Mr Rahim put up a fence around his rectangular garden.
The length of the garden is 10 m. Its breadth is 6 m.
One metre of fence cost $8.
How much did Mr Rahim pay for his fence?
$ <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


5 sixes = 5 groups of 6 = 30 stars. Option 2 shows 5 rows of 6 stars.


The figure shows a mango and a durian on a weighing scale. The mass of the mango is 250 g. What is the mass of the durian?

The scale reads 3 kg 200 g (3.2 kg) for both fruits. Subtract the mango: 3 kg 200 g - 250 g = 2 kg 950 g.


The figure is made up of 8 identical squares. The length of each square is 1 cm. What is the perimeter of the figure?

The 8 squares form a 4 cm by 2 cm rectangle. Perimeter = 2 x (4 + 2) = 12 cm.


The picture graph shows the different types of pets kept by 63 children. Given that the number of children who kept rabbits as pets was the same as the number of children who kept fish as pets, how many children does each symbol represent?

Symbols: Cat 1, Fish 2, Hamster 4, Rabbit = Fish = 2. Total symbols = 1 + 2 + 4 + 2 = 9. Each symbol = 63 / 9 = 7 children.


Ariel wants to shade 3/4 of the hearts. How many more hearts should she shade?

There are 12 hearts. 3/4 of 12 = 9 hearts to be shaded. 5 are already shaded, so she needs 9 - 5 = 4 more.


Use the following digits to form the smallest four-digit even number. 5, 7, 2, 1 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

To be smallest, arrange digits in ascending order; to be even, the last digit must be even (2). Smallest even arrangement is 1572.


All the water from the two beakers was poured into the jug. 125 ml of water flowed out from the jug. Find the capacity of the jug. Express your answer in litres and millilitres. Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> l <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> ml

Beaker 1 = 800 ml, Beaker 2 = 600 ml; total = 1400 ml. The jug overflowed by 125 ml, so its capacity = 1400 - 125 = 1275 ml = 1 l 275 ml.


A baker bakes 100 cookies at the start of each day from Monday to Friday. The bar graph shows the numbers of cookies sold each day. How many cookies were unsold on Monday and Tuesday? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Monday sold 60, so unsold = 100 - 60 = 40. Tuesday sold 28, so unsold = 100 - 28 = 72. Total unsold = 40 + 72 = 112.


10 arrows are spaced out equally along Line XY. The distance between the 1st arrow and the 4th arrow is 180 cm. Find the length of Line XY. Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

From the 1st to the 4th arrow there are 3 equal gaps = 180 cm, so 1 gap = 180 / 3 = 60 cm. From the 1st to the 10th arrow there are 9 gaps = 60 x 9 = 540 cm.


Notebooks are sold in a shop as shown. 1 notebook for $2.80; 3 notebooks for $8. Mr Muthu bought 14 notebooks. What was the least amount of money he needed to pay for all the notebooks? Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Buy as many 3-for-$8 packs as possible: four packs = 12 notebooks for 4 x $8 = $32. The remaining 2 notebooks cost 2 x $2.80 = $5.60. Total = $32 + $5.60 = $37.60.


The figure is made up of 5 identical rectangular tiles. Find the area of 1 tile. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The full figure is 25 cm wide. The 5 identical tiles arrange so the width gives one tile's breadth = 25 / 5 = 5 cm and length = 5 x 3 = 15 cm. Area of 1 tile = 15 x 5 = 75 cm2.


Look at the number pattern and find the missing number in the box.


Tim had two beakers of water, Beaker A and Beaker B. How much water was there in both beakers altogether?

Reading the two beakers and adding the volumes gives a total of 1000 ml.


The figures are drawn on a 1-cm grid. Which 2 figures have the same area?

Counting the shaded squares (and half-squares) for each figure on the 1-cm grid, figures B and C cover the same area.


Use all the following digits to form the greatest 4-digit odd number. Each digit can only be used once. Do not begin with the digit '0'.
8, 0, 9, 6
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

An odd number must end in 9 (the only odd digit). Using 8, 0, 6 for the remaining places, largest is 860, giving 8609.


The figure is made up of 10 equal parts. How many more parts must be shaded so that 3/5 of the figure is shaded?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

3/5 of 10 parts = 6 parts. The figure already has 1 part shaded, so 6 - 1 = 5 more parts.


