[
  {
    "index": 12060,
    "id": 23289,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "A bookstore had 2287 pens and 2287 rulers at first.After 1852 pens and 547 rulers were sold, the cost of each pen was \\$2 and the cost of each ruler was 70¢.How much was collected from the sale of pen",
    "key_answers": [
      "4086.90"
    ],
    "correct_index": null,
    "sol_len": 151,
    "sol_preview": "Pens sold: 1852 × \\$2 = \\$3704.Rulers sold: 547 × 70¢ = 38290¢ = \\$382.90. Total collected = \\$3704 + \\$382.90 = \\$4086.90.",
    "reason": "encoding_artifacts; no_concluding_statement"
  },
  {
    "index": 12061,
    "id": 23290,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The sum of two numbers is 29.One of the numbers is a factor of 45.The other number is a multiple of 5.What is the difference between the two numbers?",
    "key_answers": [
      "11"
    ],
    "correct_index": null,
    "sol_len": 200,
    "sol_preview": "The two numbers add to 29.A factor of 45 (1,3,5,9,15,45) plus a multiple of 5 (5,10,15,20,25,...) = 29: 9 + 20 = 29 works (9 is a factor of 45, 20 is a multiple of 5).Difference = 20 − 9 = 11.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12062,
    "id": 23291,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "The sum of two numbers is 561.One of the numbers is a 2-digit number.The other number is a 3-digit number.What is the smallest possible difference between the two numbers?",
    "key_answers": [
      "363"
    ],
    "correct_index": null,
    "sol_len": 185,
    "sol_preview": "To make the difference smallest, make the 2-digit number as large as possible: the largest 2-digit number is 99, so the 3-digit number is 561 − 99 = 462.Difference = 462 − 99 = 363.",
    "reason": null
  },
  {
    "index": 12063,
    "id": 23292,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "The figure is made up of square A and rectangles B, C and D arranged so that B sits above A and C above D, with A and D forming the lower row and B and C the upper row.The perimeter of the figure is 8",
    "key_answers": [
      "8"
    ],
    "correct_index": null,
    "sol_len": 278,
    "sol_preview": "Square A and rectangle C (which spans the full width on the right) together set the outline.The perimeter of the whole figure (80 cm) minus the perimeter of rectangle C (48 cm) leaves 80 − 48 = 32 cm,",
    "reason": null
  },
  {
    "index": 12064,
    "id": 23293,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "The figure is made up of square A (side 8 cm) and rectangles B, C and D.The perimeter of the figure is 80 cm, the perimeter of rectangle C is 48 cm, and the area of rectangle B is 24 cm^2 less than th",
    "key_answers": [
      "351"
    ],
    "correct_index": null,
    "sol_len": 336,
    "sol_preview": "Area of square A = 8 × 8 = 64 cm².Area of B = 64 − 24 = 40 cm², and B shares the 8 cm width, so B's other side = 40 ÷ 8 = 5 cm.Rectangle C's perimeter 48 cm with breadth 8 gives 2 × length = 48 − 5 − ",
    "reason": null
  },
  {
    "index": 12065,
    "id": 23294,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "In 125.34, which digit is in the tenths place?",
    "key_answers": [
      "1",
      "2",
      "3",
      "4"
    ],
    "correct_index": 2,
    "sol_len": 149,
    "sol_preview": "In a decimal, the first digit after the decimal point is the tenths place.In 125.34 the digit after the point is 3, so the tenths digit is 3.",
    "reason": null
  },
  {
    "index": 12066,
    "id": 23295,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Arrange the numbers from the smallest to the greatest.6.7, 0.67, 6.07, 0.76",
    "key_answers": [
      "0.67, 0.76, 6.07, 6.7",
      "0.76, 0.67, 6.07, 6.7",
      "6.07, 6.7, 0.67, 0.76",
      "6.7, 6.07, 0.76, 0.67"
    ],
    "correct_index": 0,
    "sol_len": 216,
    "sol_preview": "Compare whole-number parts first: 0.67 and 0.76 are less than 1; 6.07 and 6.7 are more than 6.Within each pair compare tenths: 0.67 Order: 0.67, 0.76, 6.07, 6.7.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12067,
    "id": 23296,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "What is the decimal represented by Z on the number line?Ans:",
    "key_answers": [
      "30.78"
    ],
    "correct_index": null,
    "sol_len": 178,
    "sol_preview": "The interval from 30.7 to 30.8 is divided into 5 equal parts, so each part is 0.1 \\div 5 = 0.02.Z sits one small mark before 30.8, so 30.8 - 0.02 = 30.78.",
    "reason": null
  },
  {
    "index": 12068,
    "id": 23297,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "(a) Express 5\\dfrac{73}{100} as a decimal.(b) Round 45.999 to the nearest 1 decimal place.",
    "key_answers": [
      "5.73",
      "46.0"
    ],
    "correct_index": null,
    "sol_len": 204,
    "sol_preview": "(a) \\dfrac{73}{100} means 73 hundredths = 0.73, so 5\\dfrac{73}{100} = 5.73.(b) Look at the hundredths digit of 45.999, which is 9 (≥5), so round the tenths up: 45.999 \\approx 46.0.",
    "reason": null
  },
  {
    "index": 12069,
    "id": 23298,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The total length of two ropes, Rope P and Rope Q, is 23.06 m.The length of Rope Q is 14.78 m.What is the difference in length between Rope P and Rope Q?Ans: m",
    "key_answers": [
      "6.5"
    ],
    "correct_index": null,
    "sol_len": 119,
    "sol_preview": "First find Rope P: 23.06 - 14.78 = 8.28 m.The difference between Rope P and Rope Q is 14.78 - 8.28 = 6.5 m.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12070,
    "id": 23299,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Bala had 10.5 kg of sugar.He used 3.5 kg of it and repacked the rest equally into 5 boxes.What was the mass of sugar in each box?Ans: kg",
    "key_answers": [
      "1.4"
    ],
    "correct_index": null,
    "sol_len": 116,
    "sol_preview": "Sugar left after using some: 10.5 - 3.5 = 7 kg.Repacked equally into 5 boxes: 7 \\div 5 = 1.4 kg per box.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12071,
    "id": 23300,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Siti paid \\$10.40 for a chocolate cake and 4 curry puffs.Sumei paid \\$13.60 for a chocolate cake and 8 curry puffs.Shanti bought 5 chocolate cakes.(a) What was the cost of 1 curry puff? \\$[?](b) How m",
    "key_answers": [
      "0.80",
      "36.00"
    ],
    "correct_index": null,
    "sol_len": 301,
    "sol_preview": "(a) Sumei bought 4 more curry puffs than Siti and paid 13.60 - 10.40 = \\$3.20 more.So 4 curry puffs cost \\$3.20, and 1 curry puff = 3.20 \\div 4 = \\$0.80.(b) Cost of 1 chocolate cake = 10.40 - (4 \\time",
    "reason": null
  },
  {
    "index": 12072,
    "id": 23301,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Janice had 6 \\ell of orange juice.She poured 3.85 \\ell of orange juice equally into 7 identical cups.(a) How much orange juice was left? \\ell(b) How much orange juice was there in each cup? \\ell",
    "key_answers": [
      "2.15",
      "0.55"
    ],
    "correct_index": null,
    "sol_len": 168,
    "sol_preview": "(a) Juice poured out is 3.85 ℓ, so juice left = 6 - 3.85 = 2.15 ℓ.(b) The 3.85 ℓ poured out is shared equally into 7 cups: 3.85 \\div 7 = 0.55 ℓ in each cup.",
    "reason": null
  },
  {
    "index": 12073,
    "id": 23302,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which digit in 17.48 is in the tenths place?",
    "key_answers": [
      "1",
      "7",
      "8",
      "4"
    ],
    "correct_index": 3,
    "sol_len": 155,
    "sol_preview": "In 17.48 the digit right after the decimal point is the tenths place.That digit is 4.(The 8 is in the hundredths place.) Answer: 4.",
    "reason": null
  },
  {
    "index": 12074,
    "id": 23303,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Express 6\\dfrac{7}{25} as a decimal.",
    "key_answers": [
      "6.07",
      "6.25",
      "6.28",
      "6.70"
    ],
    "correct_index": 2,
    "sol_len": 160,
    "sol_preview": "Convert \\dfrac{7}{25} to hundredths: \\dfrac{7}{25}=\\dfrac{7\\times4}{25\\times4}=\\dfrac{28}{100}=0.28.So 6\\dfrac{7}{25}=6.28.Answer: 6.28.",
    "reason": null
  },
  {
    "index": 12075,
    "id": 23304,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "ABCD is a rectangle.\\angle EDF is 34° and \\angle FDC is 14°.Find \\angle ADE.",
    "key_answers": [
      "42°",
      "48°",
      "56°",
      "76°"
    ],
    "correct_index": 0,
    "sol_len": 190,
    "sol_preview": "The corner of a rectangle is a right angle, so \\angle ADC=90°.This angle is split into \\angle ADE+\\angle EDF+\\angle FDC.So \\angle ADE=90°-34°-14°=42°.Answer: 42°.",
    "reason": null
  },
  {
    "index": 12076,
    "id": 23305,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "The number line is marked at equal intervals.What decimal is represented by the letter G on the number line?",
    "key_answers": [
      "8.007",
      "8.017",
      "8.07",
      "8.17"
    ],
    "correct_index": 1,
    "sol_len": 188,
    "sol_preview": "From 8.01 to 8.02 is 0.01, divided into 10 equal intervals, so each interval is 0.001.G is 7 intervals from 8.01: 8.01+7\\times0.001=8.017.Answer: 8.017.",
    "reason": null
  },
  {
    "index": 12077,
    "id": 23306,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Round $$39.95$$ to 1 decimal place. [?]",
    "key_answers": [
      "40.0"
    ],
    "correct_index": null,
    "sol_len": 161,
    "sol_preview": "To round to 1 decimal place, look at the hundredths digit.39.95 has hundredths digit 5, so round the tenths up: 39.9\\to40.0.Answer: 40.0.",
    "reason": null
  },
  {
    "index": 12078,
    "id": 23307,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Complete the number pattern.7.38, 7.48, 7.47, 7.57, 7.56, 7.66, , 7.75, 7.74, 7.84",
    "key_answers": [
      "7.65"
    ],
    "correct_index": null,
    "sol_len": 226,
    "sol_preview": "The pattern alternates: +0.10 then -0.01.7.38(+0.10)7.48(-0.01)7.47(+0.10)7.57(-0.01)7.56(+0.10)7.66(-0.01)\\mathbf{7.65}(+0.10)7.75(-0.01)7.74(+0.10)7.84.The missing term is 7.66-0.01=7.65.Answer: 7.6",
    "reason": null
  },
  {
    "index": 12079,
    "id": 23308,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "In a class of 40, the pupils participated in different Co-Curricular Activities. Each pupil only participated in 1 Co-Curricular Activity. The pie chart shows their participation. What fraction of the",
    "key_answers": [
      "\\(\\dfrac{1}{8}\\)",
      "\\(\\dfrac{1}{4}\\)",
      "\\(\\dfrac{7}{8}\\)",
      "\\(\\dfrac{1}{9}\\)"
    ],
    "correct_index": 0,
    "sol_len": 342,
    "sol_preview": "Art is \\dfrac{3}{8}.Basketball, Choir and Scouts make up the rest.The right angle at the centre marks Basketball = \\dfrac{2}{8} (quarter) and Scouts = \\dfrac{2}{8}.So Art+Basketball+Scouts =\\dfrac{3}{",
    "reason": null
  },
  {
    "index": 12080,
    "id": 23309,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "In a class of 40, the pupils participated in different Co-Curricular Activities. Each pupil only participated in 1 Co-Curricular Activity. The pie chart shows their participation. How many pupils in t",
    "key_answers": [
      "10"
    ],
    "correct_index": null,
    "sol_len": 216,
    "sol_preview": "Basketball is the right-angle (quarter) sector, so it is \\dfrac{2}{8}=\\dfrac{1}{4} of the class.\\dfrac{1}{4} of 40 =40\\div4=10 pupils.(Key working: 40\\div8=5, 5\\times2=10.) Answer: 10.",
    "reason": null
  },
  {
    "index": 12081,
    "id": 23310,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "A water bottle contained $$1.2$$ $$l$$ of water. It contained $$2.5$$ $$l$$ less water than a kettle. How much water was there in 4 such kettles? [?]",
    "key_answers": [
      "14.8"
    ],
    "correct_index": null,
    "sol_len": 153,
    "sol_preview": "One kettle holds 1.2+2.5=3.7 l (the bottle has 2.5 l less than a kettle).For 4 kettles: 3.7\\times4=14.8 l.Answer: 14.8 l.",
    "reason": null
  },
  {
    "index": 12082,
    "id": 23311,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Mrs Tan had 7.86 kg of flour less than Mrs Siva.After Mrs Siva used 10 kg of flour, Mrs Tan had 3 times as much flour as Mrs Siva had left.(a) How many more kilograms of flour did Mrs Tan have than Mr",
    "key_answers": [
      "2.14",
      "1.07"
    ],
    "correct_index": null,
    "sol_len": 415,
    "sol_preview": "(a) Mrs Tan's amount is unchanged.At the start Mrs Siva had 7.86 kg more than Mrs Tan; after using 10 kg, Mrs Siva is now 10-7.86=2.14 kg less than Mrs Tan.So Mrs Tan has 2.14 kg more than Mrs Siva in",
    "reason": null
  },
  {
    "index": 12083,
    "id": 23312,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The value of the digit 3 in 57.43 is ____________.",
    "key_answers": [
      "0.03",
      "0.3",
      "3",
      "30"
    ],
    "correct_index": 0,
    "sol_len": 90,
    "sol_preview": "The digit 3 in 57.43 is in the hundredths place.Its value is 3 \\times 0.01 = 0.03.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12084,
    "id": 23313,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Round 32.786 to the nearest hundredth.",
    "key_answers": [
      "32.70",
      "32.78",
      "32.79",
      "33.00"
    ],
    "correct_index": 2,
    "sol_len": 101,
    "sol_preview": "The hundredths digit is 8; the thousandths digit is 6 (≥5), so round up.32.786 \\approx 32.79.",
    "reason": null
  },
  {
    "index": 12085,
