[ {"id": 19107, "action": "convert", "question": "Express 5.2 as a mixed number in its simplest form.", "answer0": "$$5\\frac{2}{10}$$", "answer1": "$$5\\frac{1}{5}$$", "answer2": "$$5\\frac{1}{2}$$", "answer3": "$$\\frac{26}{5}$$", "correct_answer": 1, "reason": "Single mixed-number answer 5 1/5."}, {"id": 19109, "action": "convert", "question": "A bag of potatoes is $$\\frac{2}{5}$$ kg heavier than a bag of tomatoes. The bag of tomatoes has a mass of $$\\frac{5}{8}$$ kg. What is the mass of the bag of potatoes? Leave your answer in mixed number.", "answer0": "$$\\frac{9}{40}$$", "answer1": "$$1\\frac{1}{40}$$", "answer2": "$$1\\frac{7}{40}$$", "answer3": "$$\\frac{41}{40}$$", "correct_answer": 1, "reason": "Single mixed-number answer 1 1/40 (5/8 + 2/5 = 41/40)."}, {"id": 19110, "action": "convert", "question": "Juliet baked some chocolate and oatmeal cookies. She baked 12 chocolate cookies and $$\\frac{5}{8}$$ of the cookies were oatmeal. Her mother gave her another 8 oatmeal cookies. What fraction of the cookies were chocolate?", "answer0": "$$\\frac{3}{8}$$", "answer1": "$$\\frac{3}{10}$$", "answer2": "$$\\frac{12}{40}$$", "answer3": "$$\\frac{2}{5}$$", "correct_answer": 1, "reason": "Single fraction answer 3/10."}, {"id": 19112, "action": "convert", "question": "Bryan had some money. He spent $$\\frac{1}{2}$$ of his money on a watch, $$\\frac{1}{5}$$ of his money on two T-shirts and saved the rest. He saved $60. What fraction of his money did he save?", "answer0": "$$\\frac{7}{10}$$", "answer1": "$$\\frac{3}{10}$$", "answer2": "$$\\frac{1}{3}$$", "answer3": "$$\\frac{2}{7}$$", "correct_answer": 1, "reason": "Single fraction answer 3/10 (1 - 1/2 - 1/5)."}, {"id": 19276, "action": "skip", "question": "Arrange these numbers from the smallest to the greatest.
$$\\frac{4}{5}$$ 0.405 0.045
, , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three values, not one fraction MCQ."}, {"id": 19279, "action": "convert", "question": "What is the value of $$\\frac{5}{8}+\\frac{3}{4}$$?
Express your answer as a mixed number.", "answer0": "$$\\frac{11}{8}$$", "answer1": "$$1\\frac{3}{8}$$", "answer2": "$$1\\frac{1}{8}$$", "answer3": "$$1\\frac{3}{4}$$", "correct_answer": 1, "reason": "Single mixed-number answer 1 3/8."}, {"id": 19281, "action": "convert", "question": "What fraction of the muffins sold on Sunday was chocolate?
Give your answer in the simplest form.", "answer0": "$$\\frac{11}{26}$$", "answer1": "$$\\frac{13}{26}$$", "answer2": "$$\\frac{15}{26}$$", "answer3": "$$\\frac{17}{26}$$", "correct_answer": 2, "reason": "Single fraction answer 15/26."}, {"id": 19284, "action": "convert", "question": "What is the value of $$5-\\frac{7}{11}$$?
Express your answer as an improper fraction.", "answer0": "$$\\frac{48}{11}$$", "answer1": "$$\\frac{55}{11}$$", "answer2": "$$\\frac{38}{11}$$", "answer3": "$$\\frac{47}{11}$$", "correct_answer": 0, "reason": "Single improper-fraction answer 48/11 (55/11 - 7/11)."}, {"id": 19295, "action": "skip", "question": "Mrs Lim bought some highlighters in different colours. $$\\frac{1}{5}$$ of the highlighters were blue and $$\\frac{3}{10}$$ were yellow. The rest of the highlighters were green.
(a) What fraction of the highlighters were green? Give your answer in its simplest form.
(b) Mrs Lim bought 48 yellow highlighters. How many highlighters did she buy altogether?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) is a fraction, (b) is a count (160) — two distinct answers, cannot be one MCQ."}, {"id": 19371, "action": "skip", "question": "Which two of the fractions below are equivalent to $$\\frac{4}{6}$$? and ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "\"Which two\" question: answer is a pair of fractions, not a single MCQ value."}, {"id": 19375, "action": "skip", "question": "Arrange the following fractions from the greatest to the smallest.
$$\\frac{3}{4}$$ , $$\\frac{1}{2}$$ , $$\\frac{5}{8}$$
, , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence, not one fraction MCQ."}, {"id": 19388, "action": "skip", "question": "Jerry had 5 kg of rice. He used $$\\frac{3}{4}$$ kg of it to prepare fried rice and another $$\\frac{1}{6}$$ kg of it to prepare chicken rice.