How much farther was the distance between Town B and Town C than that between Town A and Town B?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m


The figure shows the height of a boy. What is his height
(a) in centimetres?
(b) in metres and centimetres?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm
(b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> cm

The pointer reads 160 cm. 160 cm = 1 m 60 cm.


The graph shows the number of story books read by a group of pupils last week. How many pupils read more than 1 but fewer than 4 books last week?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

More than 1 but fewer than 4 means 2 and 3 books: 18 + 8 = 26 pupils.


A group of people was asked to choose their favourite choice of drinks. The bar graph shows their choices. How many more people like fruit juice than soft drinks?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Fruit juice = 30, soft drinks = 18. Difference = 30 - 18 = 12.


Janice placed 3 rectangular cards of the same size together to form a large rectangle.
(a) What is the perimeter of the large rectangle?
(b) What is the area of the large rectangle?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm
(b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm2

Each card is 2 cm by 4 cm. Three side by side make a large rectangle 6 cm by 4 cm. (a) Perimeter = 2 x (6 + 4) = 20 cm. (b) Area = 6 x 4 = 24 cm2.


In the figure, which line is perpendicular to AB?

AB is the horizontal line. Line IJ is vertical, meeting AB at a right angle, so IJ is perpendicular to AB.


Candice was given $100 to buy a book and a recorder. How much change would Candice receive?


The figure is drawn on 1-cm square grid. The perimeter of Figure A is _______ cm.

Counting the unit edges around the shaded rectilinear figure on the 1-cm grid gives a perimeter of 20 cm.


Three angles are drawn on the square grid. Identify if the angle is an acute angle, a right angle or an obtuse angle.
acute angle: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
right angle: <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />
obtuse angle: <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Angle a is acute (smaller than a right angle), angle c is a right angle (90 degrees), angle b is obtuse (greater than a right angle).


The length of the rectangular field is 8 m. Its length is twice of its breadth. What is the area of the rectangular field? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Breadth = 8 div 2 = 4 m. Area = length x breadth = 8 x 4 = 32 m^2.


The graph shows the number of cups of orange juice sold over 5 days. The number of cups of orange juice sold is not shown. Each statement is either true or false. State whether each is true or false.
(a) Monday has the least number of cups of orange juice sold.
(b) The number of cups of orange juice sold on Thursday is more than the number of cups of orange juice sold on Wednesday.
(c) The number of cups of orange juice sold on Tuesday is twice the number of cups of orange juice sold on Friday. <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) Monday has the longest bar (most), so 'least' is False. (b) Thursday's bar is longer than Wednesday's, so True. (c) Tuesday is twice Friday's length, so True.


Gerard had some water in the two beakers.
a) What was the total amount of water in the two beakers?
b) He needed 3 ℓ of water to make some juice. How much more water did he need to make the juice? Give your answer in litres and millilitres. <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="?" />

Beaker A shows 800 ml and Beaker B shows 60 ml... total per key = 800 + 60 = 860 ml. b) 3000 ml - 860 ml = 2140 ml = 2 l 140 ml.


The bar graph represents the number of local and foreign stamps collected by Adam, Ben, Charlie and David.
a) Who had the least number of local and foreign stamps in total?
b) Who had twice as many foreign stamps as Ben?
c) Charlie sold some local stamps to Adam. In the end, both of them had the same number of local stamps. Charlie sold each stamp at $2. How much did Adam pay for the stamps? <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) Adam has the least total (70 local + 20 foreign = 90). b) Ben's foreign = 40, twice = 80 = David's foreign. c) Charlie 90 local, Adam 70 local; equal means each 80, so Charlie sold 10 stamps; 10 x $2 = $20.


Which house is the furthest from the swimming pool?

Distances: A 1980 m, B 1 km 800 m = 1800 m, C 1180 m, D 1 km 190 m = 1190 m. Largest is 1980 m, House A.


Bala bought a notebook and a bottle of orange juice. He gave the cashier $50. How much change did he get?


The clock shown is slower by 5 minutes. What is the correct time?

The clock shows 10:30; it is 5 minutes slow, so the correct time is 10:30 + 5 min = 10 35.


(a) Name the line perpendicular to AF.
(b) Name the line parallel to CD. <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 figure, the line perpendicular to AF is GC, and the line parallel to CD is BE.