    "id": 23314,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Express 8\\dfrac{5}{20} as a decimal.",
    "key_answers": [
      "8.52",
      "8.5",
      "8.25",
      "8.052"
    ],
    "correct_index": 2,
    "sol_len": 73,
    "sol_preview": "\\dfrac{5}{20} = \\dfrac{25}{100} = 0.25, so 8\\dfrac{5}{20} = 8.25.",
    "reason": null
  },
  {
    "index": 12086,
    "id": 23315,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Arrange the following decimals in increasing order.2.186   2.816   2.168   2.681",
    "key_answers": [
      "2.186, 2.168, 2.681, 2.816",
      "2.168, 2.186, 2.681, 2.816",
      "2.681, 2.816, 2.186, 2.168",
      "2.816, 2.681, 2.186, 2.168"
    ],
    "correct_index": 1,
    "sol_len": 121,
    "sol_preview": "Compare digit by digit after the units: 2.168 Increasing order is 2.168, 2.186, 2.681, 2.816.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12087,
    "id": 23316,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Mary bought 3 m of ribbon.She used 1.65 m of it to tie a present.How many metres of ribbon had she left?",
    "key_answers": [
      "4.65 m",
      "2.35 m",
      "1.62 m",
      "1.35 m"
    ],
    "correct_index": 3,
    "sol_len": 54,
    "sol_preview": "3 - 1.65 = 1.35.She had 1.35 m of ribbon left.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12088,
    "id": 23317,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "A bag costs four times as much as a purse.Jamie paid \\$33 for a bag and 2 purses.How much did a bag cost?",
    "key_answers": [
      "$5.50",
      "$11",
      "$22",
      "$27.50"
    ],
    "correct_index": 2,
    "sol_len": 157,
    "sol_preview": "Let a purse be 1 unit; a bag is 4 units.Bag + 2 purses = 4 + 2 = 6 units = \\$33, so 1 unit = \\$5.50.A bag = 4 units = 4 \\times 5.50 = 22.",
    "reason": null
  },
  {
    "index": 12089,
    "id": 23318,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "ABCD is a square. $$\\angle b$$ is twice the size of $$\\angle a$$. Find $$\\angle a$$. [?]",
    "key_answers": [
      "13"
    ],
    "correct_index": null,
    "sol_len": 187,
    "sol_preview": "Angle DAB of the square is 90°.So \\angle a + \\angle b + 51° = 90°.Since \\angle b = 2\\angle a, 3\\angle a + 51° = 90°, giving 3\\angle a = 39° and \\angle a = 13°.",
    "reason": null
  },
  {
    "index": 12090,
    "id": 23319,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Divide 6 by 7. Correct your answer to 1 decimal place. [?]",
    "key_answers": [
      "0.9"
    ],
    "correct_index": null,
    "sol_len": 121,
    "sol_preview": "6 \\div 7 = 0.857....The second decimal digit is 5, so round up the first decimal place: 0.857... \\approx 0.9.",
    "reason": null
  },
  {
    "index": 12091,
    "id": 23320,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Pearly had $$5.4\\ell$$ of watermelon juice. Pearly had twice as much watermelon juice as May. May had three times as much watermelon juice as Amy. How much more watermelon juice does Pearly have than ",
    "key_answers": [
      "4.5"
    ],
    "correct_index": null,
    "sol_len": 113,
    "sol_preview": "May = 5.4 \\div 2 = 2.7 L.Amy = 2.7 \\div 3 = 0.9 L.Pearly has 5.4 - 0.9 = 4.5 L more than Amy.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12092,
    "id": 23321,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Mrs Tan had 2.53 kg more flour than Mrs Sim. After Mrs Tan used 4.09 kg of flour, Mrs Sim had four times as much flour as Mrs Tan had left. How many kilograms of flour did Mrs Tan have at first? [?]",
    "key_answers": [
      "4.61"
    ],
    "correct_index": null,
    "sol_len": 368,
    "sol_preview": "After using 4.09 kg, Mrs Tan's amount is (Tan first − 4.09).Mrs Sim = Tan first − 2.53.Sim = 4 × Tan's remaining: T - 2.53 = 4(T - 4.09).So T - 2.53 = 4T - 16.36, giving 3T = 13.83 and T = 4.61 kg.(Eq",
    "reason": null
  },
  {
    "index": 12093,
    "id": 23322,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Mr Tan placed 8 flags around the border of a square field. The distance between each flag and the next was equal for all the flags. The distance between the 1st flag and the 6th flag was 27 m. What wa",
    "key_answers": [
      "43.2"
    ],
    "correct_index": null,
    "sol_len": 172,
    "sol_preview": "From the 1st flag to the 6th flag there are 5 gaps: 27 \\div 5 = 5.4 m per gap.With 8 flags around a closed border there are 8 equal gaps: 5.4 \\times 8 = 43.2 m.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12094,
    "id": 23323,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the product of 454 and 18?",
    "key_answers": [
      "4086",
      "7172",
      "7142",
      "8172"
    ],
    "correct_index": 3,
    "sol_len": 117,
    "sol_preview": "Multiply 454 by 18.454 \\times 18 = 454 \\times 10 + 454 \\times 8 = 4540 + 3632 = 8172.The product is 8172.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12095,
    "id": 23324,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The number of beads Mrs Tan bought when rounded to the nearest hundred is 4500.What is the greatest possible number of beads that she bought?",
    "key_answers": [
      "4499",
      "4549",
      "4599",
      "4999"
    ],
    "correct_index": 1,
    "sol_len": 148,
    "sol_preview": "A number rounds to 4500 to the nearest hundred when it is from 4450 to 4549.The greatest such number is 4549, since 4550 would round up to 4600.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12096,
    "id": 23325,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Look at the number sequence carefully.24, 28, 32, 36, 40, … …What is the 20th number?",
    "key_answers": [
      "194",
      "100",
      "80",
      "76"
    ],
    "correct_index": 1,
    "sol_len": 180,
    "sol_preview": "The sequence increases by 4 each time, starting at 24.The number of 4s added is 1 less than the position, so the 20th term adds 19 \\times 4 = 76.Then 76 + 24 = 100.",
    "reason": null
  },
  {
    "index": 12097,
    "id": 23326,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the remainder when 5729 is divided by 9? [?]",
    "key_answers": [
      "5"
    ],
    "correct_index": null,
    "sol_len": 130,
    "sol_preview": "Divide 5729 by 9: 5729 \\div 9 = 636 remainder 5, since 636 \\times 9 = 5724 and 5729 - 5724 = 5.The remainder is 5.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12098,
    "id": 23327,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "List down all the common factors of 15 and 42. [?]",
    "key_answers": [
      "1, 3"
    ],
    "correct_index": null,
    "sol_len": 107,
    "sol_preview": "Factors of 15: 1, 3, 5, 15.Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42.The common factors are 1 and 3.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12099,
    "id": 23328,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "(a) Find the 7th multiple of 4.(b) List down the second common multiple of 6 and 9.[?] , [?]",
    "key_answers": [
      "28",
      "36"
    ],
    "correct_index": null,
    "sol_len": 216,
    "sol_preview": "(a) The 7th multiple of 4 is 7 \\times 4 = 28.(b) Multiples of 6: 6, 12, 18, 24, 30, 36, …; multiples of 9: 9, 18, 27, 36, ….Common multiples are 18 (1st) and 36 (2nd), so the second common multiple is",
    "reason": "encoding_artifacts"
  },
  {
    "index": 12100,
    "id": 23329,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Use the digits given below to answer each of the following questions. Each digit can only be used once.3 8 6 2 1(a) Form the greatest 5-digit even number.(b) Form the smallest 4-digit odd number.[?] ,",
    "key_answers": [
      "86312",
      "1263"
    ],
    "correct_index": null,
    "sol_len": 289,
    "sol_preview": "(a) For the greatest even number, place the largest digits first and keep an even digit in the ones place: 8, 6, 3, 1, then 2 (even) gives 86312.(b) For the smallest 4-digit odd number, use the four s",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12101,
    "id": 23330,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Denise has some stamps and pens. She has as many stamps as pens. When she gives each friend 3 pens, she will have 9 pens left. When each friend gets 4 stamps from Denise, she will have 6 extra stamps.",
    "key_answers": [
      "3"
    ],
    "correct_index": null,
    "sol_len": 392,
    "sol_preview": "Let the number of friends be a value.Pens = 3 \\times \\text{friends} + 9 and stamps = 4 \\times \\text{friends} + 6.Since stamps equal pens, 3 \\times \\text{friends} + 9 = 4 \\times \\text{friends} + 6, so ",
    "reason": null
  },
  {
    "index": 12102,
    "id": 23331,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Devi baked 675 cookies on Saturday. She baked 4 times as many cookies on Sunday as on Saturday.(a) How many cookies did she bake on Sunday?(b) Devi packed all the cookies that she baked on Saturday in",
    "key_answers": [
      "2700",
      "140"
    ],
    "correct_index": null,
    "sol_len": 147,
    "sol_preview": "(a) Sunday = 4 times Saturday = 675 \\times 4 = 2700 cookies.(b) Boxes = 675 \\div 5 = 135 boxes; rounded to the nearest ten this is 140.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12103,
    "id": 23332,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "12\\,608 = 10\\,000 + 2000 + + 8What is the missing number in the box?",
    "key_answers": [
      "6",
      "60",
      "600",
      "6000"
    ],
    "correct_index": 2,
    "sol_len": 158,
    "sol_preview": "Method: subtract the known parts from the total.12\\,608 - 10\\,000 - 2000 - 8 = 600.The missing number is 600 (the hundreds place value of 12 608).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12104,
    "id": 23333,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the missing numerator in the box?4\\dfrac{1}{3} = \\dfrac{ }{3}",
    "key_answers": [
      "13",
      "12",
      "8",
      "5"
    ],
    "correct_index": 0,
    "sol_len": 155,
    "sol_preview": "Method: convert the mixed number to an improper fraction.4\\dfrac{1}{3} = \\dfrac{4 \\times 3 + 1}{3} = \\dfrac{13}{3}.The missing numerator is 13.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12105,
    "id": 23334,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The table shows the number of books read by the students in Class 4E in a week.How many more fiction books were read by the girls than the boys?",
    "key_answers": [
      "13",
      "12",
      "7",
      "6"
    ],
    "correct_index": 1,
    "sol_len": 154,
    "sol_preview": "Method: read the fiction column.Girls read 35 fiction books, boys read 23.35 - 23 = 12.The girls read 12 more fiction books than the boys.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12106,
    "id": 23335,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Find \\angle ABC.",
    "key_answers": [
      "62°",
      "78°",
      "118°",
      "122°"
    ],
    "correct_index": 2,
    "sol_len": 187,
    "sol_preview": "Method: read the protractor along ray BA (the 0° baseline) up to ray BC.Ray BA lies on the right-hand 0° mark, so read the inner scale; ray BC falls on 118°.\\angle ABC = 118°.",
    "reason": null
  },
  {
    "index": 12107,
    "id": 23336,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "4 is not a factor of ____________.",
    "key_answers": [
      "16",
      "27",
      "32",
      "60"
    ],
    "correct_index": 1,
    "sol_len": 168,
    "sol_preview": "Method: test divisibility by 4.16 = 4 \\times 4, 32 = 4 \\times 8, 60 = 4 \\times 15 — all divisible.27 \\div 4 = 6\\,R3, so 4 is not a factor of 27.",
    "reason": "encoding_artifacts"
  },
  {
    "index": 12108,
    "id": 23337,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "How many more squares must be shaded so that \\dfrac{2}{5} of the figure is shaded?",
    "key_answers": [
      "6",
      "2",
      "10",
      "4"
    ],
    "correct_index": 3,
    "sol_len": 241,
    "sol_preview": "Method: the figure is a 5 by 5 grid = 25 squares.\\dfrac{2}{5} \\text{ of } 25 = 10 squares need to be shaded.The shaded half-square triangles combine to 6 full squares already shaded, so 10 - 6 = 4 mor",
    "reason": null
  },
  {
    "index": 12109,
    "id": 23338,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "(a) What is the first common multiple of 3 and 7? (b) Round 18 067 to the nearest hundred.",
    "key_answers": [
      "21",
      "18100"
    ],
    "correct_index": null,
    "sol_len": 215,
    "sol_preview": "(a) List multiples: 3, 6, 9, 12, 15, 18, 21...and 7, 14, 21...The first common multiple is 21 (3 \\times 7).(b) The tens digit of 18 067 is 6, which is 5 or more, so round up: 18 067 rounds to 18 100.",
    "reason": null
  },
  {
    "index": 12110,
    "id": 23339,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Figure WXYZ is a rectangle.Find \\angle p.°",
    "key_answers": [
      "41"
    ],
    "correct_index": null,
    "sol_len": 170,
    "sol_preview": "Method: the corner X of the rectangle is a right angle (90°).The 49° angle and \\angle p together make up that right angle at X.\\angle p = 90° - 49° = 41°.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12111,
    "id": 23340,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "The line graph shows Dawn's savings over 6 weeks.(a) What was Dawn's savings in Week 4? $$\\$$[?](b) During which 1-week period was the increase in Dawn's savings the greatest? Week [?] to Week [?]",
