fAO1.3a \n\n1\u202f(b)\u202f(i) \nAnswer:\u202f13 \nMarks:\u202f2 \nGuidance:\u202f2\u202fAO1.3a \nM1\u202ffor\u202f12\u202f\u00d7\u202f4\u202f\u2013\u202f5\u202f\u00d7\u202f7\u202for\u202fbetter \n\n1\u202f(b)\u202f(ii) \nAnswer:\u202fr\u202f=\u202f(p\u202f+\u202fq)/4 \nMarks:\u202f2 \nGuidance:\u202f2\u202fAO1.3a \nM1\u202ffor\u202f4r\u202f=\u202fp\u202f+\u202fq \nAllow\u202fcorrect\u202fequivalents\u202fof\u202f(p\u202f+\u202fq)/4", "num-marks": 7, "pages": [ 5 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "2": { - "text": "2 \nPie chart drawn with angles of 78\u00b0, 180\u00b0, 60\u00b0, 42\u00b0 (4 marks) \n\u2022 B1 for at least three of 13, 30, 10, 7 seen \n\u2022 AND B2 for two sectors correct or B1 for one sector correct \n\nCorrect labelling (1 mark)\n\n(1 AO1.3a, 1 AO2.3a, 3 AO2.3b)", + "text": "2 Pie chart drawn with angles of 78\u00b0, 180\u00b0, 60\u00b0, 42\u00b0 \n (4 marks) \n \u2022 B1 for at least three of 13, 30, 10, 7 seen \n AND \n \u2022 B2 for two sectors correct \n or B1 for one sector correct \n\n Correct labelling \n (1 mark) \n\n (1 AO1.3a, 1 AO2.3a, 3 AO2.3b)", "num-marks": 5, "pages": [ 5 ], + "sub-questions": [], "correctly_parsed": true }, "3": { - "text": "3(a) \nAnswer: 35\u202f000 \nMarks: 2 \n\u2022 1\u202fAO1.3a \n\u2022 1\u202fAO3.1c \n\nGuidance: \nM1 for 7000 \u00d7 5 (or equivalent). \n\n3(b) \nAnswer: No, following correct working and estimates \nMarks: 4 \n\u2022 1\u202fAO1.3a \n\u2022 1\u202fAO2.4a \n\u2022 1\u202fAO3.1d \n\u2022 1\u202fAO3.3 \n\nGuidance: \n\u2022 M2 for (their \u201835\u202f000\u2019 \u00d7 5) \u00f7 1000, or M1 for their \u201835\u202f000\u2019 \u00d7 5. \n\u2022 B1 for a valid estimate of the weight a person can carry (5\u202fkg\u201375\u202fkg). \n \u2013 Allow estimates for their \u201835\u202f000\u2019. \n \u2013 Example: 7000 \u00d7 5\u202fg = 35\u202f000\u202fg = 35\u202fkg. \n\u2022 \u201cNo\u201d may be implied by seeing the mass of coins and an estimate of carry weight. \n\u2022 Accept any valid alternate argument. \n\n3(c) \nAnswer: Valid comment about how a change in the assumption would influence their decision \nMarks: 1 \n\u2022 1\u202fAO3.5 \n\nGuidance: \nFollow through from part (b).", + "text": "3 (a) \nAnswer: 35\u202f000 \nMarks: 2 \nPart marks (and Assessment Objectives): \n\u2022 1 AO1.3a \n\u2022 1 AO3.1c \n\nGuidance: \nM1 for 7000 \u00d7 5 (or equivalent method). \n\n\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\n\n3 (b) \nAnswer: No, following correct working and estimates \nMarks: 4 \nPart marks (and Assessment Objectives): \n\u2022 1 AO1.3a \n\u2022 1 AO2.4a \n\u2022 1 AO3.1d \n\u2022 1 AO3.3 \n\nGuidance: \nM2 for (their \u201c35\u202f000\u201d \u00d7 5) / 1000 \n or \nM1 for their \u201c35\u202f000\u201d \u00d7 5 \n\nAND \n\nB1 for a valid estimate of weight a person can carry (5\u202fkg\u201375\u202fkg). \n\nAllow estimates for their \u201c35\u202f000\u201d. \n\n\u00a37000 of 5\u202fg coins weigh 175\u202fkg. \n\n\u201cNo\u201d may be implied by seeing the total mass of coins and comparing it with the estimate of carry weight. \n\nAccept any valid alternate argument. \n\n\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\u2013\n\n3 (c) \nAnswer: Valid comment about how a change in the assumption would influence their decision \nMarks: 1 \nPart marks (and Assessment Objectives): \n\u2022 1 AO3.5 \n\nGuidance: \nFT from part (b).", "num-marks": 7, "pages": [ 6 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "4": { - "text": "255 with correct working \nMarks: 6 (2 AO1.3a, 4 AO3.1d)\n\n\u2022 M1 for 6.5 [hours] \n\u2022 M2 for their \u20186.5\u2019 \u00d7 10 \u00d7 3 (or equivalent), \n or M1 for their \u20186.5\u2019 \u00d7 10, \n or M1 for their \u20186.5\u2019 \u00d7 3 \n\nAND \n\n\u2022 M1 for [\u00a3]15 \n\u2022 M1 for their \u201815\u2019 \u00d7 4 \n\nIf 0, 1 or 2 scored, instead award SC3 for answer 255 with no working or insufficient working. \n\nIf 0 or 1 scored, instead award SC2 for 195 or 60 with no working or insufficient working. \n\nIf 0 scored, instead award SC1 for 19.5 or 65 with no working or insufficient working. \n\n\u201cCorrect working\u201d requires evidence of at least M2 and M1.", + "text": "255 with correct working (6 marks) \n(2 AO1.3a, 4 AO3.1d)\n\nM1 for 6.5 [hours] \nM2 for their \u20186.5\u2019 \u00d7 10 \u00d7 3 oe \n\u2026or M1 for their \u20186.5\u2019 \u00d7 10 \n\u2026or their \u20186.5\u2019 \u00d7 3 \n\nAND \n\nM1 for [\u00a3]15 \nM1 for their \u201815\u2019 \u00d7 4 \n\nIf 0, 1 or 2 scored, instead award SC3 for answer 255 with no working or insufficient working. \n\nIf 0 or 1 scored, instead award SC2 for 195 or 60 with no working or insufficient working. \n\nIf 0 scored, instead award SC1 for 19.5 or 65 with no working or insufficient working. \n\n\u201cCorrect working\u201d requires evidence of at least M2 and M1.", "num-marks": 6, "pages": [ 7 ], + "sub-questions": [], "correctly_parsed": true }, "5": { - "text": "5 \nHe has assumed he can run 800 m at the same speed as he can run 100 m, \nbut he will run 800 m at a slower speed, therefore it will take him more than 120 s \n\nMarks: 3 \n(1 AO2.1a, 1 AO3.4a, 1 AO3.5) \n\n\u2022 B1 for correct reference to Darren\u2019s assumption \n (or 100/15 = 800/120 soi) \n\u2022 B1 for \u201chis speed will be slower over 800 m\u201d oe", + "text": "5 \nHe has assumed he can run 800 m at the same speed as he can run 100 m, \nbut he will run 800 m at a slower speed, therefore it will take him more than 120 s \n\nMarks: 3 \n(1 AO2.1a, 1 AO3.4a, 1 AO3.5) \n\n\u2022 B1 for correct reference to Darren\u2019s assumption (or 100/15 = 800/120 soi) \n\u2022 B1 for \u201chis speed will be slower over 800 m\u201d oe", "num-marks": 3, "pages": [ 7 ], + "sub-questions": [], "correctly_parsed": true }, "6": { - "text": "6 (a) 40 [1 mark] \n\u2022 1 AO1.3a\n\n6 (b) Correct reasoning leading to 36.9 [4 marks] \n\u2022 1 AO1.3b \n\u2022 2 AO2.2 \n\u2022 1 AO3.1b \n\n \u2013 M2 for \u03c0 \u00d7 12\u00b2 \n or M1 for (\u00bd \u00d7 \u03c0 \u00d7 12\u00b2) \n \u2013 AND M1 for their \u201c40\u201d \u2013 (\u03c0 \u00d7 12\u00b2)\n\n6 (c) 7.38 or better [3 marks] \n\u2022 1 AO1.3a \n\u2022 2 AO3.1b \n\n \u2013 M1 for 2 mm = 0.2 cm (soi) \n \u2013 M1 for 36.9 \u00d7 their \u201c0.2\u201d (oe)", + "text": "6 (a) \nAnswer: 40 \nMarks: 1 \n(1 AO1.3a)\n\n-------------------------------------------------------------------------------\n6 (b) \nAnswer: Correct reasoning leading to 36.9 \nMarks: 4 \n(1 AO1.3b, 2 AO2.2, 1 AO3.1b)\n\n\u2022 M2 for \u03c0 \u00d7 12\u00b2 \n (or M1 for \u00bd \u00d7 \u03c0 \u00d7 12\u00b2) \n AND \n\u2022 M1 for their \u201c40\u201d \u2212 \u03c0 \u00d7 12\u00b2\n\n-------------------------------------------------------------------------------\n6 (c) \nAnswer: 7.38 or better \nMarks: 3 \n(1 AO1.3a, 2 AO3.1b)\n\n\u2022 M1 for 2 mm = 0.2 cm (soi) \n\u2022 M1 for 36.9 \u00d7 their \u201c0.2\u201d (oe)", "num-marks": 8, "pages": [ 8 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "7": { - "text": "7 (a) 125 [1] \n1 AO1.2 \n\n(b) 20 with correct working [4] \n2 AO2.1a \n2 AO2.4a \n\nB1 for PAB = 45 \nB1 for BAD = 90 \nM1 for 360 \u2013 (their \u2018125\u2019 + their \u201890\u2019 + 125) \n\nIf 0 scored, instead award SC1 for answer 20 with no working or insufficient working \n\n\u201cCorrect working\u201d requires evidence of at least M1 \n\nAlternative method: \nB1 for PAB = 45 \nB1 for BAC = 45 \nM1 for 180 \u2013 their \u201845\u2019 \u2013 125", + "text": "7 (a) \nAnswer: 125 \nMarks: 1 \nPart marks: 1 AO1.2 \n\n(b) \nAnswer: 20 with correct working \nMarks: 4 \nPart marks: 2 AO2.1a, 2 AO2.4a \n\n\u2022 B1 for PAB = 45 \n\u2022 B1 for BAD = 90 \n\u2022 M1 for 360 \u2013 (their \u2018125\u2019 + their \u201890\u2019 + 125) \n\nIf 0 scored, instead award SC1 for answer 20 with no working or insufficient working. \n\u201cCorrect working\u201d requires evidence of at least M1 \n\nAlternative method: \n\u2022 B1 for PAB = 45 \n\u2022 B1 for BAC = 45 \n\u2022 M1 for 180 \u2013 (their 45 \u2013 125)", "num-marks": 5, "pages": [ 8 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "8": { - "text": "8\u202f(a) \nAnswer:\u202f21\u202f\u2212\u202f5/3\u202fis\u202fnot\u202fan\u202finteger \nMarks:\u202f2 \n(1\u202fAO1.3a,\u202f1\u202fAO2.4a) \n\nPart\u202fmarks\u202fand\u202fguidance: \n\u2022 M1\u202ffor\u202f21\u202f\u2212\u202f5/3 \n\u2022 or\u202ffor\u202f20\u202fand\u202f23\u202fseen", + "text": "8 (a) \nAnswer: 21 \u2013 5/3 is not an integer \nMarks: 2 \n\u2022 1 AO1.3a \n\u2022 1 AO2.4a \n\nMarking instructions: \n\u2022 M1 for (21 \u2013 5)/3 \n or for 20 and 23 seen", "num-marks": 2, "pages": [ 8 ], + "sub-questions": [ + "a" + ], "correctly_parsed": true }, "9": { - "text": "9 (a)(i) \n\u2022 ACB, BAC, BCA, CAB, CBA \nMarks: 2 (2 AO1.3a) \nB1 for at least three more ways of seating listed \n\n(ii) \n\u2022 2/3 (oe) \nMarks: 1 (1 AO2.1b) \nFT on answer to part (a)(i) \n\n(iii) \n\u2022 1/6 (oe) \nMarks: 1 (1 AO2.1b) \nFT on answer to part (a)(i)", + "text": "9 (a)(i) \nAnswer: ACB, BAC, BCA, CAB, CBA \nMarks: 2 (2 AO1.3a) \n\u2022 B1 for at least three more ways of seating listed \n\n(ii) \nAnswer: 2/3 (oe) \nMarks: 1 (1 AO2.1b) \n\u2022 FT on answer to part (a)(i) \n\n(iii) \nAnswer: 1/6 (oe) \nMarks: 1 (1 AO2.1b) \n\u2022 FT on answer to part (a)(i)", "num-marks": 4, "pages": [ - 9, - 10 + 9 + ], + "sub-questions": [ + "a", + "b" ], "correctly_parsed": true }, "10": { - "text": "10 (a) \nAnswer: 56 \nMarks: 1 \n1 AO1.3a \n\n10 (b) \nAnswer: 5 \nMarks: 1 \n1 AO1.3a \n\n10 (c) \nAnswer: 1/25 or 0.04 \nMarks: 1 \n1 AO1.3a", + "text": "10 (a) \nAnswer: 56 \nMarks: 1 \n(1 AO1.3a) \n\n10 (b) \nAnswer: 5 \nMarks: 1 \n(1 AO1.3a) \n\n10 (c) \nAnswer: 1/25 or 0.04 \nMarks: 1 \n(1 AO1.3a)", "num-marks": 3, "pages": [ 10 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "11": { - "text": "11 (a) \nExplanation, e.g. there should be 4 dp in the answer or the answer should be smaller than 0.38 (or 0.26) or because 0.4 \u00d7 0.3 = 0.12 \n\nMarks: 1 (1 AO2.5a) \n\nPart marks and guidance: \n\u2022 Clear sensible reason (not just giving the actual answer with no working or explanation). \n\u2022 Condone: \u201cmultiplying two decimals means a smaller number\u201d or equivalent. \n\n11 (b) \nExplanation, e.g. the answer should be bigger than 1 because both \u00be and 2/3 are bigger than \u00bd (or equivalent), or the answer should be bigger than \u00be but 5/7 is smaller than \u00be (or equivalent). \n\nMarks: 1 (1 AO2.5a) \n\nPart marks and guidance: \nExemplars for 1 mark: \n\u2022 \u201cyou don\u2019t add fractions by adding tops and bottoms\u201d \n\u2022 \u201cyou don\u2019t add the denominators\u201d \n\u2022 \u201cyou have to find a common denominator first\u201d \n\u2022 \u201c3/4 + 2/3 is obviously > 1\u201d", + "text": "11 (a) \n\u2022 1 mark (1 AO2.5a) \n\u2022 Explanation, for example: \n \u2013 \u201cThere should be 4 decimal places in the answer.\u201d \n \u2013 \u201cThe answer should be smaller than 0.38 (or 0.26).\u201d \n \u2013 \u201cBecause 0.4 \u00d7 0.3 = 0.12.\u201d \n\u2022 Clear sensible reason required (not just giving the actual answer with no working or explanation). \n\u2022 Condone: \u201cMultiplying two decimals means a smaller number,\u201d or equivalent. \n\n(b) \n\u2022 1 mark (1 AO2.5a) \n\u2022 Explanation, for example: \n \u2013 \u201cThe answer should be bigger than 1 because both 3/4 and 2/3 are bigger than 1/2.\u201d \n \u2013 \u201cThe answer should be bigger than 3/4, but 5/7 is smaller than 3/4.