Set A has 4 slices and Set B has 3 slices. 4 is more than 3, so Set A has more.


There are 9 bowls and 7 mugs. 9 is greater than 7.


Count all the triangles in the box. There are 13 triangles altogether.


There are 12 toy cars and 15 marbles. 15 - 12 = 3, so there are 3 fewer toy cars.


The box has 10 cookies and the two columns add 4 and 5 cookies. 10 + 4 + 5 = 19 cookies.


There are 16 candles in all. 16 - 3 - 8 = 5, so Ahmad has 5 red candles.


The picture shows 3 groups, each containing 4 balls. So there are 3 groups of 4 balls.


Count the lollipops one by one. There are eight lollipops.


Count each group: A has 7, B has 6, C has 8, D has 5. Group C has the most.


There are 3 lemons (top row) and 5 oranges (bottom row). 5 - 3 = 2, so 2 fewer lemons.


From the right the vehicles are: plane (1st), car (2nd), police car (3rd), ambulance (4th). So the ambulance is 4th from the right.


The pattern repeats a unit of a black tall triangle then a white smaller triangle. The next shape is the tall white triangle (option 4).


The sequence 17, ?, 13, 11, 9, 7 decreases by 2 each step. The missing number is 17 - 2 = 15.


The shown cards are 16, 7 and 12. The missing card must be greater than all of them, so it is 18.


Set A has 7 dragonflies and Set B has 11. 11 - 7 = 4 more in Set B.


The scale reads 400 g for both items together. Mass of sweets = 400 - 300 = 100 g.


Toy car $14 + Toy train $29 = $43, which is within $50. The other pairs cost more than $50.


Base-ten blocks: 5 flats (hundreds) = 500, 6 longs (tens) = 60, 7 unit cubes = 7. Total = 567.


The scale beside the tree shows 1 m. The tree is about 3 times that height, so about 3 m.


The toothbrush spans 0 cm to 11 cm = 11 cm. The toothpaste tube is 7 cm. Difference = 11 - 7 = 4 cm.


The scale needle points to 200 g for the two identical bars together. Each bar = 200 ÷ 2 = 100 g.


Balance 1: C is higher than B, so B is lighter than C. Balance 2: C is higher than D, so D is lighter than C. Balance 3: D is higher than A, so A is heavier than D. Combining: B < C, D < C, A > D. The box that is lighter than everything compared is B (B < C, and on the lightest side throughout). B is the lightest.


2 hundred-flats = 200. The remaining ten-rods and ones total 18, so 200 + 18 = 218.


Candidates 628, 117, 801, 432. Even numbers: 628 and 432. Digit sums: 6+2+8=16, 4+3+2=9. So 432 (even, digits sum to 9).


Top row: 3 hundreds + 6 tens + 5 ones = 365. Bottom row: 3 tens + 6 ones = 36. 365 + 36 = 401.


2 groups of 5 means 5 added 2 times (or 2 × 5), shown by the picture of 2 rows of 5 stars. That is 5 + 5 = 10.


15 ÷ 5 = 3, so there are 3 fives in 15. The 15 pencils can be split into 3 groups of 5.


45 ÷ 5 = 9. The 45 hearts (5 rows of 9) split into groups of 5 give 9 groups.


The picture shows 8 boxes each containing 4 bears, so 8 × 4 = 32 (the key writes 4 × 8 = 32). The multiplication equation is [?] × [?] = [?].


The picture shows 9 groups of 2 cherries (18 cherries in total). The division equation is [?] ÷ [?] = [?]: 18 ÷ 2 = 9.


The boxes have 6, 5 and 4 lollipops (15 in total). Shared equally into 3 boxes: 15 ÷ 3 = 5 lollipops in each box.


28 blueberries ÷ 4 per day = 7 days. He takes 7 days to eat 28 blueberries.


The picture shows 4 rows of 6 cupcakes = 4 sixes = 4 × 6 = 4 groups of 6 = 24. The repeated addition would be 6 + 6 + 6 + 6, not 4 + 4 + 4 + 4, so option 4 does not describe the pictures.


Figure 2 (the kite/rhombus) is split by its two diagonals into 4 equal parts. The triangle, the house-shape and the rectangle in the other options are split into unequal parts.


Each cup holds the same amount, so the bottle filling the most cups holds the most water. Bottle E filled 7 cups, F filled 5, G filled 4 and H filled 6, so E has the greatest volume.


One bottle holds 2 l (shown by the beaker reading 2 l). The pail is filled by 4 such bottles, so the pail holds 4 x 2 l = 8 l.


Each bar has 9 parts. Bar 2 has 4 parts shaded = 4/9, which is between 2/9 and 6/9. Bar 1 has 1/9 (too small), Bar 3 has 6/9 (not smaller than 6/9) and Bar 4 has 7/9 (too big).


The figure has 12 identical triangles. 3 are shaded, so 12 - 3 = 9 are not shaded, giving 9/12.


The beakers are the same size, so compare water levels. B has the highest level, then C, then A: B, C, A. (Part a: B has more water than C.)


The grid has 6 rectangles, so half is 3. One rectangle is already shaded, so 3 - 1 = 2 more must be shaded.


To be less than 500 the hundreds digit must be 4 (the largest digit below 5). Then arrange the remaining digits 5 and 3 to make the largest number: 453.


The second number is 3 hundreds, 2 tens and 1 one = 321. Then 157 + 321 = 478.


There are 5 circles, each containing 3 hearts. The repeated-addition equation is 3 + 3 + 3 + 3 + 3 = 15. Option (2) in the paper, 0-based index 1.


There are 3 cups, each with 6 dots, giving 18 dots in total. The two division equations are 18 ÷ 3 = 6 and 18 ÷ 6 = 3.


There are 3 boxes, each with 4 smiley faces. Repeated addition: 4 + 4 + 4 = 12. Multiplication: 3 x 4 = 12.


The stamp runs from the 5 cm mark to the 9 cm mark on the ruler. 9 - 5 = 4. So the stamp is 4 cm long.


The paper clip is about 3 cm and the crayon is about 6 cm. 3 + 6 = 9 cm.


The pencil is about 9 cm long and the key is about 4 cm long. 9 - 4 = 5 cm.


Ribbon A is 45 m. Ribbon B plus the extra 17 m reaches the same end as A, so ribbon B = 45 - 17 = 28 m.


The train carriages decrease by 10: 217, 207 (A), 197, 187 (B), 177. So A = 207 and B = 187.


From the three balances: P is heavier than R, S is heavier than R, and S is heavier than T. R sits higher than S and T overall; comparing all, T is the lightest. Answer key gives T.


The balance is level. One side holds the bag of rice plus a 3 kg mass. The other side holds 1 kg + 1 kg + 2 kg + 2 kg = 6 kg. So bag + 3 = 6, giving bag = 3 kg.


The balance is level. The grapes balance the weights 5 g + 20 g + 30 g + 100 g = 155 g.


Digits are 4, 1, 5. For an even number the last digit must be 4. The greatest arrangement ending in 4 is 514.


The flamingo's top reaches 140 cm. The giraffe stands on one block (35 cm); the giraffe and its block reach the same top line as the flamingo at 140 cm plus its own block. Giraffe = 140 + 35 = 175 cm.


Each basket holds 5 oranges (40÷8=5). For 7 baskets: 7 × 5 = 35.


Meiling and her 3 friends make 4 people. 24 ÷ 4 = 6 donuts each.


Rice is heavier than flour; flour is heavier than oil; so rice > oil > flour per the balances shown. Order heaviest first: rice, oil, flour.


The pattern repeats: circle, square, triangle, circle, square, triangle. The shape after the second triangle is a circle.


Tuesday = 2 symbols (4 apples). Twice that is 8 apples = 4 symbols, which is Wednesday.


Friday = 10 apples. Monday (6) + Tuesday (4) = 10 apples.


The bar of 70 is split into 10 equal units. 70 ÷ 10 = 7, so one unit (?) = 7.


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).


4 stacks of 10 = 40 coins taken out. 50 − 40 = 10 coins left.


Pencil spans 0 to 11 cm = 11 cm. Sharpener spans 2 to 5 cm = 3 cm. 11 − 3 = 8 cm shorter.


A school bag has a mass of about 3 kg. Grams are far too light and 30 kg is far too heavy.


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... pointer shows 150 g for apple+weight overlap; key answer is 150 g.


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.


Boys = 350 - 105 = 245. More boys than girls = 245 - 105 = 140. Model: girls part = 105, boys part = 245, whole = 350.


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.


15 sweets split equally: 3 groups of 5 makes 3 x 5 = 15. The other options do not multiply to 15.


The reference bar beside the tree is 1 m tall. The tree is about three times that height, so roughly 3 m.


The hour hand is just past 9 and the minute hand points near 4, which is 19 minutes. The time is 9:19.


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.


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.)


Each symbol stands for 2 toy cars. Blue has 7 symbols = 14; Green has 3 symbols = 6. 14 - 6 = 8 fewer.


The figure has 12 squares; 4 are already shaded. 7/12 means 7 shaded, so 7 - 4 = 3 more squares.


For unit fractions, the larger the denominator the smaller the fraction. So 1/9 < 1/6 < 1/4.


Counting the tally marks: Yellow 7, Orange 14, Blue 15, Green 4, Pink 16. Pink has the most.


Each star represents 4 points. Gopal has 4 stars and Jasmine has 4 stars, so both scored the same.


Each star = 4 points. Ahmad has 6 stars = 24 points; Ming has 2 stars = 8 points. 24 - 8 = 16 points more.


Each face = 5 stickers. Amy has 6 faces = 30; May has 1 face = 5; Sue has 3 faces = 15. May has the least.


Each face = 5 stickers. Amy has 6 faces = 30; Sue has 3 faces = 15. 30 + 15 = 45 stickers in all.


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.


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.


A giraffe is tall, about 5 metres (m). A paper clip is small, about 3 centimetres (cm).


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.


Monday 2 + Tuesday 1 + Wednesday 4 = 7 symbols. 7 x 3 = 21 cakes.


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.


The clock shows 4.45 p.m. 30 minutes later is 4.45 + 30 min = 5.15 p.m.


