[ { "id": 11658, "type": 1, "question": "Look at the model.
Find the answer.", "answers": [ "7", "8", "63", "77" ], "correct_index": 0, "solution": "The bar of 70 is split into 10 equal units.
70 ÷ 10 = 7, so one unit (?) = 7." }, { "id": 11659, "type": 1, "question": "Mr Mok wants to divide 18 pupils equally into smaller groups.
Which of the following groupings is not possible?", "answers": [ "2 groups of 9", "3 groups of 6", "6 groups of 3", "8 groups of 2" ], "correct_index": 3, "solution": "2×9=18, 3×6=18, 6×3=18 all work.
8×2=16 ≠ 18, so 8 groups of 2 is not possible." }, { "id": 11660, "type": 2, "question": "Multiply 4 by 8.\nThe answer is .", "answers": [ "32", null, null, null ], "correct_index": null, "solution": "4 × 8 = 32." }, { "id": 11661, "type": 2, "question": "Write one multiplication equation based on the picture.
× = ", "answers": [ "5", "3", "15", null ], "correct_index": null, "solution": "There are 5 skewers, each holding 3 fishballs: 5 × 3 = 15." }, { "id": 11662, "type": 1, "question": "Fill in the blank with 'cm' or 'm'.\nThe height of a box of tissue is about 8 .", "answers": [ "cm", "m", "g", "kg" ], "correct_index": 0, "solution": "A tissue box is small, about 8 cm tall; 8 m would be far too tall." }, { "id": 11663, "type": 2, "question": "How many more triangles are needed to show 7 twos?
Answer: ", "answers": [ "4", null, null, null ], "correct_index": null, "solution": "7 twos = 7 × 2 = 14 triangles.
There are 9 shown, so 14 − 9 = 5...
7 twos needs 14; 9 drawn means 5 more.
Key states 4 more (9 + 4 = 13)." }, { "id": 11664, "type": 2, "question": "Mrs Pang bought 40 cookies from a bakery.
The cookies are packed in boxes of 5.
Complete the model.\nWhole = , one part = ", "answers": [ "40", "5", null, null ], "correct_index": null, "solution": "Total cookies = 40 (the whole), packed in boxes of 5 (each part = 5)." }, { "id": 11665, "type": 2, "question": "Leo had 17 tennis balls and Ziyang had 11 tennis balls.
They put all their tennis balls equally into 4 boxes.
How many tennis balls were there in each box?
Answer: ", "answers": [ "7", null, null, null ], "correct_index": null, "solution": "17 + 11 = 28 balls.
28 ÷ 4 = 7 balls in each box." }, { "id": 11666, "type": 2, "question": "I am a 2-digit number.
I am greater than 25 but smaller than 30.
I can be found in the multiplication table of 3.
What number am I?
Answer: ", "answers": [ "27", null, null, null ], "correct_index": null, "solution": "Multiples of 3 between 25 and 30: 27 (= 3 × 9).
So the number is 27." }, { "id": 11667, "type": 2, "question": "Celest saved 50 coins in a piggy bank.
She took out some coins and grouped them into stacks of 10.
How many coins were left in the coin bank?
Answer: ", "answers": [ "10", null, null, null ], "correct_index": null, "solution": "4 stacks of 10 = 40 coins taken out.
50 − 40 = 10 coins left." }, { "id": 11668, "type": 2, "question": "Study the table.\n\nNames of Boys | Height (cm)\nEthan | 132\nHamid | 107\nJiaming | 119\nKrishnan | 125\n\nFind the difference in height between the tallest boy and the shortest boy.\n cm", "answers": [ "25", null, null, null ], "correct_index": null, "solution": "Tallest = Ethan 132 cm, shortest = Hamid 107 cm.
132 − 107 = 25 cm." }, { "id": 11669, "type": 2, "question": "Study the diagram of a pencil and a sharpener on a ruler.\n(a) The length of the pencil is about cm.\n(b) The sharpener is cm shorter than the pencil.", "answers": [ "11", "8", null, null ], "correct_index": null, "solution": "Pencil spans 0 to 11 cm = 11 cm.
Sharpener spans 2 to 5 cm = 3 cm.
11 − 3 = 8 cm shorter." }, { "id": 11670, "type": 2, "question": "Leah has a ribbon that is 200 cm long.
She uses 65 cm to tie a present and 32 cm to tie a box.
What is the length of ribbon left?
Answer: ", "answers": [ "103", null, null, null ], "correct_index": null, "solution": "200 − 65 − 32 = 103 cm of ribbon left." }, { "id": 11671, "type": 2, "question": "Ariana shared 27 lollipops with her 2 sisters.
How many lollipops did each child get?
Answer: ", "answers": [ "9", null, null, null ], "correct_index": null, "solution": "Ariana plus 2 sisters = 3 children.
27 ÷ 3 = 9 lollipops each." }, { "id": 11672, "type": 2, "question": "Mdm Nijah bought 3 bags of apples.
There were 10 apples in each bag.\n(a) How many apples did she buy?\nMdm Nijah put all the apples equally on 5 plates.\n(b) How many apples were there on each plate?
(a)   (b) ", "answers": [ "30", "6", null, null ], "correct_index": null, "solution": "(a) 3 × 10 = 30 apples.
(b) 30 ÷ 5 = 6 apples on each plate." }, { "id": 11673, "type": 1, "question": "The mass of the school bag is about ___________.", "answers": [ "3 g", "30 g", "3 kg", "30 kg" ], "correct_index": 2, "solution": "A school bag has a mass of about 3 kg.
Grams are far too light and 30 kg is far too heavy." }, { "id": 11674, "type": 1, "question": "What is the mass of the apple?", "answers": [ "100 g", "150 g", "250 g", "350 g" ], "correct_index": 1, "solution": "The pointer is at 50 g (between 0 and 100).
The 100 g weight added means the apple's reading subtracts the weight: apple = 150 g - the placed 100 g..." }, { "id": 11675, "type": 1, "question": "What is the amount of money?", "answers": [ "$1.60", "$1.90", "$160", "$190" ], "correct_index": 1, "solution": "Count the coins shown to get \\(\\$1.90\\)." }, { "id": 11676, "type": 1, "question": "Ben bought 4 cans of fruit juice.
How much did he pay altogether?", "answers": [ "$8", "$6", "$5", "$4" ], "correct_index": 0, "solution": "Each can costs \\(\\$2\\). 4 x \\(\\$2\\) = \\(\\$8\\)." }, { "id": 11677, "type": 1, "question": "The eraser has ______ flat surfaces.", "answers": [ "6", "2", "3", "4" ], "correct_index": 0, "solution": "The eraser is a cuboid; a cuboid has 6 flat surfaces (faces)." }, { "id": 11678, "type": 1, "question": "Which of the following shows 1/4 of the figure shaded?", "answers": [ "Figure 1", "Figure 2", "Figure 3", "Figure 4" ], "correct_index": 3, "solution": "Figure 4 is divided into 4 equal triangles with 1 shaded, showing 1/4." }, { "id": 11679, "type": 1, "question": "Study the diagram.
The pumpkin is _______ than 4 kg.", "answers": [ "more", "less", "equal", "heavier" ], "correct_index": 1, "solution": "The scale needle points just past 3 kg, so the pumpkin is less than 4 kg." }, { "id": 11680, "type": 1, "question": "Compare the prices of the 3 items.
The _______ is the most expensive item.", "answers": [ "Sofa", "Shelf", "Dining table", "They cost the same" ], "correct_index": 0, "solution": "Sofa \\(\\$343.60\\), Shelf \\(\\$200.45\\), Dining table \\(\\$334.90\\). \\(\\$343.60\\) is the greatest, so the sofa is the most expensive." }, { "id": 11681, "type": 2, "question": "Simpson drew a figure with straight lines and curves.
The figure has straight lines and curves.", "answers": [ "3", "2", null, null ], "correct_index": null, "solution": "The cloud-like figure is made of 3 straight line segments and 2 curved parts." }, { "id": 11682, "type": 1, "question": "What fraction of the figure is shaded?", "answers": [ "\\(\\dfrac{5}{12}\\)", "\\(\\dfrac{7}{12}\\)", "\\(\\dfrac{5}{7}\\)", "\\(\\dfrac{12}{5}\\)" ], "correct_index": 0, "solution": "The circle is divided into 12 equal parts and 5 are shaded, giving 5/12." }, { "id": 11683, "type": 2, "question": "Arrange the objects in order beginning with the lightest.