\u201d \n\u2022 Exemplars for 1 mark: \n \u2013 \u201cYou don\u2019t add fractions by adding tops and bottoms.\u201d \n \u2013 \u201cYou don\u2019t add the denominators.\u201d \n \u2013 \u201cYou have to find a common denominator first.\u201d \n \u2013 \u201c3/4 + 2/3 is obviously > 1.\u201d", "num-marks": 2, "pages": [ 10 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "12": { - "text": "Question 12 Markscheme\n\nAnswer:\n\u2022 Vertical axis is not consistent \n\u2022 The line does not represent the days when he doesn\u2019t use the internet \n\nMarks: 2 (2 AO2.5b) \n\nPart marks and guidance: \n\u2022 B1 for each valid comment", + "text": "Question 12 Mark Scheme\n\nAnswer:\n\u2022 Vertical axis is not consistent \n\u2022 The line does not represent the days when he doesn\u2019t use the internet \n\nMarks: 2 (2 AO2.5b)\n\nPart marks and guidance:\n\u2022 B1 for each valid comment", "num-marks": 2, "pages": [ 11 ], + "sub-questions": [], "correctly_parsed": true }, "13": { - "text": "13 (a) 22.5 \n 1 mark \n 1 AO1.3a \n\n (b) (i) 4.125 \u2264 y < 4.135 \n 2 marks \n 1 AO1.2 \n 1 AO1.3a \n B1 for either limit with correct inequality sign \n Condone using x instead of y \n\n (ii) 4650 \u2264 z < 4750 \n 2 marks \n 1 AO1.2 \n 1 AO1.3a \n B1 for either limit with correct inequality sign \n Condone using x instead of z", + "text": "Question 13\n\n(a) \nAnswer: 22.5 \nMarks: 1 \n\u2022 1 AO1.3a \n\n(b)(i) \nAnswer: 4.125 \u2264 y < 4.135 \nMarks: 2 \n\u2022 1 AO1.2 \n\u2022 1 AO1.3a \nGuidance: B1 for either limit with correct inequality sign. \nCondone using x instead of y \n\n(b)(ii) \nAnswer: 4650 \u2264 z < 4750 \nMarks: 2 \n\u2022 1 AO1.2 \n\u2022 1 AO1.3a \nGuidance: B1 for either limit with correct inequality sign. \nCondone using x instead of z", "num-marks": 5, "pages": [ 11 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "14": { - "text": "14 (a) \n\u2022 Answer: 8/50 or equivalent \n\u2022 Marks: 2 (1 AO2.3a, 1 AO3.1c) \n\u2022 Guidance: B1 for n/50 \n\n14 (b) \n\u2022 Answer: Any comment with valid reason \n\u2022 Marks: 1 (1 AO3.4b)", + "text": "14 (a) \nAnswer: 8/50 or equivalent (oe) \nMarks: 2 \nPart marks and guidance: \n\u2022 1 AO2.3a \n\u2022 1 AO3.1c \n\u2022 B1 for n/50 \n\n(b) \nAnswer: Any comment with valid reason \nMarks: 1 \nPart marks and guidance: \n\u2022 1 AO3.4b", "num-marks": 3, "pages": [ 11 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "15": { - "text": "15 (a) \n\u2022 Angles at B and D are right angles (1) \n\u2022 Angles ACB and ECD are vertically opposite (oe) (1) \n\u2022 Three equal angles (angle sum of a triangle), hence triangles are similar (oe) (1) \n\n(2 AO1.3b, 1 AO2.4a)\n\n(b) \n\u2022 10.5 (2) \n\n(2 AO1.3a, M1 for 3.5 \u00d7 3 oe)", + "text": "15 (a)\n\n\u2022 Angles at B and D are right angles (1) \n\u2022 Angles ACB and ECD are vertically opposite (oe) (1) \n\u2022 Three equal angles (angle sum of a triangle), hence triangles are similar (oe) (1) \n\nTotal marks for (a): 3 \n(2 AO1.3b, 1 AO2.4a) \n\n(b)\n\n\u2022 10.5 (2) \n\nAward M1 for 3.5 \u00d7 3 (oe) \n\nTotal marks for (b): 2 \n(2 AO1.3a)", "num-marks": 5, "pages": [ 11 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "16": { - "text": "Answer (264) with complete correct working, for example (3 + 1) \u00d7 6 \u00d7 11 \n[4 marks: 1 AO1.3a and 3 AO3.1a]\n\n\u2022 M3 for correct working but no final answer stated, e.g. (3 + 1) \u00d7 6 \u00d7 11, or if the working is poorly communicated but is still clear (for example (3 + 1) \u00d7 6 \u00d7 11 = 264), or for a number greater than 200 with complete correct working. \n\n\u2022 Or M2 for 264 with no (or incomplete) working, or for any acceptable number over 200 with poorly communicated working. \n\n\u2022 Or M1 for a number greater than 200 with no or incomplete working, or for (3 \u00d7 6) \u00d7 11 [\u00d7 1] (condoning any error in calculation), or for two trials leading to numbers below 200 (condone poor communication), or for an acceptable calculation where their answer is at least 200 but there is an error in evaluation. \n\nWorking correctly communicated in stages is acceptable for 4 marks, for example: \n3 + 1 = 4, then 4 \u00d7 6 = 24, then 24 \u00d7 11 = 264. \n\nA full written explanation is also acceptable. \n\nFor 1 or 2 marks, \u201cacceptable\u201d implies a number at least 200 that can be made.", + "text": "16. Correct answer (264) with complete correct working, for example: \n(3 + 1) \u00d7 6 \u00d7 11 \n\nMarks available: 4 \n(1 AO1.3a, 3 AO3.1a) \n\n\u2022 M3 for correct working but no final answer stated [(3 + 1) \u00d7 6 \u00d7 11] or the working is poorly communicated but is clear (for example, (3 + 1) \u00d7 6 \u00d7 11 = 264), or a number greater than 200 with complete correct working. \n\n\u2022 Or M2 for 264 with no (or incomplete) working, or for an acceptable number over 200 with poorly communicated working. \n\n\u2022 Or M1 for a number greater than 200 with no, or incomplete, working, or for (3 \u00d7 6) \u00d7 11 [\u00d7 1] (condoning any minor calculation error), or for two trials leading to numbers below 200 (condone poor communication), or any acceptable calculation where their result is at least 200 but there is an error in evaluation. \n\nWorking correctly communicated in stages is acceptable for 4 marks. For example: \n3 + 1 = 4 \n4 \u00d7 6 = 24 \n24 \u00d7 11 = 264 \n\nA full written explanation is also acceptable. \n\nFor 1 or 2 marks, \u201cacceptable\u201d implies a number (minimum 200) that can be made.", "num-marks": 4, "pages": [ 12 ], + "sub-questions": [], "correctly_parsed": true }, "17": { - "text": "17\u202f(a) \nAnswer: 20 \nMarks: 2 (1\u202fAO1.1, 1\u202fAO2.3a) \n\n\u2022 M1 for D = M / V (soi) \n \u2013 Can be implied by an answer of 2 \n\n17\u202f(b) \nAnswer: 8\u202f1/7 or 8.14[\u2026] \nMarks: 