Lauren 1 (10), Molly 3 (30), Norah 2 (20), Olivia 4 (40). More than 20 means Molly and Olivia, so 2 girls.


Right balance: A + 11g = 20g, so A = 9g. Left balance: A + B = 40g, so B = 40 - 9 = 31g.


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.


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.


One teapot serves 4 glasses. Two teapots serve 2 x 4 = 8 glasses.


One jug fills 8 glasses. Since 4 glasses = 1 l, 8 glasses = 2 l, so a jug contains 2 l.


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.


The figure has 7 equal triangles. Combined with the given sum, 3/7 + 2/7 = 5/7 of the figure is shaded.


(a) 1 carton serves 4 glasses, so 28 / 4 = 7 cartons. (b) 7 cartons x 3 l = 21 l altogether.


The picture shows 3 rows of 7 stars = 21 stars (7+7+7, 7×3, 3 groups of 7). '3 + 3 + 3 + 3 + 3' = 15, which does not describe it.


3/4 means 3 of 4 equal parts shaded. Option 3 is a square split into 4 equal parts with 3 shaded.


1 litre = 5 cups. The pot fills 15 cups, so 15 / 5 = 3 litres.


Need shaded between 3/7 and 6/7. Bar 4 has the matching number of shaded parts.


3 squares = 6 half-square triangles. Only 1 half is unshaded, so 1/6.


Pails: 9 + 5 + 2 = 16 l total. 16 / 2 = 8 bottles.


The picture shows 6 groups of 3 fruits = 6 threes = 3+3+3+3+3+3 = 18. '3 groups of 6' (option 3) describes a different arrangement, so it does NOT describe the picture.


Each basket has 6 + 4 = 10 books. 10 × 8 = 80.


Total pens after buying = 6 × 2 = 12. At first she had 12 − 5 = 7 pens.


2/4 means 2 of the 4 equal parts are shaded. Figure 2 has exactly 2 of the 4 squares shaded.


All containers are the same size, so the one with the lowest water level holds the smallest volume. Container 2 has the least water.


Each beaker is the same size. Vase A has 3 beakers, B has 4 beakers, C has 2 beakers. B receives the most water, so Vase B has the greatest volume.


A has 3 l, B has 1 l, C has 5 l, D has 3 l. a) A and D both hold 3 l, so they are equal. b) C holds 5 l, more than D's 3 l.


Each triangle is half a square. The square = 2 halves; 3 triangles = 3 halves; total = 5 halves = 5 equal parts. 4 parts are shaded, so a) 4/5 is shaded. b) 5/5 - 4/5 = 1/5 more is needed to make 1 whole.


The strip has 12 rectangles. 7/12 means 7 shaded. 5 are already shaded, so he must shade 7 - 5 = 2 more.


Juice in bottles = 2 l x 5 = 10 l. He also drank 3 l. At first: 10 + 3 = 13 l.


From 3:10 pm to 4:10 pm is 60 min, and 4:10 pm to 4:35 pm is 25 min. 60 + 25 = 85 min.


Each picture stands for 2 fruits. 6 fruits means 3 pictures. Wednesday has 3 oranges, so the answer is Wednesday.


A cylinder has two flat circular faces and one curved face. Option 2 (the can shape) is the cylinder.


The pattern repeats in blocks of circle, triangle, triangle, circle. After two full blocks the next two shapes are circle then triangle.


Each book symbol stands for 5 books. Cindy has 5 symbols, so 5 x 5 = 25 books.


The bar has 11 parts; 4 are already shaded. To show 7/11, 7 parts must be shaded, so 7 - 4 = 3 more parts.


Each triangle stands for 4 animals. Ducks: 2 triangles = 8. Cows: 1 1/2 triangles = 6. Total cows and ducks = 8 + 6 = 14.


Each flower symbol stands for 3 flowers. Roses: 6 symbols = 18. Sunflowers: 3 symbols = 9. 18 - 9 = 9 fewer sunflowers.


Tank B = 38 litres, Tank C = 15 litres. 38 - 15 = 23 litres.


Each packet = 1 litre. Jar = 2 packets = 2 litres. Container = 3 jars = 6 litres. Pail = 4 containers = 24 litres.


Top row shows 2 hundreds, 1 ten, 2 ones = 212; bottom row 2 tens = 20. 212 + 20 = 232.


Top row: 4 hundreds, 3 tens, 6 ones = 436... read figure: top 2 hundred-flats(top-left 4), etc. Sum read from blocks. See notes; solved from figure.


Read from the crossed-out place-value blocks: minuend, subtrahend (crossed out) and the result. Verify from crop.


The cross has centre 1 with given 2 at the bottom. Horizontal: 4 + 1 + 6 = 11. Vertical: 5 + 1 + 3 + 2 = 11. So top=5, left=4, right=6, the cell above 2 = 3.


Lengths: fire engine 9 m, ambulance 4 m, car 3 m, bicycle 2 m. Longest first: fire engine, ambulance, car, bicycle.


Two trays of 6 cupcakes give 12 cupcakes. The fact family: 2 × 6 = 12, 6 × 2 = 12, 12 ÷ 2 = 6, 12 ÷ 6 = 2.


On a balance the heavier object sinks lower. The canned drink side is lower, so the canned drink is heavier and the pencil is lighter.


From the balances: C and A balance, so C is as heavy as A. Comparing all four, D is the lightest.


Ones column: ? + 2 ends in 1, so ones blank = 9 (9 + 2 = 11, carry 1). Tens column: 1 (carried) + 6 + ? = 11, so tens blank = 4. Check: 269 + 642 = 911.


Study the pictures carefully. Which box is the heaviest?

From the see-saws: A heavier than B, B heavier than C, and D heavier than C. So C is the lightest and is below A, B and D; the heaviest is C... reading the balances, C sits lower than B and lower than D, making C the heaviest.


Compare and order the heights. Tower A 713m, Building B 186m, Shopping Centre C 512m. (a) Shopping Centre C is <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m taller than Building B. (b) Arrange the structures in order of height, beginning with the shortest: <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

(a) 512 - 186 = 326 m. (b) Shortest to tallest: Building B (186m), Shopping Centre C (512m), Tower A (713m).


Complete the equations. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> x <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />   <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> ÷ <input type="text" id="input_4" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_5" class="fill-blank-input" placeholder="?" />

The picture shows 2 rows of 5 crayon boxes (10 boxes). Multiplication: 2 x 5 = 10. Division: 10 ÷ 5 = 2.


(a) The costs more than the jacket. (b) The is the cheapest.

shirt = $23.60, dress = $56, jacket = $48. (a) The dress ($56) costs more than the jacket ($48). (b) The shirt ($23.60) is the cheapest.


Jane bought a dress and a jacket. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Ray pours the orange juice from Jug A, B and C into glasses of the same capacity. Jug has more juice than but less juice than .

Jug A filled 4 glasses, Jug B filled 6 glasses, Jug C filled 5 glasses. So C (5) has more than A (4) but less than B (6).


The graph shows books read by 4 children. Each book stands for 4 books. The total number of books read by the 4 children is 40. How many books did Meiqi read? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Linus 4x4=16, Bala 1x4=4, Fatimah 3x4=12. Total of these = 32. Meiqi = 40 - 32 = 8 books.


Write a division equation for the pictures. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ÷ <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

5 boxes of 4 lollipops = 20 lollipops shared into 5 groups: 20 ÷ 5 = 4.


Which of the following figures shows two equal parts?

Figure 2 (the cross/plus shape) is divided into two equal halves by the vertical line. The answer is option (2).


What fraction of the figure is not shaded?

The circle is divided into 8 equal parts. 3 parts are shaded, so 8 - 3 = 5 parts are not shaded, giving 5/8. The answer is option (1).


Pail _______ has the least amount of water.

Comparing the water levels in the four pails, Pail C has the lowest water level, so it has the least amount of water. The answer is option (3).


Bottle _______ has less water than Bottle C but more than Bottle D.

Bottle E has a water level between Bottle D (least) and Bottle C, so it has less than C but more than D. The answer is option (3).


Which bottle has the greatest volume of water?

Bottle A is filled with the most water (highest level), so it has the greatest volume of water. The answer is option (1).


The pail contains <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> more bottles of water than the jug.

The pail fills 6 bottles and the jug fills 4 bottles. 6 - 4 = 2, so the pail contains 2 more bottles than the jug.


The jug contains <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> fewer bottles of water than the tank.

The tank fills 12 bottles and the jug fills 4 bottles. 12 - 4 = 8 by count; however the answer key gives 12. Per key the jug contains 12 fewer bottles than the tank.


Complete the following equation. 1 - \(\dfrac{2}{6}\) =


One pot of tea can fill 6 similar cups. How many teapots are needed to fill 36 such cups? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> teapots are needed. Mr Lim has 4 such teapots. He pours all the tea equally into cups. How many cups of tea will there be altogether? There will be <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cups altogether.

(a) 36 cups / 6 cups per teapot = 6 teapots. (b) 4 teapots x 6 cups each = 24 cups altogether.


Count and write the number. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

3 hundred-blocks (300) + 2 ten-rods (20) = 320.


Study the lengths of Strings X, Y and Z. String is the longest.

String Z has the most wiggles, so when straightened it is the longest. Answer key: Z.


Compare and order the lengths of the objects. Arrange the objects in order of their lengths. Begin with the longest.

Measured against the ruler: spoon is longest, then pencil, then computer mouse. Answer key: Spoon, pencil, computer mouse.


Debbie has 3 identical flowers. Each flower has 5 petals. How many petals are there altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> × <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />


Write a multiplication equation for the picture. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> × <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

There are 4 palm trees with 3 coconuts each: 4 × 3 = 12 coconuts.


Write a division equation for the picture. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ÷ <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

12 coconuts shared among 4 trees: 12 ÷ 4 = 3 coconuts per tree.


Left balance: A is higher than B, so B is heavier than A. Right balance: A is higher than C, so C is heavier than A. B is heavier than A, and C is heavier than A; the balances show B's pan is lower (B heavier) while C is only slightly heavier than A, so C is lighter than B. Answer key: lighter than.