(a) How much rice did Jerry use altogether?
(b) How much rice did Jerry have left? Give your answer as a mixed number in its simplest form.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct fraction answers (11/12 and 4 1/12) — cannot be one MCQ."}, {"id": 19392, "action": "skip", "question": "The pie chart shows the number of animals at a farm. There were 168 animals altogether. Half of the animals at the farm were cows.
(a) How many sheep were there in the farm?
(b) What fraction of the animals in the farm were horses? Express your answer in the simplest form.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) is a count (42), (b) is a fraction — two distinct answers."}, {"id": 19521, "action": "convert", "question": "Express $$\\frac{14}{21}$$ in its simplest form.", "answer0": "$$\\frac{2}{3}$$", "answer1": "$$\\frac{7}{14}$$", "answer2": "$$\\frac{1}{3}$$", "answer3": "$$\\frac{3}{4}$$", "correct_answer": 0, "reason": "Single fraction answer 2/3."}, {"id": 19522, "action": "convert", "question": "Write $$4\\frac{2}{5}$$ as an improper fraction.", "answer0": "$$\\frac{20}{5}$$", "answer1": "$$\\frac{8}{5}$$", "answer2": "$$\\frac{22}{5}$$", "answer3": "$$\\frac{42}{5}$$", "correct_answer": 2, "reason": "Single improper-fraction answer 22/5."}, {"id": 19523, "action": "convert", "question": "Find the value of $$2-\\frac{1}{2}-\\frac{1}{8}$$", "answer0": "$$1\\frac{3}{8}$$", "answer1": "$$1\\frac{1}{8}$$", "answer2": "$$1\\frac{5}{8}$$", "answer3": "$$\\frac{11}{8}$$", "correct_answer": 0, "reason": "Single mixed-number answer 1 3/8."}, {"id": 19642, "action": "convert", "question": "What is the value of $$\\frac{4}{5}$$ + $$\\frac{3}{10}$$? Express your answer as a mixed number.", "answer0": "$$\\frac{11}{10}$$", "answer1": "$$1\\frac{1}{5}$$", "answer2": "$$1\\frac{1}{10}$$", "answer3": "$$1\\frac{3}{10}$$", "correct_answer": 2, "reason": "Single mixed-number answer 1 1/10."}, {"id": 19649, "action": "skip", "question": "Arrange the following numbers from the smallest to the greatest.
1.203 , $$1\\frac{3}{50}$$ , $$\\frac{32}{20}$$ , 1.302
, , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of four values."}, {"id": 19657, "action": "skip", "question": "Aini, Kathy and Mandy formed a team to complete a 4-km race. Aini ran $$\\frac{3}{4}$$ km. The distance Aini ran was $$\\frac{2}{3}$$ km shorter than the distance run by Kathy. The rest of the race was run by Mandy.
(a) What was the distance completed by Kathy?
(b) What was the distance completed by Mandy? Express your answer as a mixed number in its simplest form.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct mixed-number answers (1 5/12 and 1 5/6)."}, {"id": 19712, "action": "skip", "question": "Which two of the fractions below are greater than $$\\frac{1}{2}$$?
$$\\frac{2}{3}$$ , $$\\frac{3}{6}$$ , $$\\frac{4}{9}$$ , $$\\frac{6}{11}$$
and ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "\"Which two\" question: answer is a pair of fractions."}, {"id": 19713, "action": "convert", "question": "What is the value of $$\\frac{5}{6}$$ + $$\\frac{7}{12}$$? Express your answer as a mixed number.", "answer0": "$$1\\frac{5}{12}$$", "answer1": "$$\\frac{17}{12}$$", "answer2": "$$1\\frac{1}{12}$$", "answer3": "$$1\\frac{7}{12}$$", "correct_answer": 0, "reason": "Single mixed-number answer 1 5/12."}, {"id": 19724, "action": "convert", "question": "Mrs Lee bought 2 m of cloth. She gave $$\\frac{2}{5}$$ m of the cloth to Mrs Lim and $$\\frac{1}{4}$$ m of the cloth to Mrs Teo. What was the length of cloth Mrs Lee had left?", "answer0": "$$1\\frac{7}{20}$$", "answer1": "$$1\\frac{13}{20}$$", "answer2": "$$\\frac{13}{20}$$", "answer3": "$$1\\frac{3}{20}$$", "correct_answer": 0, "reason": "Single mixed-number answer 1 7/20 (2 - 2/5 - 1/4)."}, {"id": 19803, "action": "convert", "question": "Express $$\\frac{6}{18}$$ in its simplest form.", "answer0": "$$\\frac{1}{2}$$", "answer1": "$$\\frac{1}{3}$$", "answer2": "$$\\frac{3}{9}$$", "answer3": "$$\\frac{1}{6}$$", "correct_answer": 1, "reason": "Single fraction answer 1/3."}, {"id": 19804, "action": "skip", "question": "Arrange the following fractions from the greatest to the smallest.