4 (2\u202fAO1.3b, 2\u202fAO3.1d) \n\n\u2022 M1 for 15 or 105 \u00f7 7 \nAND \n\u2022 M2 for (180 + 105) \u00f7 [their(20 + 15)] \n or 18 + 10.5 \n or their(2 + 1.5) \n\u2022 Or M1 for some attempt to find (total mass) \u00f7 (total volume)", + "text": "17 (a) \nAnswer: 20 \nMarks: 2 \n(1 AO1.1, 1 AO2.3a) \n\n\u2022 M1 for D = M / V (seen or implied) \n\u2022 Can be implied by an answer of 2 \n\n(b) \nAnswer: 8 1/7 or 8.14[\u2026] \nMarks: 4 \n(2 AO1.3b, 2 AO3.1d) \n\n\u2022 M1 for 15 or 105 \u00f7 7 \n\u2022 AND M2 for (180 + 105) / [their(20 + 15)] or (18 + 10.5) / [their(2 + 1.5)] \n\u2022 Or M1 for some attempt to find total mass / total volume", "num-marks": 6, "pages": [ 12, 13 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "18": { - "text": "18 (a)(i) \nAnswer: x > 3 \nMarks: 3 (3 AO1.3a) \nPart marks and guidance: \n\u2022 M1 for 4x soi \n\u2022 M1 for 12 soi \n\n18 (a)(ii) \nAnswer: 2 \nMarks: 1 (1 AO1.3a) \n\n18 (b) \nAnswer: [+]5 or -5 \nMarks: 2 (2 AO1.3a) \nPart marks and guidance: \n\u2022 M1 for x\u00b2 = 25 \n\u2022 If 0 scored, instead award SC1 for 5 seen as answer \n\n18 (c) \nAnswer: [x =] 2, [y =] -1 \nMarks: 3 (3 AO1.3b) \nPart marks and guidance: \n\u2022 M1 for eliminating one variable \n\u2022 M1 for correct substitution of their x or y", + "text": "18\u202f(a)\u202f(i) \nAnswer: x\u202f>\u202f3 \nMarks: 3 (3\u202fAO1.3a) \n\u2022 M1 for 4x (seen or implied) \n\u2022 M1 for 12 (seen or implied) \n\n18\u202f(a)\u202f(ii) \nAnswer: 2 \nMarks: 1 (1\u202fAO1.3a) \n\n18\u202f(b) \nAnswer: [+]5 or \u20135 \nMarks: 2 (2\u202fAO1.3a) \n\u2022 M1 for x\u00b2\u202f=\u202f25 \n\u2022 If 0 scored, award SC1 for \u201c5\u201d seen as the answer \n\n18\u202f(c) \nAnswer: x\u202f=\u202f2, y\u202f=\u202f\u20131 \nMarks: 3 (3\u202fAO1.3b) \n\u2022 M1 for eliminating one variable \n\u2022 M1 for correct substitution of their x or y", "num-marks": 9, "pages": [ 13 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "19": { - "text": "19\u202f(a) \n(Account)\u202fA\u202f(by)\u202f103[p]\u202fwith\u202fcorrect\u202fworking \n5\u202fmarks \n(3\u202fAO1.3b,\u202f1\u202fAO3.1d,\u202f1\u202fAO3.3) \n\n\u2022 M2 for [10\u202f000\u202f\u00d7]\u202f1.03\u00b3 implied by 10\u202f927.27 \n or M1 for 10\u202f300 and 10\u202f609 \n\nAND \n\n\u2022 M2 for [10\u202f000\u202f\u00d7]\u202f1.04\u202f\u00d7\u202f1.03\u202f\u00d7\u202f1.02 implied by 10\u202f926.24 \n or M1 for 10\u202f400 and 10\u202f712 \n\nIf 0,\u202f1\u202for\u202f2\u202fscored, instead award SC3 for A\u202f(by)\u202f103[p] with no working or insufficient working \n\n\u201cCorrect working\u201d requires evidence of at M2\u202fM2 \n(May be done in stages) \n\n\u202f \n19\u202f(b) \nHe may not want to leave it there for 3\u202fyears \n1\u202fmark \n(1\u202fAO2.3a) \n\nAccept any valid reason", + "text": "19 (a) \n(Account) A (by) 1.03\u00b3 with correct working \nMarks: 5 \n(3 AO1.3b, 1 AO3.1d, 1 AO3.3) \n\n\u2022 M2 for [10 000 \u00d7] 1.03\u00b3 implied by 10 927.27, or M1 for 10 300 and 10 609 \n\u2022 AND \n\u2022 M2 for [10 000 \u00d7] 1.04 \u00d7 1.03 \u00d7 1.02 implied by 10 926.24, or M1 for 10 400 and 10 712 \n\nIf 0, 1 or 2 scored, instead award SC3 for A (by) 1.03\u00b3 with no working or insufficient working \n\n\u201cCorrect working\u201d requires evidence of at least M2M2 \n(May be done in stages.) \n\n(b) \nHe may not want to leave it there for 3 years \nMarks: 1 \n(1 AO2.3a) \nAccept any valid reason", "num-marks": 6, "pages": [ 14 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true } } \ No newline at end of file diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" index cae4c8756..becaba92a 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/markscheme/question_to_pages.json" @@ -1,11 +1,20 @@ { - "1": [ + "1.a": [ + 5 + ], + "1.b": [ 5 ], "2": [ 5 ], - "3": [ + "3.a": [ + 6 + ], + "3.b": [ + 6 + ], + "3.c": [ 6 ], "4": [ @@ -14,48 +23,88 @@ "5": [ 7 ], - "6": [ + "6.a": [ + 8 + ], + "6.b": [ 8 ], - "7": [ + "6.c": [ 8 ], - "8": [ + "7.a": [ 8 ], - "9": [ - 9, + "7.b": [ + 8 + ], + "8.a": [ + 8 + ], + "9.a": [ + 9 + ], + "9.b": [ + 9 + ], + "10.a": [ + 10 + ], + "10.b": [ 10 ], - "10": [ + "10.c": [ 10 ], - "11": [ + "11.a": [ + 10 + ], + "11.b": [ 10 ], "12": [ 11 ], - "13": [ + "13.a": [ + 11 + ], + "13.b": [ + 11 + ], + "14.a": [ + 11 + ], + "14.b": [ 11 ], - "14": [ + "15.a": [ 11 ], - "15": [ + "15.b": [ 11 ], "16": [ 12 ], - "17": [ - 12, + "17.a": [ + 12 + ], + "17.b": [ + 13 + ], + "18.a": [ 13 ], - "18": [ + "18.b": [ 13 ], - "19": [ + "18.c": [ + 13 + ], + "19.a": [ + 14 + ], + "19.b": [ 14 ] } \ No newline at end of file diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" index 289fbfc77..7527b2516 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/paper/parsed.json" @@ -1,171 +1,233 @@ { "1": { - "text": "1 (a) Solve:\n\n (i) 2x = 18 \n (ii) x + 2 = 5 \n (iii) x/3 = 15 \n\n(b) (i) Find the value of t when g = 4 and h = 7. \n t = 12g \u2212 5h \n\n (ii) Rearrange to make r the subject: \n 4r \u2212 p = q", + "text": "1 (a) Solve:\n\n (i) 2x = 18 \n x = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n (ii) x + 2 = 5 \n x = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n (iii) x/3 = 15 \n x = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) (i) Find the value of t when g = 4 and h = 7. \n t = 12g \u2212 5h \n t = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n (ii) Rearrange 4r \u2212 p = q to make r the subject: \n \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", "text-only": true, "pages": [ 2 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "2": { - "text": "2) Cambury Council asked 60 customers what they thought of the local leisure centre. The results are shown below:\n\n\u2022 Excellent: 10 \n\u2022 Good: 30 \n\u2022 Could