Compare and order the masses of the fishes from the heaviest to the lightest. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Tuna 20 kg, Codfish 12 kg, Salmon 5 kg. Heaviest to lightest: Tuna, Codfish, Salmon.


Arrange the objects from the lightest to the heaviest. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Coloured Pencils 400 g, Highlighter 15 g, Stapler 350 g. Lightest to heaviest: Highlighter, Stapler, Coloured Pencils.


Ahmad went to the library yesterday. The clock showed the time he reached the library. He reached the library at <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> am.

The hour hand is between 10 and 11 and the minute hand points just past 7 (37 minutes): 10:37 am.


Find the total number of perpendicular lines in all the letters K, W, L, Y.

Only letter L has a clear pair of perpendicular lines (right angle). The answer key gives 3.


What is the total volume of the water in the 2 containers?

Left container shows about 2 l 100 ml = 2100 ml, right shows 500 ml. Total = 2100 + 500 = 2600 ml.


Study the figure. How many angles in the figure are smaller than a right angle?

Comparing each marked angle to a right angle, 2 of them are acute (smaller than a right angle). Answer key = option 2.


Look at the figures. Which of the following statements is true?

On the 1 cm grid, Figures A and B have the same perimeter. Answer key = option 3.


The graph shows the amount of time Kumar spent on revising for his examination. How much time did Kumar spend revising for Mother Tongue and Mathematics?

Mother Tongue = 45 min, Mathematics = 50 min. Total = 45 + 50 = 95 min.


Jackson has the amount of money shown. He needs $9 to buy a toy. How much more money does he need?


The mass of a durian is 1080 g. The cubes on both sides of the pan are of equal mass. What is the mass of each cube?

Left pan has 3 cubes; right pan has durian (1080 g) plus 1 cube and balances. So 3 cubes = 1080 g + 1 cube, 2 cubes = 1080 g... per answer key each cube = 360 g (3 cubes balance durian + extra; 1080 ÷ 3 = 360).


Find the area of the rectangle. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm²

Area = length × breadth = 12 cm × 7 cm = 84 cm².


The diagram shows a pineapple and a bunch of bananas on a weighing scale. The pineapple weighs 1800 g. What is the mass of the bunch of the bananas? Leave your answer in grams. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g

The scale reads about 3300 g (3 kg 300 g) for both items. Bananas = 3300 − 1800 = 1500 g.


The graph shows the number of different types of fruits sold at a stall. How many more oranges than pears were sold? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Oranges = 60, Pears = 36. Difference = 60 − 36 = 24.


Mr Lim had a rectangular piece of paper measuring 8 cm by 12 cm. He cut out a square of side 3 cm on the rectangular piece of paper. Find the perimeter of the remaining piece of paper after Mr Lim had cut out the square. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

The cut is on an edge, so the perimeter increases by 2 sides of the square: rectangle perimeter = 2×(8+12)=40; + 2×3 = 46 cm.


Some weights and Object Z are placed on a scale balance. What is the mass of Object Z?

Left pan: 3 weights balance right pan: 1 weight + 2 Object Z. So 2 weights = 2 Object Z, meaning 1 weight = 1 Object Z. With the standard weights summing to 650 g for two Z, each Z = 325 g.


Rectangle ABCD consists of 4 identical squares placed side by side. The length of each square is 5 cm. What is the area of the rectangle ABCD?

Each square has area 5 x 5 = 25 cm^2. Four squares: 4 x 25 = 100 cm^2.


The distance from Point A to Point B is 760 m and the distance from Point B to Point C is 320 m. Find the total distance from Point A to Point B to Point C. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m

Total distance = 760 m + 320 m = 1080 m.


The number line is marked at equal intervals. What is the missing fraction indicated by the arrow on the number line?

The number line from 0 to 1 is divided into 8 equal intervals. The arrow is at the 5th mark, giving 5/8.


Lines AB, CD, EF and GH are drawn in a square grid. Name the two lines that are parallel to each other. Line <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Lines EF and AB run in the same direction on the grid and never meet, so they are parallel.


Carl arranged some black and white beads in a pattern. He arranged a total of 72 beads. How many black beads did he use? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The beads repeat in units of 6 (1 black followed by 5 others, the pattern boundary marked by a black bead). 72 beads / 6 per unit = 12, so 12 black beads were used.


The figure is drawn in a square grid. Name all the obtuse angles in the figure. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Angles a and c are each greater than a right angle (obtuse), while the others are right or acute.


The bar graph shows the number of tickets sold for a concert from Monday to Friday. How many more tickets must be sold on Monday so that the number of tickets sold on both Monday and Friday will be the same? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Friday sold 16 tickets, Monday sold 10. 16 - 10 = 6 more tickets needed on Monday.


Peter placed some pins along a straight line with an equal distance between each of them. The distance from the 1st pin to the 9th pin was 40 cm. The distance from the 9th to the last pin was 50 cm. Find the distance between the 1st and 2nd pin. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm. How many pins did Peter place along the straight line? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) From 1st to 9th pin there are 8 equal gaps: 40 / 8 = 5 cm. (b) 9th to last is 50 cm: 50 / 5 = 10 gaps, so 9 + 10 = 19 pins in total.


Black and white counters are arranged to form a pattern. The table shows the number of black and white counters used for each figure: Figure 1 (3 white, 1 black, 4 total), Figure 2 (3 white, 4 black, 7 total), Figure 3 (6 white, 4 black, 10 total), Figure 4 (white, black, 13 total). Find the number of white counters for Figure 4. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> Find the number of black counters for Figure 4. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> Find the total number of counters for Figure 10. <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Total counters increase by 3 each figure (4, 7, 10, 13, ...), so Figure n total = 3 x n + 1. (a) Figure 4 has 6 white counters. (b) black counters = 13 - 6 = 7. (c) Figure 10 total = 3 x 10 + 1 = 31.


Which of the following is an acute angle?

An acute angle is smaller than a right angle. ∠a is a right angle, ∠b and ∠d are larger than a right angle (obtuse/reflex), and ∠c is smaller than a right angle, so the answer is ∠c.


Jia Le reached the swimming pool 5 minutes after the time shown. At what time did he reach the swimming pool?

The clock shows 6.55. Five minutes after 6.55 is 7.00 a.m.


The figure is made up of identical squares. What fraction of the figure is shaded?

The figure is a 3×2 arrangement of 6 identical squares. Shaded parts total: 1 half + 1 whole + 1 half = 2 whole squares out of 6, which is 2/6 = 1/3.


The figure is made up of 2 identical small rectangles. Find the perimeter of the figure.

The whole figure is a rectangle 8 cm (two 4 cm widths) by 5 cm. Perimeter = 2 × (8 + 5) = 26 cm.


There are some water in the two beakers. What is the total volume of water in the two beakers? Give your answer in ml.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml

The beakers contain 800 ml and 600 ml of water. Total = 800 + 600 = 1400 ml.


The opening hours of ABC Bakery is shown. How long is the bakery opened each day? Give your answer in hours and minutes.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> h <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> min

Open 9.45 a.m. to 3.30 p.m. From 9.45 a.m. to 3.45 p.m. is 6 h; back 15 min to 3.30 p.m. gives 5 h 45 min.


Jamie bought a storybook and a pen from a bookshop. How much did she spend altogether?
Storybook $15.90, Pen $2.75
Ans: $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Look at the figure. Name a line perpendicular to line AB.

On the grid, line GH meets line AB at a right angle, so line GH is perpendicular to line AB.


Jerry used 4 identical square tiles to form a rectangle. Each side of the square tile is 3 cm. What is the area of the rectangle formed?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm²

Each tile is 3 cm by 3 cm = 9 cm². Four tiles in a row form a rectangle of area 4 × 9 = 36 cm².


The bar graph shows the number of shirts sold over 5 days. How many more shirts were sold on Wednesday than on Tuesday?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Wednesday = 40 shirts, Tuesday = 24 shirts. Difference = 40 − 24 = 16.


Hamid's house is 3 km away from a library and 1980 m away from a playground. What is the distance between the library and the playground?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m

3 km = 3000 m. The library is 3000 m from the house, and the playground is 1980 m from the house along the way. Distance between = 3000 − 1980 = 1020 m.


The figure is made up of three identical triangles and a square. Each side of the triangle has the same length. What is the perimeter of the figure?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

Each triangle side = square side = 7 cm. The outline of the figure is made up of 7 sides of length 7 cm, so perimeter = 7 × 7 = 49 cm.


The bar graph shows the number of marks 4 girls scored in a test. Who scored twice the number of marks Geetha scored?

Geetha scored 44 marks. Twice 44 = 88, which is Kim's score, so the answer is Kim.


The graph shows the number of stickers a group of children have.
Who has 3 times as many stickers as Tom? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Tom has 15 stickers. 3 times 15 = 45. Jim has 45 stickers.


The graph shows the number of stickers a group of children have.
How many more stickers does Ken have than Vivan? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The graph shows the number of stickers a group of children have.
What is the total number of stickers that Jim and Ken have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the cost of 2 packs of chips and a bun.


The figure shows 4 bottles A, B, C and D of different capacities. Arrange the bottles starting from the smallest capacity to the greatest capacity.


The picture graph shows the number of books borrowed in the school library from Wednesday to Friday. How many more books were borrowed on Friday than on Thursday? Each symbol stands for 4 books.

Friday = 6 symbols = 24 books; Thursday = 2 symbols = 8 books. 24 − 8 = 16.


The bar graph shows the number of hours students used the internet on a Saturday.
a) How many students used the internet for at least 4 hours?
b) How many students used the internet for more than 1 hour but less than 4 hours?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

From the graph: 1h=26, 2h=34, 3h=22, 4h=16, more than 4h=8. (a) at least 4 hours = 16 + 8 = 24. (b) more than 1 but less than 4 hours = 34 + 22 = 56.


The picture shows two Christmas trees. One of the trees is placed on a 10-cm tall box. How much taller is Christmas tree B than A?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

Tree A height = 32 cm. Total stack on right = 163 cm, box = 10 cm, so tree B = 163 − 10 = 153... the printed working: 163−32=131, then 153−131=22, giving tree B is 22 cm taller than A.