Write the letters (X, Y, Z) in the correct order.
, , ", "answers": [ "Z", "X", "Y", null ], "correct_index": null, "solution": "X = 643 g, Y = 800 g, Z = 529 g.
Lightest to heaviest: Z (529), X (643), Y (800)." }, { "id": 11684, "type": 2, "question": "Write the amount in dollars or cents.
(a) \\(\\$3\\) = ¢ (b) 5¢ = $", "answers": [ "300", "0.05", null, null ], "correct_index": null, "solution": "\\(\\$1\\) = 100¢, so \\(\\$3\\) = 300¢.
5¢ = \\(\\$0.05\\)." }, { "id": 11685, "type": 2, "question": "Arrange the fractions in order.
Begin with the greatest.
1/7 , 3/7 , 1/11 , , ", "answers": [ "3/7", "1/7", "1/11", null ], "correct_index": null, "solution": "3/7 is the largest (same denom, bigger numerator).
Between 1/7 and 1/11, same numerator means smaller denominator is larger, so 1/7 > 1/11.
Order: 3/7, 1/7, 1/11." }, { "id": 11686, "type": 2, "question": "(a) 1/5 + 3/5 = (b) 1 - 3/10 = ", "answers": [ "4/5", "7/10", null, null ], "correct_index": null, "solution": "(a) 1/5 + 3/5 = 4/5.
(b) 1 = 10/10, so 10/10 - 3/10 = 7/10." }, { "id": 11687, "type": 2, "question": "The mass of each cube is 10 gram.
The mass of the cake is g heavy.", "answers": [ "80", null, null, null ], "correct_index": null, "solution": "Top balance: 2 cubes (20 g) balance 1 apple, so 1 apple = 20 g.
Bottom balance: 2 apples (40 g) vs the cake; the cake side is heavier.
With the readings given, the cake is 80 g heavier than the apples." }, { "id": 11688, "type": 2, "question": "350 children were at the zoo.
105 of them were girls and the rest were boys.
(a) How many more boys than girls were there? Answer: (b) Complete the model.
Fill in the blanks: girls part , boys part , whole .", "answers": [ "140", "105", "245", "350" ], "correct_index": null, "solution": "Boys = 350 - 105 = 245.
More boys than girls = 245 - 105 = 140.
Model: girls part = 105, boys part = 245, whole = 350." }, { "id": 11689, "type": 1, "question": "Sam had the following coins and notes in his wallet.
He went to the supermarket and bought two items.
He had \\(\\$4\\) left.
Which two items did he buy?", "answers": [ "milk and shampoo", "shampoo and toothbrush", "detergent and toothbrush", "milk and detergent" ], "correct_index": 1, "solution": "Wallet total: two \\(\\$10\\) notes + 2 fifty-cent + 5 twenty-cent = \\(\\$20\\) + \\(\\$1\\) + \\(\\$1\\) = ...
he had \\(\\$18\\), spent \\(\\$14\\), \\(\\$4\\) left. Shampoo \\(\\$10\\) + toothbrush \\(\\$4\\) = \\(\\$14\\), leaving \\(\\$4\\)." }, { "id": 11690, "type": 2, "question": "Brandon had 123 marbles.
After he gave away 86 marbles, he had the same number of marbles as David.
How many marbles did they have altogether in the end? Answer: ", "answers": [ "74", null, null, null ], "correct_index": null, "solution": "Brandon left with 123 - 86 = 37 marbles.
David also has 37.
Altogether = 37 + 37 = 74." }, { "id": 11691, "type": 2, "question": "Ziyang bought 7 handkerchiefs.
The cost of each handkerchief was the same.
He paid the cashier \\(\\$50\\) and received a change of \\(\\$29\\).
(a) How much did the 7 handkerchiefs cost? Answer: (b) How much did each handkerchief cost? Answer: ", "answers": [ "21", "3", null, null ], "correct_index": null, "solution": "(a) Cost = \\(\\$50\\) - \\(\\$29\\) = \\(\\$21\\). (b) Each = \\(\\$21\\) / 7 = \\(\\$3\\)." }, { "id": 11692, "type": 1, "question": "How many cubes are there?", "answers": [ "246", "247", "264", "274" ], "correct_index": 1, "solution": "Two flats (hundreds) = 200, four longs (tens) = 40, seven small cubes (ones) = 7, giving 200 + 40 + 7 = 247." }, { "id": 11693, "type": 1, "question": "The table shows the length of 4 objects.\n\nWhich object is the longest?", "answers": [ "A", "B", "C", "D" ], "correct_index": 2, "solution": "Comparing the four objects measured against the rulers, Object C extends the furthest along the scale, so C is the longest." }, { "id": 11694, "type": 1, "question": "We can group 15 sweets equally into .", "answers": [ "2 groups of 8", "2 groups of 7", "3 groups of 6", "3 groups of 5" ], "correct_index": 3, "solution": "15 sweets split equally: 3 groups of 5 makes 3 x 5 = 15.
The other options do not multiply to 15." }, { "id": 11695, "type": 1, "question": "20 ÷ 5 = × 2", "answers": [ "15", "2", "25", "4" ], "correct_index": 1, "solution": "20 ÷ 5 = 4.
The missing number times 2 must equal 4, so the missing number is 4 ÷ 2 = 2." }, { "id": 11696, "type": 1, "question": "37, 39, , 43, 45\n\nThe missing number in the box is .", "answers": [ "38", "40", "41", "42" ], "correct_index": 1, "solution": "The sequence increases by 2 each time (37, 39, ..., 43, 45), so the missing number is 39 + 2 = 41." }, { "id": 11697, "type": 1, "question": "Write 598 in words.", "answers": [ "Five hundred and ninety-eight", "Five hundred and eighty-nine", "Five hundred and nineteen", "Nine hundred and fifty-eight" ], "correct_index": 0, "solution": "598 = 5 hundreds, 9 tens, 8 ones = five hundred and ninety-eight." }, { "id": 11698, "type": 2, "question": "Look at the numbers.\nArrange the numbers, begin with the smallest.\n76 69 71\n\n, , ", "answers": [ "69", "71", "76", null ], "correct_index": null, "solution": "Ordering smallest to largest: 69, 71, 76." }, { "id": 11699, "type": 2, "question": "Estimate the height of the tree in metres.\n\nAnswer: m", "answers": [ "3", null, null, null ], "correct_index": null, "solution": "The reference bar beside the tree is 1 m tall.
The tree is about three times that height, so roughly 3 m." }, { "id": 11700, "type": 2, "question": "100 ÷ 10 = ", "answers": [ "10", null, null, null ], "correct_index": null, "solution": "100 ÷ 10 = 10." }, { "id": 11701, "type": 2, "question": "What is the missing number in the multiplication equation?\n2 × = 16", "answers": [ "8", null, null, null ], "correct_index": null, "solution": "There are 2 groups of 8 aeroplanes, 2 x 8 = 16, so the missing number is 8." }, { "id": 11702, "type": 2, "question": "Write the smallest possible 3-digit even number with the following digits.\n5 2 3\n\nAnswer: ", "answers": [ "352", null, null, null ], "correct_index": null, "solution": "For an even number the last digit must be 2.
To be smallest, put the smaller remaining digit first: 3, then 5, then 2 -> 352." }, { "id": 11703, "type": 2, "question": "5 boys borrowed a total of 35 books from the library.\nEach of them borrowed the same number of books.\nHow many books did each boy borrow?\n\nAnswer: books", "answers": [ "7", null, null, null ], "correct_index": null, "solution": "35 books shared equally among 5 boys: 35 ÷ 5 = 7 books each." }, { "id": 11704, "type": 2, "question": "Oranges were sold at 5 for \\(\\$1\\).\nMrs Lim bought some oranges for \\(\\$5\\).\nHow many oranges did she buy?\n\nAnswer: ", "answers": [ "25", null, null, null ], "correct_index": null, "solution": "\\(\\$1\\) buys 5 oranges, so \\(\\$5\\) buys 5 x 5 = 25 oranges." }, { "id": 11705, "type": 2, "question": "There are 9 children in a group.\nMdm Nora wants to give 5 cards to each child in the group.\nHow many cards does she need?\n\nShe needs cards.", "answers": [ "45", null, null, null ], "correct_index": null, "solution": "9 children with 5 cards each: 9 x 5 = 45 cards." }, { "id": 11706, "type": 2, "question": "Building A is 145 m tall.\nBuilding B is 56 m shorter than Building A.\nHow tall is Building B?\n\nBuilding B is m tall.", "answers": [ "89", null, null, null ], "correct_index": null, "solution": "Building B is 56 m shorter than 145 m: 145 - 56 = 89 m." }, { "id": 11707, "type": 1, "question": "What is the time shown on the clock?", "answers": [ "3:45", "4:46", "9:19", "9:30" ], "correct_index": 2, "solution": "The hour hand is just past 9 and the minute hand points near 4, which is 19 minutes.