be improved: 12 \n\u2022 Not good enough: 8 \n\nDraw and label a pie chart to represent this data. [5]", - "text-only": false, + "text": "2 Cambury Council asked 60 customers what they thought of the local leisure centre. \n The results are shown in this bar chart:\n\n \u2022 Excellent: 15 customers\n \u2022 Good: 30 customers\n \u2022 Could be improved: 10 customers\n \u2022 Not good enough: 5 customers\n\nDraw and label a pie chart to represent this data. \n\n[5]", + "text-only": true, "pages": [ 3 ], - "correctly_parsed": true, - "images": [ - "page3.png" - ] + "sub-questions": [], + "correctly_parsed": true }, "3": { - "text": "3\u202f(a)\u202fHow many 20p coins would you need to make up \u00a37000? \n\u2003\u2003(a)\u202f\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u202f[2]\n\n(b)\u202fEach 20p coin weighs 5\u202fg. \n\n\u2003Lizzie says \n\u2003\u2003\u201cI can lift \u00a37000 worth of 20p coins.\u201d \n\n\u2003Is Lizzie\u2019s claim reasonable? \n\u2003Show your working and state any assumptions you have made. \n\n\u2003\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 because \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\u2003\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u202f[4]\n\n(c)\u202fHow have any assumptions you have made affected your answer to part\u202f(b)? \n\u2003\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u202f[1]", + "text": "3\u202f(a) How many 20p coins would you need to make up \u00a37000? \n[2]\n\n(b) Each 20p coin weighs 5\u202fg. \nLizzie says: \u201cI can lift \u00a37000 worth of 20p coins.\u201d \n\nIs Lizzie\u2019s claim reasonable? \nShow your working and state any assumptions you have made. \n[4]\n\n(c) How have any assumptions you have made affected your answer to part (b)? \n[1]", "text-only": true, "pages": [ 4 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "4": { - "text": "4) Antonio works Monday, Tuesday, and Wednesday.\n\n\u2022 He starts work at 4:00 pm and finishes at 10:30 pm. \n\u2022 Antonio is paid \u00a310 per hour on weekdays. \n\u2022 One week, he also works for 4 hours on Sunday. \n\u2022 He is paid 50% more on Sundays. \n\nHow much does Antonio earn altogether this week? \nYou must show your working.\n\n\u00a3 ____________________________ [6]", + "text": "4 Antonio works Monday, Tuesday, and Wednesday.\n\nHe starts work at 4.00 pm and finishes at 10.30 pm. \nAntonio is paid \u00a310 per hour on weekdays.\n\nOne week, he also works for 4 hours on Sunday. \nHe is paid 50% more on Sundays.\n\nHow much does Antonio earn altogether this week? \nYou must show your working.\n\n\u00a3 _________________________ [6]", "text-only": true, "pages": [ 5 ], + "sub-questions": [], "correctly_parsed": true }, "5": { - "text": "5 Darren says\n\n\u201cI can run 100 m in 15 seconds, so I should be able to run 800 m in 120 seconds.\u201d\n\nDo you think that he would take more or less than 120 seconds to run 800 m? \nExplain your answer, with reference to any assumptions Darren has made.\n\n\u2026\u2026\u2026\u2026\u2026 because \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3]", + "text": "5\u202fDarren says:\n\n\u201cI can run 100\u202fm in 15\u202fseconds, so I should be able to run 800\u202fm in 120\u202fseconds.\u201d\n\nDo you think that he would take more or less than 120\u202fseconds to run 800\u202fm? \nExplain your answer, with reference to any assumptions Darren has made.\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 because \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3]", "text-only": true, "pages": [ 5 ], + "sub-questions": [], "correctly_parsed": true }, "6": { - "text": "6 Jo makes a pendant from a rectangular piece of silver.\n\n 8 cm\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 \u2502\n \u2502 \u2502 (Not to scale)\n \u2502 \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n 5 cm\n\n(a) Work out the area of this rectangle.\n\n(a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 cm\u00b2 [1]\n\n(b) To complete the pendant, Jo cuts two semicircles of radius 1 cm from the rectangle, as shown below.\n\n 8 cm\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 __ \u2502\n \u2502 ( ) \u2502 (Not to scale)\n \u2502 \u203e\u203e \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n 5 cm\n\nShow that the shaded area is 36.9 cm\u00b2 correct to three significant figures. [4]\n\n(c) The silver Jo uses is 2 mm thick. \n Find the volume of silver in the pendant. \n Give your answer in cm\u00b3.\n\n(c) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 cm\u00b3 [3]", + "text": "6 Jo makes a pendant from a rectangular piece of silver.\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 8 cm \u2502\n \u2502 \u2502\n \u2502 5 cm \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n (Not to scale)\n\n(a) Work out the area of this rectangle.\n\n (a) __________________________ cm\u00b2 [1]\n\n(b) To complete the pendant, Jo cuts two semicircles of radius 1 cm from the rectangle, as shown below.\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n \u2502 __ \u2502\n \u2502 ( ) \u2502\n \u2502 \u203e\u203e \u2502 8 cm\n \u2502 \u2502\n \u2502 __ \u2502\n \u2502 ( ) \u2502\n \u2502 \u203e\u203e \u2502\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n 5 cm\n (Not to scale)\n\nShow that the shaded area is 36.9 cm\u00b2 correct to three significant figures. [4]\n\n(c) The silver Jo uses is 2 mm thick. \n Find the volume of silver in the pendant. \n Give your answer in cm\u00b3.