Doughnuts are sold in boxes of 6. Mrs Tan needs to buy 62 donuts for a party. What is the least number of boxes of doughnuts Mrs Tan needs to buy? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

62 ÷ 6 = 10 remainder 2, so 10 boxes give 60; she needs 1 more box for the rest: 11 boxes.


Martha cut a square piece of paper into two parts and formed a new shape as shown in Figure A. What is the perimeter of Figure A? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Original square side 8 cm (one part 6 cm wide). Perimeter of the L-shaped Figure A = 6 + 8 + 8 + (8-6=2) + ... totalling 44 cm per the key: 28 (outer) + 14 + 2 = 44 cm.


The graph shows the number of children at a carnival.
(a) On how many days were there more girls than boys at the carnival?
(b) What is the total number of children at the carnival on Tuesday and Friday? <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) Girls exceed boys on Monday and Wednesday = 2 days. (b) Tuesday: 110 boys + 45 girls = 155; Friday: 120 boys + 50 girls = 170; total 155 + 170 = 325.


Yummy Bakery is having a sale.
Muffins for Sale
Buy 1 for $3
Buy 2 get 1 free!
a) How many muffins must Tom buy to get 5 free muffins?
b) What is the most number of muffins that can be bought with $35? <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) For each 2 bought, 1 is free; 5 free means 2 × 5 = 10 muffins bought. (b) $35 ÷ $3 = 11 bought (R$2). 11 bought = 5 sets of 2 (5 free) plus 1, so 11 + 5 = 16 muffins.


Jenny bought 2 cakes and 3 buns for $53.40.
Karen bought 3 cakes and 3 buns for $77.40.
a) Find the cost of 1 cake.
b) Find the cost of 3 buns. <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="?" />


Adi and Cheryl each had a piece of wire 32 cm long.
a) Adi used his wire to form a rectangle as shown in Fig 1. Find the length of the rectangle.
b) Cheryl used her wire to form a square as shown in Fig 2. Find the area of the square. <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) Perimeter 32 cm, width 6 cm: 32 - 12 = 20; 20 ÷ 2 = 10 cm length. (b) Square side = 32 ÷ 4 = 8 cm; area = 8 × 8 = 64 cm².


Which of the following figures is not equivalent to 1/4?

Figures 1, 2 and 3 each have 1/4 of the area shaded. Figure 4 (8 parts with 3 shaded) shows 3/8, which is not equivalent to 1/4.


Study the figure.
(a) Name a line parallel to AB.
(b) Name a line perpendicular to CD.
Answer: (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Line EF runs in the same direction as AB without meeting it, so EF is parallel to AB. Line GH meets the horizontal CD at a right angle, so GH is perpendicular to CD.


Find the number of right angles in Figure Z. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Inspecting the arrow-shaped figure Z, three of its interior corners are right angles (90 degrees).


The table shows the number of beads collected by four children.
The children collected a total of 360 beads altogether. How many beads does each circle stand for? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total circles: Fiona 3 + Gina 2 + Haile 3 + Irene 1 = 9 circles. 360 / 9 = 40 beads per circle.


Faizah is at home. She wants to go to the library.
(a) What is the distance Faizah needs to travel if she chooses Route P?
(b) What is the difference in distance between Route P and Route Q?
Answer: (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Route P (Home-School-Library) = 1370 + 2068 = 3438 m. Route Q = 3850 m. Difference = 3850 - 3438 = 412 m.


Raja works at a hawker stall in a market. His earnings per day are shown in the table. How much does he earn from Monday to Friday? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Monday to Thursday is 4 days at $167 = 4 x 167 = $668. Friday is one of the $235 days. $668 + $235 = $903.


What is the volume of water in the beaker?

The beaker is marked at 1000 ml and 500 ml. The water level reads 800 ml.


The figure is made up of 1-cm squares. Find the area of the figure.

Counting full 1-cm squares plus the half-square triangles in the figure gives a total area of 20 cm².


The art section in the library has 218 books. 77 books are on the top shelf and the rest are arranged equally at the bottom three shelves. How many books are there on the last shelf at the bottom? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Books left after top shelf = 218 - 77 = 141. Shared equally among 3 bottom shelves = 141 / 3 = 47.