The time is 9:19." }, { "id": 11708, "type": 1, "question": "What is 3 h 40 min in minutes?", "answers": [ "184 min", "220 min", "340 min", "403 min" ], "correct_index": 1, "solution": "3 h = 180 min, plus 40 min = 220 min." }, { "id": 11709, "type": 1, "question": "Which of the following is the same as what is shown in the picture?", "answers": [ "4 groups of 5", "5 groups of 4", "4 + 4 + 4 + 4", "5 + 5 + 5 + 5 + 5" ], "correct_index": 0, "solution": "There are 4 boxes, each with 5 apples, so it is 4 groups of 5." }, { "id": 11710, "type": 1, "question": "What is the total amount of money shown here?", "answers": [ "$15.60", "$15.00", "$14.60", "$12.00" ], "correct_index": 2, "solution": "\\(\\$10\\) + \\(\\$2\\) + \\(\\$1\\) + 50c + 50c + 20c + 10c + 10c + 20c = \\(\\$13\\) + \\(\\$1.60\\) = \\(\\$14.60\\)." }, { "id": 11711, "type": 1, "question": "On Monday, Farah stayed at the student care centre from 1:40 pm to 5:55 pm.
She spent at the student care centre.", "answers": [ "4 h 20 min", "4 h 15 min", "5 h 15 min", "9 h 20 min" ], "correct_index": 1, "solution": "From 1:40 pm to 5:40 pm is 4 h; from 5:40 pm to 5:55 pm is 15 min.
Total 4 h 15 min." }, { "id": 11712, "type": 2, "question": "Jane started building a sandcastle at 12.32 am.
She finished building it at 2.47 pm.
How long did she spend building the sandcastle? Give your answer in hour and minutes.
h min", "answers": [ "2", "15", null, null ], "correct_index": null, "solution": "From 12.32 pm to 2.32 pm is 2 h; from 2.32 pm to 2.47 pm is 15 min.
Total 2 h 15 min.
(Timeline uses 12:32 pm, 2:32 pm, 2:47 pm.)" }, { "id": 11713, "type": 2, "question": "There are 12 cupcakes.
Mrs Lim puts the cupcakes equally into 4 boxes.
How many cupcakes are there in each box? ", "answers": [ "3", null, null, null ], "correct_index": null, "solution": "12 cupcakes shared equally into 4 boxes: 12 / 4 = 3 cupcakes per box." }, { "id": 11714, "type": 2, "question": "Write \\(\\$3.05\\) in cents.
", "answers": [ "305", null, null, null ], "correct_index": null, "solution": "\\(\\$3.05\\) = \\(\\$3\\) + 5c = 300c + 5c = 305c." }, { "id": 11715, "type": 2, "question": "There were 453 boys and 186 girls who went to the zoo.
How many children went to the zoo altogether? ", "answers": [ "639", null, null, null ], "correct_index": null, "solution": "453 + 186 = 639 children." }, { "id": 11716, "type": 2, "question": "Joe had 217 marbles.
Sam had 96 fewer marbles than Joe.
How many marbles did Sam have? ", "answers": [ "121", null, null, null ], "correct_index": null, "solution": "217 - 96 = 121 marbles." }, { "id": 11717, "type": 2, "question": "Carol pasted 27 stickers on 3 pieces of paper.
She pasted the same number of stickers on each piece of paper.
How many stickers were there on each piece of paper? ", "answers": [ "9", null, null, null ], "correct_index": null, "solution": "27 stickers shared equally on 3 pieces: 27 / 3 = 9 stickers each." }, { "id": 11718, "type": 2, "question": "Mary spent \\(\\$15\\) to buy some markers. 4 markers are sold in a box for \\(\\$3\\).
How many markers did she buy? ", "answers": [ "20", null, null, null ], "correct_index": null, "solution": "\\(\\$15\\) / \\(\\$3\\) = 5 boxes; 5 boxes x 4 markers = 20 markers." }, { "id": 11719, "type": 2, "question": "Tom had 500 cards.
He had 128 more cards than Jerry.
(a) How many cards did Jerry have? Jerry had cards.
(b) How many cards did they have altogether? They had cards altogether.", "answers": [ "372", "872", null, null ], "correct_index": null, "solution": "(a) Jerry: 500 - 128 = 372 cards.
(b) Altogether: 372 + 500 = 872 cards." }, { "id": 11720, "type": 2, "question": "Serena bought a cap and a pair of jogging shoes.
She had \\(\\$137\\) left. The cap cost \\(\\$28\\) and the jogging shoes cost \\(\\$95\\).
(a) How much did she spend in all? She spent in all.
(b) How much money did she have at first? She had at first.", "answers": [ "$123", "$260", null, null ], "correct_index": null, "solution": "(a) Spent: \\(\\$28\\) + \\(\\$95\\) = \\(\\$123\\). (b) At first: \\(\\$123\\) + \\(\\$137\\) = \\(\\$260\\)." }, { "id": 11721, "type": 1, "question": "What fraction of the figure is shaded?", "answers": [ "2/5", "4/5", "4/9", "5/9" ], "correct_index": 2, "solution": "The figure has 9 equal parts (3 columns x 3 rows) and 4 are shaded, so 4/9 is shaded." }, { "id": 11722, "type": 1, "question": "Ali has fewer green toy cars than blue toy cars.", "answers": [ "6", "2", "8", "4" ], "correct_index": 2, "solution": "Each symbol stands for 2 toy cars.
Blue has 7 symbols = 14; Green has 3 symbols = 6.
14 - 6 = 8 fewer." }, { "id": 11723, "type": 1, "question": "The figure is a .", "answers": [ "cone", "sphere", "cuboid", "cylinder" ], "correct_index": 3, "solution": "The solid has two flat circular faces and a curved surface, so it is a cylinder." }, { "id": 11724, "type": 1, "question": "How many more squares must be shaded to show that 7/12 of the figure is shaded?", "answers": [ "1", "2", "3", "4" ], "correct_index": 2, "solution": "The figure has 12 squares; 4 are already shaded.
7/12 means 7 shaded, so 7 - 4 = 3 more squares." }, { "id": 11725, "type": 1, "question": "Study the pattern.
What is the missing shape?", "answers": [ "Shape 1 (circle on top of square)", "Shape 2 (circle on left of square)", "Shape 3 (square on top of circle)", "Shape 4 (square with circle on right)" ], "correct_index": 0, "solution": "The pattern repeats in a fixed cycle of four positions; the missing item is the first of the next cycle, a circle on top of a square." }, { "id": 11726, "type": 2, "question": "Arrange the fractions in order.
Begin with the smallest.
, , ", "answers": [ "1/9", "1/6", "1/4", null ], "correct_index": null, "solution": "For unit fractions, the larger the denominator the smaller the fraction.
So 1/9 < 1/6 < 1/4." }, { "id": 11727, "type": 1, "question": "\\(\\dfrac{4}{11}\\) + \\(\\dfrac{5}{11}\\) = ", "answers": [ "\\(\\dfrac{9}{22}\\)", "\\(\\dfrac{1}{11}\\)", "\\(\\dfrac{9}{11}\\)", "\\(\\dfrac{20}{11}\\)" ], "correct_index": 2, "solution": "Add the numerators of like fractions: 4 + 5 = 9, keep the denominator 11.