$$\\frac{1}{2}$$ , $$\\frac{5}{6}$$ , $$\\frac{7}{12}$$
(greatest) , , (smallest)", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three fractions."}, {"id": 19812, "action": "skip", "question": "Cathy had $$\\frac{3}{4}$$ ℓ of milk. She drank $$\\frac{1}{4}$$ ℓ of the milk and spilled $$\\frac{1}{3}$$ ℓ of it. (a) How much milk did she drink and spill altogether? (b) How much milk did she have left?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct fraction answers (7/12 and 1/6)."}, {"id": 19822, "action": "skip", "question": "The table shows the favourite hobbies of some P4 students. (a) How many P4 students are there in total? (b) How many P4 students like swimming? (c) What fraction of the students like skipping? (d) Which is the least popular hobby among the P4 students?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part (four sub-questions: counts, a fraction, a word answer) — not a single fraction MCQ."}, {"id": 19865, "action": "convert", "question": "What fraction of the triangles shown are black in colour?", "answer0": "$$\\frac{5}{14}$$", "answer1": "$$\\frac{9}{14}$$", "answer2": "$$\\frac{5}{9}$$", "answer3": "$$\\frac{4}{14}$$", "correct_answer": 0, "reason": "Single fraction answer 5/14."}, {"id": 19866, "action": "convert", "question": "Express $$\\frac{9}{12}$$ in its simplest form.", "answer0": "$$\\frac{2}{3}$$", "answer1": "$$\\frac{3}{4}$$", "answer2": "$$\\frac{4}{5}$$", "answer3": "$$\\frac{9}{4}$$", "correct_answer": 1, "reason": "Single fraction answer 3/4."}, {"id": 19867, "action": "skip", "question": "Which two of the fractions below are smaller than $$\\frac{1}{2}$$?
$$\\frac{3}{5}$$, $$\\frac{2}{7}$$, $$\\frac{4}{8}$$, $$\\frac{5}{12}$$
and ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "\"Which two\" question: answer is a pair of fractions."}, {"id": 19870, "action": "skip", "question": "Arrange these numbers from the smallest to the greatest.
$$\\frac{2}{5}$$, 0.408, 0.048
, , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three values."}, {"id": 19887, "action": "convert", "question": "Cassie and Eli had some orange juice at first. Cassie gave $$\\frac{3}{4}$$ ℓ of orange juice to Dayan. Eli then gave Cassie $$\\frac{5}{8}$$ ℓ of orange juice. Cassie had $$\\frac{9}{10}$$ ℓ of orange juice in the end. How much orange juice did Cassie have at first? Express your answer as a mixed number.", "answer0": "$$1\\frac{1}{40}$$", "answer1": "$$\\frac{41}{40}$$", "answer2": "$$\\frac{31}{40}$$", "answer3": "$$1\\frac{3}{40}$$", "correct_answer": 0, "reason": "Single mixed-number answer 1 1/40."}, {"id": 20011, "action": "skip", "question": "Which two of the fractions below are equivalent to $$\\frac{6}{8}$$?
$$\\frac{12}{16}$$, $$\\frac{5}{7}$$, $$\\frac{4}{5}$$, $$\\frac{3}{4}$$
and ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "\"Which two\" question: answer is a pair of fractions."}, {"id": 20012, "action": "convert", "question": "What is the value of $$\\frac{5}{6} + \\frac{2}{3}$$? Express your answer as a mixed number.", "answer0": "$$\\frac{3}{2}$$", "answer1": "$$1\\frac{1}{2}$$", "answer2": "$$1\\frac{1}{6}$$", "answer3": "$$1\\frac{1}{3}$$", "correct_answer": 1, "reason": "Single mixed-number answer 1 1/2 (5/6 + 4/6 = 9/6)."}, {"id": 20019, "action": "convert", "question": "At a funfair, $$\\frac{5}{12}$$ of the people were children, $$\\frac{1}{3}$$ of the people were men and the rest were women. What fraction of the people were women? Express your answer as a fraction in its simplest form.", "answer0": "$$\\frac{3}{12}$$", "answer1": "$$\\frac{1}{3}$$", "answer2": "$$\\frac{1}{4}$$", "answer3": "$$\\frac{1}{6}$$", "correct_answer": 2, "reason": "Single fraction answer 1/4 (1 - 5/12 - 4/12 = 3/12)."}, {"id": 20028, "action": "skip", "question": "There were some stickers in a box. Mariam took $$\\frac{3}{8}$$ of the stickers and Amy took the rest. Mariam took 36 fewer stickers than Amy.
(a) What fraction of the stickers did Amy take?
(b) How many stickers were in the box in total?
(a)
(b) ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) fraction 5/8, (b) count 144 — two distinct answers."}, {"id": 20147, "action": "skip", "question": "Arrange the following numbers from the smallest to the largest.