    "key_answers": [
      "16",
      "5",
      "6"
    ],
    "correct_index": null,
    "sol_len": 235,
    "sol_preview": "(a) Read the graph at Week 4: the point is at \\$16. (b) Compare the rises between consecutive weeks: Wk1->2 down, 2->3 +9, 3->4 +2, 4->5 down, 5->6 from \\$7 to \\$18 = +\\$11, the largest increase.So We",
    "reason": null
  },
  {
    "index": 12112,
    "id": 23341,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Harry bought some brownies.He packed them into boxes of 6.Then, he had 48 boxes of brownies and 5 brownies were left unpacked.How many brownies did Harry buy?",
    "key_answers": [
      "293"
    ],
    "correct_index": null,
    "sol_len": 127,
    "sol_preview": "Method: brownies in full boxes = 48 \\times 6 = 288.Add the 5 unpacked: 288 + 5 = 293.Harry bought 293 brownies.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12113,
    "id": 23342,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "(a) What is the mixed number represented by A on the number line shown? Express your answer in the simplest form. (b) Name a fraction greater than $$\\frac{2}{5}$$ but smaller than $$\\frac{4}{7}$$.",
    "key_answers": [
      "\\(1\\dfrac{2}{3}\\) , \\(\\dfrac{3}{7}\\)",
      "\\(\\dfrac{3}{7}\\) , \\(1\\dfrac{2}{3}\\)",
      "\\(\\dfrac{3}{7}\\) , \\(1\\dfrac{2}{3}\\)",
      "\\(\\dfrac{3}{7}\\) , \\(1\\dfrac{2}{3}\\)"
    ],
    "correct_index": 0,
    "sol_len": 264,
    "sol_preview": "(a) Between 1 and 2 the line is divided into smaller parts; A sits at the mark giving 1\\dfrac{2}{3} in simplest form.(b) \\dfrac{2}{5} = 0.4 and \\dfrac{4}{7} \\approx 0.571; \\dfrac{3}{7} \\approx 0.429 l",
    "reason": null
  },
  {
    "index": 12114,
    "id": 23343,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Figure ABCDE is drawn on the square grid shown.In the figure, identify a pair of perpendicular lines.Line \\perp Line",
    "key_answers": [
      "AE",
      "ED"
    ],
    "correct_index": null,
    "sol_len": 188,
    "sol_preview": "Method: perpendicular lines meet at a right angle.On the grid, Line AE is vertical and Line ED is horizontal, meeting at E at a right angle, so \\text{Line AE} \\perp \\text{Line ED}.",
    "reason": null
  },
  {
    "index": 12115,
    "id": 23344,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Jenny bought 2 tables and 3 chairs. Each table cost twice as much as a chair. Jenny spent a total of \\$378.(a) Find the cost of a chair. $$\\$$[?](b) Find the cost of the 2 tables. $$\\$$[?]",
    "key_answers": [
      "54",
      "216"
    ],
    "correct_index": null,
    "sol_len": 202,
    "sol_preview": "Method (units): a table = 2 chair-units.2 tables = 4 units, 3 chairs = 3 units, total = 7 units = \\$378. (a) 1 chair = 378 \\div 7 = \\$54.(b) 2 tables = 4 units = 54 \\times 4 = \\$216.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12116,
    "id": 23345,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Johnny used squares and dots to form a pattern.The number of squares and dots for Figures 1 to 4 are 1 square/4 dots, 3 squares/8 dots, 5 squares/12 dots, 7 squares/16 dots.(a) For Figure 5: Number of",
    "key_answers": [
      "9",
      "20",
      "23"
    ],
    "correct_index": null,
    "sol_len": 241,
    "sol_preview": "Squares go 1, 3, 5, 7, ...(add 2 each time), so Figure 5 = 9 squares.Dots go 4, 8, 12, 16, ...(add 4 each time), so Figure 5 = 20 dots.Squares = 2 \\times \\text{figure} - 1, so Figure 12 = 2 \\times 12 ",
    "reason": null
  },
  {
    "index": 12117,
    "id": 23346,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which of the following is thirteen thousand, nine hundred and twenty in numerals?",
    "key_answers": [
      "13 912",
      "13 920",
      "30 912",
      "30 920"
    ],
    "correct_index": 1,
    "sol_len": 119,
    "sol_preview": "Thirteen thousand = 13 000, nine hundred = 900, twenty = 20.Combine: 13 000 + 900 + 20 = 13 920.Answer: 13 920.",
    "reason": null
  },
  {
    "index": 12118,
    "id": 23347,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "In 72 140, which digit is in the tens place?",
    "key_answers": [
      "1",
      "2",
      "7",
      "4"
    ],
    "correct_index": 3,
    "sol_len": 131,
    "sol_preview": "In 72 140, reading from the right: 0 is ones, 4 is tens, 1 is hundreds, 2 is thousands, 7 is ten thousands.The tens digit is 4.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12119,
    "id": 23348,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "In which of the following numbers does the digit 3 have the greatest value?",
    "key_answers": [
      "30 275",
      "53 980",
      "72 403",
      "90 635"
    ],
    "correct_index": 0,
    "sol_len": 139,
    "sol_preview": "Find the place value of digit 3 in each: 30 275 -> 30 000; 53 980 -> 3 000; 72 403 -> 3; 90 635 -> 30.The greatest is 30 000 in 30 275.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12120,
    "id": 23349,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Which of the following numbers when rounded off to the nearest ten becomes 72 500?",
    "key_answers": [
      "72 444",
      "72 496",
      "72 506",
      "72 554"
    ],
    "correct_index": 1,
    "sol_len": 135,
    "sol_preview": "Round each to the nearest ten: 72 444 -> 72 440; 72 496 -> 72 500; 72 506 -> 72 510; 72 554 -> 72 550.Only 72 496 rounds to 72 500.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12121,
    "id": 23350,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Peter drew a repeated pattern using some letters on his drawing paper.The first 21 letters are A B C D C B A A B C D C B A A B C D C B A.What is the 80th letter?",
    "key_answers": [
      "A",
      "B",
      "C",
      "D"
    ],
    "correct_index": 2,
    "sol_len": 165,
    "sol_preview": "The pattern repeats in blocks of 7 letters: A B C D C B A.80 divided by 7 = 11 remainder 3.The remainder 3 points to the 3rd letter of the block, which is C.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12122,
    "id": 23351,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "(a) Arrange the following numbers from the greatest to the smallest.3899, 9938, 9983, 3998 , , , (b) Write the missing number in the number pattern.4549, 4699, 4849, , 5149, 5299",
    "key_answers": [
      "9983",
      "9938",
      "3998",
      "3899"
    ],
    "correct_index": null,
    "sol_len": 236,
    "sol_preview": "(a) Compare the numbers: the two starting with 9 are larger.9983 > 9938; then 3998 > 3899.Greatest to smallest: 9983, 9938, 3998, 3899.(b) The pattern increases by 150 each step (4549, 4699, 4849, ...",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12123,
    "id": 23352,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "(a) Some factors of 28 are 1, 2, 4 and 28.What are the other two factors of 28? and (b) Find the first common multiple of 4 and 6.",
    "key_answers": [
      "7",
      "14",
      "12"
    ],
    "correct_index": null,
    "sol_len": 182,
    "sol_preview": "(a) The factors of 28 are 1, 2, 4, 7, 14, 28.The two not listed are 7 and 14.(b) Multiples of 4: 4, 8, 12, ...; multiples of 6: 6, 12, ...The first common multiple is 12.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12124,
    "id": 23353,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "(a) What is the product of 207 and 86?(b) What is the quotient when 8017 is divided by 9?",
    "key_answers": [
      "17802",
      "890"
    ],
    "correct_index": null,
    "sol_len": 128,
    "sol_preview": "(a) 207 x 86 = 207 x 80 + 207 x 6 = 16 560 + 1 242 = 17 802.(b) 8017 divided by 9 = 890 remainder 7.The quotient is 890.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12125,
    "id": 23354,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The bar graph shows the number of tourists who visited the different attractions during the March holidays.(a) How many tourists visited the Bird Park during the March holidays?(b) Which attraction ha",
    "key_answers": [
      "390",
      "Zoo"
    ],
    "correct_index": null,
    "sol_len": 204,
    "sol_preview": "(a) Bird Park: 140 male + 250 female = 390 tourists.(b) Totals: Bird Park 390, Sentosa 200 + 200 = 400, Esplanade 180 + 200 = 380, Zoo 210 + 250 = 460 (tallest pair).The Zoo has the most tourists.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12126,
    "id": 23355,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The bar graph shows the number of participants who signed up for the different courses in a community centre.Which one of the following tables represents the information shown in the bar graph?",
    "key_answers": [
      "Table A",
      "Table B",
      "Table C",
      "Table D"
    ],
    "correct_index": 1,
    "sol_len": 223,
    "sol_preview": "Read the relative bar heights: Coding and Bakery are tall and equal, Swimming is tallest, Photography is medium, Handicraft is shortest.Table B matches (Photography 20, Coding 30, Handicraft 15, Baker",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12127,
    "id": 23356,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Ali bought a packet of sweets.When he put the sweets into bags of 6, he would have no sweets left.When he put them into bags of 8, he would have 4 sweets left.The packet contained more than 40 but les",
    "key_answers": [
      "60"
    ],
    "correct_index": null,
    "sol_len": 193,
    "sol_preview": "A multiple of 6 between 40 and 70: 42, 48, 54, 60, 66.Numbers that leave remainder 4 when divided by 8 (i.e. 4 more than a multiple of 8: 44, 52, 60, 68).The number in both lists is 60.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12128,
    "id": 23357,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Eileen has 4 times as many beads as Fiona.Eileen has twice as many beads as Giselle.Fiona has 207 fewer beads than Eileen.How many beads do they have altogether?",
    "key_answers": [
      "483"
    ],
    "correct_index": null,
    "sol_len": 297,
    "sol_preview": "Let Fiona = 1 unit, so Eileen = 4 units.The difference is 4 - 1 = 3 units = 207, so 1 unit = 207 divided by 3 = 69.Fiona = 69, Eileen = 276, Giselle = half of Eileen = 138.Total = 69 + 276 + 138 = 483",
    "reason": null
  },
  {
    "index": 12129,
    "id": 23358,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Jeanette and Nicole have a total of 197 stickers.Nicole and Scarlett have a total of 203 stickers.The 3 girls have a total of 292 stickers.(a) How many stickers does Scarlett have?(b) How many sticker",
    "key_answers": [
      "95",
      "89"
    ],
    "correct_index": null,
    "sol_len": 132,
    "sol_preview": "(a) Jeanette + Nicole = 197, so Scarlett = total 292 - 197 = 95.(b) Nicole + Scarlett = 203, so Jeanette = total 292 - 203 = 89.",
    "reason": null
  },
  {
    "index": 12130,
    "id": 23359,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "The amount of sugar in Box A is 250 g more than the amount of sugar in Box B.After Mrs Lim used 350 g of sugar in Box B to bake some cupcakes, the amount of sugar in Box A is 5 times as much as the am",
    "key_answers": [
      "150",
      "750"
    ],
    "correct_index": null,
    "sol_len": 250,
    "sol_preview": "After Box B loses 350 g, let Box B = 1 unit and Box A = 5 units.Box A is unchanged, so the difference is now 250 + 350 = 600 g = 4 units.1 unit = 600 divided by 4 = 150 g, so (a) Box B has 150 g left.",
    "reason": null
  },
  {
    "index": 12131,
    "id": 23360,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The line graph shows the amount of petrol sold in a petrol station from 12 00 to 17 00.(a) What was the amount of petrol in the petrol station at the start?[?] litres(b) At which 1-hour period was the",
    "key_answers": [
      "3000",
      "1400",
      "1500",
      "1800"
    ],
    "correct_index": null,
    "sol_len": 356,
    "sol_preview": "(a) At 12 00 (the start) the graph reads 3000 litres.(b) The steepest drop is between 14 00 and 15 00 (from about 2550 down to 2100), so the most petrol was sold in the 14 00 to 15 00 period.(c) At 13",
    "reason": "answer_issue: answer_not_found_in_solution: 1400"
  },
  {
    "index": 12132,
    "id": 23361,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the value of the digit 7 in 70\\ 246?",
    "key_answers": [
      "70",
      "700",
      "7000",
      "70 000"
    ],
    "correct_index": 3,
    "sol_len": 90,
    "sol_preview": "The digit 7 is in the ten-thousands place.Its value is 7 \\times 10\\,000 = 70\\ 000.",
    "reason": "no_concluding_statement; answer_issue: solution_may_not_identify_correct_choice: key=\"70 000\""
  },
  {
    "index": 12133,
    "id": 23362,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which of the following is a multiple of 8?",
    "key_answers": [
      "1",
      "18",
      "32",
      "4"
    ],
    "correct_index": 2,
    "sol_len": 94,
    "sol_preview": "A multiple of 8 can be divided exactly by 8.32 = 8 \\times 4, so 32 is a multiple of 8.",
    "reason": null
  },
  {
    "index": 12134,
    "id": 23363,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "What is the product of 3 and 1356?",
    "key_answers": [
      "452",
      "1359",
      "3968",
      "4068"
    ],
    "correct_index": 3,
    "sol_len": 49,
    "sol_preview": "Product means multiply: 3 \\times 1356 = 4068.",
    "reason": null
  },
  {
    "index": 12135,
