[ { "id": 3432, "source": "imp4pg086q5", "skill_id": 122, "type_id": 2, "question": "May is $$\\dfrac{1}{2}$$ as tall as her father. Her father stands at 171 cm.
May's height is cm.", "answer0": "133", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 3433, "source": "imp4pg086q6", "skill_id": 122, "type_id": 2, "question": "Ed is $$\\dfrac{1}{2}$$ as old as his grand-dad. Ed is 12 years old.
His grand-dad is years old.", "answer0": "66", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 3440, "source": "imp4pg088q13", "skill_id": 122, "type_id": 2, "question": "This year, Heidi is $$\\dfrac{1}{2}$$ as old as her mother. Her mother is 45 years old.
Last year, Hannah was years old.", "answer0": "8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 3441, "source": "imp4pg089q14", "skill_id": 122, "type_id": 2, "question": "Wendy is $$\\dfrac{1}{2}$$ as old as her brother. Wendy is 6 years younger than her brother.
Next year, Wendy will be years old.", "answer0": "13", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 3442, "source": "imp4pg089q15", "skill_id": 122, "type_id": 2, "question": "Paul is 8 this year. He is $$\\dfrac{1}{2}$$ as old as his grandfather.
When Paul turns 12, his grandfather will be years old.", "answer0": "60", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 3454, "source": "imp4pg092q12", "skill_id": 122, "type_id": 2, "question": "Rose is 7 and $$\\dfrac{1}{2}$$ as old as her father. Her sister is twice her age.
The difference between her father and sister's age is years.", "answer0": "21", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 3455, "source": "imp4pg092q13", "skill_id": 122, "type_id": 2, "question": "Josh is $$\\dfrac{1}{2}$$ as heavy as Alfred. Rob is 3 times as heavy as Alfred. Josh weighs 24 kg.
Rob weighs kg.", "answer0": "81", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 4294, "source": "imp5pg049q1a", "skill_id": 161, "type_id": 1, "question": "Find the product. Give your answer in its simplest form where necessary.
$$\\frac{1}{2}$$ of $$\\frac{2}{3}$$ = ______", "answer0": "$$\\frac{1}{6}$$", "answer1": "$$\\frac{2}{3}$$", "answer2": "$$\\frac{1}{3}$$", "answer3": "None of the above", "correct_answer": 2 }, { "id": 4310, "source": "imp5pg050q5", "skill_id": 161, "type_id": 1, "question": "Mrs Kway-kway had $$\\dfrac{1}{2}$$ kg of sugar. She used $$\\dfrac{3}{4}$$ of it to bake a cake.
How much sugar did she use?", "answer0": "$$\\frac{2}{3}$$", "answer1": "$$\\frac{4}{5}$$", "answer2": "$$\\frac{3}{8}$$", "answer3": "$$\\frac{1}{4}$$", "correct_answer": 2 }, { "id": 4666, "source": "imp5pg152q4", "skill_id": 203, "type_id": 2, "question": "The total mass of 3 packets of sugar is $$\\dfrac{1}{2}$$ kg.