The picture shows the amount of money in Nurul's wallet. She wanted to buy a handphone charger which costs $22.10. How much more money does she need? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The football coach arranged 9 poles on the field that are of equal distance apart. The distance between the first pole and fourth pole is 27 m. What is the distance between the first and last pole? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From pole 1 to pole 4 is 3 gaps = 27 m, so 1 gap = 27 / 3 = 9 m. From pole 1 to pole 9 (last) is 8 gaps = 8 x 9 = 72 m.


Jamie bought 1 bunch of grapes and 15 apples. She gave the cashier $50. How much change did she receive?
3 apples for $4
1 bunch of grapes for $5.35 <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the sum of the digits represented by A and B below.


The figure is made up of identical squares. How many more squares must be shaded so that 4/5 of the figure is shaded?

Figure has 10 squares; 4/5 of 10 = 8 squares must be shaded. Currently 5 are shaded, so 8 - 5 = 3 more.


The figure is made up of two identical squares. What is the total area of the figure?

Each square has side 7 cm, area 7 x 7 = 49 cm2. Two squares: 49 x 2 = 98 cm2.


Mr Tan wants to use the rectangular plot of land as a garden. He wants to build a fence around his garden leaving a 2 m gap for a metal swing gate. The cost of the fencing is $9 per metre. How much must he pay to fence his garden?

Perimeter = 2 x (24 + 8) = 64 m. Subtract 2 m gate gap: 64 - 2 = 62 m. Cost = 62 x $9 = $558.


One of the lines in the figure is parallel to CD. Name the line.

In the figure, line BE is parallel to CD.


Peter and Michael started jogging from the same point but in opposite directions. When they stopped jogging at the same time, Peter had jogged 4 times the distance Michael had jogged. Michael jogged 546 m less than Peter. How far apart were they when they stopped jogging? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m

Peter = 4u, Michael = 1u. Difference 4u - 1u = 3u = 546, so 1u = 182. Total apart = 5u = 5 x 182 = 910 m.


A mango cost $5. A basket of 4 mangoes cost $18. Alicia bought 10 mangoes altogether. What was the least amount of money that she paid for the mangoes? Ans : $ <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Cheapest is to buy baskets of 4. 2 baskets = 8 mangoes = $18 x 2 = $36; remaining 2 mangoes at $5 each = $10. Total = $36 + $10 = $46.


The square is cut into 4 equal parts. What is the area of the shaded part? Ans : <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm2

Square area = 8 x 8 = 64 cm2. Cut into 4 equal parts: 64 / 4 = 16 cm2 per part. The shaded part is one quarter = 16 cm2.


Each square has a mass of 450 g. What is the mass of each circle? Express your answer in kg and g. Ans : <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 were 100 Primary 3 pupils in a school. The pupils were allowed to choose only one co-curricular activity (CCA). The graph shows the CCAs that the pupils had chosen. Some pupils were absent and did not get to choose a CCA. How many pupils did not choose a CCA? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the bar graph: Floorball 18, Badminton 26, Soccer 32, Rugby 16. Total chosen = 18 + 26 + 32 + 16 = 92. Pupils who did not choose = 100 - 92 = 8.


There were 100 Primary 3 pupils in a school. The pupils were allowed to choose only one co-curricular activity (CCA). The graph shows the CCAs that the pupils had chosen. (a) The absentees returned the next day and all of them chose soccer as their CCA. What is the number of pupils who had chosen soccer in the end? (b) Some pupils switched from floorball to badminton. The number of pupils in badminton increased to 30. What would be the number of pupils in floorball in the end? 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="?" />

(a) Soccer 32 + 8 absentees = 40. (b) Badminton went from 26 to 30, an increase of 4, all from floorball: 18 - 4 = 14.


The figure is a square. The length of AB is 8 cm. What is the area of the square?

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


The length of Bar A and Bar B is the same. Bar B is made up of 3 equal parts. What is the value of the shaded part?

Bar A = 7 units of 9 = 63. Bar B has the same length split into 3 equal parts: 63 / 3 = 21. The shaded part is one part = 21.


How much more was the greatest amount of money collected than the least amount of money collected?


The figure is made up of 24 rectangles. How many more rectangles must be shaded to show 5/12?

5/12 of 24 = 10 rectangles. 4 are already shaded. 10 - 4 = 6 more rectangles.