    "id": 23364,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which of the following is a multiple of both 4 and 5?",
    "key_answers": [
      "9",
      "24",
      "40",
      "50"
    ],
    "correct_index": 2,
    "sol_len": 125,
    "sol_preview": "A common multiple of 4 and 5 must be in both times tables.40 = 4 \\times 10 = 5 \\times 8, so 40 is a multiple of both.",
    "reason": null
  },
  {
    "index": 12136,
    "id": 23365,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Sarah and Tom had the same amount of money.After Sarah spent \\$336, Tom had 7 times as much money as Sarah in the end.How much money did Sarah have left?",
    "key_answers": [
      "$48",
      "$56",
      "$392",
      "$2352"
    ],
    "correct_index": 1,
    "sol_len": 233,
    "sol_preview": "Tom's money never changed, and at first both were equal.Let the starting amount be the whole.After Sarah spends \\$336, Tom = 7 units and Sarah = 1 unit, so 6 units = \\$336 → 1 unit = \\$56. Sarah had \\",
    "reason": null
  },
  {
    "index": 12137,
    "id": 23366,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the missing number?10\\ 000 + 5000 + 30 + 8 =",
    "key_answers": [
      "15038"
    ],
    "correct_index": null,
    "sol_len": 60,
    "sol_preview": "Add the place values: 10\\ 000 + 5000 + 30 + 8 = 15\\ 038.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12138,
    "id": 23367,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Arrange the following numbers from the smallest to the greatest.54\\ 678, 54\\ 867, 45\\ 876, ,",
    "key_answers": [
      "45876",
      "54678",
      "54867"
    ],
    "correct_index": null,
    "sol_len": 182,
    "sol_preview": "Compare digit by digit from the left.45 876 starts with 4 (smallest).Between 54 678 and 54 867, compare hundreds: 6 Order: 45 876, 54 678, 54 867.",
    "reason": null
  },
  {
    "index": 12139,
    "id": 23368,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Write the missing number in the number pattern.88\\ 520, 88\\ 720, 88\\ 920, , 89\\ 320,",
    "key_answers": [
      "89120"
    ],
    "correct_index": null,
    "sol_len": 105,
    "sol_preview": "The pattern increases by 200 each step.88\\ 920 + 200 = 89\\ 120 (and 89\\ 320 - 200 = 89\\ 120).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12140,
    "id": 23369,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "A number is 29\\ 800 when rounded to the nearest 100.What is the greatest possible whole number?",
    "key_answers": [
      "29849"
    ],
    "correct_index": null,
    "sol_len": 148,
    "sol_preview": "Numbers that round to 29 800 (nearest 100) range from 29 750 up to 29 849.The greatest whole number is 29 849 (29 850 would round up to 29 900).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12141,
    "id": 23370,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Some factors of 32 are 1, 2, 4 and 32.What are the other two factors of 32? and",
    "key_answers": [
      "8",
      "16"
    ],
    "correct_index": null,
    "sol_len": 121,
    "sol_preview": "The factors of 32 are 1, 2, 4, 8, 16, 32.The two not listed are 8 and 16 (8 \\times 4 = 32, 16 \\times 2 = 32).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12142,
    "id": 23371,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "A shop had 104 boxes of oranges.Each box had 73 oranges.How many oranges were there altogether?",
    "key_answers": [
      "7592"
    ],
    "correct_index": null,
    "sol_len": 60,
    "sol_preview": "Multiply boxes by oranges per box: 104 \\times 73 = 7592.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12143,
    "id": 23372,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "A given number is a common factor of 12 and 21.It is greater than 1.What is the number?",
    "key_answers": [
      "3"
    ],
    "correct_index": null,
    "sol_len": 131,
    "sol_preview": "Factors of 12: 1, 2, 3, 4, 6, 12.Factors of 21: 1, 3, 7, 21.The common factors are 1 and 3.The one greater than 1 is 3.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12144,
    "id": 23373,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "I am a number between 25 and 35.I am a multiple of 3.One of my factors is 5.What number am I?",
    "key_answers": [
      "30"
    ],
    "correct_index": null,
    "sol_len": 126,
    "sol_preview": "Multiples of 3 between 25 and 35: 27, 30, 33.Of these, only 30 has 5 as a factor (30 \\div 5 = 6).The number is 30.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12145,
    "id": 23374,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Alex and Betty had a total of 308 stickers at first.After Alex gave away 56 stickers, Betty had 3 times as many stickers as Alex.How many stickers did Alex have at first?",
    "key_answers": [
      "119"
    ],
    "correct_index": null,
    "sol_len": 183,
    "sol_preview": "After Alex gives away 56, the remaining total is 308 - 56 = 252.Then Betty : Alex = 3 : 1, so 4 units = 252 → 1 unit = 63.Alex had 63 after, so at first 63 + 56 = 119.",
    "reason": null
  },
  {
    "index": 12146,
    "id": 23375,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "A chair costs \\$280 lesser than a bed. A bed and 4 identical chairs cost \\$880. How much does each chair cost? [?]",
    "key_answers": [
      "120"
    ],
    "correct_index": null,
    "sol_len": 129,
    "sol_preview": "A bed = 1 chair + \\$280. So 1 bed + 4 chairs = 5 chairs + \\$280 = \\$880 → 5 chairs = \\$600 → 1 chair = \\$120.",
    "reason": null
  },
  {
    "index": 12147,
    "id": 23376,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Ryan baked 3 times as many cookies as Chloe.Ryan sold 66 of his cookies and Chloe sold 10 of her cookies.They then had the same number of cookies left.How many cookies did Ryan bake?",
    "key_answers": [
      "84"
    ],
    "correct_index": null,
    "sol_len": 164,
    "sol_preview": "Ryan = 3 units, Chloe = 1 unit.After selling, 3 units − 66 = 1 unit − 10, so 2 units = 66 − 10 = 56 → 1 unit = 28.Ryan baked 3 units = 28 \\times 3 = 84.",
    "reason": null
  },
  {
    "index": 12148,
    "id": 23377,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Write the missing number in the number pattern.3489, 3639, 3789, , 4089",
    "key_answers": [
      "3939"
    ],
    "correct_index": null,
    "sol_len": 138,
    "sol_preview": "The pattern increases by 150 each step: 3489, 3639, 3789, ...The missing term = 3789 + 150 = 3939 (and 3939 + 150 = 4089, confirming).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12149,
    "id": 23378,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Write $$4\\frac{2}{3}$$ as an improper fraction.",
    "key_answers": [
      "\\(4\\dfrac{2}{3}\\)",
      "5",
      "\\(\\dfrac{13}{3}\\)",
      "\\(\\dfrac{14}{4}\\)"
    ],
    "correct_index": 0,
    "sol_len": 114,
    "sol_preview": "Multiply the whole number by the denominator and add the numerator: 4 x 3 + 2 = 14.Keep the denominator: 14/3.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12150,
    "id": 23379,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Round 34 578 to the nearest 100.",
    "key_answers": [
      "34600"
    ],
    "correct_index": null,
    "sol_len": 100,
    "sol_preview": "Look at the tens digit (7).Since 7 is 5 or more, round the hundreds up: 34 578 rounds to 34 600.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12151,
    "id": 23380,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Write 14 043 in words.",
    "key_answers": [
      "Fourteen thousand and forty-three",
      "Fourteen thousand, four hundred and three",
      "One thousand four hundred and forty-three",
      "Forty thousand and forty-three"
    ],
    "correct_index": 0,
    "sol_len": 96,
    "sol_preview": "14 043 = 14 thousands and 43 ones = Fourteen thousand and forty-three.There are no hundreds.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12152,
    "id": 23381,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the first common multiple of 6 and 9?",
    "key_answers": [
      "18"
    ],
    "correct_index": null,
    "sol_len": 105,
    "sol_preview": "Multiples of 6: 6, 12, 18, ...Multiples of 9: 9, 18, ...The first (lowest) common multiple is 18.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12153,
    "id": 23382,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the remainder when 3210 is divided by 8?",
    "key_answers": [
      "2"
    ],
    "correct_index": null,
    "sol_len": 74,
    "sol_preview": "3210 divided by 8 = 401 remainder 2 (8 x 401 = 3208, and 3210 - 3208 = 2).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12154,
    "id": 23383,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Find the product of 4728 and 7.",
    "key_answers": [
      "33096"
    ],
    "correct_index": null,
    "sol_len": 42,
    "sol_preview": "Product means multiply: 4728 x 7 = 33 096.",
    "reason": null
  },
  {
    "index": 12155,
    "id": 23384,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Find the value of $$1 - \\frac{1}{4} - \\frac{5}{12}$$Express your answer in the simplest form.",
    "key_answers": [
      "\\(\\dfrac{1}{3}\\)",
      "\\(\\dfrac{2}{3}\\)",
      "\\(\\dfrac{1}{4}\\)",
      "\\(\\dfrac{5}{6}\\)"
    ],
    "correct_index": 0,
    "sol_len": 61,
    "sol_preview": "Use twelfths: 1 = 12/12.12/12 - 3/12 - 5/12 = 4/12 = 1/3.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12156,
    "id": 23385,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which two of the fractions are equivalent?$$\\frac{8}{12}$$, $$\\frac{3}{9}$$, $$\\frac{4}{6}$$, $$\\frac{6}{8}$$ and",
    "key_answers": [
      "\\(\\dfrac{8}{12}\\) , \\(\\dfrac{4}{6}\\)",
      "\\(\\dfrac{4}{6}\\) , \\(\\dfrac{8}{12}\\)",
      "\\(\\dfrac{4}{6}\\) , \\(\\dfrac{8}{12}\\)",
      "\\(\\dfrac{4}{6}\\) , \\(\\dfrac{8}{12}\\)"
    ],
    "correct_index": 0,
    "sol_len": 115,
    "sol_preview": "Simplify each: 8/12 = 2/3, 3/9 = 1/3, 4/6 = 2/3, 6/8 = 3/4.Both 8/12 and 4/6 equal 2/3, so they are equivalent.",
    "reason": null
  },
  {
    "index": 12157,
    "id": 23386,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "There are 75 fruits in a box.\\dfrac{1}{5} of the fruits are apples and the rest are oranges.How many oranges are there?",
    "key_answers": [
      "60"
    ],
    "correct_index": null,
    "sol_len": 69,
    "sol_preview": "1/5 of 75 = 75 / 5 = 15 apples.Oranges = 4/5 of 75 = 15 x 4 = 60.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12158,
    "id": 23387,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "At a party, there were 3 times as many boys as girls.There were 30 more boys than girls.How many girls were there?",
    "key_answers": [
      "15"
    ],
    "correct_index": null,
    "sol_len": 116,
    "sol_preview": "Boys = 3 units, girls = 1 unit, so boys are 2 units more than girls.2 units = 30, so 1 unit = 30 / 2 = 15 girls.",
    "reason": null
  },
  {
    "index": 12159,
    "id": 23388,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The table shows the number of students who own a pet.Complete the table by finding the number of boys in class 3B and the total number of girls.Boys in 3B = Total girls =",
    "key_answers": [
      "8",
      "27"
    ],
    "correct_index": null,
    "sol_len": 78,
    "sol_preview": "Boys total is 33: 3B boys = 33 - 9 - 16 = 8.Total girls = 12 + 7 + 8 = 27.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12160,
    "id": 23389,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Mrs Lee is planning a class activity.She has 18 students and wants to divide them into equal groups.Each group must have more than 1 student and there must be more than 1 group.List down 3 possible gr",
    "key_answers": [
      "2",
      "9",
      "3",
      "6"
    ],
    "correct_index": null,
    "sol_len": 215,
    "sol_preview": "18 can be split into equal groups whose factors are both greater than 1: 2 x 9, 3 x 6, and 6 x 3 (also 9 x 2).Any three valid factor pairs are accepted.Key gives: 2 groups of 9, 3 groups of 6, 6 group",
    "reason": null
  },
  {
    "index": 12161,
    "id": 23390,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Ali, Bobby and Calvin had \\$4000 altogether. Ali had \\$1000 more than Bobby. Calvin had \\$300 less than Bobby. How much money did Calvin have?[?]",
    "key_answers": [
      "800"
    ],
    "correct_index": null,
    "sol_len": 290,
    "sol_preview": "Let Bobby = 1 unit.Ali = 1 unit + 1000, Calvin = 1 unit - 300.Total = 3 units + 1000 - 300 = 4000, so 3 units = 4000 - 700 = 3300, 1 unit = 1100.Calvin = 1100 - 300 = \\$800. (The printed answer of 240",
    "reason": null
  },
  {
    "index": 12162,
    "id": 23391,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Mary had some money.She spent \\dfrac{1}{4} of her money on food and \\dfrac{5}{8} of her money on books.She spent \\$24 more on books than food.How much money did she have at first?",
    "key_answers": [
      "64"
    ],
    "correct_index": null,
    "sol_len": 155,
    "sol_preview": "Food = 1/4 = 2/8, books = 5/8.Difference = 5/8 - 2/8 = 3/8 of her money = \\$24, so 1/8 = 24 / 3 = \\$8.Total money = 8/8 = 8 x 8 = \\$64.",
    "reason": null
  },
  {
    "index": 12163,
    "id": 23392,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Cathy and Donna had 465 stickers.After Cathy used \\dfrac{1}{3} of her stickers and Donna used 30 stickers, they had the same number of stickers left.How many stickers did Donna have at first?",