3.5 , 3.05 , $$3\\frac{1}{100}$$
(smallest) , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three values."}, {"id": 20961, "action": "convert", "question": "Write $$4\\frac{2}{3}$$ as an improper fraction.", "answer0": "$$\\frac{12}{3}$$", "answer1": "$$\\frac{14}{3}$$", "answer2": "$$\\frac{8}{3}$$", "answer3": "$$\\frac{42}{3}$$", "correct_answer": 1, "reason": "Single improper-fraction answer 14/3."}, {"id": 20962, "action": "convert", "question": "$$\\frac{2}{9}+\\frac{1}{3}=$$", "answer0": "$$\\frac{3}{12}$$", "answer1": "$$\\frac{5}{9}$$", "answer2": "$$\\frac{3}{9}$$", "answer3": "$$\\frac{5}{12}$$", "correct_answer": 1, "reason": "Single fraction answer 5/9 (2/9 + 3/9)."}, {"id": 20966, "action": "skip", "question": "Which two of the fractions below are smaller than $$\\frac{1}{2}$$?
$$\\frac{4}{11}$$, $$\\frac{3}{4}$$, $$\\frac{5}{10}$$, $$\\frac{2}{7}$$
and ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "\"Which two\" question: answer is a pair of fractions."}, {"id": 20975, "action": "skip", "question": "$$\\frac{5}{12}$$ of the passengers on the MRT were female.
(a) What fraction of the passengers were male?
(b) There were 40 female passengers, how many passengers were there on the MRT?
(a) (b) ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) fraction 7/12, (b) count 96 — two distinct answers."}, {"id": 20996, "action": "convert", "question": "Write $$3\\frac{5}{6}$$ as an improper fraction.", "answer0": "$$\\frac{18}{6}$$", "answer1": "$$\\frac{23}{6}$$", "answer2": "$$\\frac{15}{6}$$", "answer3": "$$\\frac{35}{6}$$", "correct_answer": 1, "reason": "Single improper-fraction answer 23/6."}, {"id": 20999, "action": "convert", "question": "$$\\frac{3}{4}$$ − $$\\frac{5}{8}$$ =", "answer0": "$$\\frac{1}{8}$$", "answer1": "$$\\frac{2}{8}$$", "answer2": "$$\\frac{1}{4}$$", "answer3": "$$\\frac{3}{8}$$", "correct_answer": 0, "reason": "Single fraction answer 1/8 (6/8 - 5/8)."}, {"id": 21002, "action": "skip", "question": "Which two of the fractions below are in the simplest form?
$$\\frac{3}{5}$$ , $$\\frac{4}{6}$$ , $$\\frac{5}{7}$$ , $$\\frac{6}{10}$$
and ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "\"Which two\" question: answer is a pair of fractions."}, {"id": 21009, "action": "convert", "question": "Express the number of household with 1 child as a fraction of the total number of household.", "answer0": "$$\\frac{24}{120}$$", "answer1": "$$\\frac{1}{5}$$", "answer2": "$$\\frac{120}{24}$$", "answer3": "$$\\frac{24}{96}$$", "correct_answer": 0, "reason": "Single fraction answer 24/120 (as-given, unsimplified form expected)."}, {"id": 21020, "action": "skip", "question": "There were 180 flowers at a florist. $$\\frac{2}{3}$$ of them were roses, $$\\frac{2}{9}$$ of them were sunflowers and the remaining were daisies.
a) What fraction of the flowers were daisies?
b) The daisies were sold at 5 for $21. How much was collected from the sale of all the daisies?
(a)
(b) $", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) fraction 1/9, (b) money amount 84 — two distinct answers."}, {"id": 21037, "action": "convert", "question": "Write $$\\frac{17}{6}$$ as a mixed number.", "answer0": "$$2\\frac{5}{6}$$", "answer1": "$$2\\frac{1}{6}$$", "answer2": "$$1\\frac{5}{6}$$", "answer3": "$$3\\frac{5}{6}$$", "correct_answer": 0, "reason": "Single mixed-number answer 2 5/6."}, {"id": 21039, "action": "convert", "question": "Find the value of $$1 - \\frac{1}{8} - \\frac{3}{4}$$.", "answer0": "$$\\frac{1}{4}$$", "answer1": "$$\\frac{3}{8}$$", "answer2": "$$\\frac{1}{8}$$", "answer3": "$$\\frac{1}{2}$$", "correct_answer": 2, "reason": "Single fraction answer 1/8 (8/8 - 1/8 - 6/8)."}, {"id": 21057, "action": "skip", "question": "Ali bought 8 kg of flour. He used $$\\frac{2}{5}$$ kg of the flour to bake a cake and $$\\frac{1}{4}$$ kg of it to bake chocolate cookies.
a) What was the total mass of flour he used altogether?

b) What was the mass of flour he had left?
", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct fraction answers (13/20 and 7 7/20)."}, {"id": 21113, "action": "skip", "question": "Which two of the fractions below are smaller than $$\\frac{1}{2}$$?
$$\\frac{3}{4}$$ , $$\\frac{4}{9}$$ , $$\\frac{5}{10}$$ , $$\\frac{3}{7}$$", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "\"Which two\" question: answer is a pair of fractions."}, {"id": 21114, "action": "convert", "question": "What is the value of $$\\frac{2}{3}$$ + $$\\frac{5}{6}$$? Express your answer as a mixed number.", "answer0": "$$1\\frac{1}{3}$$", "answer1": "$$\\frac{3}{2}$$", "answer2": "$$1\\frac{1}{6}$$", "answer3": "$$1\\frac{1}{2}$$", "correct_answer": 3, "reason": "Single mixed-number answer 1 1/2 (4/6 + 5/6 = 9/6)."}, {"id": 21116, "action": "convert", "question": "Express 0.15 as a fraction.", "answer0": "$$\\frac{15}{100}$$", "answer1": "$$\\frac{15}{10}$$", "answer2": "$$\\frac{3}{20}$$", "answer3": "$$\\frac{15}{1000}$$", "correct_answer": 0, "reason": "Single fraction answer 15/100 (as-given form)."}, {"id": 21120, "action": "convert", "question": "The pie chart shows how Edwin uses his monthly pocket money. Savings is $$\\frac{1}{6}$$. What fraction of Edwin's monthly pocket money is spent on stationery?", "answer0": "$$\\frac{1}{6}$$", "answer1": "$$\\frac{1}{12}$$", "answer2": "$$\\frac{1}{4}$$", "answer3": "$$\\frac{1}{3}$$", "correct_answer": 1, "reason": "Single fraction answer 1/12."}, {"id": 21131, "action": "convert", "question": "Leon has $$\\frac{2}{5}$$ kg of flour in a container. He has $$\\frac{1}{2}$$ kg of flour less than Siti. How much flour do they have altogether? Express your answer as a mixed number in its simplest form.", "answer0": "$$1\\frac{3}{10}$$", "answer1": "$$\\frac{13}{10}$$", "answer2": "$$1\\frac{1}{10}$$", "answer3": "$$\\frac{9}{10}$$", "correct_answer": 0, "reason": "Single mixed-number answer 1 3/10 (2/5 + 9/10 = 13/10)."}, {"id": 21132, "action": "skip", "question": "A tank was completely filled with water at first. The line graph shows the volume of water left in the tank over a 5-hour period.
(a) At what time was the tank half filled with water?
(b) What fraction of the tank was filled with water at 14 00? Express your answer in its simplest form.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) is a time (12 00), (b) is a fraction — two distinct answers."}, {"id": 21134, "action": "skip", "question": "Mrs Lee baked some cookies and ate $$\\frac{2}{9}$$ of the cookies. She gave 12 cookies to her friend and had 9 cookies left.
(a) How many cookies did she bake?
(b) What fraction of the cookies did she have left? Express your answer in its simplest form.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) count 27, (b) fraction — two distinct answers."}, {"id": 21182, "action": "skip", "question": "Arrange the following numbers from the smallest to the largest.
3.5 , 3.05 , $$3\\frac{1}{100}$$
(smallest) , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three values."}, {"id": 21255, "action": "convert", "question": "$$1 - \\frac{1}{8} - \\frac{1}{4}$$ =", "answer0": "$$\\frac{3}{8}$$", "answer1": "$$\\frac{1}{8}$$", "answer2": "$$\\frac{5}{8}$$", "answer3": "$$\\frac{7}{8}$$", "correct_answer": 2, "reason": "Single fraction answer 5/8 (8/8 - 1/8 - 2/8)."}, {"id": 21259, "action": "convert", "question": "Write $$2\\frac{2}{3}$$ as an improper fraction.", "answer0": "$$\\frac{6}{3}$$", "answer1": "$$\\frac{4}{3}$$", "answer2": "$$\\frac{8}{3}$$", "answer3": "$$\\frac{22}{3}$$", "correct_answer": 2, "reason": "Single improper-fraction answer 8/3."}, {"id": 21263, "action": "convert", "question": "After spilling $$\\frac{2}{3}$$ $$l$$ of water, John has $$1\\frac{1}{2}$$ $$l$$ of water left. How much water does he have at first? Give your answer as a mixed number.", "answer0": "$$2\\frac{1}{6}$$", "answer1": "$$\\frac{13}{6}$$", "answer2": "$$1\\frac{5}{6}$$", "answer3": "$$2\\frac{5}{6}$$", "correct_answer": 0, "reason": "Single mixed-number answer 2 1/6 (1 1/2 + 2/3 = 13/6)."