The average mass of a packet of sugar = kg, correct to 3 decimal places.", "answer0": "0.125", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 4723, "source": "imp5pg167q3a", "skill_id": 173, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ = %", "answer0": "7", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 7 }, { "id": 4724, "source": "imp5pg167q3b", "skill_id": 173, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ = %", "answer0": "81", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 81 }, { "id": 4725, "source": "imp5pg167q3c", "skill_id": 173, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ = %", "answer0": "20", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 20 }, { "id": 4726, "source": "imp5pg167q3d", "skill_id": 173, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ = %", "answer0": "80", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 80 }, { "id": 4727, "source": "imp5pg168q4a", "skill_id": 173, "type_id": 2, "question": "9% = $$\\dfrac{1}{2}$$
", "answer0": "9", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 9 }, { "id": 4728, "source": "imp5pg168q4b", "skill_id": 173, "type_id": 2, "question": "75% = $$\\dfrac{1}{2}$$
", "answer0": "75", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 75 }, { "id": 4729, "source": "imp5pg168q4c", "skill_id": 173, "type_id": 2, "question": "28% = $$\\dfrac{1}{2}$$
", "answer0": "100", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 100 }, { "id": 4730, "source": "imp5pg168q4d", "skill_id": 173, "type_id": 2, "question": "36% = $$\\dfrac{1}{2}$$
", "answer0": "100", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 100 }, { "id": 4751, "source": "imp5pg169q12a", "skill_id": 173, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ = %", "answer0": "95", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 95 }, { "id": 4752, "source": "imp5pg169q12b", "skill_id": 173, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ = %", "answer0": "60", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 60 }, { "id": 4753, "source": "imp5pg169q12c", "skill_id": 173, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ = %", "answer0": "48", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 48 }, { "id": 4754, "source": "imp5pg169q12d", "skill_id": 173, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ = %", "answer0": "75", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 75 }, { "id": 5006, "source": "imp5pg232q9b", "skill_id": 191, "type_id": 2, "question": "A rectangular container 100 cm long, 45 cm wide and 60 cm high is $$\\dfrac{1}{2}$$ filled with used cooking oil from a restaurant. How much more used cooking oil can be poured into the container before it becomes full? Give your answer in litres. (1 l= 1000 cm³)
$$l$$", "answer0": "189", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 189 }, { "id": 5063, "source": null, "skill_id": 239, "type_id": 2, "question": "Work out the following when z = 4.
$$\\dfrac{1}{2}$$ = ", "answer0": "1", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 1 }, { "id": 5067, "source": null, "skill_id": 239, "type_id": 2, "question": "Work out the following when z = 32.
$$\\dfrac{1}{2}$$ = ", "answer0": "8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 8 }, { "id": 5074, "source": null, "skill_id": 239, "type_id": 2, "question": "a = 70; $$\\dfrac{1}{2}$$ = ", "answer0": "5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 5 }, { "id": 5228, "source": null, "skill_id": 379, "type_id": 2, "question": "$$\\frac{7}{8} + \\frac{5}{12}$$ = A$$\\dfrac{1}{2}$$
A: B:C:", "answer0": "1", "answer1": "7", "answer2": "24", "answer3": null, "correct_answer": 1 }, { "id": 5230, "source": null, "skill_id": 160, "type_id": 2, "question": "$$2\\frac{4}{5} - 1\\frac{3}{10}$$ = A$$\\dfrac{1}{2}$$
A: B:C:", "answer0": "1", "answer1": "1", "answer2": "2", "answer3": null, "correct_answer": 3 }, { "id": 5231, "source": null, "skill_id": 161, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ x $$\\dfrac{1}{2}$$ = $$\\dfrac{1}{2}$$
A: B:", "answer0": "1", "answer1": "3", "answer2": null, "answer3": null, "correct_answer": 1 }, { "id": 5232, "source": null, "skill_id": 161, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ x $$\\dfrac{1}{2}$$ = $$\\dfrac{1}{2}$$