    "key_answers": [
      "204"
    ],
    "correct_index": null,
    "sol_len": 323,
    "sol_preview": "After Donna uses 30, the remaining total = 465 - 30 = 435.Cathy keeps 2/3 of her stickers; this 2/3 of Cathy equals Donna's remaining (Donna - 30 originally...).Using the key method: 435 / 5 = 87 (one",
    "reason": null
  },
  {
    "index": 12164,
    "id": 23393,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "The table shows the favourite colours of some children.Colour: Red, Green, Blue, Black, YellowNumber of children: 12, 9, 13, 3, 6Which colour is liked by twice as many children as those who like the c",
    "key_answers": [
      "Red",
      "Green",
      "Blue",
      "Black"
    ],
    "correct_index": 0,
    "sol_len": 119,
    "sol_preview": "Yellow is liked by 6 children.Twice 6 is 2 \\times 6 = 12.Red is liked by 12 children, so the answer is Red.",
    "reason": null
  },
  {
    "index": 12165,
    "id": 23394,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Express 3\\dfrac{1}{8} as an improper fraction.",
    "key_answers": [
      "\\(\\dfrac{11}{8}\\)",
      "\\(\\dfrac{13}{8}\\)",
      "\\(\\dfrac{25}{8}\\)",
      "\\(\\dfrac{31}{8}\\)"
    ],
    "correct_index": 2,
    "sol_len": 133,
    "sol_preview": "Multiply the whole number by the denominator and add the numerator: 3 \\times 8 + 1 = 25.So 3\\dfrac{1}{8} = \\dfrac{25}{8}.",
    "reason": null
  },
  {
    "index": 12166,
    "id": 23395,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which of the following is not an equivalent fraction of \\dfrac{3}{4}?",
    "key_answers": [
      "\\(\\dfrac{6}{8}\\)",
      "\\(\\dfrac{9}{12}\\)",
      "\\(\\dfrac{13}{14}\\)",
      "\\(\\dfrac{15}{20}\\)"
    ],
    "correct_index": 2,
    "sol_len": 138,
    "sol_preview": "\\dfrac{6}{8}, \\dfrac{9}{12}, \\dfrac{15}{20} all simplify to \\dfrac{3}{4}.\\dfrac{13}{14} does not, so it is not equivalent.",
    "reason": null
  },
  {
    "index": 12167,
    "id": 23396,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Find the difference between \\dfrac{1}{3} and \\dfrac{5}{8}.",
    "key_answers": [
      "\\(\\dfrac{1}{24}\\)",
      "\\(\\dfrac{1}{6}\\)",
      "\\(\\dfrac{1}{4}\\)",
      "\\(\\dfrac{7}{24}\\)"
    ],
    "correct_index": 3,
    "sol_len": 176,
    "sol_preview": "Use a common denominator of 24: \\dfrac{5}{8} = \\dfrac{15}{24} and \\dfrac{1}{3} = \\dfrac{8}{24}.The difference is \\dfrac{15}{24} - \\dfrac{8}{24} = \\dfrac{7}{24}.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12168,
    "id": 23397,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The table shows the number of pupils in two CCAs.Concert Band: 15 girls, 17 boys, total ?Robotics Club: 17 girls, ? boys, total 97How many more boys than girls are there in Robotics Club?",
    "key_answers": [
      "63"
    ],
    "correct_index": null,
    "sol_len": 95,
    "sol_preview": "Number of boys in Robotics Club = 97 - 17 = 80.More boys than girls = 80 - 17 = 63.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12169,
    "id": 23398,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The table shows the number of pupils in two CCAs.Concert Band: 15 girls, 17 boys, total ?Robotics Club: 17 girls, ? boys, total 97How many fewer pupils joined Concert Band than Robotics Club?",
    "key_answers": [
      "65"
    ],
    "correct_index": null,
    "sol_len": 106,
    "sol_preview": "Concert Band total = 17 + 15 = 32 pupils.Robotics Club has 97 pupils.Fewer = 97 - 32 = 65.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12170,
    "id": 23399,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the value of $$\\frac{3}{5} + \\frac{5}{8}$$? Express your answer as a mixed number.",
    "key_answers": [
      "\\(1\\dfrac{9}{40}\\)",
      "\\(1\\dfrac{1}{4}\\)",
      "\\(\\dfrac{48}{40}\\)",
      "\\(\\dfrac{49}{41}\\)"
    ],
    "correct_index": 0,
    "sol_len": 150,
    "sol_preview": "Use a common denominator of 40: \\dfrac{3}{5} = \\dfrac{24}{40} and \\dfrac{5}{8} = \\dfrac{25}{40}.Sum = \\dfrac{49}{40} = 1\\dfrac{9}{40}.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12171,
    "id": 23400,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Use the protractor to measure \\angle DCA.\\angle DCA = °",
    "key_answers": [
      "135"
    ],
    "correct_index": null,
    "sol_len": 166,
    "sol_preview": "Ray CD lies along the 0 degree mark and ray CA points to the 45 degree mark on the inner scale, so measuring from D the angle \\angle DCA = 180 - 45 = 135 degrees.",
    "reason": null
  },
  {
    "index": 12172,
    "id": 23401,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The table shows the number of P4 pupils who took part in different activities at 'Sports Day'.Relay Race: 48, Soccer: 36, Tug-of-war: 52, Volleyball: 64(a) How many pupils took part in the activities?",
    "key_answers": [
      "200",
      "Relay Race"
    ],
    "correct_index": null,
    "sol_len": 180,
    "sol_preview": "(a) Total = 48 + 36 + 52 + 64 = 200 pupils.(b) \\dfrac{3}{4} of Volleyball = 64 \\div 4 = 16, then 16 \\times 3 = 48.The activity with 48 pupils is Relay Race.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12173,
    "id": 23402,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "$$\\frac{3}{8}$$ of counters in a container are red and the rest are blue.(a) What fraction of the counters are blue? (b) There are 34 more blue counters than red counters. How many counters are there ",
    "key_answers": [
      "\\(\\dfrac{5}{8}\\) , 136",
      "136 , \\(\\dfrac{5}{8}\\)",
      "136 , \\(\\dfrac{5}{8}\\)",
      "136 , \\(\\dfrac{5}{8}\\)"
    ],
    "correct_index": 0,
    "sol_len": 211,
    "sol_preview": "(a) Blue = 1 - \\dfrac{3}{8} = \\dfrac{5}{8}.(b) Blue minus red = \\dfrac{5}{8} - \\dfrac{3}{8} = \\dfrac{2}{8}, so 2 units = 34, 1 unit = 17.Total is 8 units = 17 \\times 8 = 136 counters.",
    "reason": null
  },
  {
    "index": 12174,
    "id": 23403,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Rena and Sebastian shared 72 stickers.Rena had \\dfrac{4}{9} of the stickers.(a) How many stickers did Rena have? (b) How many stickers would Sebastian give to Rena so that both had an equal number of ",
    "key_answers": [
      "32",
      "4"
    ],
    "correct_index": null,
    "sol_len": 213,
    "sol_preview": "(a) 9 units = 72, so 1 unit = 8; Rena = 4 \\times 8 = 32 stickers.(b) Sebastian has 72 - 32 = 40.Equal share = 72 \\div 2 = 36, so Sebastian gives 40 - 36 = 4 (i.e. 8 \\div 2 = 4).",
    "reason": null
  },
  {
    "index": 12175,
    "id": 23404,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The line graph shows the number of days with rainfall in Singapore from July to December.(a) How many days of rainfall were there from July to November? (b) There were 107 days of rainfall from July t",
    "key_answers": [
      "80",
      "27"
    ],
    "correct_index": null,
    "sol_len": 147,
    "sol_preview": "(a) From the graph Jul=16, Aug=19, Sep=9, Oct=12, Nov=24.Total = 16 + 19 + 9 + 12 + 24 = 80 days.(b) December = 107 - 80 = 27 days.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12176,
    "id": 23405,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "(a) What is the size of \\angle QRT?(b) Measure \\angle x with a protractor.(a) °(b) °",
    "key_answers": [
      "135",
      "43"
    ],
    "correct_index": null,
    "sol_len": 191,
    "sol_preview": "(a) The arm RT lines up with the 135 mark read from the correct scale of the protractor, so \\angle QRT = 135°.(b) Reading the drawn angle x with a protractor gives \\angle x = 43°.",
    "reason": null
  },
  {
    "index": 12177,
    "id": 23406,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "ABCD is a square.Find \\angle CBE. °",
    "key_answers": [
      "27"
    ],
    "correct_index": null,
    "sol_len": 124,
    "sol_preview": "Each angle of a square is 90°, so \\angle ABC = 90°.The marked angle ABE is 63°, so \\angle CBE = 90° - 63° = 27°.",
    "reason": null
  },
  {
    "index": 12178,
    "id": 23407,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "(a) Round 168.205 to 2 decimal places.(b) Express \\dfrac{3}{25} as a decimal.(a) (b)",
    "key_answers": [
      "168.21",
      "0.12"
    ],
    "correct_index": null,
    "sol_len": 184,
    "sol_preview": "(a) The digit in the 3rd decimal place is 5, so round the 2nd decimal place up: 168.205 \\approx 168.21.(b) Make the denominator 100: \\dfrac{3}{25} = \\dfrac{12}{100} = 0.12.",
    "reason": null
  },
  {
    "index": 12179,
    "id": 23408,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Find the value of 3.9 + 15.72.Round your answer to the nearest tenth.",
    "key_answers": [
      "19.6"
    ],
    "correct_index": null,
    "sol_len": 119,
    "sol_preview": "3.90 + 15.72 = 19.62.The hundredths digit is 2, so it rounds down: 19.62 \\approx 19.6 to the nearest tenth.",
    "reason": null
  },
  {
    "index": 12180,
    "id": 23409,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Name the marked angle.",
    "key_answers": [
      "\\(\\angle LMN\\)",
      "\\(\\angle MLN\\)",
      "\\(\\angle LNO\\)",
      "\\(\\angle MNO\\)"
    ],
    "correct_index": 0,
    "sol_len": 117,
    "sol_preview": "The angle is marked at vertex M, between arms ML and MN, so it is named \\angle LMN (vertex letter in the middle).",
    "reason": null
  },
  {
    "index": 12181,
    "id": 23410,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the product of 6 ones and 72 hundredths?",
    "key_answers": [
      "4.32"
    ],
    "correct_index": null,
    "sol_len": 80,
    "sol_preview": "6 ones = 6 and 72 hundredths = 0.72.The product is 6 \\times 0.72 = 4.32.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12182,
    "id": 23411,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Arrange the following in increasing order.4\\dfrac{3}{4} , 4.90, 4\\dfrac{7}{10} , 4.65 , , , (smallest)",
    "key_answers": [
      "4.65",
      "\\(4\\dfrac{7}{10}\\)",
      "\\(4\\dfrac{3}{4}\\)",
      "4.9"
    ],
    "correct_index": null,
    "sol_len": 196,
    "sol_preview": "Convert all to decimals: 4\\dfrac{3}{4}=4.75, 4.90, 4\\dfrac{7}{10}=4.70, 4.65.In increasing order: 4.65, 4.70, 4.75, 4.90, i.e. 4.65, 4\\dfrac{7}{10}, 4\\dfrac{3}{4}, 4.9.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12183,
    "id": 23412,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "5 identical bags of flour weigh 28.15 kg in total.How much do 8 identical bags of flour weigh? kg",
    "key_answers": [
      "45.04"
    ],
    "correct_index": null,
    "sol_len": 77,
    "sol_preview": "1 bag = 28.15 \\div 5 = 5.63 kg.8 bags = 5.63 \\times 8 = 45.04 kg.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12184,
    "id": 23413,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "WXYZ is a rectangle.(a) State whether each statement is true or false.(i) \\angle a is a right angle.(ii) \\angle b is an acute angle.(b) Given that \\angle c = \\angle d, find \\angle c.(a)(i) (a)(ii) (b)",
    "key_answers": [
      "True",
      "False",
      "26"
    ],
    "correct_index": null,
    "sol_len": 371,
    "sol_preview": "(a)(i) \\angle a is the corner of the rectangle at W, which is 90°, so TRUE.(ii) \\angle b is larger than a right angle here, so it is not acute: FALSE.(b) At Z the rectangle corner is 90°.The 38° angle",
    "reason": null
  },
  {
    "index": 12185,
    "id": 23414,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "A tailor used 42.1 m of fabric on Monday.He used 28.62 m more fabric on Monday than on Tuesday.(a) How many metres of fabric did the tailor use on Tuesday?(b) How many metres of fabric did he use alto",
    "key_answers": [
      "13.48",
      "55.58"
    ],
    "correct_index": null,
    "sol_len": 122,
    "sol_preview": "(a) Tuesday = Monday − 28.62 = 42.10 - 28.62 = 13.48 m.(b) Total = Monday + Tuesday = 42.10 + 13.48 = 55.58 m.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12186,
    "id": 23415,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "James had 3 times as much money as Sally at first. When Mrs Lee gave \\$7.20 to James and \\$22.50 to Sally, both James and Sally had the same amount of money.(a) Find the amount of money Sally had at f",
    "key_answers": [
      "7.65",
      "22.95"
    ],
    "correct_index": null,
    "sol_len": 303,
    "sol_preview": "Let Sally = 1 unit, James = 3 units.After: Sally has 1u + \\$22.50, James has 3u + \\$7.20, and they are equal.So 3u + 7.20 = 1u + 22.50, giving 2u = 22.50 − 7.20 = \\$15.30. (a) Sally at first = 1u = \\$",
    "reason": null
  },
  {
    "index": 12187,
    "id": 23416,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "How many one-thirds are there in 5 wholes?",
    "key_answers": [
      "\\(\\dfrac{5}{3}\\)",
      "15",
      "3",
      "\\(\\dfrac{3}{15}\\)"
    ],
    "correct_index": 1,
    "sol_len": 77,
    "sol_preview": "Number of one-thirds in 5 wholes = 5 \\div \\dfrac{1}{3} = 5 \\times 3 = 15.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12188,
    "id": 23417,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which of the following is not true about both squares and rectangles?",
    "key_answers": [
      "All the angles in each shape add up to 360°.",
      "All the opposite sides are parallel.",
      "All the opposite sides are equal.",
      "All the sides are equal."