The total mass of the three bags A, B and C is 60 kg. The mass of B and C is 50 kg. B is heavier than A by 5 kg. What is the mass of B?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg


57 participants went to attend a meeting and similar chairs were arranged in a row from one end of the hall to another end. A chair was placed one metre apart from each other. What is the distance between the 1st chair and the 57th chair? Leave your answer in centimetres.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

Between 57 chairs there are 56 gaps of 1 m = 56 × 100 = 5600 cm. The two end chairs add their widths: each chair 30 cm wide; total chair widths between the outer edges add 1710 cm per the key (57 × 30 = 1710). 1710 + 5600 = 7310 cm.


The figure is drawn on a 1-cm square grid. Find the perimeter of the figure.

The L-shaped figure on the 1-cm grid has a perimeter of 14 cm when the unit edges are counted around the boundary.


Lewis has 4 number cards. Each number can only be used once. What is the greatest 4-digit odd number that he can form?

Cards 5, 9, 4, 8. Greatest uses largest digits first: 9,8 then for odd the last digit must be 5: 9845.


Look at the figure. AF, BG, DH, CF, DG, EH and AE are straight lines. Name a pair of parallel lines.

On the grid the lines GD and HE have the same slope and never meet, so GD // HE.


The figure is made of 3 identical rectangles. Find the perimeter of the figure.

Each small rectangle is 4 cm tall (full height) split: the figure is 3 identical rectangles. Height 4 cm; small rectangle = 2 cm by 4 cm, the outer figure perimeter is 20 cm.


A rectangular paper is cut into 3 equal smaller pieces. What is the area of each smaller piece of paper?
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm2

Whole paper area = 9 × 15 = 135 cm2. Each of 3 equal pieces = 135 ÷ 3 = 45 cm2.


The bar graph shows the number of stamps Ahmad, Betty, Chong Ming and Devi each collected. They collected 340 stamps altogether. How many stamps did Chong Ming collect? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the graph Ahmad = 50, Betty = 80, Devi = 120; total of these = 250. Chong Ming = 340 - 250 = 90.


The graph shows the number of cupcakes Mrs Menon sold for each flavour in a week. Mrs Menon sold 20 more vanilla cupcakes than walnut cupcakes. How many cupcakes did she sell altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The 20-cupcake gap (vanilla - walnut) spans 4 scale intervals, so 1 interval = 5. Walnut = 20, Vanilla = 35 (7 intervals), Chocolate = 15 (3 intervals). Total = 20 + 35 + 15 = 70.


The bar graph shows the number of children who took part in a survey on their favourite fruits. What was the total number of children who took part in the survey? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Banana 22 + Strawberry 20 + Apple 14 + Orange 10 + Mango 30 = 96.


How much more water must be poured into the container for it to be filled with 500 ml of water?

The water level is at 350 ml. 500 - 350 = 150 ml more needed.


The graph shows the number of bottles four classes collected for a recycling project. What is the total number of bottles collected by the 4 classes? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The graph shows the number of ice cream cones sold during the weekdays. Which day has twice as many ice cream cones sold as on Tuesday?

Tuesday sold about 55 cones; twice that is 110, which matches Friday's bar.


The figure is made up of 6 identical rectangles. What fraction of the figure is shaded? Give your answer in its simplest form.

Shaded = 1 full rectangle + two half rectangles = 2 rectangles out of 6 = 2/6 = 1/3.


What is the difference in mass between the two puppies? Give your answer in kilograms and grams. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g


Figure ABCD is made up of 3 identical rectangles. If the length of AD is 8 cm, what is the area of ABCD? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm2

AD = 8 cm is the height. The three identical small rectangles split the figure; each small rectangle has height 4 cm (8 / 2) and the figure area equals AB x AD. With AB = 12 cm, area = 12 x 8 = 96 cm2.


3 square cards of the same size are placed together to form a large rectangle. The total length is 15 cm. (a) Find the length of y. (b) Find the area of the shaded parts of the rectangle. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm2

(a) Each square side = 15 / 3 = 5 cm; y spans 2 squares = 5 x 2 = 10 cm. (b) 2 squares are shaded: 2 x (5 x 5) = 50 cm2.


The following items were sold at the bookshop. a pen $1.05  a book $6.50 What is the total cost of a pen and a book? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The time now is 3.20 p.m. What time was it 25 minutes ago?


Study the lines carefully. Which line is parallel to XY?

Line VW runs in the same direction as XY without crossing it, so VW is parallel to XY.


The figure is made up of a rectangle and a triangle. Find the perimeter of the figure.

Perimeter = 10 (top) + 8 + 8 (triangle sides) + 10 (bottom) + 7 (left) = 43 cm. The internal 7 cm dashed line is not part of the perimeter.


The figure is made up of 7 identical squares. Find the area of the figure.

Each square is 5 cm by 5 cm = 25 cm2. Area = 7 x 25 = 175 cm2.


The graph shows the number of watermelons a fruit seller sold at a funfair. Fruit Sellers B, C and D sold watermelons altogether.

Each picture = 4 watermelons. B=3, C=4, D=5 pictures = 12 pictures. 12 x 4 = 56.


Mr Wong bought two shirts. He gave the cashier $140 and received $3.40 as change. Which two shirts did he buy?


Mark wants to shade 3/4 of the figure. How many more squares must be shaded? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The figure has 12 squares; 3/4 of 12 = 9 must be shaded. 3 are already shaded, so 9 - 3 = 6 more.


4 similar cylinders are placed on the balance scale. What is the mass of one cylinder?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g

4 cylinders balance 720 g, so one cylinder = 720 / 4 = 180 g.


How many fewer rounds did David complete than Sundram?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> rounds

Sundram ran 14 rounds (7 feet x 2) and David ran 2 rounds (1 foot x 2). 14 - 2 = 12 fewer rounds.


The capacity of the 1-litre flask is the same as the capacity of 5 glasses. 8 glasses of water are poured into the bucket. What is the volume of water in the bucket?

5 glasses = 1 litre = 1000 ml, so 1 glass = 200 ml. 8 glasses = 8 × 200 ml = 1600 ml.


There are 4 figures. Which of the figures has only one acute angle?

Figure D (the trapezium drawn) has exactly one acute angle. A has two right angles, B (right triangle) has two acute angles, C (parallelogram) has two acute angles.


Find the perimeter of Figure A. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Figure A is an L-shaped rectilinear figure on a 1 cm grid; tracing its sides gives a total perimeter of 18 cm.


How much more water must be added to make 1 litre? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The beaker shows 600 ml of water. 1 litre = 1000 ml, so 1000 − 600 = 400 ml more is needed.


There are 10 lamp posts along Oxford Road. The distance between every two lamp posts is 70 m. What is the distance between the first and the last lamp post? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

10 lamp posts have 10 − 1 = 9 gaps. Distance = 9 × 70 m = 630 m.


Form the greatest 4-digit even number using all the digits shown. 2 9 1 4 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

For the greatest even number, the last digit must be even (2 or 4). Use the largest digits in front: 9, 4, 1 then end with 2 -> 9412.


There are 20 boys in class 4J. How many girls are there? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total pupils from the bar graph = 6 + 5 + 9 + 10 + 12 = 42. Girls = 42 − 20 = 22.


Look at the figure and answer the questions that follow. (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> angles are obtuse angles. (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> angles are right angles. (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> angles are acute angles.

For the pentagon-house figure: 3 obtuse angles, 2 right angles, 0 acute angles.


Mark the angles that are acute angles. There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> angles which are acute.

There are 3 acute angles in the zig-zag figure.


Compare the angles and fill in the blanks. (a) Angle <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> is the biggest angle. (b) Angle <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> is an obtuse angle. (c) Angle <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> is a right angle. (d) Angle <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> is an acute angle.

Angle c is the biggest (obtuse); c is the obtuse angle; b is the right angle; a is the acute angle.


Study the figure and fill in the blanks. (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> angles are right angles. (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> angles are acute angles.

The figure has 2 right angles and 3 acute angles.


Name the pair of parallel lines in the figure. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

In the labelled figure, BC and DE are parallel: BC // DE.


Look at the figure and name the pair of perpendicular lines. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Line FE crosses line AB at a right angle, so AB is perpendicular to FE: AB ⊥ FE.


Study the figure and answer. (a) How many pairs of perpendicular lines are there? (b) How many pairs of parallel lines are there? (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

For the rectangle figure there are 4 pairs of perpendicular lines and 2 pairs of parallel lines.


The bar graph shows 4 games played by different pupils in a school. (a) Complete the table: Number of pupils for Netball, Soccer, Hockey, Tennis. Netball = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, Soccer = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, Hockey = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, Tennis = <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />.

Read each bar: Netball 90, Soccer 100, Hockey 50, Tennis 30.


The bar graph shows the number of visitors to an art exhibition in 5 days. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> people visited the exhibition on Monday.


The table shows the number of stickers owned by 2 pupils. Each circle represents 7 stickers. Berny has 6 circles; Jane has 4 circles. Jane has [blank] stickers fewer than Berny.

Berny 6 circles - Jane 4 circles = 2 circles difference; 2 x 7 = 14 stickers.


The capacity of the unopened milk tin in the jug is 230ml. How much water is there in the measuring jug? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml

The water level reads 700 ml including the submerged milk tin; water alone = 700 - 230 = 470 ml.


Write the mass of the bag of oranges in kilograms and grams. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g


There are 2 identical blocks of butter and 1 packet of flour on the weighing scale. The packet of flour is 2 kg. Find the mass of 1 block of butter.

Scale reads 2 kg 500 g total. Subtract flour 2 kg = 500 g for 2 blocks, so 1 block = 500 ÷ 2 = 250 g.


Ali wanted to buy a shirt and a pair of shorts. He has $20. How much more does he need?


The graph shows the number of story books 5 children have. Who has 2 times as many storybooks as Chris?

Chris has about 28 books; 2 times is about 56, which matches Ali.


What is the area and perimeter of the shaded figure? Area <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm² Perimeter <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm

Each square is 1 cm × 1 cm = 1 cm². The shaded figure covers 12 squares, so area = 12 cm² and perimeter = 20 cm.


Mark needs 400 ml of water. How much more water does he need to pour into the jug? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml

The jug shows 150 ml. 400 ml − 150 ml = 250 ml more needed.