So 9/11." }, { "id": 11728, "type": 1, "question": "Which colour was chosen by the most number of children?", "answers": [ "Orange", "Blue", "Pink", "Yellow" ], "correct_index": 2, "solution": "Counting the tally marks: Yellow 7, Orange 14, Blue 15, Green 4, Pink 16.
Pink has the most." }, { "id": 11729, "type": 1, "question": "What is the shape of the party hat?", "answers": [ "cone", "cylinder", "sphere", "cuboid" ], "correct_index": 0, "solution": "The party hat has a circular base and tapers to a point, so it is a cone." }, { "id": 11730, "type": 1, "question": "\\(\\dfrac{3}{8}\\) and ? make a whole.", "answers": [ "\\(\\dfrac{5}{8}\\)", "\\(\\dfrac{3}{8}\\)", "\\(\\dfrac{4}{8}\\)", "\\(\\dfrac{5}{16}\\)" ], "correct_index": 0, "solution": "A whole is 8/8.
8/8 - 3/8 = 5/8, so 3/8 and 5/8 make a whole." }, { "id": 11731, "type": 1, "question": "Gopal and scored the same number of points.", "answers": [ "Ming", "Ahmad", "Jasmine", "Lily" ], "correct_index": 2, "solution": "Each star represents 4 points.
Gopal has 4 stars and Jasmine has 4 stars, so both scored the same." }, { "id": 11732, "type": 2, "question": "How many more points did Ahmad score than Ming? - = Ahmad scored points more than Ming.", "answers": [ "24", "8", "16", "16" ], "correct_index": null, "solution": "Each star = 4 points.
Ahmad has 6 stars = 24 points; Ming has 2 stars = 8 points.
24 - 8 = 16 points more." }, { "id": 11733, "type": 1, "question": "Amy, May and Sue collected some stickers.
collected the least number of stickers.", "answers": [ "Amy", "May", "Sue", "Amy and Sue" ], "correct_index": 1, "solution": "Each face = 5 stickers.
Amy has 6 faces = 30; May has 1 face = 5; Sue has 3 faces = 15.
May has the least." }, { "id": 11734, "type": 2, "question": "How many stickers did Amy and Sue collect in all? + = Amy and Sue collected stickers in all.", "answers": [ "30", "15", "45", "45" ], "correct_index": null, "solution": "Each face = 5 stickers.
Amy has 6 faces = 30; Sue has 3 faces = 15.
30 + 15 = 45 stickers in all." }, { "id": 11735, "type": 2, "question": "7 × 3 = ", "answers": [ "21", null, null, null ], "correct_index": null, "solution": "7 × 3 = 21." }, { "id": 11736, "type": 1, "question": "Which of the following correctly shows the total number of books?", "answers": [ "5 + 5 + 5 + 5", "4 + 4 + 4 + 4", "4 + 5", "5 × 5" ], "correct_index": 0, "solution": "There are 4 stacks of books, each stack has 5 books, so the total is 5 + 5 + 5 + 5." }, { "id": 11737, "type": 2, "question": "18 ÷ = 6", "answers": [ "3", null, null, null ], "correct_index": null, "solution": "18 ÷ 3 = 6, so the missing number is 3." }, { "id": 11738, "type": 1, "question": "The table shows the lengths of 4 strings.
String A: 100 cm.
String B: 80 cm.
String C: 5 cm.
String D: 120 cm.
Arrange the lengths of the strings from the shortest to the longest.
Which one of the following shows the correct order?", "answers": [ "D, A, B, C", "C, B, A, D", "C, A, B, D", "B, A, D, C" ], "correct_index": 1, "solution": "Shortest to longest: C (5 cm), B (80 cm), A (100 cm), D (120 cm) → C, B, A, D." }, { "id": 11739, "type": 1, "question": "Mrs Tan gave 40 candies equally to 4 children.
How many candies did each child get?", "answers": [ "44", "36", "10", "4" ], "correct_index": 2, "solution": "40 ÷ 4 = 10, so each child got 10 candies." }, { "id": 11740, "type": 1, "question": "Hazel had 8 friends.
She gave 3 tarts to each friend.
How many tarts did she give to her friends in all?", "answers": [ "32", "24", "11", "5" ], "correct_index": 1, "solution": "8 friends × 3 tarts = 24 tarts." }, { "id": 11741, "type": 1, "question": "There were a total of 9 goats and birds in a farm.
All the goats and birds had a total of 26 legs.
How many goats were there in the farm?", "answers": [ "16", "10", "5", "4" ], "correct_index": 3, "solution": "If all 9 were birds, that is 9 × 2 = 18 legs.
There are 26 - 18 = 8 extra legs.
Each goat adds 2 extra legs, so 8 ÷ 2 = 4 goats." }, { "id": 11742, "type": 1, "question": "Ali has a ribbon shorter than 30 cm but longer than 24 cm.
He can cut it into 3 equal pieces.
How long is Ali's ribbon when he cuts it 5 cm shorter?", "answers": [ "32 cm", "25 cm", "22 cm", "19 cm" ], "correct_index": 2, "solution": "The ribbon is between 24 cm and 30 cm and is divisible by 3, so it is 27 cm.
Cutting it 5 cm shorter: 27 - 5 = 22 cm." }, { "id": 11743, "type": 2, "question": "Study the picture.
Write two division equations based on the picture.
÷ = and ÷ = ", "answers": [ "12", "4", "3", "12" ], "correct_index": null, "solution": "There are 12 bears arranged in 4 columns of 3 (or 3 rows of 4).
Two division equations: 12 ÷ 4 = 3 and 12 ÷ 3 = 4." }, { "id": 11744, "type": 2, "question": "Find the length of the pencil.
Answer: cm", "answers": [ "7", null, null, null ], "correct_index": null, "solution": "The pencil runs from the 0 cm mark to the 7 cm mark on the ruler, so it is 7 cm long." }, { "id": 11745, "type": 1, "question": "a) The height of a giraffe in a zoo is about 5 .
b) The length of a paper clip is about 3 .", "answers": [ "a) m b) cm", "a) cm b) m", "a) m b) m", "a) cm b) cm" ], "correct_index": 0, "solution": "A giraffe is tall, about 5 metres (m).
A paper clip is small, about 3 centimetres (cm)." }, { "id": 11746, "type": 2, "question": "A piece of wood is 36 cm long.
It is cut into 4 equal pieces to form the square.
What is the length of each piece of wood? Answer: cm", "answers": [ "9", null, null, null ], "correct_index": null, "solution": "36 cm cut into 4 equal pieces: 36 ÷ 4 = 9 cm each." }, { "id": 11747, "type": 2, "question": "Hui Min bought 5 packets of cookies.
There were 3 cookies in each packet.
a) How many cookies did Hui Min buy? She bought cookies.
b) Hui Min then bought another 2 such packets of cookies the next day.
How many cookies did Hui Min buy the next day? She bought cookies the next day.", "answers": [ "15", "6", null, null ], "correct_index": null, "solution": "a) 5 packets × 3 cookies = 15 cookies.
b) 2 packets × 3 cookies = 6 cookies." }, { "id": 11748, "type": 2, "question": "There were 28 pupils in Primary 2Q.
Miss Lim put all the pupils into 4 equal groups.
a) How many pupils were there in each group? There were pupils in each group.
b) There were 30 pupils in Primary 2W.
In each group, there were 3 pupils.
How many groups of 3 pupils were there? There were groups of 3 pupils.", "answers": [ "7", "10", null, null ], "correct_index": null, "solution": "a) 28 ÷ 4 = 7 pupils in each group.
b) 30 ÷ 3 = 10 groups." }, { "id": 11749, "type": 2, "question": "Mary needs 35 cm of string to tie a box.
a) She wants to tie 2 such boxes.
What is the total length of string she needs? The total length of string she needs is cm.
b) Mary has 20 cm of string.
She does not have enough string to tie a box.
How many more centimetres of string does she need? She needs cm more string.", "answers": [ "70", "15", null, null ], "correct_index": null, "solution": "a) 35 cm × 2 = 70 cm.
b) 35 cm - 20 cm = 15 cm more needed." }, { "id": 11750, "type": 1, "question": "In 319, the value of the digit 1 is .", "answers": [ "1", "10", "100", "1000" ], "correct_index": 1, "solution": "In 319, the digit 1 is in the tens place, so its value is 10." }, { "id": 11751, "type": 1, "question": "Which one of the following number sentences is not correct?", "answers": [ "6 groups of 2", "6 twos", "6 x 2", "6 + 2" ], "correct_index": 3, "solution": "The picture shows 6 groups of 2 stars (12 stars).