    ],
    "correct_index": 3,
    "sol_len": 200,
    "sol_preview": "A rectangle has its two pairs of opposite sides equal but not all four sides equal, so 'All the sides are equal' is true only for squares, not both shapes.The other three statements hold for both.",
    "reason": null
  },
  {
    "index": 12189,
    "id": 23418,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Name the angle marked f, inside the 4-sided figure.",
    "key_answers": [
      "∠SRQ",
      "∠RQP",
      "∠QPR",
      "∠PSR"
    ],
    "correct_index": 3,
    "sol_len": 156,
    "sol_preview": "Angle f is at vertex S, between sides SP and SR, so it is ∠PSR (equivalently ∠RSP).The vertex letter must be in the middle of the three-letter name.",
    "reason": null
  },
  {
    "index": 12190,
    "id": 23419,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "A bag of flour has a mass of \\dfrac{3}{4} kg.The bag of flour is \\dfrac{1}{8} kg heavier than a bag of sugar.What is the total mass of the two bags?",
    "key_answers": [
      "\\(\\dfrac{5}{8}\\) \\(kg\\)",
      "\\(\\dfrac{7}{8}\\) \\(kg\\)",
      "\\(1\\dfrac{3}{8}\\) \\(kg\\)",
      "\\(1\\dfrac{5}{8}\\) \\(kg\\)"
    ],
    "correct_index": 2,
    "sol_len": 197,
    "sol_preview": "Sugar = \\dfrac{3}{4} - \\dfrac{1}{8} = \\dfrac{6}{8} - \\dfrac{1}{8} = \\dfrac{5}{8} kg.Total = \\dfrac{3}{4} + \\dfrac{5}{8} = \\dfrac{6}{8} + \\dfrac{5}{8} = \\dfrac{11}{8} = 1\\dfrac{3}{8} kg.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12191,
    "id": 23420,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "There are 72 black and white buttons in a box.\\dfrac{5}{6} of them are white buttons and the rest are black buttons.How many more white than black buttons are there?",
    "key_answers": [
      "12",
      "24",
      "48",
      "60"
    ],
    "correct_index": 2,
    "sol_len": 114,
    "sol_preview": "White = \\dfrac{5}{6} \\times 72 = 60.Black = 72 - 60 = 12.More white than black = 60 - 12 = 48.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12192,
    "id": 23421,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the mixed number represented by the letter A on the number line?",
    "key_answers": [
      "\\(3\\dfrac{4}{5}\\)",
      "4",
      "\\(\\dfrac{18}{5}\\)",
      "\\(\\dfrac{19}{6}\\)"
    ],
    "correct_index": 0,
    "sol_len": 117,
    "sol_preview": "Each unit from 3 to 4 is divided into 5 equal parts.A points to the 4th mark after 3, which is 3\\dfrac{4}{5}.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12193,
    "id": 23422,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Find the value of $$\\frac{1}{3} + \\frac{1}{9}$$.",
    "key_answers": [
      "\\(\\dfrac{4}{9}\\)",
      "\\(\\dfrac{5}{9}\\)",
      "\\(\\dfrac{3}{9}\\)",
      "\\(\\dfrac{4}{10}\\)"
    ],
    "correct_index": 0,
    "sol_len": 77,
    "sol_preview": "\\dfrac{1}{3} + \\dfrac{1}{9} = \\dfrac{3}{9} + \\dfrac{1}{9} = \\dfrac{4}{9}.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12194,
    "id": 23423,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Mr Pang sold some packets of sugar and 24 packets of salt.\\dfrac{4}{7} of the total packets sold were sugar.How many packets of sugar were sold?",
    "key_answers": [
      "32"
    ],
    "correct_index": null,
    "sol_len": 179,
    "sol_preview": "Sugar is \\dfrac{4}{7} of the total, so salt is \\dfrac{3}{7} of the total.3 units = 24, so 1 unit = 24 \\div 3 = 8.Sugar = 4 units = 8 \\times 4 = 32 packets.",
    "reason": null
  },
  {
    "index": 12195,
    "id": 23424,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Measure and write down the size of \\angle y in the triangle.°",
    "key_answers": [
      "37"
    ],
    "correct_index": null,
    "sol_len": 108,
    "sol_preview": "Using a protractor to measure the angle marked y at the right-hand vertex of the triangle gives 37°.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12196,
    "id": 23425,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "WXYZ is a square.\\angle n is twice that of \\angle p.Find \\angle n.°",
    "key_answers": [
      "60"
    ],
    "correct_index": null,
    "sol_len": 233,
    "sol_preview": "The corner of the square at Z is a right angle, so \\angle n + \\angle p = 90°.Since \\angle n = 2 \\times \\angle p, there are 3 units = 90°, so 1 unit = 90 \\div 3 = 30°.\\angle n = 2 units = 30 \\times 2 =",
    "reason": null
  },
  {
    "index": 12197,
    "id": 23426,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Gabby gave \\dfrac{5}{8} of her stickers to Hani and \\dfrac{1}{4} of them to Ivy.Ivy received 12 fewer stickers than Hani.How many stickers did Gabby have at first?",
    "key_answers": [
      "32"
    ],
    "correct_index": null,
    "sol_len": 264,
    "sol_preview": "Hani got \\dfrac{5}{8} and Ivy got \\dfrac{1}{4} = \\dfrac{2}{8}.The difference is \\dfrac{5}{8} - \\dfrac{2}{8} = \\dfrac{3}{8}, which equals 12 stickers.So 3 units = 12, 1 unit = 12 \\div 3 = 4.Total = 8 u",
    "reason": null
  },
  {
    "index": 12198,
    "id": 23427,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Mrs Goh had some tea. She poured $$\\frac{2}{5}$$ $$\\ell$$ of it into a jug. She then poured the remaining amount of tea into 2 equal cups. Each cup contained $$\\frac{3}{10}$$ $$\\ell$$ less amount of t",
    "key_answers": [
      "\\(\\dfrac{1}{10}\\) , \\(\\dfrac{3}{5}\\)",
      "\\(\\dfrac{3}{5}\\) , \\(\\dfrac{1}{10}\\)",
      "\\(\\dfrac{3}{5}\\) , \\(\\dfrac{1}{10}\\)",
      "\\(\\dfrac{3}{5}\\) , \\(\\dfrac{1}{10}\\)"
    ],
    "correct_index": 0,
    "sol_len": 285,
    "sol_preview": "(a) Each cup = jug − \\dfrac{3}{10} = \\dfrac{2}{5} - \\dfrac{3}{10} = \\dfrac{4}{10} - \\dfrac{3}{10} = \\dfrac{1}{10} ℓ.(b) Total = jug + 2 cups = \\dfrac{2}{5} + \\dfrac{1}{10} + \\dfrac{1}{10} = \\dfrac{4}{",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12199,
    "id": 23428,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Write twenty-seven thousand, three hundred and nine in numerals. [?]",
    "key_answers": [
      "27309"
    ],
    "correct_index": null,
    "sol_len": 98,
    "sol_preview": "Twenty-seven thousand = 27000, three hundred = 300, nine = 9.Combine: 27000 + 300 + 9 = 27309.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12200,
    "id": 23429,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Round 10 247 to the nearest ten. [?]",
    "key_answers": [
      "10250"
    ],
    "correct_index": null,
    "sol_len": 117,
    "sol_preview": "Look at the ones digit of 10247, which is 7.Since 7 is 5 or more, round the tens digit up: 10247 rounds to 10250.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12201,
    "id": 23430,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Write down the common factors of 15 and 20. [?] , [?]",
    "key_answers": [
      "1",
      "5"
    ],
    "correct_index": null,
    "sol_len": 100,
    "sol_preview": "Factors of 15: 1, 3, 5, 15.Factors of 20: 1, 2, 4, 5, 10, 20.The common factors are 1 and 5.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12202,
    "id": 23431,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Arrange the following fractions from the smallest to the greatest.$$\\frac{1}{3}$$ $$\\frac{1}{10}$$ $$\\frac{1}{6}$$",
    "key_answers": [
      "\\(\\dfrac{1}{10}\\) , \\(\\dfrac{1}{6}\\) , \\(\\dfrac{1}{3}\\)",
      "\\(\\dfrac{1}{3}\\) , \\(\\dfrac{1}{6}\\) , \\(\\dfrac{1}{10}\\)",
      "\\(\\dfrac{1}{6}\\) , \\(\\dfrac{1}{3}\\) , \\(\\dfrac{1}{10}\\)",
      "\\(\\dfrac{1}{10}\\) , \\(\\dfrac{1}{3}\\) , \\(\\dfrac{1}{6}\\)"
    ],
    "correct_index": 0,
    "sol_len": 189,
    "sol_preview": "For unit fractions, the larger the denominator, the smaller the fraction.Denominators are 3, 10, 6.From smallest to greatest fraction: 1/10 (denom 10), 1/6 (denom 6), 1/3 (denom 3).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12203,
    "id": 23432,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the remainder when 5840 is divided by 7? [?]",
    "key_answers": [
      "2"
    ],
    "correct_index": null,
    "sol_len": 115,
    "sol_preview": "5840 \\div 7 = 834 with a remainder.834 \\times 7 = 5838, and 5840 - 5838 = 2.The remainder is 2.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12204,
    "id": 23433,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "$$\\frac{1}{2} - \\frac{3}{8} =$$",
    "key_answers": [
      "\\(\\dfrac{1}{8}\\)",
      "\\(\\dfrac{1}{4}\\)",
      "\\(\\dfrac{7}{8}\\)",
      "\\(\\dfrac{1}{9}\\)"
    ],
    "correct_index": 0,
    "sol_len": 120,
    "sol_preview": "Make the denominators the same: \\dfrac{1}{2} = \\dfrac{4}{8}.Then \\dfrac{4}{8} - \\dfrac{3}{8} = \\dfrac{1}{8}.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12205,
    "id": 23434,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "What is the missing number in the box?\\dfrac{1}{3} = \\dfrac{}{12}",
    "key_answers": [
      "4"
    ],
    "correct_index": null,
    "sol_len": 153,
    "sol_preview": "To change the denominator from 3 to 12, multiply by 4.Multiply the numerator by the same: 1 \\times 4 = 4.So \\dfrac{1}{3} = \\dfrac{4}{12}.",
    "reason": null
  },
  {
    "index": 12206,
    "id": 23435,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the mass of the 4 iron bars? Express your answer in $$g$$. [?]",
    "key_answers": [
      "1700"
    ],
    "correct_index": null,
    "sol_len": 114,
    "sol_preview": "The scale pointer is between 1 kg and 2 kg, reading 1.7 kg (1 kg 700 g).Convert to grams: 1 kg 700 g = 1700 g.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12207,
    "id": 23436,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Find the perimeter of the figure. [?]",
    "key_answers": [
      "36"
    ],
    "correct_index": null,
    "sol_len": 150,
    "sol_preview": "The figure is an irregular quadrilateral with sides 7 cm (top), 13 cm (right), 6 cm (bottom) and 10 cm (left).Perimeter = 7 + 13 + 6 + 10 = 36 cm.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12208,
    "id": 23437,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The table shows the number of participants who signed up for an upcycling workshop from 5 different classes.Which class has twice the number of participants as Class 4B?[?]",
    "key_answers": [
      "4E"
    ],
    "correct_index": null,
    "sol_len": 114,
    "sol_preview": "Class 4B has 18 participants.Twice 18 = 18 \\times 2 = 36.From the table, Class 4E has 36 participants.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12209,
    "id": 23438,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "A number is a multiple of 9 and a factor of 6.It is between 60 and 80.What is the number?[?]",
    "key_answers": [
      "72"
    ],
    "correct_index": null,
    "sol_len": 207,
    "sol_preview": "Multiples of 9 between 60 and 80: 63 and 72.The number must also be a multiple of 6.63 \\div 6 = 10 remainder 3 (not a multiple of 6); 72 \\div 6 = 12 (a multiple of 6).So the number is 72.",
    "reason": null
  },
  {
    "index": 12210,
    "id": 23439,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The sum of two numbers is 7390.The greater number is 4 times the smaller number.What is the greater number?[?]",
    "key_answers": [
      "5912"
    ],
    "correct_index": null,
    "sol_len": 177,
    "sol_preview": "Let the smaller number be 1 unit; the greater is 4 units.Together 5 units = 7390.1 unit = 7390 \\div 5 = 1478.Greater number = 4 units = 1478 \\times 4 = 5912.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12211,
    "id": 23440,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The starting and ending times for a movie are shown. How long was the movie? Express your answer in hours and minutes. [?] , [?]",
    "key_answers": [
      "2",
      "25"
    ],
    "correct_index": null,
    "sol_len": 182,
    "sol_preview": "Start clock reads 1:30 and end clock reads 3:55.From 1:30 to 2:00 is 30 min; from 2:00 to 3:00 is 1 h; from 3:00 to 3:55 is 55 min.Total = 30 min + 1 h + 55 min = 2 h 25 min.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12212,
    "id": 23441,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "The figure is made up of 6 identical rectangles. Find the length of $$X$$. [?]",
    "key_answers": [
      "18"
    ],
    "correct_index": null,
    "sol_len": 349,
    "sol_preview": "The total width is 44 m and the right portion is 9 m, so the marked '?' length = 44 - 9 = 35 m...Using the 6 identical rectangles, the long side of one rectangle + short side relate to the given dimen",
    "reason": null
  },
  {
    "index": 12213,
    "id": 23442,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "A piece of rectangular paper was folded to form the shape shown. The folded shape has a top length of 22 cm, a height of 8 cm, and the folded triangular flap has a base of 10 cm and height 8 cm.(a) Fi",
    "key_answers": [
      "100",
      "400"
    ],
    "correct_index": null,
    "sol_len": 267,
    "sol_preview": "When unfolded, the rectangle's length is the visible 22 cm plus the folded-over part.The folded flap adds 10 cm + 8 cm to the length: 22 + 10 + 8 = 40 cm; width = 10 cm.(a) Perimeter = 40 + 10 + 40 + ",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12214,