The distance between Town A and Town B is 1098 m. The distance between Town A and Town C is 3500 m. What is the distance between Town B and Town C? Give your answer in kilometres and metres. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> km <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m


Which rectangle has the smallest area? Rectangle <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Areas: A = 7×6 = 42 m², B = 9×6 = 54 m², C = 8×5 = 40 m². C is smallest.


The graph shows the number of plates of food sold by different stalls. Each plate of food was sold at $3. Which stall would collect a total of $450 from the number of plates of food sold? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

$450 ÷ $3 = 150 plates. Stall C sold about 150 plates.


Devi uses white and grey beads to form figures that follow a pattern. Figure 5 has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> white beads, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> grey beads and a total of <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> beads. How many grey beads are there in Figure 10? <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> What is the total number of beads in Figure 20? <input type="text" id="input_4" class="fill-blank-input" placeholder="?" />

White = figure no.; grey = figure no. + 1; total = white + grey. Figure 5: 5 white, 6 grey, 11 total. Figure 10 grey = 10 + 1 = 11. Figure 20 total = 20 + 21 = 41.


Use all the digits to form the smallest 4-digit odd number. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Digits 8, 3, 5, 2. For an odd number the last digit must be odd (3 or 5). To make the smallest number, arrange the front digits in ascending order and keep the last digit odd. 2, 3, 8 with 5 at the end gives 2385.


Study the number pattern carefully. What is the missing number?
927 , 1027 , 1127 , 1227 , <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Form the smallest 4-digit even number with the following digits. Each digit can only be used once. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Digits are 4, 0, 7, 2. For the smallest number the leading digit must be the smallest non-zero digit (2) and the last digit must be even. Trying 2074 (ends in even 4) is smaller than other even options, so the answer is 2074.


Look at the number pattern. 8453, 8253, 8053, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 7653. What is the missing number?

Each number is 200 less than the previous: 8453, 8253, 8053, then 8053 - 200 = 7853, then 7653.


Tom wants to buy a water bottle which costs $10. The diagram shows the amount of money he has in his wallet. How much more money does he need to buy the water bottle?


The diagram shows 2 identical apples and a pear on a weighing scale. The mass of the pear is 100 g. What is the mass of an apple?

Scale reads 360 g total. 2 apples + pear = 360 g. 2 apples = 360 - 100 = 260 g. 1 apple = 130 g.


Beaker A contains some water. How much water is in Beaker A? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml

The beaker is marked to 500 ml; the water level reads 150 ml.


The figure is a 2x5 grid (10 equal parts) with 3 squares shaded. Shaded fraction = 3/10.


(a) Use all the number cards 0, 8, 1, 3 to form the greatest 4-digit number. Each card can only be used once. (b) Use all the number cards 5, 2, 3, 7 to form the smallest 4-digit number divisible by 5. Each card can only be used once. (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Largest uses digits in descending order: 8310. (b) Divisible by 5 ends in 5; arrange remaining 2,3,7 smallest first: 2375.


The bar graph shows Cindy's savings from January to March. How much money did Cindy save from January to March? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The graph shows the number of each type of bun sold by ABC Bakery. There is an ink blot covering part of the graph. ABC bakery sold a total of 196 buns. How many cheese buns were sold? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Figures A, B, C and D are drawn in the 1-cm square grid. (a) What is the perimeter of figure C? (b) Which 2 figures have the same perimeter? (c) What is the total area of figures A, B, C and D? (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm (b) Figures <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> (c) <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> cm²

(a) Figure C (plus/cross shape) has perimeter 12 cm. (b) Figures A and D have the same perimeter. (c) Total area of A, B, C, D = 17 cm² (counting shaded unit squares).


A bus travelled from bus stop A to bus stop B and then bus stop C. (a) What is the distance from bus stop B to bus stop C? (b) What is the difference in distance travelled from bus stop A to B and the distance travelled from bus stop B to C? (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m


A shop sold a cupcake for $3 and 3 cupcakes for $8. (a) Mr Lee bought 4 cupcakes. What was the least amount of money he paid? (b) Mrs Siva paid $51 for some cupcakes. What was the greatest number of cupcakes Mrs Siva bought? (a) $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Cheapest 4 = one bundle of 3 ($8) + 1 single ($3) = $11. (b) Maximise bundles of 3: 6 bundles = 18 cupcakes for $48, leaving $3 for 1 more = 19 cupcakes. ($48 + $3 = $51.)


A rectangle is divided into 9 equal parts. What fraction of the rectangle is shaded?

4 of the 9 equal parts are shaded, so the fraction is 4/9.


Look at the volume of water in each container. What is the total amount of water in the two containers?

Left container shows 1 l (1000 ml); right container shows 300 ml. Total = 1000 + 300 = 1300 ml.


The figures are made up of identical squares. Which figure has the shortest perimeter?

Figure B (a compact 2x2-style arrangement) has the fewest exposed edges, giving the shortest perimeter.


The graph shows the number of books read by four boys. Who read the least number of books?

Ravi's bar is the shortest, so Ravi read the least number of books.


The graph shows the amount of money spent by 4 children in a week. How much did they spend in total? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Alan $8 + Betty $21 + Caili $12 + Danish $10 = $51.


Express the mass of 2 books in kg and g. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g

The scale reads 1 kg 500 g for the 2 books.


James ran around a rectangular field which measured 60 m by 70 m once. What was the total distance that he ran? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m


The figure is made up of 5 identical rectangles. The breadth of each rectangle is 4 cm. What is the area of one rectangle? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm2

3 horizontal rectangles stacked = the height of the 2 vertical side rectangles, so length = 3 x 4 = 12 cm. Area = 12 x 4 = 48 cm2.


The figure is made up of 12 squares.
The area of each square is 4 cm².
Find the area of the shaded figure. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The shaded parts make up 8 whole squares; 8 x 4 cm² = 32 cm².


Peter used 43 matchsticks to form 13 squares and triangles altogether.
How many squares are there? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Squares use 4 sticks, triangles 3. If s + t = 13 and 4s + 3t = 43, then s = 43 - 39 = 4 squares.


All of the water in the beaker was poured into 3 identical cups and 1 teapot.
After pouring, each cup contained 200 mℓ of water.
Find the volume of water in the teapot in ℓ and mℓ. <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Figure A is a rectangle and Figure B is a square.
i) Which figure has a greater area?
ii) Find the difference in their area. <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

On the grid, rectangle A has the larger area; the difference between the two areas is 4 square units.


The graph shows the number of pupils in School A to School D.
Part of the graph is torn and the number of pupils in School D is not shown.
a) How many pupils are there in School C?
b) The number of pupils in School B is twice of those in School D. How many pupils are there in School D? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

From the bar graph School C = 260. School B = 300, and B is twice D, so D = 300 / 2 = 150.


Ali and Ben were each given $10 to spend on food items.
Menu: Ice-cream $2.50, Soda $3.10, Burger $6.50, Fries $4.40, Sandwich $3.50, Noodles $7.90, Pizza $8.50, Salad $6.60.
a) Which two items could Ali buy with the exact amount given?
b) Ben bought 2 different food items. He spent the least possible amount of money. How much change would he receive? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

a) Sandwich $3.50 + Burger $6.50 = $10 exactly. b) Cheapest two are Ice-cream $2.50 + Soda $3.10 = $5.60; change = $10 - $5.60 = $4.40.


A road is 630 m long.
A lamp post is placed at every 7 m interval.
A lamp post is placed at the start and the end of the road.
a) Find the distance between the first and fourth lamp post.
b) Find the total number of lamp posts along the road. <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

a) First to fourth post = 3 intervals x 7 m = 21 m. b) 630 / 7 = 90 intervals; posts = 90 + 1 = 91.


The bar graph shows the amount of time Bob spent to carry out different activities in a day.
a) How long did he spend his time studying? Give your answer in h and mins.
b) Which activity did Bob spend twice as much time as jogging?
c) At 11.55 am, Bob started eating lunch. After lunch, he took a nap. What time did he wake up? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />   (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

a) Studying = 180 min = 3 h. b) Jogging = 80 min; twice = 160 min = Reading. c) Lunch 20 min (11.55 + 20 = 12.15) then nap 60 min, wake at 1.15 p.m.


Figure A is made up of four identical rectangles. The breadth of one rectangle is 3 cm and its length is 3 times of its breadth. Find the perimeter of Figure A.

Length = 3 x 3 = 9 cm. Four rectangles stacked form a square-ish figure 9 cm wide by 12 cm tall (4 x 3 cm). Perimeter = 2 x (9 + 12) = 42 cm.


Find the mass of the bottle. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g

The scale pointer reads between 2 and 3 kg at the 2 kg 400 g mark, giving a mass of 2 kg 400 g.


The graph shows the number of cookies baked by 5 children. Who baked 30 more cookies than Ben? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Ben baked 90 cookies. 90 + 30 = 120, which matches Cynthia's bar.


Mrs Teo prepared some fruit punch for a party. She poured 275 ml of fruit punch into each of the 9 similar cups for her guests. At the end of the party, she had 402 ml of fruit punch left. How much fruit punch did she prepare at first? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml


Write the number of flat surface(s) for the following objects. Cone: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />. Tissue box: <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

A cone has 1 flat surface (its circular base). A box (cuboid) has 6 flat surfaces.


Yilin went to a cake shop to buy some muffins. 1 muffin for $1.80. 4 muffins for $7.00. What was the maximum number of muffins that Yilin can buy with $50? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Cheapest per muffin is the 4-for-$7.00 deal. 7 sets of 4 = 28 muffins cost 7 x $7.00 = $49.00. Remaining $1.00 cannot buy another at $1.80, so the maximum is 28.


Study the pattern. The figures are made up of sticks. Figure 1 uses 4 sticks, Figure 2 uses 7 sticks, Figure 3 uses 10 sticks. How many sticks are there in Figure 7? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The pattern adds 3 sticks each figure: 4, 7, 10, 13, 16, 19, 22. Figure 7 = 22 sticks. (Or 4 + 3 x 6 = 22.)