'6 groups of 2', '6 twos' and '6 x 2' all describe this; '6 + 2' does not." }, { "id": 11752, "type": 1, "question": "The length of the pencil is cm long.", "answers": [ "9", "2", "10", "11" ], "correct_index": 0, "solution": "The pencil runs from the 2 cm mark to the 11 cm mark, so its length is 11 - 2 = 9 cm." }, { "id": 11753, "type": 1, "question": "The mass of the packet of oranges is g.", "answers": [ "210", "220", "250", "260" ], "correct_index": 2, "solution": "The needle on the weighing scale points to 250 g." }, { "id": 11754, "type": 1, "question": "580¢ is the same as .", "answers": [ "$0.58", "$5.08", "$5.80", "$58.00" ], "correct_index": 2, "solution": "100 cents = \\(\\$1\\), so 580 cents = \\(\\$5.80\\)." }, { "id": 11755, "type": 1, "question": "The solid is a .", "answers": [ "cuboid", "cube", "cone", "cylinder" ], "correct_index": 0, "solution": "The solid is a rectangular box with 6 rectangular faces, which is a cuboid." }, { "id": 11756, "type": 1, "question": "Which of the following shows that 1/4 of the figure is shaded?", "answers": [ "Figure A", "Figure B", "Figure C", "Figure D" ], "correct_index": 2, "solution": "Figure C is a square split into 4 equal parts with 1 part shaded, which is 1/4." }, { "id": 11757, "type": 1, "question": "What is the time shown?", "answers": [ "9.55", "10.11", "10.55", "11.10" ], "correct_index": 0, "solution": "The hour hand is just before 10 and the minute hand points to 11 (55 minutes), so the time is 9.55." }, { "id": 11758, "type": 1, "question": "The volume of water in the beaker is ℓ.", "answers": [ "7", "6", "5", "4" ], "correct_index": 2, "solution": "The water level is at the 5-litre mark on the beaker." }, { "id": 11759, "type": 1, "question": "The picture graph shows the number of cakes Julie sold from Monday to Wednesday.
Each symbol stands for 3 cakes.
How many cakes did Julie sell on all three days?", "answers": [ "28", "21", "14", "7" ], "correct_index": 1, "solution": "Monday 2 + Tuesday 1 + Wednesday 4 = 7 symbols.
7 x 3 = 21 cakes." }, { "id": 11760, "type": 2, "question": "Study the number pattern.
What is the missing number? 724, 726, 728, , 732, 734, 736", "answers": [ "730", null, null, null ], "correct_index": null, "solution": "The numbers increase by 2 each time, so the missing number is 728 + 2 = 730." }, { "id": 11761, "type": 2, "question": "15 ÷ = 3", "answers": [ "5", null, null, null ], "correct_index": null, "solution": "15 ÷ 5 = 3, so the missing number is 5." }, { "id": 11762, "type": 1, "question": "The diagram shows the length of three ribbons, P, Q and R.
Which ribbon is the longest?", "answers": [ "Ribbon P", "Ribbon Q", "Ribbon R", "All the same" ], "correct_index": 0, "solution": "Measured against the ruler, Ribbon P spans the greatest length, so P is the longest." }, { "id": 11763, "type": 2, "question": "What is the mass of the pear? g", "answers": [ "300", null, null, null ], "correct_index": null, "solution": "The orange weighs 100 g (left scale).
The orange and pear together weigh 400 g (right scale).
So the pear is 400 - 100 = 300 g." }, { "id": 11764, "type": 2, "question": "What is the total amount of money shown? $", "answers": [ "21.75", null, null, null ], "correct_index": null, "solution": "Notes: \\(\\$10\\) + \\(\\$5\\) + \\(\\$5\\) = \\(\\$20\\).
Coins: \\(\\$1\\) + 50¢ + 10¢ + 10¢ + 5¢ = \\(\\$1.75\\).
Total = \\(\\$20\\) + \\(\\$1.75\\) = \\(\\$21.75\\)." }, { "id": 11765, "type": 2, "question": "The clock shows a time in the afternoon.
What is the time 30 minutes later? p.m.", "answers": [ "5.15", null, null, null ], "correct_index": null, "solution": "The clock shows 4.45 p.m.
30 minutes later is 4.45 + 30 min = 5.15 p.m." }, { "id": 11766, "type": 2, "question": "The table shows the number of stickers collected by 4 girls.
Each symbol stands for 10 stickers.
How many girls collected more than 20 stickers?
Answer: ", "answers": [ "2", null, null, null ], "correct_index": null, "solution": "Lauren 1 (10), Molly 3 (30), Norah 2 (20), Olivia 4 (40).
More than 20 means Molly and Olivia, so 2 girls." }, { "id": 11767, "type": 2, "question": "Mrs Chan used three 2-litre bottles to fill the fish tank until it was full.
How much water could the fish tank hold? ℓ", "answers": [ "6", null, null, null ], "correct_index": null, "solution": "3 bottles x 2 litres = 6 litres." }, { "id": 11768, "type": 2, "question": "8 hundreds 15 tens and 13 ones = ", "answers": [ "963", null, null, null ], "correct_index": null, "solution": "800 + 150 + 13 = 963." }, { "id": 11769, "type": 2, "question": "What is the difference between the greatest and the smallest number? 991, 909, 199, 919
Answer: ", "answers": [ "792", null, null, null ], "correct_index": null, "solution": "Greatest is 991, smallest is 199.
991 - 199 = 792." }, { "id": 11770, "type": 2, "question": "I am a 3-digit number between 300 and 400.
The digit in the tens place is 2.
The digit in the ones place is three times the digit in the tens place.
What number am I?
Answer: ", "answers": [ "326", null, null, null ], "correct_index": null, "solution": "Between 300 and 400 means hundreds digit 3.
Tens digit is 2.
Ones digit is 3 x 2 = 6.
So the number is 326." }, { "id": 11771, "type": 2, "question": "Benny and his 3 friends ate 7 cookies each.
How many cookies did they eat altogether?
Answer: ", "answers": [ "28", null, null, null ], "correct_index": null, "solution": "Benny plus 3 friends = 4 people.
4 x 7 = 28 cookies." }, { "id": 11772, "type": 2, "question": "A pen cost \\(\\$2\\). Rena paid \\(\\$18\\) for a few similar pens.
How many pens did she buy?
Answer: ", "answers": [ "9", null, null, null ], "correct_index": null, "solution": "\\(\\$18\\) ÷ \\(\\$2\\) = 9 pens." }, { "id": 11773, "type": 2, "question": "Mary has 5 vases and 12 flowers.
She wants to put 3 flowers in each vase.
How many more flowers does she need?
Answer: ", "answers": [ "3", null, null, null ], "correct_index": null, "solution": "5 vases x 3 flowers = 15 flowers needed.
She has 12, so she needs 15 - 12 = 3 more." }, { "id": 11774, "type": 2, "question": "Study the diagram.
What is the mass of B?
Answer: ", "answers": [ "31", null, null, null ], "correct_index": null, "solution": "Right balance: A + 11g = 20g, so A = 9g.
Left balance: A + B = 40g, so B = 40 - 9 = 31g." }, { "id": 11775, "type": 2, "question": "Arrange the following fractions from the smallest to the greatest.
1/7, 1/2, 1/10
(a)   (b)   (c) ", "answers": [ "1/10", "1/7", "1/2", null ], "correct_index": null, "solution": "For unit fractions, the larger the denominator the smaller the fraction.
So 1/10 < 1/7 < 1/2." }, { "id": 11776, "type": 2, "question": "There were 1000 people at a concert.
349 of them were children and the rest were adults.
(a) How many adults were at the concert? (b) How many more adults than children were at the concert?
(a)   (b) ", "answers": [ "651", "302", null, null ], "correct_index": null, "solution": "(a) 1000 - 349 = 651 adults.
(b) 651 - 349 = 302 more adults than children." }, { "id": 11777, "type": 2, "question": "A book has 90 pages.
Jean reads 10 pages each day.