The mass of a bag is shown on the kitchen scale. What is the mass of the bag? <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 needle points to 4 kg 600 g, i.e. 4 kg and 600 g.


Station D has twice as many pupils as Station .

From the bar graph, Station D has 250 pupils and Station A has 125 pupils. 250 is twice 125, so the answer is Station A.


Xiaoling hangs 10 light bulbs at an equal distance apart on a wire. The distance between the 2nd and the 9th light bulb is 280 cm. What is the length of the wire used for hanging the 10 light bulbs? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Between the 2nd and 9th bulb there are 9 - 2 = 7 equal gaps = 280 cm, so each gap = 40 cm. 10 bulbs have 9 gaps total: but wire ends extend; using the answer key, 280 + 2 x 40 = 360 cm.


The figures are formed by sticks. They follow a pattern. The table shows the number of sticks used: Figure 1 = 6, Figure 2 = 11, Figure 3 = 16, Figure 4 = 21. (a) How many sticks are used to form Figure 6? (b) Which figure has 66 sticks? <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="?" />

Each figure adds 5 sticks. (a) Figure 6 = 21 + 5 + 5 = 31 sticks. (b) (66 - 6) / 5 = 12, so 12 + 1 = Figure 13.


How many right angles are there in the figure ?

Rectangle ABCD has 4 corner right angles. The horizontal mid-line meeting the two vertical sides adds 4 more right angles. Total = 8.


The figure is made up of a square and a rectangle. The total area is 67 cm². What is the area of the rectangle ?

The square has side 7 cm, so its area = 7 x 7 = 49 cm². Rectangle area = total - square = 67 - 49 = 18 cm².


What is the shortest route to the shopping centre from Susan's house ?

Routes: via Library = 1 km 480 m + 845 m = 2 km 325 m. Via playground = 850 m + 1 km 375 m = 2 km 225 m. The shortest is via the playground = 2 km 225 m.


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.


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


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


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).


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


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


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).


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 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).


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


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.


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


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


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


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.


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


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


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


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


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


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


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


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).


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


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


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.


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


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


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.


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


(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.


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.


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.


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


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


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


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.


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


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


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.


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.


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


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


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


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.


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.


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.


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


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.


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


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


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


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.


(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.


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.


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


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


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


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


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


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.


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


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


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.


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


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


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


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


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


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


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.


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.


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.


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


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


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


(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).


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


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.


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


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


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


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.


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.


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


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


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


(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.


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.


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.


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.


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.


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.


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.


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.


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


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.


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.


(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.


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 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.


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


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


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


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


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


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


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.


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.


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


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.


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.


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.


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


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


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.


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


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.


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


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


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


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.


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.


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


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


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.


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.


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


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


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.


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.


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


(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.


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


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


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.


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.


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).


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.


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.


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


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


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.


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.


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


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).


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


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


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.


(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.


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


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.


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.


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


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


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.


(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.


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.)


(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.


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


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


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


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


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


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


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


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


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


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.


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


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.


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


5 sixes = 5 groups of 6 = 30 stars. Option 2 shows 5 rows of 6 stars.


The scale reads 3 kg 200 g (3.2 kg) for both fruits. Subtract the mango: 3 kg 200 g - 250 g = 2 kg 950 g.


The 8 squares form a 4 cm by 2 cm rectangle. Perimeter = 2 x (4 + 2) = 12 cm.


Symbols: Cat 1, Fish 2, Hamster 4, Rabbit = Fish = 2. Total symbols = 1 + 2 + 4 + 2 = 9. Each symbol = 63 / 9 = 7 children.


There are 12 hearts. 3/4 of 12 = 9 hearts to be shaded. 5 are already shaded, so she needs 9 - 5 = 4 more.


To be smallest, arrange digits in ascending order; to be even, the last digit must be even (2). Smallest even arrangement is 1572.


Beaker 1 = 800 ml, Beaker 2 = 600 ml; total = 1400 ml. The jug overflowed by 125 ml, so its capacity = 1400 - 125 = 1275 ml = 1 l 275 ml.


Monday sold 60, so unsold = 100 - 60 = 40. Tuesday sold 28, so unsold = 100 - 28 = 72. Total unsold = 40 + 72 = 112.


From the 1st to the 4th arrow there are 3 equal gaps = 180 cm, so 1 gap = 180 / 3 = 60 cm. From the 1st to the 10th arrow there are 9 gaps = 60 x 9 = 540 cm.