    "id": 23443,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Xavier, Yusof and Zachary scored a total of 561 points in a game.Xavier scored 93 more than Yusof.Zachary scored twice the total number of points Xavier and Yusof scored.How many points did Xavier sco",
    "key_answers": [
      "140"
    ],
    "correct_index": null,
    "sol_len": 220,
    "sol_preview": "Let Xavier + Yusof = 1 unit.Zachary = 2 units.Total = 3 units = 561, so 1 unit = 561 \\div 3 = 187 (Xavier + Yusof).Xavier is 93 more than Yusof: Yusof = (187 - 93) \\div 2 = 47, Xavier = 47 + 93 = 140.",
    "reason": null
  },
  {
    "index": 12215,
    "id": 23444,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Aisyah sold some cupcakes at a carnival. For every 30 cupcakes sold, she would donate \\$5 to a charity. In the end, Aisyah donated \\$80 to the charity.(a) How many cupcakes did Aisyah sell?(b) Aisyah ",
    "key_answers": [
      "480",
      "1360"
    ],
    "correct_index": null,
    "sol_len": 210,
    "sol_preview": "(a) \\$80 donated at \\$5 per 30 cupcakes: 80 \\div 5 = 16 sets, 16 \\times 30 = 480 cupcakes.(b) Sales = 480 \\times \\$3 = \\$1440.After donating \\$80: 1440 - 80 = \\$1360.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12216,
    "id": 23445,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Express the shaded part of the figure as an improper fraction.",
    "key_answers": [
      "\\(\\dfrac{27}{8}\\)",
      "\\(\\dfrac{29}{8}\\)",
      "\\(3\\dfrac{3}{8}\\)",
      "\\(3\\dfrac{5}{8}\\)"
    ],
    "correct_index": 1,
    "sol_len": 198,
    "sol_preview": "Three whole circles are fully shaded and the fourth circle has 5 of its 8 parts shaded.Total = 3\\dfrac{5}{8} = \\dfrac{3\\times8+5}{8} = \\dfrac{29}{8}.Answer: \\dfrac{29}{8} (option 2).",
    "reason": null
  },
  {
    "index": 12217,
    "id": 23446,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "What is the mixed number represented by the letter A on the number line?",
    "key_answers": [
      "\\(\\dfrac{8}{5}\\)",
      "\\(\\dfrac{23}{5}\\)",
      "\\(4\\dfrac{3}{5}\\)",
      "\\(4\\dfrac{4}{6}\\)"
    ],
    "correct_index": 2,
    "sol_len": 166,
    "sol_preview": "Between 4 and 5 the number line is divided into 5 equal parts, so each part is \\dfrac{1}{5}.A is at the 3rd mark after 4, giving 4\\dfrac{3}{5} (option 3).",
    "reason": null
  },
  {
    "index": 12218,
    "id": 23447,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Arrange the fractions in increasing order.\\dfrac{15}{7}, 1\\dfrac{4}{9}, \\dfrac{5}{3}",
    "key_answers": [
      "\\(1\\dfrac{4}{9}\\), \\(\\dfrac{15}{7}\\), \\(\\dfrac{5}{3}\\)",
      "\\(1\\dfrac{4}{9}\\), \\(\\dfrac{5}{3}\\), \\(\\dfrac{15}{7}\\)",
      "\\(\\dfrac{15}{7}\\), \\(\\dfrac{5}{3}\\), \\(1\\dfrac{4}{9}\\)",
      "\\(\\dfrac{5}{3}\\), \\(\\dfrac{15}{7}\\), \\(1\\dfrac{4}{9}\\)"
    ],
    "correct_index": 1,
    "sol_len": 197,
    "sol_preview": "Convert to decimals: 1\\dfrac{4}{9}\\approx1.44, \\dfrac{5}{3}\\approx1.67, \\dfrac{15}{7}\\approx2.14.Increasing order: 1\\dfrac{4}{9}, \\dfrac{5}{3}, \\dfrac{15}{7} (option 2).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12219,
    "id": 23448,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "There are a total of 40 students in Class 4A.The table shows the number of students who wear glasses in Class 4A.What is the number of girls in 4A who wear glasses?",
    "key_answers": [
      "8",
      "9",
      "10",
      "19"
    ],
    "correct_index": 0,
    "sol_len": 125,
    "sol_preview": "Total girls = 40 − 21 (boys) = 19.Girls who do not wear glasses = 11, so girls who wear glasses = 19 − 11 = 8 (option 1).",
    "reason": null
  },
  {
    "index": 12220,
    "id": 23449,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "How many more hearts need to be shaded so that \\dfrac{2}{3} of the set of hearts is shaded?",
    "key_answers": [
      "7",
      "2",
      "3",
      "10"
    ],
    "correct_index": 0,
    "sol_len": 147,
    "sol_preview": "There are 15 hearts.\\dfrac{2}{3}\\times15 = 10 hearts must be shaded.3 are already shaded, so 10 - 3 = 7 more are needed (option 1).",
    "reason": null
  },
  {
    "index": 12221,
    "id": 23450,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Ms Lim is planning for a class party.She wants to buy enough pizza such that each of her 35 students can have \\dfrac{1}{6} of a pizza.The shop only sells whole pizza.What is the least number of whole ",
    "key_answers": [
      "5",
      "6",
      "7",
      "4"
    ],
    "correct_index": 1,
    "sol_len": 148,
    "sol_preview": "Total pizza needed = 35\\times\\dfrac{1}{6} = \\dfrac{35}{6} = 5\\dfrac{5}{6} pizzas.Since only whole pizzas are sold, round up to 6 (option 2).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12222,
    "id": 23451,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "(a) Express $$\\frac{22}{4}$$ as a mixed number in its simplest form.(b) $$\\frac{2}{9}$$ of 63",
    "key_answers": [
      "\\(5\\dfrac{1}{2}\\) , 14",
      "14 , \\(5\\dfrac{1}{2}\\)",
      "14 , \\(5\\dfrac{1}{2}\\)",
      "14 , \\(5\\dfrac{1}{2}\\)"
    ],
    "correct_index": 0,
    "sol_len": 126,
    "sol_preview": "(a) \\dfrac{22}{4} = 5\\dfrac{2}{4} = 5\\dfrac{1}{2}.(b) \\dfrac{2}{9} of 63: 63\\div9 = 7, then 7\\times2 = 14.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12223,
    "id": 23452,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Mdm Siti had 5 $$l$$ of orange juice. She drank $$\\frac{3}{8}$$ $$l$$ of orange juice. How much orange juice did she have left?",
    "key_answers": [
      "\\(4\\dfrac{5}{8}\\)",
      "\\(4\\dfrac{3}{4}\\)",
      "\\(\\dfrac{36}{8}\\)",
      "\\(\\dfrac{37}{9}\\)"
    ],
    "correct_index": 0,
    "sol_len": 75,
    "sol_preview": "5 - \\dfrac{3}{8} = 4\\dfrac{8}{8} - \\dfrac{3}{8} = 4\\dfrac{5}{8} litres.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12224,
    "id": 23453,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The line graph shows the hourly sales at a coffee stall on a Monday over 3 hours.What is the total amount of sales from 5 pm to 7 pm? $",
    "key_answers": [
      "900"
    ],
    "correct_index": null,
    "sol_len": 115,
    "sol_preview": "From the graph: 5 pm = \\$140, 6 pm = \\$400, 7 pm = \\$360.Total = 140 + 400 + 360 = 900 dollars.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12225,
    "id": 23454,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "The bar graph shows the number of boys and girls in Class 4A.There are 15 more girls than boys in Class 4A.What is the total number of students in Class 4A?",
    "key_answers": [
      "39"
    ],
    "correct_index": null,
    "sol_len": 205,
    "sol_preview": "From the bar graph the boys bar is 2 units and the girls bar is 7 units, a difference of 5 units = 15, so 1 unit = 3 students.Boys = 2×6 = 12 and girls = 12 + 15 = 27.Total = 12 + 27 = 39 students.",
    "reason": null
  },
  {
    "index": 12226,
    "id": 23455,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The line graph shows the mass of recyclables collected from Primary 4 classes over 5 months.(a) Which month had the least mass of recyclables collected? (b) During which 1-month period was the increas",
    "key_answers": [
      "February",
      "April",
      "May"
    ],
    "correct_index": null,
    "sol_len": 175,
    "sol_preview": "(a) The lowest point on the line graph is at February (about 45 kg).(b) The steepest upward segment is from April (~90 kg) to May (~135 kg), the greatest 1-month increase.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12227,
    "id": 23456,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Alice jogs $$\\frac{3}{4}$$ $$km$$ at a park. She walks $$\\frac{5}{12}$$ $$km$$ less than the distance she jogs. What is the total distance she jogs and walks?",
    "key_answers": [
      "\\(1\\dfrac{1}{12}\\)",
      "\\(1\\dfrac{1}{6}\\)",
      "\\(\\dfrac{12}{12}\\)",
      "\\(1\\dfrac{7}{12}\\)"
    ],
    "correct_index": 0,
    "sol_len": 205,
    "sol_preview": "Walk = \\dfrac{3}{4} - \\dfrac{5}{12} = \\dfrac{9}{12} - \\dfrac{5}{12} = \\dfrac{4}{12} km.Total = \\dfrac{3}{4} + \\dfrac{4}{12} = \\dfrac{9}{12} + \\dfrac{4}{12} = \\dfrac{13}{12} = 1\\dfrac{1}{12} km.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12228,
    "id": 23457,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "A box is filled with some balls.\\dfrac{4}{11} of the balls are yellow and the rest of the balls are red.There are 42 more red balls than yellow balls.How many balls are there in the box altogether?",
    "key_answers": [
      "154"
    ],
    "correct_index": null,
    "sol_len": 138,
    "sol_preview": "Yellow = 4 units, red = 11 − 4 = 7 units.Difference = 7 − 4 = 3 units = 42, so 1 unit = 14.Total = 11 units = 14 × 11 = 154 balls.",
    "reason": null
  },
  {
    "index": 12229,
    "id": 23458,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which of the following shows \\dfrac{1}{3} of the shapes shaded?",
    "key_answers": [
      "Figure 1",
      "Figure 2",
      "Figure 3",
      "Figure 4"
    ],
    "correct_index": 2,
    "sol_len": 246,
    "sol_preview": "Method: a figure shows \\dfrac{1}{3} shaded when the number of shaded parts is one third of the total equal parts.Figure 3 is a 2-by-3 grid of 6 equal cells with 2 cells shaded, and \\dfrac{2}{6}=\\dfrac",
    "reason": null
  },
  {
    "index": 12230,
    "id": 23459,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "The table shows the number of candies sold in a supermarket.Find the number of sweets sold on Saturday.",
    "key_answers": [
      "527",
      "952",
      "1205",
      "1303"
    ],
    "correct_index": 0,
    "sol_len": 156,
    "sol_preview": "Method: Saturday total = sweets + lollipops + chocolates.So sweets = total minus the other two.1830-425-878=527.The answer is option 1, 527.",
    "reason": null
  },
  {
    "index": 12231,
    "id": 23460,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "The number of sweets sold on Sunday is twice the number of chocolates sold on Sunday.How many chocolates were sold on Sunday?",
    "key_answers": [
      "120",
      "160",
      "320",
      "480"
    ],
    "correct_index": 1,
    "sol_len": 233,
    "sol_preview": "Method: Sunday sweets + chocolates = total minus lollipops = 1150-670=480.Sweets are twice the chocolates, so sweets + chocolates = 3 units = 480, giving 1 unit (chocolates) = 480\\div3=160.The answer ",
    "reason": null
  },
  {
    "index": 12232,
    "id": 23461,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The line graph shows the number of stickers sold over 4 months.Find the difference between the number of stickers sold in March and April.[?]",
    "key_answers": [
      "28"
    ],
    "correct_index": null,
    "sol_len": 120,
    "sol_preview": "Method: read both values from the line graph.March = 20 stickers, April = 48 stickers.Difference = 48-20=28.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12233,
    "id": 23462,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Lucy had \\$954. She spent $$\\frac{5}{9}$$ of her money to buy a pair of shoes. How much had she left after buying the pair of shoes? [?]",
    "key_answers": [
      "424"
    ],
    "correct_index": null,
    "sol_len": 230,
    "sol_preview": "Method: the money is 9 equal units.She spent \\dfrac{5}{9}, so \\dfrac{4}{9} is left.9 units = \\$954, so 1 unit = 954\\div9=106... using the unitary method 4 units left = \\$424.The answer is \\$424.",
    "reason": null
  },
  {
    "index": 12234,
    "id": 23463,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Bag A weighs \\dfrac{1}{4} kg.Bag B weighs \\dfrac{3}{5} kg.Bag C weighs \\dfrac{5}{8} kg.(a) Which 2 bags, when added together, will be heavier than 1 kg? Answer: Bag and Bag (b) Muthu puts a laptop int",
    "key_answers": [
      "B",
      "C",
      "\\(2\\dfrac{2}{5}\\)"
    ],
    "correct_index": null,
    "sol_len": 279,
    "sol_preview": "(a) Check each pair against 1 kg.Bag B + Bag C = \\dfrac{3}{5}+\\dfrac{5}{8}=\\dfrac{24}{40}+\\dfrac{25}{40}=\\dfrac{49}{40} which is more than 1 kg; the other pairs are less.So Bag B and Bag C.(b) Laptop ",
    "reason": null
  },
  {
    "index": 12235,
    "id": 23464,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Ali drank $$\\frac{7}{10}$$ $$\\ell$$ of water. He drank $$\\frac{1}{5}$$ $$\\ell$$ of water more than Harry. How much water did Ali and Harry drink in total? Give your answer as a mixed number.",
    "key_answers": [
      "\\(1\\dfrac{1}{5}\\)",
      "\\(1\\dfrac{2}{5}\\)",
      "\\(\\dfrac{5}{5}\\)",
      "\\(1\\dfrac{7}{10}\\)"
    ],
    "correct_index": 0,
    "sol_len": 186,
    "sol_preview": "Method: Harry = Ali minus \\dfrac{1}{5} = \\dfrac{7}{10}-\\dfrac{2}{10}=\\dfrac{5}{10}.Total = Ali + Harry = \\dfrac{7}{10}+\\dfrac{5}{10}=\\dfrac{12}{10}=1\\dfrac{2}{10} litres.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12236,
    "id": 23465,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Jim had 3 pieces of rope. Rope A is the longest. Its length is $$\\frac{9}{10}$$ m. The difference between the lengths of Rope A and Rope B is $$\\frac{3}{4}$$ m.(a) What is the length of Rope B, in m? ",
    "key_answers": [
      "\\(\\dfrac{3}{20}\\) , \\(\\dfrac{13}{20}\\)",
      "\\(\\dfrac{13}{20}\\) , \\(\\dfrac{3}{20}\\)",
      "\\(\\dfrac{13}{20}\\) , \\(\\dfrac{3}{20}\\)",