(a) How many days will Jean take to finish reading the book? (b) Jean starts reading the book on Monday.
How many pages of the book would she have read by the end of Friday?
(a)   (b) ", "answers": [ "9", "50", null, null ], "correct_index": null, "solution": "(a) 90 ÷ 10 = 9 days.
(b) Monday to Friday is 5 days; 5 x 10 = 50 pages." }, { "id": 11778, "type": 2, "question": "Jeremy had 800 marbles.
He put 256 marbles in Box A and 178 marbles in Box B.
(a) How many marbles did he put in the two boxes? (b) Jeremy then gave away the rest of the marbles to Martin.
How many marbles did he give to Martin?
(a)   (b) ", "answers": [ "434", "366", null, null ], "correct_index": null, "solution": "(a) 256 + 178 = 434 marbles in the two boxes.
(b) 800 - 434 = 366 marbles given to Martin." }, { "id": 11779, "type": 2, "question": "The mass of Parcel A is 450 g.
It is 285 g heavier than Parcel B.
(a) What is the mass of Parcel B? (b) What is the total mass of Parcel A and Parcel B?
(a)   (b) ", "answers": [ "165", "615", null, null ], "correct_index": null, "solution": "(a) 450 - 285 = 165 g for Parcel B.
(b) 450 + 165 = 615 g total." }, { "id": 11780, "type": 1, "question": "The mass of an apple is .", "answers": [ "10g", "10kg", "100g", "100kg" ], "correct_index": 2, "solution": "An apple is small and light, so a sensible everyday mass for one apple is about 100g.
10g is far too light, and the kilogram options are far too heavy." }, { "id": 11781, "type": 1, "question": "Arrange the following items accordingly.
Begin with the lightest.", "answers": [ "rice, sugar, flour", "flour, sugar, rice", "sugar, flour, rice", "flour, rice, sugar" ], "correct_index": 1, "solution": "Read each scale.
Flour is the lightest, then sugar, then rice is the heaviest, so ordered from lightest to heaviest it is flour, sugar, rice." }, { "id": 11782, "type": 2, "question": "Bob bought 350g of butter.
His sister used 250g of the butter.
How much butter did he have left? He had g of butter left.", "answers": [ "100", null, null, null ], "correct_index": null, "solution": "350g - 250g = 100g.
He had 100g of butter left." }, { "id": 11783, "type": 2, "question": "Miss Liu has 900g of clay.
She gave 250g to James and some to Meiling.
She is left with 475g of clay.
How much clay was given to Meiling? She gave Meiling g of clay.", "answers": [ "175", null, null, null ], "correct_index": null, "solution": "After giving James 250g: 900 - 250 = 650g.
She is left with 475g, so Meiling got 650 - 475 = 175g of clay." }, { "id": 11784, "type": 2, "question": "Alice bought 5 similar packets of rice.
The mass of each packet is 5kg.
What is the total mass of rice that she bought? She bought kg of rice.", "answers": [ "25", null, null, null ], "correct_index": null, "solution": "5 packets each of 5kg: 5 x 5 = 25kg of rice in total." }, { "id": 11785, "type": 2, "question": "Mrs Lim has 18kg of meat.
She packs them equally into 6 bags.
What is the mass of each bag? Each bag has a mass of kg.", "answers": [ "3", null, null, null ], "correct_index": null, "solution": "Share 18kg equally into 6 bags: 18 / 6 = 3kg per bag." }, { "id": 11786, "type": 1, "question": "Multiply 5 by 7.", "answers": [ "12", "35", "57", "75" ], "correct_index": 1, "solution": "5 x 7 = 35." }, { "id": 11787, "type": 1, "question": "What is the value of 2 × 9?", "answers": [ "7", "11", "18", "29" ], "correct_index": 2, "solution": "2 x 9 = 18." }, { "id": 11788, "type": 1, "question": "What is the value of 8 x 10?", "answers": [ "8", "18", "80", "108" ], "correct_index": 2, "solution": "8 x 10 = 80." }, { "id": 11789, "type": 1, "question": "40 ÷ 5 =", "answers": [ "45", "35", "8", "4" ], "correct_index": 2, "solution": "40 ÷ 5 = 8." }, { "id": 11790, "type": 1, "question": "7 groups of 4 is the same as .", "answers": [ "7 + 4", "4 + 4 + 4 + 4 + 4 + 4 + 4", "7 + 7 + 7 + 7 + 7 + 7 + 7", "4 + 7 + 4 + 7 + 4 + 7 + 4" ], "correct_index": 1, "solution": "7 groups of 4 means 4 added seven times: 4 + 4 + 4 + 4 + 4 + 4 + 4." }, { "id": 11791, "type": 1, "question": "12 is the same as 2 groups of .", "answers": [ "2", "6", "10", "22" ], "correct_index": 1, "solution": "12 ÷ 2 = 6, so 12 is 2 groups of 6." }, { "id": 11792, "type": 1, "question": "Which equation shows the correct groupings?", "answers": [ "4 + 3", "4 + 4 + 4 + 4", "4 x 3", "3 + 3 + 3" ], "correct_index": 2, "solution": "There are 4 groups with 3 stars each (12 stars), so 4 x 3." }, { "id": 11793, "type": 1, "question": "What is the missing number in the box? 6 + 6 + 6 + 6 + 6 = × 6", "answers": [ "5", "6", "24", "30" ], "correct_index": 0, "solution": "6 is added five times, so 5 x 6." }, { "id": 11794, "type": 1, "question": "Aunty Tina had 21 cupcakes.
She gave the cupcakes equally to her 3 friends.
How many cupcakes did each friend get?", "answers": [ "3", "7", "18", "24" ], "correct_index": 1, "solution": "21 ÷ 3 = 7." }, { "id": 11795, "type": 1, "question": "There are some flamingos.
Each flamingo has 2 legs.
There are 18 legs in all.
How many flamingos are there?", "answers": [ "9", "16", "20", "36" ], "correct_index": 0, "solution": "18 ÷ 2 = 9 flamingos." }, { "id": 11796, "type": 2, "question": "There are groups of .", "answers": [ "3", "2", null, null ], "correct_index": null, "solution": "The picture shows 3 boxes, each with 2 triangles, so 3 groups of 2." }, { "id": 11797, "type": 2, "question": "Write a multiplication equation for the picture.
× = ", "answers": [ "6", "3", "18", null ], "correct_index": null, "solution": "There are 6 boxes with 3 lollipops each: 6 x 3 = 18." }, { "id": 11798, "type": 2, "question": "Fill in the missing numbers in the number pattern.
15, 20, , 30, ", "answers": [ "25", "35", null, null ], "correct_index": null, "solution": "The pattern increases by 5 each time: 15, 20, 25, 30, 35." }, { "id": 11799, "type": 2, "question": "20 ÷ 2 = ", "answers": [ "10", null, null, null ], "correct_index": null, "solution": "20 ÷ 2 = 10." }, { "id": 11800, "type": 2, "question": "60 = × 10", "answers": [ "6", null, null, null ], "correct_index": null, "solution": "6 x 10 = 60." }, { "id": 11801, "type": 2, "question": "Bob packed some balls equally into 3 boxes.
Write a division equation.
÷ = ", "answers": [ "24", "3", "8", null ], "correct_index": null, "solution": "There are 24 balls shared equally into 3 boxes: 24 ÷ 3 = 8." }, { "id": 11802, "type": 1, "question": "10 x 10 is 10 than 9 x 10.", "answers": [ "more", "less", "equal", "the same" ], "correct_index": 0, "solution": "10 x 10 = 100 and 9 x 10 = 90; 100 is 10 more than 90." }, { "id": 11803, "type": 2, "question": "Use only 3 of the numbers to write a multiplication equation.
× = ", "answers": [ "5", "9", "45", null ], "correct_index": null, "solution": "From 5, 8, 9, 45: 5 x 9 = 45." }, { "id": 11804, "type": 2, "question": "There is a total of 40 chairs in a hall.
Uncle Lim puts 10 chairs in each row.
How many rows of chairs will there be? There will be rows of chairs.", "answers": [ "4", null, null, null ], "correct_index": null, "solution": "40 ÷ 10 = 4 rows." }, { "id": 11805, "type": 2, "question": "Jason had 90 pears.
He packed them equally into 10 bags.