\n\n (c) __________________________ cm\u00b3 [3]", "text-only": true, "pages": [ 6, 7 ], - "correctly_parsed": true, - "images": [ - "page6.png" - ] + "sub-questions": [ + "a", + "b", + "c" + ], + "correctly_parsed": true }, "7": { - "text": "7. PQRS is a rectangle. \n A, B, C, and D are points on SP, PQ, QR, and RS respectively. \n AC is the line of symmetry for the diagram. \n\n (a) Angle ABC = 125\u00b0. \n Write down the size of angle ADC. \n\n (b) AP is the same length as PB. \n Work out the size of angle BCD. \n You must show your working.", + "text": "7\u202f\u202f\u202fPQRS is a rectangle. \n\u202f\u202f\u202f\u202fA,\u202fB,\u202fC\u202fand\u202fD\u202fare\u202fpoints\u202fon\u202fSP,\u202fPQ,\u202fQR\u202fand\u202fRS\u202frespectively. \n\u202f\u202f\u202f\u202fAC\u202fis\u202fthe\u202fline\u202fof\u202fsymmetry\u202ffor\u202fthe\u202fdiagram. \n\n(a)\u202f\u202fAngle\u202fABC\u202f=\u202f125\u00b0. \n\u2003\u202f\u202fWrite\u202fdown\u202fthe\u202fsize\u202fof\u202fangle\u202fADC. \n\n\u2003(a)\u202f\u202fAngle\u202fADC\u202f=\u202f\u2026\u2026\u2026\u2026\u00b0\u202f\u202f[1] \n\n(b)\u202f\u202fAP\u202fis\u202fthe\u202fsame\u202flength\u202fas\u202fPB. \n\u2003\u202f\u202fWork\u202fout\u202fthe\u202fsize\u202fof\u202fangle\u202fBCD. \n\u2003\u202f\u202fYou\u202fmust\u202fshow\u202fyour\u202fworking. \n\n\u2003(b)\u202f\u202fAngle\u202fBCD\u202f=\u202f\u2026\u2026\u2026\u2026\u00b0\u202f\u202f[4]", "text-only": true, "pages": [ 8 ], - "correctly_parsed": true + "sub-questions": [ + "a", + "b" + ], + "correctly_parsed": true, + "images": [ + "page8.png" + ] }, "8": { - "text": "8\u202f(a) The n\u1d57\u02b0\u202fterm of a sequence is given by 3n\u202f+\u202f5. \nExplain why 21 is not a term in this sequence.\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\n[2]\n\n(b) Here are the first three terms in a sequence: \n1 2 4 \nThis sequence can be continued in different ways.\n\n (i) Find one rule for continuing the sequence and give the next two terms. \n Rule\u202f1:\u202f\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n Next two terms: \u2026\u2026\u2026\u2026\u2026\u2026 \u2026\u2026\u2026\u2026\u2026\u2026 \n [2]\n\n (ii) Find a second rule for continuing the sequence and give the next two terms. \n Rule\u202f2:\u202f\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n Next two terms: \u2026\u2026\u2026\u2026\u2026\u2026 \u2026\u2026\u2026\u2026\u2026\u2026 \n [2]", + "text": "8\u202f(a)\u202fThe nth term of a sequence is given by 3n\u202f+\u202f5. \nExplain why 21 is not a term in this sequence. \n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u202f[2] \n\n(b)\u202fHere are the first three terms in a sequence: \n1\u20032\u20034 \n\nThis sequence can be continued in different ways. \n\n(i)\u202fFind one rule for continuing the sequence and give the next two terms. \n\nRule\u202f1 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \nNext two terms \u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2] \n\n(ii)\u202fFind a second rule for continuing the sequence and give the next two terms. \n\nRule\u202f2 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \nNext two terms \u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", "text-only": true, "pages": [ 9 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "9": { - "text": "9\u202f\u202fThree friends, Ann\u202f(A), Bob\u202f(B) and Carol\u202f(C), go on holiday together.\n\n(a)\u2003They book a row of three seats on the plane. \n\u2003\u2003When they arrive at the plane they sit in a random order.\n\n\u2003(i)\u2003List all the different orders they could sit on the three seats. \n\u2003\u2003\u2003The first one has been done for you.\n\n\u2003\u2003\u2003Seat\u202f1\u2003Seat\u202f2\u2003Seat\u202f3 \n\u2003\u2003\u2003A\u2003 \u2003 B \u2003\u2003 C \n\u2003\u2003\u2003\u2003\u2003 \n\u2003\u2003\u2003\u2003\u2003 \n\u2003\u2003\u2003\u2003\u2003 \n\u2003\u2003\u2003\u2003\u2003 \n\u2003\u2003[2]\n\n\u2003(ii)\u2003What is the probability that Ann and Carol sit next to each other? \n\u2003\u2003(a)(ii) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n\u2003(iii)\u2003What is the probability that Bob sits in seat\u202f1 with Ann next to him? \n\u2003\u2003(a)(iii) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b)\u2003Ann, Bob and Carol have a total budget of \u00a3500 to rent a holiday apartment. \n\u2003\u2003The apartment normally costs \u00a350 per night, but they can get a 20% discount if they book early. \n\n\u2003Calculate how many extra nights they can stay in the apartment if they book early. \n\u2003You must show your working.\n\n\u2003(b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 nights [4]", + "text": "9 Three friends, Ann (A), Bob (B) and Carol (C), go on holiday together.\n\n(a) They book a row of three seats on the plane. \n When they arrive at the plane, they sit in a random order.\n\n (i) List all the different orders they could sit on the three seats. \n The first one has been done for you:\n\n Seat 1 | Seat 2 | Seat 3 \n A | B | C \n\n [2]\n\n (ii) What is the probability that Ann and Carol sit next to each other?\n\n (a)(ii) ........................................................ [1]\n\n (iii) What is the probability that Bob sits in seat 1 with Ann next to him?\n\n (iii) ......................................................... [1]\n\n(b) Ann, Bob and Carol have a total budget of \u00a3500 to rent a holiday apartment. \n The apartment normally costs \u00a350 per night, but they can get a 20% discount if they book early. \n\n Calculate how many extra nights they can stay in the apartment if they book early. \n You must show your working.\n\n (b) ............................................... nights [4]", "text-only": true, "pages": [ 10, 11 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "10": { - "text": "10 Calculate.\n\n(a) \u221a3136 \n (a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) \u2074\u221a625 \n (b) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(c) 5\u207b\u00b2 \n (c) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]", + "text": "10\u202fCalculate.