}, {"id": 21274, "action": "convert", "question": "Aminah divided her garden into 4 equal plots, A, B, C and D. The area of her garden is 240 m². $$\\frac{1}{2}$$ of Plot A was planted with tulips and $$\\frac{1}{4}$$ of Plot B was planted with roses. What fraction of her garden did she plant with tulips and roses?", "answer0": "$$\\frac{3}{4}$$", "answer1": "$$\\frac{3}{16}$$", "answer2": "$$\\frac{3}{8}$$", "answer3": "$$\\frac{1}{8}$$", "correct_answer": 1, "reason": "Single fraction answer 3/16 (1/8 + 1/16)."}, {"id": 21323, "action": "convert", "question": "$$\\frac{11}{12}$$ − $$\\frac{5}{6}$$ =", "answer0": "$$\\frac{1}{12}$$", "answer1": "$$\\frac{6}{6}$$", "answer2": "$$\\frac{1}{6}$$", "answer3": "$$\\frac{6}{12}$$", "correct_answer": 0, "reason": "Single fraction answer 1/12 (11/12 - 10/12)."}, {"id": 21324, "action": "convert", "question": "What is the value of $$\\frac{2}{3}$$ + $$\\frac{7}{9}$$? Express your answer as a mixed number.", "answer0": "$$\\frac{13}{9}$$", "answer1": "$$1\\frac{4}{9}$$", "answer2": "$$1\\frac{2}{9}$$", "answer3": "$$1\\frac{5}{9}$$", "correct_answer": 1, "reason": "Single mixed-number answer 1 4/9 (6/9 + 7/9 = 13/9)."}, {"id": 21325, "action": "convert", "question": "1 − $$\\frac{1}{2}$$ − $$\\frac{3}{8}$$ =", "answer0": "$$\\frac{1}{4}$$", "answer1": "$$\\frac{1}{8}$$", "answer2": "$$\\frac{3}{8}$$", "answer3": "$$\\frac{5}{8}$$", "correct_answer": 1, "reason": "Single fraction answer 1/8 (8/8 - 4/8 - 3/8)."}, {"id": 21336, "action": "convert", "question": "In the figure, rectangle WXYZ is made up of 6 unit squares. What fraction of the rectangle WXYZ is shaded?", "answer0": "$$\\frac{5}{6}$$", "answer1": "$$\\frac{5}{12}$$", "answer2": "$$\\frac{7}{12}$$", "answer3": "$$\\frac{1}{2}$$", "correct_answer": 1, "reason": "Single fraction answer 5/12."}, {"id": 21340, "action": "skip", "question": "Mr Lim had 2 ropes. The first rope was $$\\frac{3}{5}$$ m long. It was $$\\frac{1}{4}$$ m longer than the second rope.
(a) What was the length of the second rope?
(b) What was the total length of the two ropes?
(a) m
(b) m", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct fraction answers (7/20 and 19/20)."}, {"id": 21363, "action": "convert", "question": "Write $$2\\frac{5}{7}$$ as an improper fraction.", "answer0": "$$\\frac{14}{7}$$", "answer1": "$$\\frac{19}{7}$$", "answer2": "$$\\frac{10}{7}$$", "answer3": "$$\\frac{25}{7}$$", "correct_answer": 1, "reason": "Single improper-fraction answer 19/7."}, {"id": 21372, "action": "convert", "question": "What is the sum of $$\\frac{1}{3}$$ and $$\\frac{3}{4}$$ ? Give your answer as a mixed number in its simplest form.", "answer0": "$$\\frac{13}{12}$$", "answer1": "$$1\\frac{1}{12}$$", "answer2": "$$1\\frac{1}{7}$$", "answer3": "$$1\\frac{5}{12}$$", "correct_answer": 1, "reason": "Single mixed-number answer 1 1/12 (4/12 + 9/12 = 13/12)."}, {"id": 21375, "action": "skip", "question": "Arrange the following from the smallest to greatest.
0.804 , 0.084 , $$\\frac{4}{5}$$", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three values."}, {"id": 21376, "action": "convert", "question": "Express 0.43 as a fraction.", "answer0": "$$\\frac{43}{10}$$", "answer1": "$$\\frac{43}{100}$$", "answer2": "$$\\frac{43}{1000}$$", "answer3": "$$\\frac{4}{3}$$", "correct_answer": 1, "reason": "Single fraction answer 43/100."}, {"id": 21383, "action": "skip", "question": "Mrs Gopal bought $$\\frac{9}{10}$$ kg of flour. She bought $$\\frac{3}{5}$$ kg less of sugar than flour.
(a) What was the mass of sugar Mrs Gopal bought?
(b) How much flour and sugar did Mrs Gopal buy? Give your answer in the simplest form. ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct fraction answers (3/10 and 1 1/5)."}, {"id": 21466, "action": "convert", "question": "What fraction of the hearts shown are grey in colour?", "answer0": "$$\\frac{9}{20}$$", "answer1": "$$\\frac{11}{20}$$", "answer2": "$$\\frac{11}{9}$$", "answer3": "$$\\frac{11}{40}$$", "correct_answer": 1, "reason": "Single fraction answer 11/20."}, {"id": 21471, "action": "convert", "question": "$$1-\\frac{1}{4}-\\frac{1}{2}$$ =", "answer0": "$$\\frac{1}{4}$$", "answer1": "$$\\frac{1}{2}$$", "answer2": "$$\\frac{3}{4}$$", "answer3": "$$\\frac{1}{8}$$", "correct_answer": 0, "reason": "Single fraction answer 1/4 (4/4 - 1/4 - 2/4)."}, {"id": 21473, "action": "convert", "question": "Xiao Ming ran $$\\frac{3}{4}$$ km. He ran $$\\frac{1}{3}$$ km less than John.