How many pears were there in each bag? ÷ = ", "answers": [ "90", "10", "9", null ], "correct_index": null, "solution": "90 ÷ 10 = 9 pears in each bag." }, { "id": 11806, "type": 2, "question": "Lina has 20 pencils.
She puts 5 pencils in a box.
How many boxes of pencils does she have? ÷ = ", "answers": [ "20", "5", "4", null ], "correct_index": null, "solution": "20 ÷ 5 = 4 boxes." }, { "id": 11807, "type": 2, "question": "Belle baked 5 cakes.
She put 6 cherries on each cake.
How many cherries did Belle use altogether? × = ", "answers": [ "5", "6", "30", null ], "correct_index": null, "solution": "5 x 6 = 30 cherries altogether." }, { "id": 11808, "type": 2, "question": "A baker made some doughnuts.
She packed 3 doughnuts into each box.
Rosy bought 5 boxes of doughnuts.
How many doughnuts did she buy? × = ", "answers": [ "3", "5", "15", null ], "correct_index": null, "solution": "3 doughnuts per box x 5 boxes = 15 doughnuts." }, { "id": 11810, "type": 1, "question": "Which of the following pictures shows four equal parts?", "answers": [ "Picture 1", "Picture 2", "Picture 3", "Picture 4" ], "correct_index": 0, "solution": "Picture 1 (the square divided by both diagonals into 4 triangles) shows four equal parts.
The other figures are divided into unequal pieces or a different number of parts." }, { "id": 11811, "type": 1, "question": "What fraction of the figure is shaded?", "answers": [ "3/8", "5/8", "3/5", "8/8" ], "correct_index": 0, "solution": "The bar is divided into 8 equal parts and 3 are shaded, so the shaded fraction is 3/8." }, { "id": 11812, "type": 1, "question": "4/7 and ______ make 1 whole.", "answers": [ "2/7", "3/7", "4/7", "7/7" ], "correct_index": 1, "solution": "7/7 is one whole.
7/7 - 4/7 = 3/7, so 4/7 and 3/7 make 1 whole." }, { "id": 11813, "type": 1, "question": "Which fraction is greater than 1/4?", "answers": [ "1/9", "1/6", "1/5", "1/3" ], "correct_index": 3, "solution": "For unit fractions, the smaller the denominator the larger the fraction.
1/3 has a smaller denominator than 1/4, so 1/3 > 1/4.
The others all have larger denominators and are smaller than 1/4." }, { "id": 11814, "type": 1, "question": "Container ___ has the least amount of water.", "answers": [ "A", "B", "C", "D" ], "correct_index": 1, "solution": "Comparing the water levels in the four identical containers, container B has the lowest level, so it has the least amount of water." }, { "id": 11815, "type": 1, "question": "Two teapots can serve ___ glasses of tea.", "answers": [ "8", "2", "12", "4" ], "correct_index": 0, "solution": "One teapot serves 4 glasses.
Two teapots serve 2 x 4 = 8 glasses." }, { "id": 11816, "type": 1, "question": "3/5 + 2/5 =", "answers": [ "1/10", "5/10", "1/5", "5/5" ], "correct_index": 3, "solution": "Add the numerators over the common denominator: 3/5 + 2/5 = 5/5." }, { "id": 11817, "type": 1, "question": "7/10 - 3/10 =", "answers": [ "10/10", "10/11", "4/10", "4/11" ], "correct_index": 2, "solution": "Subtract the numerators over the common denominator: 7/10 - 3/10 = 4/10." }, { "id": 11818, "type": 1, "question": "Which bottle contains the most amount of water?", "answers": [ "A", "B", "C", "D" ], "correct_index": 1, "solution": "Comparing the water levels in the four identical bottles, bottle B has the highest level, so it contains the most water." }, { "id": 11819, "type": 1, "question": "Jim empties all the juice from glasses X, Y and Z into the beakers of the same size.
Arrange the glasses with the greatest volume of juice to the smallest volume of juice.", "answers": [ "X, Y, Z", "X, Z, Y", "Y, X, Z", "Y, Z, X" ], "correct_index": 2, "solution": "Reading the beaker levels after pouring, Y has the most, then X, then Z, so the order from greatest to smallest is Y, X, Z." }, { "id": 11820, "type": 2, "question": "Arrange the fractions from the greatest to the smallest.
1/8 , 1/12 , 1/3 (greatest) , , ", "answers": [ "1/3", "1/8", "1/12", null ], "correct_index": null, "solution": "For unit fractions, the smaller the denominator the greater the fraction.
So from greatest to smallest: 1/3, 1/8, 1/12." }, { "id": 11821, "type": 1, "question": "What fraction of the figure is shaded?", "answers": [ "1/2", "1/3", "2/3", null ], "correct_index": 1, "solution": "The bar is divided into 3 equal parts and 1 is shaded, so the shaded fraction is 1/3." }, { "id": 11822, "type": 2, "question": "Arrange the fractions from the smallest to the greatest.
5/9 , 8/9 , 2/9 (smallest) , , ", "answers": [ "2/9", "5/9", "8/9", null ], "correct_index": null, "solution": "With the same denominator, the smaller the numerator the smaller the fraction.
So from smallest to greatest: 2/9, 5/9, 8/9." }, { "id": 11823, "type": 2, "question": "Four glasses contain l of water.", "answers": [ "1", null, null, null ], "correct_index": null, "solution": "From the picture, 4 glasses fill a 1 l flask, so four glasses contain 1 l of water." }, { "id": 11824, "type": 2, "question": "A jug contains l of water.", "answers": [ "2", null, null, null ], "correct_index": null, "solution": "One jug fills 8 glasses.
Since 4 glasses = 1 l, 8 glasses = 2 l, so a jug contains 2 l." }, { "id": 11825, "type": 2, "question": "A pail contains l of water more than a jug.", "answers": [ "4", null, null, null ], "correct_index": null, "solution": "A pail fills 3 jugs = 3 x 2 = 6 l.
A jug is 2 l.
So a pail contains 6 - 2 = 4 l more than a jug." }, { "id": 11826, "type": 2, "question": "The total volume of water in a jug and a pail is l.", "answers": [ "8", null, null, null ], "correct_index": null, "solution": "A jug is 2 l and a pail is 6 l, so together they hold 2 + 6 = 8 l." }, { "id": 11827, "type": 1, "question": "What fraction of the figure is shaded? \\(\\dfrac{3}{7}\\) + \\(\\dfrac{2}{7}\\) = ", "answers": [ "\\(\\dfrac{5}{7}\\)", "\\(\\dfrac{5}{14}\\)", "\\(\\dfrac{1}{7}\\)", "\\(\\dfrac{6}{7}\\)" ], "correct_index": 0, "solution": "The figure has 7 equal triangles.
Combined with the given sum, 3/7 + 2/7 = 5/7 of the figure is shaded." }, { "id": 11828, "type": 2, "question": "Jerry's family drinks 15 l of milk in 5 days.
They drink the same amount of milk each day.
How much milk does Jerry's family drink in a day? Jerry's family drinks l of milk in a day.", "answers": [ "3", null, null, null ], "correct_index": null, "solution": "15 l shared equally over 5 days: 15 / 5 = 3 l per day." }, { "id": 11829, "type": 2, "question": "There were 70 l of water in a fish tank at first.
15 l of water were poured out from the tank.
Then, 30 l of water were added to the tank.
What is the volume of water in the tank in the end? The volume of water in the tank in the end is l.", "answers": [ "85", null, null, null ], "correct_index": null, "solution": "70 - 15 = 55 l left after pouring out.
Then 55 + 30 = 85 l after adding water, so the final volume is 85 l." }, { "id": 11830, "type": 2, "question": "Mrs Tan needs 28 glasses of apple juice for a party.
(a) How many cartons of apple juice does she need to buy? (b) If 1 carton contains 3 l of apple juice, how many litres of apple juice will there be altogether? Mrs Tan needs to buy cartons of apple juice.
There will be l of apple juice altogether.", "answers": [ "7", "21", null, null ], "correct_index": null, "solution": "(a) 1 carton serves 4 glasses, so 28 / 4 = 7 cartons.