A: B:", "answer0": "3", "answer1": "4", "answer2": null, "answer3": null, "correct_answer": 3 }, { "id": 5233, "source": null, "skill_id": 163, "type_id": 2, "question": "$$2\\frac{1}{4}$$ x 3 = A$$\\dfrac{1}{2}$$
A: B:C:", "answer0": "6", "answer1": "3", "answer2": "4", "answer3": null, "correct_answer": 6 }, { "id": 5234, "source": null, "skill_id": 164, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ ÷ $$ 10$$ = $$\\dfrac{1}{2}$$
A: B:", "answer0": "1", "answer1": "22", "answer2": null, "answer3": null, "correct_answer": 1 }, { "id": 5237, "source": null, "skill_id": 164, "type_id": 2, "question": "$$2$$ ÷ $$\\dfrac{1}{2}$$ = A$$\\dfrac{1}{2}$$
A: B:C:", "answer0": "3", "answer1": "1", "answer2": "5", "answer3": null, "correct_answer": 3 }, { "id": 5238, "source": null, "skill_id": 164, "type_id": 2, "question": "$$2$$ ÷ $$\\dfrac{1}{2}$$ = ", "answer0": "5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 10 }, { "id": 5239, "source": null, "skill_id": 164, "type_id": 2, "question": "$$5$$ ÷ $$\\dfrac{1}{2}$$ = A$$\\dfrac{1}{2}$$
A: B:C:", "answer0": "8", "answer1": "4", "answer2": "7", "answer3": null, "correct_answer": 8 }, { "id": 5240, "source": null, "skill_id": 206, "type_id": 2, "question": "$$7$$ ÷ $$\\dfrac{1}{2}$$ = A$$\\dfrac{1}{2}$$
A: B:C:", "answer0": "10", "answer1": "1", "answer2": "2", "answer3": null, "correct_answer": 10 }, { "id": 5241, "source": null, "skill_id": 164, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ ÷ $$\\dfrac{1}{2}$$ = $$\\dfrac{1}{2}$$
A: B:", "answer0": "2", "answer1": "3", "answer2": null, "answer3": null, "correct_answer": 2 }, { "id": 5242, "source": null, "skill_id": 164, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ ÷ $$\\dfrac{1}{2}$$ = A$$\\dfrac{1}{2}$$
A: B:C:", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": null, "correct_answer": 1 }, { "id": 5243, "source": null, "skill_id": 164, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ ÷ $$\\dfrac{1}{2}$$ = $$\\dfrac{1}{2}$$
A: B:", "answer0": "1", "answer1": "6", "answer2": null, "answer3": null, "correct_answer": 1 }, { "id": 5244, "source": null, "skill_id": 164, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ ÷ $$\\dfrac{1}{2}$$ = $$\\dfrac{1}{2}$$
A: B:", "answer0": "8", "answer1": "3", "answer2": null, "answer3": null, "correct_answer": 8 }, { "id": 5245, "source": null, "skill_id": 164, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ ÷ $$\\dfrac{1}{2}$$ = ", "answer0": "6", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 6 }, { "id": 5246, "source": null, "skill_id": 164, "type_id": 2, "question": "$$\\dfrac{1}{2}$$ ÷ $$\\dfrac{1}{2}$$ = $$\\dfrac{1}{2}$$
A: B:", "answer0": "21", "answer1": "25", "answer2": null, "answer3": null, "correct_answer": 21 }, { "id": 5256, "source": null, "skill_id": 205, "type_id": 2, "question": "Find the total length of 3 ropes of lengths 1.5 m, 1.26 m and 1$$\\dfrac{1}{2}$$ m. Express your answer (in m) in the form A$$\\dfrac{1}{2}$$ where:\nA = \nb = \nc = ", "answer0": "4", "answer1": "4", "answer2": "25", "answer3": null, "correct_answer": 4 }, { "id": 5258, "source": null, "skill_id": 205, "type_id": 2, "question": "Find the average of 12 km, 11.8 km and 8$$\\dfrac{1}{2}$$ km. Express your answer in the form A$$\\dfrac{1}{2}$$ km where A = \nb = \nc = ", "answer0": "10", "answer1": "2", "answer2": "3", "answer3": null, "correct_answer": 10 }, { "id": 5318, "source": null, "skill_id": 205, "type_id": 2, "question": "If Worker A was to paint a house by himself, he would take 6 hours. If Worker B was to paint a house by himself, he would take 10 hours.
How long did both of them take to paint the house together? Express your answer in mixed fraction.
A $$\\dfrac{1}{2}$$
A: B:C: ", "answer0": "3", "answer1": "3", "answer2": "4", "answer3": null, "correct_answer": 3 }, { "id": 5332, "source": null, "skill_id": 205, "type_id": 2, "question": "Angie bought some apples and Belle bought some oranges. Angie gave half of her apples to Belle and in return, Belle gave half of her oranges to Angie. Both girls ended up with 16 fruits each, and had $$\\dfrac{1}{2}$$ as many apples as oranges.