\n\n(a) \u221a3136 \n\u2003(a)\u202f____________________ [1]\n\n(b) \u2074\u221a625 \n\u2003(b)\u202f____________________ [1]\n\n(c) 5\u207b\u00b2 \n\u2003(c)\u202f____________________ [1]", "text-only": true, "pages": [ 11 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "11": { - "text": "11 Ema has done some calculations.\n\nFor each calculation, explain how you know the answer is wrong without working out the correct answer.\n\n(a) 0.38 \u00d7 0.26 = 0.827\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) 3/4 + 2/3 = 5/7\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]", + "text": "11 Ema has done some calculations.\n\nFor each calculation, explain how you know the answer is wrong without working out the correct answer.\n\n(a) 0.38 \u00d7 0.26 = 0.827 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]\n\n(b) \u00be + \u2154 = 5/7 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]", "text-only": true, "pages": [ 12 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "12": { - "text": "12\u202f\u202fShinya\u2019s internet service provider gives him a graph of his internet usage in the first part of February:\n\n[The graph\u2019s vertical axis is labeled \u201cInternet usage (Gigabytes downloaded)\u201d from 0 to 14, and the horizontal axis is labeled \u201cDays in February\u201d from 0 to 15. A broken-line plot shows daily usage data for days 1 through 15.]\n\nState two reasons why this graph is misleading.\n\n1\u202f\u202f\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026.\n\n2\u202f\u202f\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026. [2]", + "text": "12\u202f\u202fShinya\u2019s internet service provider gives him a graph of his internet usage in the first part of February:\n\n(The horizontal axis is labeled \u201cDays in February\u201d from 0 to 15. The vertical axis is labeled \u201cInternet usage (Gigabytes downloaded)\u201d from 0 to 14, with data points plotted for each day.)\n\nState two reasons why this graph is misleading.\n\n1) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\n\n2) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\n\n[2]", "text-only": true, "pages": [ 12 ], + "sub-questions": [], "correctly_parsed": true, "images": [ "page12.png" ] }, "13": { - "text": "13 (a) Mia cycled 23 km, correct to the nearest km. \nWhat is the least distance Mia could have cycled?\n\n(a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 km [1]\n\n(b) A number x, rounded to one decimal place, is 4.7. \n So the error interval for x is given by 4.65 \u2264 x < 4.75.\n\n (i) A number y, rounded to two decimal places, is 4.13. \n Write down the error interval for y.\n\n (b)(i) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n (ii) A number z, rounded to two significant figures, is 4700. \n Write down the error interval for z.\n\n (b)(ii) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", + "text": "13 (a) Mia cycled 23 km, correct to the nearest km. \nWhat is the least distance Mia could have cycled?\n\n(a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 km [1]\n\n(b) A number x, rounded to one decimal place, is 4.7. \n So the error interval for x is given by 4.65 \u2264 x < 4.75.\n\n (i) A number y, rounded to two decimal places, is 4.13. \n Write down the error interval for y.\n\n (b)(i) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n (ii) A number z, rounded to two significant figures, is 4700. \n Write down the error interval for z.\n\n (b)(ii) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]", "text-only": true, "pages": [ 13 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "14": { - "text": "14\u202f\u202fThis frequency diagram summarises the number of minutes Astrid\u2019s train was late over the last 50 days.\n\n \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 Frequency (0 to 20)\n \u2502 (Bar chart with Minutes late on the x-axis from 1 to 4)\n \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n\n(a) Use information from this diagram to estimate the probability that her train will be \n 4 minutes late tomorrow. \n \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n(b) Explain whether your answer to part (a) gives a reliable probability. \n \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]", + "text": "14\u202f\u202fThis frequency diagram summarises the number of minutes Astrid\u2019s train was late over the last 50 days.\n\n(Frequency diagram with vertical axis from 0 to 20, horizontal axis for Minutes late from 1 to 4)\n\n(a) Use information from this diagram to estimate the probability that her train will be 4 minutes late tomorrow. \n(a) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2]\n\n(b) Explain whether your answer to part (a) gives a reliable probability. \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]", "text-only": true, "pages": [ 14 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true, "images": [ "page14.png" ] }, "15": { - "text": "15\u202f\u202fIn the diagram below (not to scale), AE and BD are straight lines, with right angles at B and D:\n\n A\n \\\n \\\n (right angle)\n B\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500C\n \\\n \\\n (right angle)\n D\n \\\n E\n\n(a) Show that triangles ABC and EDC are similar. [3]\n\n(b) The length DE is 3.5\u202fm. \n The ratio BC\u202f:\u202fCD = 3\u202f:\u202f1. \n Find the length AB. [2]", + "text": "15\u202f\u202fIn the diagram below, AE and BD are straight lines. (Diagram not to scale, with right angles at B and at D.)