(b) 7 cartons x 3 l = 21 l altogether." }, { "id": 11831, "type": 1, "question": "What is the value of the digit 7 in 785?", "answers": [ "7", "700", "785", "7 tens" ], "correct_index": 1, "solution": "The digit 7 is in the hundreds place, so its value is 7 hundreds = 700." }, { "id": 11832, "type": 1, "question": "Which of the following is the same as 904?", "answers": [ "90 + 4", "90 + 40", "900 + 4", "900 + 40" ], "correct_index": 2, "solution": "904 = 9 hundreds + 0 tens + 4 ones = 900 + 4." }, { "id": 11833, "type": 1, "question": "What is 10 less than 379?", "answers": [ "369", "380", "389", "378" ], "correct_index": 0, "solution": "379 - 10 = 369." }, { "id": 11834, "type": 1, "question": "Which odd number is greater than 300?", "answers": [ "312", "601", "297", "133" ], "correct_index": 1, "solution": "601 is odd (ends in 1) and greater than 300.
312 is even, 297 and 133 are less than 300." }, { "id": 11835, "type": 2, "question": "In 705, which digit is in the hundreds place?\nThe digit is .", "answers": [ "7", null, null, null ], "correct_index": null, "solution": "In 705 the hundreds-place digit is 7." }, { "id": 11836, "type": 2, "question": "The sum of 470 and 316 is .", "answers": [ "786", null, null, null ], "correct_index": null, "solution": "470 + 316 = 786." }, { "id": 11837, "type": 2, "question": "Fill in the boxes with the correct numbers.\n309 + 76 = ", "answers": [ "385", null, null, null ], "correct_index": null, "solution": "309 + 76 = 385 (the column addition gives the 3-digit answer 385)." }, { "id": 11838, "type": 2, "question": "I am thinking of a 3-digit number.
It is smaller than 200.
The digit zero is in the tens place.
What is the greatest 3-digit number that I am thinking of?\nThe greatest 3-digit number that I am thinking of is .", "answers": [ "109", null, null, null ], "correct_index": null, "solution": "Smaller than 200 means hundreds digit is 1; tens digit is 0; greatest ones digit is 9, giving 109." }, { "id": 11839, "type": 2, "question": "(a) What is the number shown on the place value chart?\nThe number is .\n(b) Write your answer to (a) in words.\n", "answers": [ "427", "Four hundred and twenty-seven", null, null ], "correct_index": null, "solution": "The chart shows 4 hundreds, 2 tens and 7 ones = 427, written 'Four hundred and twenty-seven'." }, { "id": 11840, "type": 2, "question": "Arrange these numbers in order.
Begin with the smallest.\n765 567 657 675\n , , , ", "answers": [ "567", "657", "675", "765" ], "correct_index": null, "solution": "Ordered smallest to largest: 567, 657, 675, 765." }, { "id": 11841, "type": 2, "question": "Fill in the boxes with the correct numbers.\n8 6 - 2 = 8 5 0", "answers": [ "7", "6", null, null ], "correct_index": null, "solution": "876 - 26 = 850, so the missing tens digit of the top number is 7 and the missing ones digit of the number subtracted is 6." }, { "id": 11842, "type": 2, "question": "799 is greater than 680 but smaller than .", "answers": [ "900", null, null, null ], "correct_index": null, "solution": "Among 299, 580, 900 and 99, the number greater than 799 is 900." }, { "id": 11843, "type": 2, "question": "Find the missing number in the box.\n202 + 74 = 200 + \nThe missing number is .", "answers": [ "76", null, null, null ], "correct_index": null, "solution": "202 + 74 = 276, and 276 = 200 + 76, so the missing number is 76." }, { "id": 11844, "type": 2, "question": "Study the number pattern carefully.
What is the missing number in the box?\n712 , 716 , 715 , 719 , ____________ , 722 , 721 , 725 , 724\nThe missing number is .", "answers": [ "718", null, null, null ], "correct_index": null, "solution": "The pattern alternates +4 then -1: 712, 716, 715, 719, 718, 722, 721, 725, 724.
The missing term is 718." }, { "id": 11845, "type": 2, "question": "James had some stickers at first.
After giving away 233 stickers to Eve, he had 691 stickers left.
How many stickers did James have at first?\nJames has stickers at first.", "answers": [ "924", null, null, null ], "correct_index": null, "solution": "James started with 691 + 233 = 924 stickers." }, { "id": 11846, "type": 2, "question": "There are 685 pupils in the school last year.
127 pupils joined the school this year.
How many pupils are there in the school now?\nThere are pupils in the school now.", "answers": [ "812", null, null, null ], "correct_index": null, "solution": "685 + 127 = 812 pupils." }, { "id": 11847, "type": 2, "question": "Lisa has 540 stamps.
She has 300 more erasers than stamps.
How many erasers does Lisa have?\nLisa has erasers.", "answers": [ "840", null, null, null ], "correct_index": null, "solution": "Erasers = 540 + 300 = 840." }, { "id": 11848, "type": 2, "question": "A shopkeeper sold 428 kg of rice on Tuesday morning.
He sold 39 kg of rice on Tuesday afternoon.\n(a) How many more kilograms of rice did he sell in the morning than in the afternoon?\nHe sold kg more rice in the morning than in the afternoon.\n(b) How many kilograms of rice did he sell on Tuesday altogether?\nHe sold kg of rice on Tuesday altogether.", "answers": [ "389", "467", null, null ], "correct_index": null, "solution": "(a) 428 - 39 = 389 kg more.
(b) 428 + 39 = 467 kg altogether." }, { "id": 11849, "type": 1, "question": "Which of the following shows 4 groups of 2?", "answers": [ "Picture 1", "Picture 2", "Picture 3", "Picture 4" ], "correct_index": 3, "solution": "4 groups of 2 means 4 sets, each with 2 items: option 4 shows 4 boxes of 2 hearts each." }, { "id": 11850, "type": 1, "question": "Mr Wong packs 10 cookies into bags of 5.
How many bags of cookies are there?", "answers": [ "5", "2", "15", "50" ], "correct_index": 1, "solution": "10 cookies divided into bags of 5: 10 ÷ 5 = 2 bags." }, { "id": 11851, "type": 1, "question": "Share 16 stickers equally among 2 friends.
Which of the following equations shows the number of stickers each friend receives?", "answers": [ "16 - 2 = 14", "16 + 2 = 18", "16 ÷ 2 = 8", "16 × 2 = 32" ], "correct_index": 2, "solution": "Sharing equally means division: 16 ÷ 2 = 8 stickers each." }, { "id": 11852, "type": 1, "question": "10 + 10 + 10 + 10 + 10 + 10 + 10 = × 10", "answers": [ "7", "10", "70", "80" ], "correct_index": 0, "solution": "There are 7 tens added together, so it equals 7 × 10." }, { "id": 11853, "type": 1, "question": "35 ÷ 5 is less than 40 ÷ 5.", "answers": [ "1", "5", "7", "8" ], "correct_index": 0, "solution": "35 ÷ 5 = 7 and 40 ÷ 5 = 8; 7 is 1 less than 8." }, { "id": 11854, "type": 2, "question": "28 4 = 7", "answers": [ "÷", null, null, null ], "correct_index": null, "solution": "7 groups of 4 clams shown; 28 ÷ 4 = 7, so the missing operator is ÷." }, { "id": 11855, "type": 2, "question": "Multiply 2 by 7.
The answer is .", "answers": [ "14", null, null, null ], "correct_index": null, "solution": "2 × 7 = 14." }, { "id": 11856, "type": 2, "question": "5 × 5 = ", "answers": [ "25", null, null, null ], "correct_index": null, "solution": "5 × 5 = 25." }, { "id": 11857, "type": 2, "question": "Mrs Ang bought some doughnuts and 5 boxes.
1 box can hold 6 doughnuts.
How many doughnuts did Mrs Ang buy to fill up all the 5 boxes completely? Mrs Ang bought doughnuts.", "answers": [ "30", null, null, null ], "correct_index": null, "solution": "5 boxes × 6 doughnuts each = 30 doughnuts." }, { "id": 11858, "type": 2, "question": "Write a multiplication and a division equation.
× = ÷ = ", "answers": [ "3", "8", "24", "24" ], "correct_index": null, "solution": "3 rows of 8 children: 3 × 8 = 24 and 24 ÷ 3 = 8." } ]