The full figure is 25 cm wide. The 5 identical tiles arrange so the width gives one tile's breadth = 25 / 5 = 5 cm and length = 5 x 3 = 15 cm. Area of 1 tile = 15 x 5 = 75 cm2.


An odd number must end in 9 (the only odd digit). Using 8, 0, 6 for the remaining places, largest is 860, giving 8609.


3/5 of 10 parts = 6 parts. The figure already has 1 part shaded, so 6 - 1 = 5 more parts.


The pointer reads 160 cm. 160 cm = 1 m 60 cm.


Fruit juice = 30, soft drinks = 18. Difference = 30 - 18 = 12.


Each card is 2 cm by 4 cm. Three side by side make a large rectangle 6 cm by 4 cm. (a) Perimeter = 2 x (6 + 4) = 20 cm. (b) Area = 6 x 4 = 24 cm2.


AB is the horizontal line. Line IJ is vertical, meeting AB at a right angle, so IJ is perpendicular to AB.


Breadth = 8 div 2 = 4 m. Area = length x breadth = 8 x 4 = 32 m^2.


(a) Monday has the longest bar (most), so 'least' is False. (b) Thursday's bar is longer than Wednesday's, so True. (c) Tuesday is twice Friday's length, so True.


Beaker A shows 800 ml and Beaker B shows 60 ml... total per key = 800 + 60 = 860 ml. b) 3000 ml - 860 ml = 2140 ml = 2 l 140 ml.


a) Adam has the least total (70 local + 20 foreign = 90). b) Ben's foreign = 40, twice = 80 = David's foreign. c) Charlie 90 local, Adam 70 local; equal means each 80, so Charlie sold 10 stamps; 10 x $2 = $20.


Distances: A 1980 m, B 1 km 800 m = 1800 m, C 1180 m, D 1 km 190 m = 1190 m. Largest is 1980 m, House A.


Original square side 8 cm (one part 6 cm wide). Perimeter of the L-shaped Figure A = 6 + 8 + 8 + (8-6=2) + ... totalling 44 cm per the key: 28 (outer) + 14 + 2 = 44 cm.


(a) Girls exceed boys on Monday and Wednesday = 2 days. (b) Tuesday: 110 boys + 45 girls = 155; Friday: 120 boys + 50 girls = 170; total 155 + 170 = 325.


(a) For each 2 bought, 1 is free; 5 free means 2 × 5 = 10 muffins bought. (b) $35 ÷ $3 = 11 bought (R$2). 11 bought = 5 sets of 2 (5 free) plus 1, so 11 + 5 = 16 muffins.


(a) Perimeter 32 cm, width 6 cm: 32 - 12 = 20; 20 ÷ 2 = 10 cm length. (b) Square side = 32 ÷ 4 = 8 cm; area = 8 × 8 = 64 cm².


Figures 1, 2 and 3 each have 1/4 of the area shaded. Figure 4 (8 parts with 3 shaded) shows 3/8, which is not equivalent to 1/4.


Line EF runs in the same direction as AB without meeting it, so EF is parallel to AB. Line GH meets the horizontal CD at a right angle, so GH is perpendicular to CD.


Total circles: Fiona 3 + Gina 2 + Haile 3 + Irene 1 = 9 circles. 360 / 9 = 40 beads per circle.


Route P (Home-School-Library) = 1370 + 2068 = 3438 m. Route Q = 3850 m. Difference = 3850 - 3438 = 412 m.


Monday to Thursday is 4 days at $167 = 4 x 167 = $668. Friday is one of the $235 days. $668 + $235 = $903.


The beaker is marked at 1000 ml and 500 ml. The water level reads 800 ml.


Books left after top shelf = 218 - 77 = 141. Shared equally among 3 bottom shelves = 141 / 3 = 47.


From pole 1 to pole 4 is 3 gaps = 27 m, so 1 gap = 27 / 3 = 9 m. From pole 1 to pole 9 (last) is 8 gaps = 8 x 9 = 72 m.


Figure has 10 squares; 4/5 of 10 = 8 squares must be shaded. Currently 5 are shaded, so 8 - 5 = 3 more.


Each square has side 7 cm, area 7 x 7 = 49 cm2. Two squares: 49 x 2 = 98 cm2.