\n\n(a) Show that triangles ABC and EDC are similar. \n[3]\n\n(b) The length DE is 3.5\u202fm. \n\u2003\u2003The ratio BC\u202f:\u202fCD = 3\u202f:\u202f1. \n\u2003\u2003Find the length AB. \n[2]", "text-only": true, "pages": [ 15 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true, "images": [ "page15.png" ] }, "16": { - "text": "16 Leo is using these numbers to make a new number:\n\n 11 1 3 6\n\n\u2022 He can use brackets, +, \u2212, \u00d7 and \u00f7 as often as he wishes. \n\u2022 He cannot use any number more than once. \n\u2022 He cannot use powers. \n\u2022 He cannot put numbers together, e.g. he can\u2019t use 136.\n\nWhat is the biggest number he can make? \nShow how he can make this number. \n\n[4]", + "text": "16. Leo is using these numbers to make a new number:\n\n\u2022 11 \n\u2022 1 \n\u2022 3 \n\u2022 6 \n\nHe can use brackets, +, \u2212, \u00d7 and \u00f7 as often as he wishes. \nHe cannot use any number more than once. \nHe cannot use powers. \nHe cannot put numbers together (for example, he can\u2019t use 136). \n\nWhat is the biggest number he can make? \nShow how he can make this number.\n\n[4]", "text-only": true, "pages": [ 16 ], + "sub-questions": [], "correctly_parsed": true }, "17": { - "text": "17\u202f\u202f180\u202fg of copper is mixed with 105\u202fg of zinc to make an alloy.\n\nThe density of copper is 9\u202fg/cm\u00b3. \nThe density of zinc is 7\u202fg/cm\u00b3.\n\n(a)\u202fWork out the volume of copper used in the alloy.\n\n(a)\u202f\u2026\u2026\u2026\u2026\u2026\u2026\u202fcm\u00b3\u202f\u202f[2]\n\n(b)\u202fWhat is the density of the alloy?\n\n(b)\u202f\u2026\u2026\u2026\u2026\u2026\u2026\u202fg/cm\u00b3\u202f[4]", + "text": "17) 180 g of copper is mixed with 105 g of zinc to make an alloy.\n\n The density of copper is 9 g/cm\u00b3.\n The density of zinc is 7 g/cm\u00b3.\n\n(a) Work out the volume of copper used in the alloy. \n \u2026\u2026\u2026\u2026\u2026\u2026\u2026 cm\u00b3 [2]\n\n(b) What is the density of the alloy? \n \u2026\u2026\u2026\u2026\u2026\u2026\u2026 g/cm\u00b3 [4]", "text-only": true, "pages": [ 17 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true }, "18": { - "text": "18 (a) (i) Solve 5x + 1 > x + 13. \n\u2003\u2003[3] \n\u2003(ii) Write down the largest integer that satisfies 5x \u2013 1 < 10. \n\u2003\u2003[1]\n\n(b) Solve 3x\u00b2 = 75. \n\u2003\u2003[2]\n\n(c) Solve the system of equations: \n\u20034x + 3y = 5 \n\u20032x + 3y = 1 \n\u2003\u2003[3]", + "text": "18 (a) (i) Solve: \n5x + 1 > x + 13 \n(a)(i) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3] \n\n(ii) Write down the largest integer that satisfies 5x \u2013 1 < 10. \n(a)(ii) \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1] \n\n(b) Solve: \n3x\u00b2 = 75 \n(b) x = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [2] \n\n(c) Solve: \n4x + 3y = 5 \n2x + 3y = 1 \n(c) x = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n y = \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [3]", "text-only": true, "pages": [ 18 ], + "sub-questions": [ + "a", + "b", + "c" + ], "correctly_parsed": true }, "19": { - "text": "19 Here are the interest rates for two accounts:\n\nAccount A \nInterest: 3% per year compound interest. \nNo withdrawals until the end of three years.\n\nAccount B \nInterest: \n\u2022 4% for the first year, \n\u2022 3% for the second year, \n\u2022 2% for the third year. \nWithdrawals allowed at any time.\n\nDerrick has \u00a310\u202f000 he wants to invest.\n\n(a) Calculate which account would give him most money if he invests his money for 3 years. \nGive the difference in the interest to the nearest penny. \nYou must show your working.\n\n(a) Account \u2026\u2026\u2026\u2026\u2026\u2026 by \u2026\u2026\u2026\u2026\u2026\u2026 p [5]\n\n(b) Explain why he might not want to use Account A. \n\n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]", + "text": "19. Here are the interest rates for two accounts:\n\nAccount A \n\u2022 Interest: 3% per year compound interest \n\u2022 No withdrawals until the end of three years \n\nAccount B \n\u2022 Interest: 4% for the first year, 3% for the second year, and 2% for the third year \n\u2022 Withdrawals allowed at any time \n\nDerrick has \u00a310\u202f000 he wants to invest.\n\n(a) Calculate which account would give him most money if he invests his money for 3 years. \nGive the difference in the interest to the nearest penny. \nYou must show your working.\n\n(a) Account \u2026\u2026\u2026\u2026\u2026\u2026 by \u2026\u2026\u2026\u2026\u2026\u2026 p [5]\n\n(b) Explain why he might not want to use Account A. \n\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026 [1]", "text-only": true, "pages": [ 19 ], + "sub-questions": [ + "a", + "b" + ], "correctly_parsed": true } -} +} \ No newline at end of file diff --git "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" index e50929c5e..278bcd48a 100644 --- "a/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" +++ "b/interfaces/ai_tutor/pdfs/GCSE_(9\342\200\2231)_Mathematics/J560_03_Paper_3_(Foundation_Tier)_Sample_Question_Paper/paper/question_to_pages.json" @@ -1,11 +1,20 @@ { - "1": [ + "1.a": [ + 2 + ], + "1.b": [ 2 ], "2": [ 3 ], - "3": [ + "3.a": [ + 4 + ], + "3.b": [ + 4 + ], + "3.c": [ 4 ], "4": [ @@ -14,48 +23,91 @@ "5": [ 5 ], - "6": [ - 6, + "6.a": [ + 6 + ], + "6.b": [ + 6 + ], + "6.c": [ 7 ], - "7": [ + "7.a": [ 8 ], - "8": [ + "7.b": [ + 8 + ], + "8.a": [ + 9 + ], + "8.b": [ 9 ], - "9": [ - 10, + "9.a": [ + 10 + ], + "9.b": [ + 11 + ], + "10.a": [ + 11 + ], + "10.b": [ 11 ], - "10": [ + "10.c": [ 11 ], - "11": [ + "11.a": [ + 12 + ], + "11.b": [ 12 ], "12": [ 12 ], - "13": [ + "13.a": [ + 13 + ], + "13.b": [ 13 ], - "14": [ + "14.a": [ 14 ], - "15": [ + "14.b": [ + 14 + ], + "15.a": [ + 15 + ], + "15.b": [ 15 ], "16": [ 16 ], - "17": [ + "17.a": [ 17 ], - "18": [ + "17.b": [ + 17 + ], + "18.a": [ + 18 + ], + "18.b": [ 18 ], - "19": [ + "18.c": [ + 18 + ], + "19.a": [ + 19 + ], + "19.b": [ 19 ] -} +} \ No newline at end of file