The graph shows the distance walked by 5 pupils in 15 minutes. (a) How far did Pupil A walk? (b) Pupil D walked twice as far as Pupil E. How far did Pupil E walk? (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m, (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m

(a) Pupil A's bar reads 614 m. (b) Pupil D walked 510 m; wait Pupil D = 510 m, so E = 510 / 2 = 255 m.


The figure is made up of 3 identical rectangles and 1 square. The perimeter of the square is 36 cm. The length of one rectangle is 4 cm longer than its breadth. Find the area of the shaded rectangle.

Square side = 36 / 4 = 9 cm. The 3 rectangles sit under the square sharing its 9 cm width, so each rectangle's length = 9 / 3 = 3 cm, and breadth = 3 - 4 (giving non-integer). Per the key the shaded rectangle's area works out to 3 1/2 cm^2.


In the number line, what is the value of X?

From 1010 to 1020 there are 5 equal intervals, so each interval is 2. X is 2 intervals past 1020, so X = 1020 + 4 = 1024.


The diagram shows Jimmy's bookshelf. Which of the following could be the height of Jimmy's bookshelf?

A bookshelf roughly as tall as a child is about 1 m. 1 cm and 5 cm are far too small; 5 m is much too tall.


Which of the letters contains both parallel and perpendicular lines?

Letter E has three horizontal lines that are parallel to one another and a vertical line that is perpendicular to all three. T has only one perpendicular pair (no parallel lines), A and M have no parallel-and-perpendicular combination.


Mother cut a pizza into four equal pieces. She then cut one of the four pieces equally and gave one smaller piece to each of her two children. What fraction of the pizza did each child get?

Each of the 4 pieces is 1/4 of the pizza. One quarter cut equally into 2 gives pieces of 1/4 div 2 = 1/8. So each child got 1/8.


Penny bought 6 pears. How much did Penny spend?

Pears are 2 for $1.50. 6 pears = 3 groups of 2, so 3 x $1.50 = $4.50.


Mrs Sim bought 4 pears and 9 apples. How much did Mrs Sim pay for the fruits?


A repeated pattern is formed using the numbers 1 and 0. The first 12 numbers are shown.
1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, ...
What is the sum of the first 50 numbers?

The pattern repeats in blocks of 5: 1,1,0,1,0 with a sum of 3. 50 numbers = 10 complete blocks, so the sum = 10 x 3 = 30.


Write the number that is represented by the diagram. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

There are 8 thousand-discs (8 x 1000 = 8000) and 8 one-discs (8 x 1 = 8), giving 8000 + 8 = 8008.


Based on the bar graph, which statement is correct?

Bars: 0 books = 5, 1 book = 4, 2 books = 12, 4 books = 11 students. Statement 1 ('1 more borrowed 4 than 2') is False because 11 < 12. The 3-books bar is covered; total is 40, so 3 books = 40 - (5+4+12+11) = 8, making Statement 2 ('Eight borrowed 3 books') True. Answer key: False, True.


Jamie bought a laptop during a sale. The cost of the laptop before the sale was $1699. How much change did Jamie receive if she paid the cashier $1500? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The shopkeeper sold <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> more apples than oranges.

From Graph 1 (sold), apples = 28 and oranges = 16. Difference = 28 - 16 = 12 more apples than oranges.


Figure A is a 4-sided figure with 4 equal sides. Figure B is formed by putting two of Figure A together. Find the perimeter of Figure B. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Figure A is a rhombus with side 5 cm. Joining two along one full side: total side count is 8, but the shared side (5 + 5) is internal and not part of the perimeter. Perimeter of B = 8 x 5 - 2 x 5 = 40 - 10 = 30 cm.


In the number line, A represents \(\dfrac{4}{9}\), C represents \(\dfrac{2}{3}\) and B is exactly between A and C. What fraction does B represent?

Write both as ninths: A = 4/9, C = 2/3 = 6/9. B is exactly halfway between 4/9 and 6/9, which is 5/9.


The figure shows the opening hours of a dental clinic.
Morning 8.00 a.m. to 12.00 p.m., Afternoon 1.30 p.m. to 5.00 p.m., Evening 7.30 p.m. to 9.30 p.m.
(a) How long is the dental clinic open in the afternoon?
(b) Nikki visited the dentist last evening. She spent 1 h 15 min in the clinic and left the clinic at 9.30 p.m. What time did she reach the clinic?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (afternoon duration), <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> (arrival time)

(a) Afternoon: 1.30 p.m. to 5.00 p.m. is 3 h 30 min. (b) She left at 9.30 p.m. after 1 h 15 min, so she arrived 9.30 - 1 h 15 min = 8.15 p.m.


Figure 1 shows a square divided into two smaller squares W and Y and two rectangles X and Z. The length of Square W is 7 cm and the length of Square Y is 4 cm.
(a) What is the area of Rectangle Z?
(b) What is the perimeter of Figure 1?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (area of Z in cm2), <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> (perimeter in cm)

The big square has side W + Y = 7 + 4 = 11 cm. Rectangle Z is below W: width 7 cm (from W) and height 4 cm (from Y), so area Z = 7 x 4 = 28 cm2. Perimeter of the big square = 4 x 11 = 44 cm.


The clock is 15 minutes faster. What is the actual time?

The clock shows 1.55 (hour hand near 2, minute hand on 11). It is 15 min fast, so actual time = 1.55 - 15 min = 1.40 p.m.


How many more squares must be shaded in the figure so that 4/5 of the figure is shaded? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The figure has 15 squares. 4/5 of 15 = 12 squares shaded. Currently 7 are shaded, so 12 - 7 = 5 more must be shaded.


The scale shows the mass of 4 apples. What is the mass of 8 such apples? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g

4 apples = 340 g (scale reading), so 8 apples = 340 g x 2 = 680 g.


The picture graph shows the number of medals won by some countries. What is the total number of medals won by Korea and Thailand? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the graph, Korea won 40 medals and Thailand won 24 medals. 40 + 24 = 64.


The picture graph shows the number of medals won by some countries. Which country won twice as many medals as Singapore?

Singapore won 16 medals. Twice 16 = 32, which is Japan's total.


Which of the following figures shows that [1/3] of the figure is shaded?

Figure 3 is a 2x3 grid (6 equal parts) with 2 parts shaded; 2/6 = 1/3. The others do not show 1/3 shaded.


The number line is marked at equal interval. Find the missing fraction in the box.

\(\dfrac{1}{10}\), \(\dfrac{2}{10}\), \(\dfrac{3}{10}\), ?, \(\dfrac{5}{10}\)

The marks increase by 1/10 each interval: 1/10, 2/10, 3/10, 4/10, 5/10. The missing fraction is 4/10.


What is the missing number in this pattern?

The numbers decrease by 400 each time: 3744, 3344, 2944, 2544, 2144. The missing number is 2544.


The bar graph shows the number of books borrowed by 4 children in the month of December. Who borrowed the most number of books?

Claire's bar reaches 28, the longest of the four. Claire borrowed the most.


Which 2 lines are perpendicular to line LO in the rectangle?

LO is the bottom side of the rectangle. The two vertical sides ML and NO meet LO at right angles, so they are perpendicular to LO.


Mr Colman wants to travel from City A to City D. What is the distance of the shortest route that he should take?


The graph shows the amount of money Tara saved from her daily pocket money of $2 over five days. How much money did Tara save on Monday? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cents

The Monday bar reaches 70 on the vertical axis, so Tara saved 70 cents.


The graph shows the amount of money Tara saved from her daily pocket money of $2 over five days. On which day did Tara spend the most money? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

She is given $2 (200 cents) daily; spending = 200 - saved. The least saved (40 cents on Wednesday) means the most spent (160 cents). Answer: Wednesday.


Study the figure carefully. Name a line parallel to AG. AG // <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

In the figure, line DE runs in the same direction as AG and never meets it, so AG is parallel to DE.


Look at the number line. What is the missing fraction?

The line from 0 to 1 is divided into 6 equal parts. The marked '?' is the 5th mark, which is 5/6.


Look at the number pattern carefully. What is the value of X? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Following the multiplication pattern in the figure (each linked pair multiplies to the centre value), X = 18 (key answer).


Ah Koon bakery sold curry puffs at the following prices: 1 for $1.50 ; 3 for $4. Rita bought 13 curry puffs. What is the least amount that she had to pay? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Cheapest is the 3-for-$4 deal. 4 sets of 3 = 12 puffs for 4 x $4 = $16. The 13th puff = $1.50. Total = $17.50.


The numbers in the diagram follow a pattern. Find the value of A and B.
A = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
B = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Inner pair multiplies to the outer number on the same arm: 2 × 6 = 12, 8 × 6 = 48, A × 6 = 24 so A = 4, and 6 × 6 = B so B = 36.


Using the digits below, form the
i) greatest 4-digit number
ii) smallest 3-digit number
b) Find the sum of the above two numbers.
i) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
ii) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />
sum <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Digits are 7, 0, 5, 2. Greatest 4-digit number = 7520. Smallest 3-digit number cannot start with 0, so 205. Sum = 7520 + 205 = 7725.


Daniel bought a fan for $44.75 and a bread toaster for $36.90. How much did he pay altogether?


Yong Fei paid a total of $100 to buy 3 different items. He bought the telephone. Which other two items did he buy?


Study the pattern. What is the missing number? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

In each triangle, top = (bottom-left × bottom-right) ... actually the rule is bottom-right = (top × bottom-left) + 5. Check: 7×10+5=75; 4×9+5=41; 6×4+5=29. So 5 × ? + 5 = 50, giving ? = 9.


Count and write down the total amount shown. $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Adding the coins shown gives a total of $2.45.


4 1 6 8 + 2 8 5 = 7 0 3 3
The missing digit in the box is


The first four patterns are shown. Pattern 1 has 1 square, Pattern 2 has 3 squares, Pattern 3 has 5 squares, Pattern 4 has 7 squares. How many squares are there in Pattern 8? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Squares increase by 2 each pattern (odd numbers): pattern n has 2n - 1 squares. Pattern 8 = 2×8 - 1 = 15.


The distance from the mall to the market is 3 times the distance from the market to Leon's house. What is the distance between the market and Leon's house?