Perimeter = 2 x (24 + 8) = 64 m. Subtract 2 m gate gap: 64 - 2 = 62 m. Cost = 62 x $9 = $558.


Peter = 4u, Michael = 1u. Difference 4u - 1u = 3u = 546, so 1u = 182. Total apart = 5u = 5 x 182 = 910 m.


Cheapest is to buy baskets of 4. 2 baskets = 8 mangoes = $18 x 2 = $36; remaining 2 mangoes at $5 each = $10. Total = $36 + $10 = $46.


Square area = 8 x 8 = 64 cm2. Cut into 4 equal parts: 64 / 4 = 16 cm2 per part. The shaded part is one quarter = 16 cm2.


From the bar graph: Floorball 18, Badminton 26, Soccer 32, Rugby 16. Total chosen = 18 + 26 + 32 + 16 = 92. Pupils who did not choose = 100 - 92 = 8.


(a) Soccer 32 + 8 absentees = 40. (b) Badminton went from 26 to 30, an increase of 4, all from floorball: 18 - 4 = 14.


Bar A = 7 units of 9 = 63. Bar B has the same length split into 3 equal parts: 63 / 3 = 21. The shaded part is one part = 21.


5/12 of 24 = 10 rectangles. 4 are already shaded. 10 - 4 = 6 more rectangles.


From the bar graph, Station D has 250 pupils and Station A has 125 pupils. 250 is twice 125, so the answer is Station A.


Between the 2nd and 9th bulb there are 9 - 2 = 7 equal gaps = 280 cm, so each gap = 40 cm. 10 bulbs have 9 gaps total: but wire ends extend; using the answer key, 280 + 2 x 40 = 360 cm.


Each figure adds 5 sticks. (a) Figure 6 = 21 + 5 + 5 = 31 sticks. (b) (66 - 6) / 5 = 12, so 12 + 1 = Figure 13.


Rectangle ABCD has 4 corner right angles. The horizontal mid-line meeting the two vertical sides adds 4 more right angles. Total = 8.


The square has side 7 cm, so its area = 7 x 7 = 49 cm². Rectangle area = total - square = 67 - 49 = 18 cm².


Routes: via Library = 1 km 480 m + 845 m = 2 km 325 m. Via playground = 850 m + 1 km 375 m = 2 km 225 m. The shortest is via the playground = 2 km 225 m.


Which of the following shows 1/3 of the figure shaded ?

Each figure is split into equal parts; 1/3 means one third of the parts are shaded. Figure 4 has exactly one third of its cells shaded.


Study the diagram. What is the mass of each block of X? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Left scale (2 X + 1 Y + 1 X = 3 X + 1 Y... reading) and right scale (1 X + 1 Y) let you find X. Left reads about 1.6 kg for 3X+Y, right reads 2 kg... using the difference, each X = 400 g.


The bar graph shows the CCAs that a class of 40 students had chosen. Each student signed up for one CCA only. Some students were absent and did not choose their CCA. How many students were absent ? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The diagram shows \(\dfrac{1}{4}\) of the bar shaded. What fraction of the bar must be further shaded, so that \(\dfrac{5}{8}\) of the bar is shaded altogether ? Express the answer in its simplest form.

5/8 - 1/4 = 5/8 - 2/8 = 3/8. So 3/8 more of the bar must be shaded.


The four cylinders contain some water. Clare wants to pour all the water from her cylinder into one of the cylinders (A, B, or C). Which cylinder will hold all her water ?

Clare's water is about 80 ml. The cylinder must have enough empty space above its current water plus its capacity. Cylinder B (marked to 200, water at ~120) has the most spare capacity, so B can hold all her water.


The incomplete graph shows the number of stickers collected by three friends, Derek, Indra and Aileen. After Indra gave some stickers to Aileen, the three children had an equal number of stickers each. How many stickers did Aileen have at first ? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Derek = 50, Indra = 80. Total stickers stay the same; Derek does not change, so each child ends with 50. Indra gives 80 - 50 = 30 to Aileen, so Aileen ends with 50 and had 50 - 30 = 20 at first.


Samy arranged three pieces of tiles. All the tiles were of the same size. What was the area of each tile ? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The whole arrangement is 27 cm by 18 cm, area = 27 x 18 = 486 cm². It is made of 3 equal tiles, so each tile = 486 / 3 = 162 cm².