What was the total distance both boys ran?
Give your answer as a mixed number in the simplest form.", "answer0": "$$1\\frac{5}{6}$$", "answer1": "$$\\frac{11}{6}$$", "answer2": "$$1\\frac{1}{6}$$", "answer3": "$$1\\frac{5}{12}$$", "correct_answer": 0, "reason": "Single mixed-number answer 1 5/6 (3/4 + 13/12 = 22/12)."}, {"id": 21486, "action": "skip", "question": "The pie chart shows the number of pets kept by some students. Each student keeps only 1 type of pet. $$\\frac{3}{5}$$ of the students keep pet dogs and cats. Cats = 28, Fish = 15.
(a) Find the total number of students.
(b) What fraction of the students keep fish as pets? Give your answer in the simplest form.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) count 80, (b) fraction — two distinct answers."}, {"id": 21733, "action": "skip", "question": "(a) Write $$3\\frac{5}{6}$$ as an improper fraction.
(b) Arrange the fraction in decreasing order.
$$\\frac{1}{3}$$ , $$\\frac{3}{5}$$ , $$\\frac{3}{7}$$", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) improper fraction, (b) ordering sequence — cannot be one MCQ."}, {"id": 21734, "action": "skip", "question": "(a) Find the value of $$\\frac{1}{5}+\\frac{3}{10}$$. Express your answer in the simplest form.
(b) Find the value of $$4-\\frac{3}{8}$$.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct answers (1/2 and 3 5/8)."}, {"id": 21741, "action": "skip", "question": "There was $$\\frac{11}{12}$$ $$l$$ of water in a tank. Dinesh used $$\\frac{1}{4}$$ $$l$$ to water his plants.
(a) How much water was left in the tank after he watered his plants?
(b) The next day, he added $$\\frac{5}{6}$$ $$l$$ of water into the tank. How much water was there in the tank in the end? Give your answer as a mixed number in the simplest form.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct answers (2/3 and 1 1/2)."}, {"id": 21745, "action": "convert", "question": "Express $$\\frac{60}{9}$$ as a mixed number in its simplest form.", "answer0": "$$6\\frac{2}{3}$$", "answer1": "$$6\\frac{6}{9}$$", "answer2": "$$6\\frac{1}{3}$$", "answer3": "$$7\\frac{2}{3}$$", "correct_answer": 0, "reason": "Single mixed-number answer 6 2/3."}, {"id": 21746, "action": "convert", "question": "What fraction of the figure is shaded? Express your answer in its simplest form.", "answer0": "$$\\frac{1}{4}$$", "answer1": "$$\\frac{3}{4}$$", "answer2": "$$\\frac{2}{3}$$", "answer3": "$$\\frac{1}{2}$$", "correct_answer": 1, "reason": "Single fraction answer 3/4."}, {"id": 21750, "action": "skip", "question": "Arrange the following fractions in order, from the smallest to the greatest.
$$1\\frac{1}{3}$$, $$\\frac{5}{6}$$, $$\\frac{3}{4}$$, $$\\frac{13}{12}$$", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of four fractions."}, {"id": 21757, "action": "skip", "question": "Every month, Zoe spends $$\\frac{1}{3}$$ of her monthly salary on food, $$\\frac{5}{12}$$ of it on transport and saves the rest of her salary.
(a) What fraction of her salary does Zoe save every month?
(b) Given that Zoe saves $798 each month, how much does Zoe earn each month?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part: (a) fraction 1/4, (b) money amount $3192 — two distinct answers."}, {"id": 21856, "action": "skip", "question": "Arrange the fractions in increasing order.