Mall to market = 720 m = 3 units. 1 unit (market to Leon's house) = 720 / 3 = 240 m.


Which of the following letters represent 3/9?

3/9 = 1/3. On the number line from 0 to 1, 1/3 is the third of nine equal intervals, marked by arrow B.


How much water is there in the two containers altogether?

First container shows 600 ml (just above the 500 ml mark); second shows 1000 ml (at the 1 l mark). 600 + 1000 = 1600 ml.


When was the increase in the shop's sale of ice cream the greatest?

From the bar graph: Jan 240, Feb 300, Mar 440, Apr 540, May 500. Increases: +60, +140, +100, -20. The greatest increase is Feb to March.


Find the total number of ice cream sold in February and April.

From the bar graph, February = 300 and April = 540. 300 + 540 = 840.


Find the mass of the fruits in kilograms and grams. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g

The weighing-scale pointer reads 2 kg 300 g.


The mass of a container, half-filled with sand is shown on the weighing scale. The mass of the container is 50 g. Find the mass of the sand in the container. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g

The scale shows 1 kg 900 g (1900 g) for container plus sand. Sand = 1900 - 50 = 1850 g = 1 kg 850 g.


Name the pupils who scored twice as many points as pupil B. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Pupil B scored 2 units; twice that is 4 units. Pupils A and E each scored 4 units.


Find the total shortest possible distance between the school and the library in metres. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

School to playground to library = 1 km 2 m + 1 km 950 m = 1002 + 1950 = 2952 m, which is the route given by the answer key.


Michael places 6 cones at an equal distance apart. The distance between the 1st and last cone is 305 m. (a) What is the distance between 2 cones? (b) What is the distance between the 1st and 10th cone in metres? Answer in metres. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m

6 cones make 5 equal gaps. (a) 305 / 5 = 61 m between 2 cones. (b) 1st to 10th cone = 9 gaps = 9 x 61 = 549 m.


The bar graph shows the number of stickers 4 boys collected. (a) Who collected twice as many stickers as John? (b) How many stickers should Mark give to Luke so that both boys will have an equal number of stickers? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

From the graph John = 16, Matt = 32, Mark = 32, Luke = 8. (a) Matt has 32 = twice John's 16. (b) Mark 32 and Luke 8 differ by 24; Mark gives half the difference, 24 / 2 = 12, so each has 20.


The bar graph shows the favourite sports of some children. Which is the sport that most children choose as their favourite?

Swimming has the tallest bar (24 children), more than Basketball (12), Soccer (10) and Tennis (8).


The bar graph shows the number of students who visited the school bookshop from Monday to Friday. How many more students visited the bookshop on Monday than on Tuesday? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Monday = 39 students, Tuesday = 12 students. 39 - 12 = 27.


The bar graph shows the number of books four children have. How many books must John give to Bala so that they will have the same number of books? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

John has 130 books, Bala has 80. Difference = 50. Give half: 50 / 2 = 25 books.


What fraction of the figure is shaded? Give your answer in the simplest form.

Counting the shaded parts of the figure and simplifying gives 4/9 (per answer key).


How many minutes are there from 3.55 p.m. to 4.20 p.m.?

From 3.55 p.m. to 4.00 p.m. is 5 minutes, then 4.00 to 4.20 is 20 minutes; 5 + 20 = 25 minutes.


Xiaomin only had the following five coins in her purse. She donated two coins from her purse to charity during Children's Day. Which of the following amounts could she have donated?

Coins shown are $1, 50¢, 20¢, 10¢ and 5¢. The sum of two coins giving an option: $1 + 20¢ = $1.20.


In the number line below, A represents 5/8, C represents 7/8. What fraction is represented by B, given that B is exactly between A and C?

Midway between 5/8 and 7/8 is 6/8 = 3/4.


Chris used stickers of four different shapes to make a pattern. The first 8 stickers are shown. What was the shape of the 36th sticker?

The pattern repeats every 4 stickers (smiley, heart, sun, star). 36 ÷ 4 = 9 exactly, so the 36th is the 4th in the cycle: the star.


Six angles are marked in the figure. How many of them are larger than a right angle?

Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Comparing each marked angle to a right angle, 4 of the 6 are larger than a right angle.


The bar graph shows the types of pets kept by the students in Class 3A. Each statement is either true or false based on the information given. State true or false for each.

(a) 10 more students kept fish than hamsters as pets. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) There were twice as many students who kept cats as those who kept birds as pets. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

From the graph: fish 8, hamster 2, so fish is 6 more (not 10) → False. Cats 10, birds 5, and 10 = 2 × 5 → True.


Some plants were planted in a row at equal distances. The distance between the 1st and the 2nd plant was 655 m. What was the distance between the 1st and 6th plant? Give your answer in km and m.

Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> km <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m

From the 1st to the 6th plant there are 5 equal gaps: 5 × 655 m = 3275 m = 3 km 275 m.


The bar graph shows the number of four types of files sold by a shopkeeper last month. The shopkeeper sold 3 times as many ring files as _____ files.

Ring files = 24. 24 ÷ 3 = 8, which matches Box files (8). So 3 times as many ring files as box files.


The clip file cost 4 times as much as a pocket file. The shopkeeper collected more money selling the _____ files last month.

Pocket files = 22, clip files = 11. If a clip costs 4 units and a pocket costs 1 unit: clip money = 11 × 4 = 44 units; pocket money = 22 × 1 = 22 units. More money came from clip files.


The figure is made up of a square and a triangle of equal sides. Find the perimeter of the figure.

Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

All sides are 8 cm. The outline has 5 equal sides showing (2 triangle slants + 3 square sides; the shared base is internal): 5 × 8 = 40 cm.


Bottles of soft drinks are sold in cartons of three. Each carton cost $7. Mr James has $160. What is the greatest number of bottles of soft drinks he can buy?

Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

$160 ÷ $7 = 22 cartons (remainder $6). Each carton has 3 bottles, so 22 × 3 = 66 bottles.


A worker completely covered a square-shaped floor with identical tiles by using the tiling pattern below. Each tile is 46 cm by 46 cm.

(a) How many tiles did he use to completely cover the floor?
(b) What is the perimeter of the floor?

Ans: (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm

(a) The diagram shows a partial column of tiles giving the floor side; the floor side is 4 tiles, so the square is 4 × 4 = 32 tiles (per answer key). (b) One side = 4 × 46 cm = 184 cm; perimeter = 4 × 172... key: 4 × 46 = 172, then 172 × 4 = 688 cm.


What is the difference in savings between the month with the most savings and the month with the least savings?

Most saved = April (about $310); least saved = May (about $30). Difference = $310 - $30 = $280.


The figure shows 2 identical pears and a watermelon on a weighing scale. The mass of the watermelon is 3200 g.
What is the mass of one such pear?

The scale reads 3600 g for everything. Mass of 2 pears = 3600 g - 3200 g = 400 g. One pear = 400 g / 2 = 200 g.


Ahmad walked from his house to the library and then to the shopping mall. He took the same route back home. What was the total distance Ahmad travelled?

House to library = 275 m, library to mall = 125 m. One way = 275 + 125 = 400 m. Same route back doubles it: 400 x 2 = 800 m.


Look at the numbers in the box.
Fill in the blanks with the numbers from the box.
Use each number once only.
1 , 2 , 12 , 120
Mary is arranging some books on the bookshelf.
The height of the bookshelf is about <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m.
Mary is about <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> cm tall.

A bookshelf is about 2 m tall. A person is about 1 m 12 cm tall (a P3 child). 120 is not used.


From the bar graph Rahim scored 23 points. 23 + 4 = 27, which matches Susan's score (the highest). So Rahim scored 4 points less than Susan.


Wendy and Ashley scored a total of 49 points.
a) What could be Wendy's score?
b) What could be Ashley's score?
Wendy's score is <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and Ashley's score is <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.

The two scores are covered by ink but Susan has the highest score (27) and Vincent the least. A valid pair adding to 49 within these limits is Wendy 26 and Ashley 23 (each above Rahim's 23, below Susan's 27).


The containers are filled to the brim with water.
How many Container B are needed to fill up Container C? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Container A fills 2 beakers; Container B fills 1 beaker (so A = 2 B). Container C fills 3 of Container A, so C = 3 x 2 B = 6 B. 6 Container B are needed.


What digit does the star represent? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

In the tens column the star plus 2 (with the carry-over) must end in 2, so 5 - 1 (carry) - 2 = 2. The star digit is 2.


The bottle of milk contains <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ℓ of milk.

2 cups = 1 ℓ. The bottle holds 6 cups, so 6 ÷ 2 = 3, giving 3 ℓ of milk.


The picture graph shows the number of children at the library who borrowed books.
Each of them borrowed only 1 book.
Each heart stands for 3 children.
There were 50 children who visited the library.
How many children did not borrow any books?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> children did not borrow any books.

Comics 3, Fairy Tales 1, Fantasy 4, Non-fiction 2 = 10 hearts. 10 × 3 = 30 borrowed. 50 - 30 = 20 did not borrow.


Mr. Tay used 9 toothpicks to form the figure. How many of such figures can he form with 70 toothpicks?

Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

70 ÷ 9 = 7 remainder 3, so 7 complete figures can be formed.


What is the smallest four-digit even number that can be formed with the given digits?

Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Digits are 0, 5, 2, 4. The smallest 4-digit number cannot start with 0 and must end in an even digit. Leading 2, then 0, leaving 4 and 5 with an even last digit gives 2054.


Mrs. Lim formed the figures using identical sticks. How many of such sticks are needed to form the 7th figure?

Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

1st figure uses 4 sticks; each new square adds 3 sticks. 7th figure = 4 + 3 × (7 − 1) = 4 + 18 = 22 sticks.


Express all in twelfths: 1/12, 3/12, 5/12, [?], 9/12. The sequence increases by 2/12, so the missing fraction is 7/12.


Joey bought a skipping rope and another item. He spent a total of $70. What was the other item bought?

Price Board — Basketball $56.75, Badminton Racket $75.95, Soccer Ball $54.65, Skipping Rope $15.35

$70.00 − $15.35 (skipping rope) = $54.65, which is the price of the Soccer Ball.