Find the number of apples Angie bought and the number of oranges Belle bought.
Angie bought apples and Belle bought oranges.", "answer0": "8", "answer1": "24", "answer2": null, "answer3": null, "correct_answer": 8 }, { "id": 5354, "source": null, "skill_id": 210, "type_id": 2, "question": "A:B = 1:6 implying A = $$\\dfrac{1}{2}$$ B where:\n
x: y:", "answer0": "1", "answer1": "6", "answer2": null, "answer3": null, "correct_answer": 1 }, { "id": 5363, "source": null, "skill_id": 210, "type_id": 2, "question": "Three pupils, Amy, Belinda and Cindy shared some chocolates in the ratio 4:1:5.
Express the number of chocolates that Amy had as a fraction, $$\\dfrac{1}{2}$$, of the total number of chocolates that Belinda and Cindy had. Reduce your answer to the lowest term.
A: B:", "answer0": "2", "answer1": "3", "answer2": null, "answer3": null, "correct_answer": 2 }, { "id": 5520, "source": null, "skill_id": 215, "type_id": 2, "question": "An old man was jogging around a 400 $$m$$ running track.
During the firstvtwo rounds, he jogged slowly and completed it in 13$$\\dfrac{1}{2}$$ minutes.
For the next two rounds, he jogged faster and completed them in 6$$\\dfrac{1}{2}$$ minutes.
What was his average speed forth four rounds that he ran in $$m/min$$?
$$m/min$$", "answer0": "80", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 5525, "source": null, "skill_id": 215, "type_id": 2, "question": "In the morning, Mr Wong took $$\\dfrac{1}{2}$$ h to drive his car from his home to the airport.
In the afternoon, he took $$\\dfrac{1}{2}$$ h to drive his car from the airport back to his home.
The airport was 45 km from his home.
Find his average speed for his trips.
$$km/h$$", "answer0": "72", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 5526, "source": null, "skill_id": 218, "type_id": 2, "question": "Melissa is meeting her friend at the MRT station at 8 a.m.
The station is $$\\dfrac{1}{2}$$km away.
At what time must she leave her home if she walks at 60 m/min and wants to arrive exactly on time?
Express your answer in 24-hour notation (eg 0300 = 3 am) ", "answer0": "0810", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 5588, "source": null, "skill_id": 220, "type_id": 2, "question": "The figure shows a semicircle.
Find its perimeter. (Take π = $$\\dfrac{1}{2}$$)
$$cm$$", "answer0": "54", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 5589, "source": null, "skill_id": 220, "type_id": 2, "question": "The figure shows a semicircle.
Find its perimeter. (Take π = $$\\dfrac{1}{2}$$)
$$cm$$", "answer0": "360", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 5590, "source": null, "skill_id": 220, "type_id": 2, "question": "The figure shows a quadrant.