      "\\(\\dfrac{13}{20}\\) , \\(\\dfrac{3}{20}\\)"
    ],
    "correct_index": 0,
    "sol_len": 267,
    "sol_preview": "(a) Rope B = Rope A minus the difference = \\dfrac{9}{10}-\\dfrac{3}{4}=\\dfrac{18}{20}-\\dfrac{15}{20}=\\dfrac{3}{20} m.(b) Rope C is longer than Rope B by \\dfrac{1}{2}, so Rope C = \\dfrac{3}{20}+\\dfrac{1",
    "reason": null
  },
  {
    "index": 12237,
    "id": 23466,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "A fruit seller sold some apples, pears and watermelons. $$\\frac{2}{7}$$ of the fruits sold were pears, $$\\frac{4}{7}$$ of the fruits sold were apples and the rest of the fruits sold were watermelons. ",
    "key_answers": [
      "240",
      "840"
    ],
    "correct_index": null,
    "sol_len": 278,
    "sol_preview": "Method: treat the total as 7 units.Pears = 2 units, apples = 4 units, watermelons = 7-2-4=1 unit.Apples minus watermelons = 4-1=3 units = 360, so 1 unit = 360\\div3=120.(a) Pears = 2 units = 2\\times120",
    "reason": null
  },
  {
    "index": 12238,
    "id": 23467,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which number has the digit 3 in the thousands place?",
    "key_answers": [
      "37 942",
      "54 039",
      "69 382",
      "73 648"
    ],
    "correct_index": 3,
    "sol_len": 191,
    "sol_preview": "The thousands place is the 4th digit from the right.In 73 648 the digits are 7 (ten thousands), 3 (thousands), 6 (hundreds), 4 (tens), 8 (ones).So 73 648 has 3 in the thousands place.",
    "reason": null
  },
  {
    "index": 12239,
    "id": 23468,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which of the following is not an equivalent fraction of \\dfrac{1}{4}?",
    "key_answers": [
      "\\(\\dfrac{2}{8}\\)",
      "\\(\\dfrac{3}{12}\\)",
      "\\(\\dfrac{4}{12}\\)",
      "\\(\\dfrac{5}{20}\\)"
    ],
    "correct_index": 2,
    "sol_len": 180,
    "sol_preview": "Equivalent fractions of 1/4: multiply top and bottom by the same number.2/8 (x2), 3/12 (x3), 5/20 (x5) all equal 1/4.But 4/12 = 1/3, not 1/4.So 4/12 is the odd one out.",
    "reason": null
  },
  {
    "index": 12240,
    "id": 23469,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "Which of the following decimals is the greatest?",
    "key_answers": [
      "0.030",
      "0.42",
      "0.176",
      "0.234"
    ],
    "correct_index": 1,
    "sol_len": 160,
    "sol_preview": "Compare the tenths digit first: 0.030 (0 tenths), 0.42 (4 tenths), 0.176 (1 tenth), 0.234 (2 tenths).The largest tenths value is 4, so 0.42 is the greatest.",
    "reason": null
  },
  {
    "index": 12241,
    "id": 23470,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "At a carnival, every 6th participant receives a cup of drink and every 8th participant receives a key chain.Which is the first participant to receive both a cup of drink and a key chain?",
    "key_answers": [
      "24th",
      "36th",
      "48th",
      "72nd"
    ],
    "correct_index": 0,
    "sol_len": 189,
    "sol_preview": "Find the lowest common multiple of 6 and 8.Multiples of 6: 6, 12, 18, 24...Multiples of 8: 8, 16, 24...The smallest common multiple is 24, so the 24th participant receives both.",
    "reason": null
  },
  {
    "index": 12242,
    "id": 23471,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Arrange the following from the greatest to the smallest.$$1\\frac{1}{9}$$, $$\\frac{4}{5}$$, $$\\frac{7}{6}$$Greatest: , , :Smallest",
    "key_answers": [
      "\\(\\dfrac{7}{6}\\) , \\(1\\dfrac{1}{9}\\) , \\(\\dfrac{4}{5}\\)",
      "\\(\\dfrac{4}{5}\\) , \\(1\\dfrac{1}{9}\\) , \\(\\dfrac{7}{6}\\)",
      "\\(1\\dfrac{1}{9}\\) , \\(\\dfrac{4}{5}\\) , \\(\\dfrac{7}{6}\\)",
      "\\(\\dfrac{7}{6}\\) , \\(\\dfrac{4}{5}\\) , \\(1\\dfrac{1}{9}\\)"
    ],
    "correct_index": 0,
    "sol_len": 132,
    "sol_preview": "Convert to decimals: 1 1/9 = 1.11, 4/5 = 0.8, 7/6 = 1.166...Ordering greatest to smallest: 7/6 (1.166), 1 1/9 (1.11), 4/5 (0.8).",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12243,
    "id": 23472,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "A shop sells bottled drinks at \\$2.50 each. Now, the shop is having a special offer for the bottled drinks: 2 bottles for \\$4.60. Mrs Ho needs to buy 7 bottles of drinks. What is the least amount of m",
    "key_answers": [
      "$15.30",
      "$16.10",
      "$16.30",
      "$17.50"
    ],
    "correct_index": 2,
    "sol_len": 244,
    "sol_preview": "The offer (2 for \\$4.60) is cheaper than 2 single bottles (\\$5.00).Buy 3 pairs (6 bottles) at the offer: 3 x \\$4.60 = \\$13.80.The 7th bottle is bought singly at \\$2.50. Total = \\$13.80 + \\$2.50 = \\$16",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12244,
    "id": 23473,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Use all the digits 5, 2, 7, 0, 4 to form(a) the largest 5-digit number (b) the smallest 5-digit even number",
    "key_answers": [
      "75420",
      "20574"
    ],
    "correct_index": null,
    "sol_len": 263,
    "sol_preview": "(a) Largest: arrange digits from greatest to least: 7, 5, 4, 2, 0 = 75420.(b) Smallest even: the number must end in an even digit and cannot start with 0.Smallest leading digit is 2, then smallest rem",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12245,
    "id": 23474,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "What is the value of $$\\frac{5}{6}+\\frac{2}{3}$$? Express your answer as a mixed number.",
    "key_answers": [
      "\\(1\\dfrac{1}{2}\\)",
      "2",
      "\\(\\dfrac{2}{2}\\)",
      "\\(2\\dfrac{1}{2}\\)"
    ],
    "correct_index": 0,
    "sol_len": 104,
    "sol_preview": "Make denominators the same: 2/3 = 4/6.Then 5/6 + 4/6 = 9/6 = 3/2.As a mixed number, 3/2 = 1 1/2.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12246,
    "id": 23475,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "What is the value of 4 \\div 7? Correct your answer to 1 decimal place.",
    "key_answers": [
      "0.6"
    ],
    "correct_index": null,
    "sol_len": 127,
    "sol_preview": "4 / 7 = 0.5714...To 1 decimal place, look at the second decimal digit (7), which rounds up.So 0.57...rounds to 0.6.",
    "reason": null
  },
  {
    "index": 12247,
    "id": 23476,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "The table shows the number of times Primary Four students in a school jog in a week.Number of times jogged in a week: 1, 2, 3, 4, 5Number of students: 61, 50, 42, 75, 80How many students jogged more t",
    "key_answers": [
      "197"
    ],
    "correct_index": null,
    "sol_len": 89,
    "sol_preview": "More than 2 times means 3, 4 or 5 times.Add those student counts: 42 + 75 + 80 = 197.",
    "reason": null
  },
  {
    "index": 12248,
    "id": 23477,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Tina baked some cookies.She gave \\dfrac{3}{10} of the cookies to her neighbour and had 84 cookies left.How many cookies did she give to her neighbour?",
    "key_answers": [
      "36"
    ],
    "correct_index": null,
    "sol_len": 122,
    "sol_preview": "She gave 3/10, so the 84 left represent the remaining 7/10.1/10 = 84 / 7 = 12.She gave 3/10 = 3 x 12 = 36 cookies.",
    "reason": null
  },
  {
    "index": 12249,
    "id": 23478,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "\\dfrac{13}{25}=0.5+",
    "key_answers": [
      "0.02"
    ],
    "correct_index": null,
    "sol_len": 109,
    "sol_preview": "Convert 13/25 to a decimal: 13/25 = 52/100 = 0.52.Then 0.52 = 0.5 + 0.02, so the missing decimal is 0.02.",
    "reason": null
  },
  {
    "index": 12250,
    "id": 23479,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Joseph had 1378 marbles and Kumar had 1490 marbles.Kumar gave some marbles to Joseph.In the end Joseph had twice as many marbles as Kumar.(a) How many marbles did Kumar have in the end? (b) How many m",
    "key_answers": [
      "956",
      "534"
    ],
    "correct_index": null,
    "sol_len": 224,
    "sol_preview": "Total marbles stay the same: 1378 + 1490 = 2868.In the end Joseph = twice Kumar, so they share into 3 equal parts.(a) Kumar's end = 2868 / 3 = 956.(b) Kumar gave away = his start minus his end = 1490 ",
    "reason": null
  },
  {
    "index": 12251,
    "id": 23480,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Amy read \\dfrac{1}{4} of a book on Saturday, \\dfrac{1}{8} of the book on Sunday and the remaining pages on Monday.She read 72 fewer pages on Saturday than on Monday.How many pages were there in the bo",
    "key_answers": [
      "192"
    ],
    "correct_index": null,
    "sol_len": 239,
    "sol_preview": "Saturday = 1/4 = 2/8, Sunday = 1/8.Together = 3/8, so Monday = 8/8 - 3/8 = 5/8.Difference between Monday and Saturday = 5/8 - 2/8 = 3/8, which equals 72 pages.So 1/8 = 72 / 3 = 24, and the whole book ",
    "reason": null
  },
  {
    "index": 12252,
    "id": 23481,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Round 25 571 to the nearest hundred. [?]",
    "key_answers": [
      "25600"
    ],
    "correct_index": null,
    "sol_len": 130,
    "sol_preview": "The hundreds digit of 25 571 is 5.The digit after it (tens) is 7, which is 5 or more, so round up.25 571 rounds to 25 600.",
    "reason": null
  },
  {
    "index": 12253,
    "id": 23482,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "How many one-fifths are there in 3 wholes? [?]",
    "key_answers": [
      "15"
    ],
    "correct_index": null,
    "sol_len": 82,
    "sol_preview": "Each whole contains 5 one-fifths.For 3 wholes: 3 \\times 5 = 15 one-fifths.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12254,
    "id": 23483,
    "type": 2,
    "verdict": "GOOD",
    "question_preview": "Write down the size of $$\\angle AOB$$. [?]",
    "key_answers": [
      "130"
    ],
    "correct_index": null,
    "sol_len": 125,
    "sol_preview": "Read the protractor along the scale where OB lies on 0.Ray OA passes through the 130 mark, so \\angle AOB = 130^\\circ.",
    "reason": null
  },
  {
    "index": 12255,
    "id": 23484,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Find the value of $$\\frac{11}{12} - \\frac{2}{3}$$ in its simplest form.",
    "key_answers": [
      "\\(\\dfrac{1}{4}\\)",
      "\\(\\dfrac{1}{2}\\)",
      "\\(\\dfrac{3}{4}\\)",
      "\\(\\dfrac{1}{5}\\)"
    ],
    "correct_index": 0,
    "sol_len": 135,
    "sol_preview": "Make a common denominator: \\dfrac{2}{3} = \\dfrac{8}{12}.Then \\dfrac{11}{12} - \\dfrac{8}{12} = \\dfrac{3}{12} = \\dfrac{1}{4}.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12256,
    "id": 23485,
    "type": 1,
    "verdict": "GOOD",
    "question_preview": "The square grid shows the positions of points A, B, C and D.Ahmad walked directly from point A to point D in a straight line.In which direction did Ahmad walk?",
    "key_answers": [
      "North-West",
      "North-East",
      "South-West",
      "South-East"
    ],
    "correct_index": 0,
    "sol_len": 124,
    "sol_preview": "From the grid, D is above (north of) and to the left (west of) A.Moving from A to D is therefore towards the North-West.",
    "reason": null
  },
  {
    "index": 12257,
    "id": 23486,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Find the value ofa) $$4269 \\times 3$$b) $$217 \\times 15$$[?] , [?]",
    "key_answers": [
      "12807",
      "3255"
    ],
    "correct_index": null,
    "sol_len": 106,
    "sol_preview": "a) 4269 \\times 3 = 12807.b) 217 \\times 15 = 217 \\times 10 + 217 \\times 5 = 2170 + 1085 = 3255.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12258,
    "id": 23487,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "The letter A represents a mixed number. Give your answer in its simplest form.",
    "key_answers": [
      "\\(1\\dfrac{1}{3}\\)",
      "\\(1\\dfrac{2}{3}\\)",
      "\\(\\dfrac{3}{3}\\)",
      "\\(1\\dfrac{5}{6}\\)"
    ],
    "correct_index": 0,
    "sol_len": 135,
    "sol_preview": "Each interval between whole numbers is divided into 6 equal parts.A sits at 2 parts past 1, i.e. 1\\dfrac{2}{6} = 1\\dfrac{1}{3}.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12259,
    "id": 23488,
    "type": 1,
    "verdict": "NEEDS_REVISION",
    "question_preview": "Arrange the following fractions in increasing order.$$\\frac{4}{5}$$ , $$\\frac{2}{3}$$ , $$\\frac{5}{3}$$",
    "key_answers": [
      "\\(\\dfrac{2}{3}\\) , \\(\\dfrac{4}{5}\\) , \\(\\dfrac{5}{3}\\)",
      "\\(\\dfrac{5}{3}\\) , \\(\\dfrac{4}{5}\\) , \\(\\dfrac{2}{3}\\)",
      "\\(\\dfrac{4}{5}\\) , \\(\\dfrac{5}{3}\\) , \\(\\dfrac{2}{3}\\)",
      "\\(\\dfrac{2}{3}\\) , \\(\\dfrac{5}{3}\\) , \\(\\dfrac{4}{5}\\)"
    ],
    "correct_index": 0,
    "sol_len": 137,
    "sol_preview": "Compare values: \\dfrac{2}{3} \\approx 0.67, \\dfrac{4}{5} = 0.8, \\dfrac{5}{3} \\approx 1.67.Increasing order: 2/3, 4/5, 5/3.",
    "reason": "no_concluding_statement"
  },
  {
    "index": 12260,
    "id": 23489,
    "type": 2,
    "verdict": "NEEDS_REVISION",
    "question_preview": "I am a number greater than 20 but less than 40. I am a multiple of 6 and a factor of 48. What number am I? [?]",
    "key_answers": [
      "24"
    ],
    "correct_index": null,
    "sol_len": 137,
    "sol_preview": "Multiples of 6 between 20 and 40: 24, 30, 36.Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.The only number in both lists is 24.",
    "reason": "no_concluding_statement"
  }
]