$$\\frac{7}{3}$$, $$\\frac{5}{6}$$, $$2\\frac{1}{4}$$
, , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three fractions."}, {"id": 21857, "action": "convert", "question": "Find the sum of $$\\frac{9}{10}$$ and $$\\frac{4}{5}$$. Express your answer as a mixed number in its simplest form.", "answer0": "$$\\frac{17}{10}$$", "answer1": "$$1\\frac{7}{10}$$", "answer2": "$$1\\frac{3}{10}$$", "answer3": "$$1\\frac{1}{2}$$", "correct_answer": 1, "reason": "Single mixed-number answer 1 7/10 (9/10 + 8/10 = 17/10)."}, {"id": 21861, "action": "convert", "question": "Annie and Betty had $$\\frac{1}{2}$$ m of cloth. Betty and Cathy had $$\\frac{3}{4}$$ m of cloth. Annie, Betty and Cathy had $$\\frac{4}{5}$$ m of cloth altogether. How much cloth did Betty have? Express your answer in its simplest form.", "answer0": "$$\\frac{11}{20}$$", "answer1": "$$\\frac{9}{20}$$", "answer2": "$$\\frac{7}{20}$$", "answer3": "$$\\frac{1}{2}$$", "correct_answer": 1, "reason": "Single fraction answer 9/20 ((1/2 + 3/4) - 4/5 = 25/20 - 16/20)."}, {"id": 21862, "action": "skip", "question": "There was 4 $$\\ell$$ of water in a container. Raju used $$\\frac{1}{6}$$ $$\\ell$$ of water in the morning. Raju used another $$\\frac{1}{4}$$ $$\\ell$$ of water in the afternoon.
(a) What was the total amount of water used by Raju? Express your answer as a fraction in the simplest form.
$$\\ell$$
(b) How much water was left in the container? Express your answer as a mixed number in the simplest form.
$$\\ell$$", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct answers (5/12 and 3 7/12)."}, {"id": 22385, "action": "skip", "question": "Arrange the following numbers from the smallest to the largest.
3.5 , 3.05 , $$3\\frac{1}{100}$$
(smallest) , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three values."}, {"id": 22524, "action": "convert", "question": "Express $$\\frac{42}{8}$$ as a mixed number in its simplest form.", "answer0": "$$5\\frac{2}{8}$$", "answer1": "$$5\\frac{1}{4}$$", "answer2": "$$5\\frac{1}{2}$$", "answer3": "$$4\\frac{1}{4}$$", "correct_answer": 1, "reason": "Single mixed-number answer 5 1/4."}, {"id": 22529, "action": "convert", "question": "Subtract $$\\frac{2}{3}$$ from $$\\frac{6}{7}$$.", "answer0": "$$\\frac{4}{21}$$", "answer1": "$$\\frac{4}{4}$$", "answer2": "$$\\frac{8}{21}$$", "answer3": "$$\\frac{4}{7}$$", "correct_answer": 0, "reason": "Single fraction answer 4/21 (18/21 - 14/21)."}, {"id": 22614, "action": "skip", "question": "Arrange these fractions from the greatest to the smallest.
$$\\frac{2}{3}$$, $$\\frac{5}{6}$$, $$\\frac{2}{5}$$
, , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three fractions."}, {"id": 22615, "action": "convert", "question": "Find the value of $$\\frac{11}{12}-\\frac{1}{4}$$.
Give your answer in its simplest form.", "answer0": "$$\\frac{2}{3}$$", "answer1": "$$\\frac{8}{12}$$", "answer2": "$$\\frac{5}{6}$$", "answer3": "$$\\frac{1}{2}$$", "correct_answer": 0, "reason": "Single fraction answer 2/3 (11/12 - 3/12 = 8/12)."}, {"id": 22626, "action": "convert", "question": "Find the missing mixed number in the number line.", "answer0": "$$3\\frac{1}{6}$$", "answer1": "$$3\\frac{5}{6}$$", "answer2": "$$4\\frac{5}{6}$$", "answer3": "$$2\\frac{5}{6}$$", "correct_answer": 1, "reason": "Single mixed-number answer 3 5/6."}, {"id": 22628, "action": "skip", "question": "Arrange the following fractions in ascending order.
$$\\frac{4}{7}$$ , $$\\frac{17}{12}$$ , $$3\\frac{1}{2}$$ , $$\\frac{1}{2}$$
, , , ", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of four fractions."}, {"id": 22630, "action": "skip", "question": "Mrs Tan bought some juice. She drank $$\\frac{5}{12}$$ $$l$$ of juice and gave away $$\\frac{1}{3}$$ $$l$$ of it. She was left with $$\\frac{7}{12}$$ $$l$$ of juice.
(a) How many more litres of juice did she drink than she give away?
(b) How many litres of juice did Mrs Tan buy? Give your answer as a mixed number in simplest form.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Multi-part with two distinct answers (1/12 and 1 1/3)."}, {"id": 22634, "action": "convert", "question": "Find the value of $$\\frac{2}{3}$$ - $$\\frac{1}{6}$$
Give your answer as a fraction in the simplest form.", "answer0": "$$\\frac{3}{6}$$", "answer1": "$$\\frac{1}{2}$$", "answer2": "$$\\frac{1}{3}$$", "answer3": "$$\\frac{5}{6}$$", "correct_answer": 1, "reason": "Single fraction answer 1/2 (4/6 - 1/6 = 3/6)."}, {"id": 22636, "action": "skip", "question": "Arrange the following fractions from the greatest to the smallest.
$$\\frac{5}{12}$$ , $$\\frac{2}{3}$$ , $$\\frac{1}{2}$$", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "reason": "Ordering question: answer is a sequence of three fractions."} ]