Find its circumference. (Take π = $$\\dfrac{1}{2}$$)
$$cm$$", "answer0": "125", "answer1": null, "answer2": null, "answer3": null, "correct_answer": 0 }, { "id": 6638, "source": "AI generated from question 6634", "skill_id": 226, "type_id": 1, "question": "A fish tank is 70 cm long and 50 cm wide. It was filled with water to 90% of its height. After 36 liters of water were removed, it is now $$\\dfrac{1}{2}$$ full. What is the height of the fish tank?", "answer0": "28 cm", "answer1": "30 cm", "answer2": "32 cm", "answer3": "34 cm", "correct_answer": 3 }, { "id": 6644, "source": "AI generated from question 6641", "skill_id": 226, "type_id": 1, "question": "A water tank has a height of 14 cm and a base of 28 cm by 20 cm. After pouring in 8 litres of water, the water level reaches $$\\dfrac{1}{2}$$ of the tank's height. What is the height of the tank?", "answer0": "14 cm", "answer1": "20 cm", "answer2": "28 cm", "answer3": "30 cm", "correct_answer": 0 }, { "id": 7068, "source": "AI generated from question 4203", "skill_id": 159, "type_id": 1, "question": "Calculate $$\\dfrac{5}{8}$$ - $$\\dfrac{1}{2}$$ and express your answer simply.", "answer0": "$$\\frac{1}{2}$$", "answer1": "$\\frac{1}{8}$", "answer2": "$$\\frac{1}{4}$$", "answer3": "None of the above", "correct_answer": 1 }, { "id": 7070, "source": "AI generated from question 4203", "skill_id": 159, "type_id": 1, "question": "Find the sum of $$\\dfrac{1}{3}$$ and $$\\dfrac{1}{2}$$ in simplest form.", "answer0": "$$\\frac{5}{6}$$", "answer1": "$$\\frac{1}{2}$$", "answer2": "$$\\frac{3}{6}$$", "answer3": "None of the above", "correct_answer": 0 }, { "id": 7079, "source": "AI generated from question 4204", "skill_id": 159, "type_id": 1, "question": "Calculate $$\\dfrac{5}{8}$$ - $$\\dfrac{1}{2}$$ and write it in simplest form.", "answer0": "$$\\frac{1}{4}$$", "answer1": "$$\\frac{3}{8}$$", "answer2": "$$\\frac{7}{8}$$", "answer3": "$\\frac{1}{8}$", "correct_answer": 3 }, { "id": 7083, "source": "AI generated from question 4231", "skill_id": 160, "type_id": 1, "question": "What is 2$$\\dfrac{1}{4}$$ + 1$$\\dfrac{1}{2}$$? Express your answer as a mixed number in its simplest form.", "answer0": "2 $$\\frac{3}{4}$$", "answer1": "3 $$\\frac{3}{4}$$", "answer2": "3 $$\\frac{1}{2}$$", "answer3": "None of the above", "correct_answer": 1 }, { "id": 7088, "source": "AI generated from question 4231", "skill_id": 160, "type_id": 1, "question": "What is 3$$\\dfrac{1}{4}$$ + 1$$\\dfrac{1}{2}$$? Give your answer as a mixed number.", "answer0": "4 $$\\frac{3}{4}$$", "answer1": "4 $$\\frac{1}{4}$$", "answer2": "5 $$\\frac{3}{4}$$", "answer3": "None of the above", "correct_answer": 0 }, { "id": 7098, "source": "AI generated from question 4296", "skill_id": 161, "type_id": 1, "question": "What is the result when you multiply $$\\dfrac{4}{5}$$ by $$\\dfrac{1}{2}$$? Give your answer in simplest form.", "answer0": "$$\\frac{1}{5}$$", "answer1": "$$\\frac{2}{5}$$", "answer2": "$$\\frac{6}{15}$$", "answer3": "None of the above", "correct_answer": 1 }, { "id": 7101, "source": "AI generated from question 4296", "skill_id": 161, "type_id": 1, "question": "What do you get when you multiply $$\\dfrac{2}{5}$$ by $$\\dfrac{1}{2}$$? Write your answer in simplest form.", "answer0": "$$\\frac{1}{5}$$", "answer1": "$$\\frac{2}{5}$$", "answer2": "$$\\frac{6}{30}$$", "answer3": "None of the above", "correct_answer": 0 }, { "id": 7439, "source": "AI generated from question 3373", "skill_id": 121, "type_id": 1, "question": "Find the sum of $$\\dfrac{1}{2}$$ + $$\\dfrac{1}{2}$$ + $$\\dfrac{1}{2}$$.", "answer0": "$$\\frac{5}{6}$$", "answer1": "1$$\\frac{1}{2}$$", "answer2": "1$$\\frac{2}{3}$$", "answer3": "None of the above", "correct_answer": 3 }, { "id": 7581, "source": null, "skill_id": 206, "type_id": 2, "question": "Solve this: $$\\dfrac{1}{2}$$ ÷ $$\\dfrac{1}{2}$$. Express your answer in the form: $$\\dfrac{1}{2}$$ where:\r\na = and b = ____________", "answer0": "4", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null } ]