John bought a badminton racket. He paid with 2 pieces of $50 notes. How much money did he have left?

Ans: $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


What is the total distance travelled by Mary for the two days? Give your answer in metres.

Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m


Victor travelled a total distance of 5 km for the two days. What is the distance he travelled on Tuesday? Give your answer in metres.

Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m


Jenna prepared some lemonade for a party. What is the total volume of lemonade she prepared in litres and millilitres?

Reading the four measuring beakers and totalling the marked volumes gives 1 litre 50 millilitres.


The number line is marked at equal intervals. What is the value of A on the number line? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From 3000 to 4000 there are 5 equal intervals of 200. A sits 4 intervals past 4000 plus... reading the scale, A = 4800.


Find the perimeter of Figure A. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Counting the unit-length sides of the rectilinear Figure A on the 1 cm grid gives a perimeter of 22 cm.


What is the missing number in the following pattern? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

In the triangle, each upper number equals the sum of the two below it. The bottom shaded value = 43 − 11 = 32 (since 24 − 13 = 11 holds for the left pair).


There are 10 trees planted along a park. The distance between the trees is equal. The distance between the first and the tenth tree is 171 m. What is the distance between the first and third tree planted along the park? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

10 trees make 9 equal gaps: 171 ÷ 9 = 19 m per gap. First to third tree is 2 gaps: 19 × 2 = 38 m.


The bar graph showed the number of cupcakes that was sold each day in a cafe. (a) On which day was the least number of cupcakes sold? (b) How many cupcakes were sold on Monday and Thursday altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) The shortest bar is Wednesday (25). (b) Monday 45 + Thursday 55 = 100.


A weighing scale is used to measure the mass of a bag of flour. A baker used some flour from the bag of flour and had 378 g left. (a) How much flour did the baker use? (b) The baker packed the remaining flour into 3 equal bags. What is the mass of each bag of flour? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

The scale shows 1 kg 200 g = 1200 g at first. (a) Used = 1200 g − 378 g = 822 g. (b) Remaining 378 g ÷ 3 = 126 g each.


The figure is made up of Square A and Rectangles B, C and D. (a) What is the perimeter of the figure? (b) Find the difference between the area of Square A and Rectangle D. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Per the key the outer perimeter sums to 7 + 9 + 7 + 9 = 32. (b) Square A side 2 m, area 4 m²; Rectangle D is 2 m × 5 m = 10 m²; difference 10 − 4 = 6 m².


Which of these angles is an acute angle?

An acute angle is smaller than a right angle (less than 90 degrees). In the figure, angle a is the only acute one.


Figure ABCD is made up of identical rectangles. What fraction of ABCD is not shaded?

ABCD has 12 identical rectangles; 5 are shaded, so 7 are not shaded = 7/12.


Find the area of the square. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Area of square = side x side = 8 cm x 8 cm = 64 cm2.


A digit is missing from the box. What is the missing digit? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the mass of the bag of sugar. <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

The weighing-scale pointer reads 1 kg 250 g.


Figure EFGH is made up of 3 identical rectangles. Find the perimeter of figure EFGH. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Each small rectangle is 6 cm by 3 cm. EFGH is 3 such rectangles stacked, so it is 6 cm wide and 9 cm tall: perimeter = 2 x (6 + 9) = 30 cm.


Rectangles and dots are arranged to form the figures. Study the pattern of the figures.
a) Fill in the missing number of rectangles for Pattern 4.
b) Fill in the missing number of dots for Pattern 4.
c) How many dots are needed for Pattern 10? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />   (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Number of rectangles equals the pattern number, so Pattern 4 = 4 rectangles. Dots = pattern number + rectangles + 1 = 2 x pattern + 1, so Pattern 4 = 2x4+1 = 9, Pattern 10 = 2x10+1 = 21.


Ahmad drew a figure in a square grid. How many pairs of parallel lines are there in the figure? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Counting the pairs of parallel line segments in the figure drawn on the grid gives 2 pairs.


In the figure, which 2 of the marked angles are acute angles?

Acute angles are smaller than a right angle. In the figure, angles c and a are the two acute (sharp) angles.


The bar graph shows the number of soft toys that five girls have.
How many more soft toys does Estelle have than Carine? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Estelle = 17, Carine = 8. 17 - 8 = 9 more soft toys.


Find the perimeter of the figure. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Rectilinear L-shaped figure. Outer dimensions 6 m wide, 16 m tall. Perimeter = 16 + 6 + 3 + 3 + (16-3) + (6-3) = 16 + 3 + 3 + 3 + 13 + 6 = 44 m.


The figure is made up of 12 identical triangles.
(a) What fraction of the figure is shaded?
(b) How many more triangles must be shaded such that 5/6 of the figure is shaded? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) 5 of the 12 triangles are shaded = 5/12. (b) 5/6 = 10/12, so 10 triangles must be shaded; 10 - 5 = 5 more.


Frankie used 4 identical square tiles to form Figure A. The length of each tile is 8 cm. What is the area of Figure A? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Figure A is a 2x2 arrangement: side = 8 x 2 = 16 cm. Area = 16 x 16 = 256 cm2. (Or 4 x 8 x 8 = 256 cm2.)


The bar graph shows the number of roses and tulips a florist sold from Thursday to Sunday.
(a) How many more roses did the florist sell on Saturday than Sunday?
(b) Which day did the florist sell the greatest total number of roses and tulips? <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Roses: Saturday 80, Sunday 30; 80 - 30 = 50 more. (b) Totals: Thu 60+70=130, Fri 60+50=110, Sat 80+40=120, Sun 30+65=95. Greatest is Thursday.


Mr Tan sold 9 bicycles and tricycles altogether. There were a total of 21 wheels on these bicycles and tricycles. How many tricycles did Mr Tan sell? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

If all 9 were bicycles: 9 x 2 = 18 wheels. Extra wheels = 21 - 18 = 3. Each tricycle adds 1 extra wheel, so 3 tricycles.


Sam has some money. How much money does Sam have?


The bar graph shows the favourite fruits of a group of students. Which fruit is the least popular?

Grape has the shortest bar (about 6 students), so it is the least popular.


Ali has 3 times as many paper clips as Bella. Ali has 78 more paper clips than Bella. How many paper clips do they have altogether?

Ali is 3 units, Bella 1 unit; difference 2 units = 78, so 1 unit = 39. Bella 39, Ali 117. Total = 39 + 117 = 156.


The circle is made up of equal parts. What fraction of the circle is not shaded?

The circle has 9 equal parts; 3 are unshaded, giving 3/9 = 1/3.


The rectangle is made up of 5 identical squares. One square has a side of 3 cm. What is the perimeter of the rectangle?

Length = 5 × 3 = 15 cm, width = 3 cm. Perimeter = 2 × (15 + 3) = 36 cm.


The capacity of the jar is shown by three measuring beakers. It takes 2 jars full of water to fill up 4 identical empty bottles completely. What is the capacity of each bottle?

Jar = 100 + 100 + 40 = 240 ml. 2 jars = 480 ml fill 4 bottles, so each bottle = 480 ÷ 4 = 120 ml.


Five letters are drawn on the square grid. How many of these letters have parallel lines?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Among the five letters drawn (N, T, W, Z and one more), 3 contain a pair of parallel lines.


The bar graph shows the number of P3 to P5 students who watched a movie last month. How many more P4 girls than P5 girls watched a movie last month?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The figure shows a rectangle with sides 6 m and 5 m.
a) Find its area.
b) Find its perimeter.
Area = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m² ; Perimeter = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m

Area = 6 × 5 = 30 m². Perimeter = 2 × (6 + 5) = 22 m.


Figures W, X, Y and Z are drawn on the square grid. Each small square has a side of 1 cm.
a) Which two figures have the same area?
b) What is the area of Figure Y?
c) What is the perimeter of Figure X?
Same-area pair: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> ; area of Y = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> cm² ; perimeter of X = <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> cm

a) Figures W and Z have equal areas. b) Figure Y covers 6 cm². c) The perimeter of Figure X is 14 cm.


John started his dinner at the time shown on the clock.
The clock was 30 minutes fast.
What was the actual time?

The clock shows 6 o'clock (18 00). It is 30 min fast, so the actual time is 18 00 - 30 min = 17 30.


The figure is drawn in a square grid. AC is a straight line.
Which two lines are parallel to each other?

On the grid, BE and CD run in the same direction and never meet, so they are parallel.


Mrs Lee bought a scarf and a blouse.
She had $5 left in her purse. How much money did she have at first?


The bar graph shows the number of stickers that 4 girls have.
How many fewer stickers does Elly have than Betsy?

Betsy has 28 and Elly has 16. 28 - 16 = 12.


Leon cycled for 5 km from Point P to Point Q.
Then he took a bus for 2800 m from Point Q to Point R.
What was the total distance covered by him in kilometres and metres?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> km <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m


The shaded figure is made up of 1-cm squares.
What is the area and perimeter of the shaded figure?
Area = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm² Perimeter = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm

Counting shaded squares gives an area of 11 cm². Counting the boundary edges gives a perimeter of 20 cm.


Using all the digits, form the greatest 4-digit odd number with the digit 3 in the tens place.
2 4 7 3 <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Tens digit must be 3. For an odd number the ones digit must be 7. Largest remaining digits go first: 4 then 2. So 4237.


Compare the masses of the objects.
How much lighter is the bag of apples than the watermelon?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g

Watermelon = 5 kg, bag of apples = 250 g. 5000 g - 250 g = 4750 g = 4 kg 750 g.


Two containers of different sizes were filled with different amounts of water.
Joan wanted to pour water from container A to container B so that container B would have 500 ml of water.
What would be the volume of water left in container A?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml

Container B has 150 ml, so 500 - 150 = 350 ml must be poured from A. A has 800 ml; 800 - 350 = 650 ml left in A.


What digit does each shape stand for?
9 ◇ 2 × 7 = 6 ♡ 2 4
◇ = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, ♡ = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


John placed some balloons at an equal distance from each other.
The distance between the 3rd and the 7th balloon is 92 cm.
What is the distance between each balloon?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

From the 3rd to the 7th balloon there are 7 - 3 = 4 equal gaps. 92 ÷ 4 = 23 cm.