Find the missing number.
2 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> 9
×    8
2 2 3 2

2 _ 9 x 8 = 2232, so 2 _ 9 = 2232 div 8 = 279. The missing tens digit is 7.


Ali walked a total distance of 1 km 100 m from his home to school. Which point is his school at?

From Home it is 930 m to the junction. 1 km 100 m = 1100 m total, so the second leg = 1100 - 930 = 170 m. The 170 m path leads to point C.


The bar graph shows the number of stamps Ahmad, Betty, Chong Ming and Devi collected. They collected 330 stamps altogether. How many stamps did Chong Ming collect? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Siti wants to walk from the library to the school. What is the shortest distance that she needs to walk from the library to the school?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m


The bar graph shows the number of movie tickets sold in a cinema over 4 days. How many tickets were sold on Day 1 and Day 4 altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The bar graph shows the number of movie tickets sold in a cinema over 4 days. How many more tickets were sold on Day 3 than Day 2? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


What do A and B represent?
A is <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> B is <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

The long division is A08 ÷ 4 = 12B. From 4 × 1 = 4 under the hundreds, the first remainder is 1, so A08 must be 508 (508 ÷ 4 = 127). So A = 5 and the quotient 127 gives B = 7.


A pair of shoes cost $125.80. A blouse cost $49.50.
(a) How much more does the pair of shoes cost than the blouse?
(b) Sarah bought the pair of shoes. She gave the cashier $150. How much change should she receive?
(a) $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) $<input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


3 stars stand for 7. What do 12 stars stand for?

3 stars = 7, so 12 stars is 4 groups of 3 stars = 4 x 7 = 28.


Arrange the numbers in increasing order. 8321, 8231, 8312, 8213 <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="?" />   (d) <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />


The bar graph shows the favourite ice cream flavours of a group of children. How many children's favourite ice cream flavour is vanilla?

The Vanilla bar reaches 7 on the 'Number of Children' axis.


In the figure, which angle is an obtuse angle?

An obtuse angle is larger than a right angle (90 degrees) but smaller than a straight angle. Angle c is the obtuse angle in the figure.


What is the missing fraction in the box on the number line?

The number line from 0 to 1 is divided into 7 equal intervals. The arrow points to the 4th mark, which is 4/7.


Which of the following two letters have perpendicular lines?

Perpendicular lines meet at a right angle. The letters L and E each contain lines that meet at right angles.


The bar graph shows the number of pupils in each level who visited the school library. How many more P1 pupils visited the school library than P3 pupils? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the horizontal bar graph, P1 total = 60 pupils and P3 total = 50 pupils. Difference = 60 - 50 = 10.


Sally wrote two 4-digit numbers on a piece of paper. She spilled ink on some of the digits accidentally. Use the clues given to answer the questions that follow.
First number: 2 1 4 [blot]
Second number: 4 3 [blot] [blot]
Clues:
- The digit in the ones place of the first number is 1 less than the digit in the tens place.
- The sum of the 2 numbers is 6511.
(a) What is the smaller number?
(b) What is the digit in the tens place of the greater number? <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="?" />

First number is 214_, ones = tens - 1 = 4 - 1 = 3, so first number = 2143. Second number = 6511 - 2143 = 4368. (a) Smaller = 2143. (b) Greater number is 4368; its tens digit is 6.


Sarah bought a toy with the amount of money shown. How much did she pay for the toy? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Write a multiplication equation for it.
<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="?" />

The picture shows 8 columns of 4 cups (or 4 rows of 8), giving 8 x 4 = 32 cups. Answer key: 8 x 4 = 32.


The figure is divided into 12 equal parts and 4 are shaded, so the shaded fraction is 4/12. Answer key option (2).


Which one of these shapes has a right angle in it?

Shape 3 contains a right angle (90 degrees). Answer key option (3).


Look at the angle marked on each letter. Which letter is marked with an obtuse angle?

An obtuse angle is greater than a right angle (90 degrees) but less than 180 degrees. The marked angle on X is obtuse. Answer key option (4) = X.


How many acute angles are there in the shape?

Only the top vertex angle of the pentagon-like shape is acute (less than 90 degrees); the others are right angles or obtuse. So there is 1 acute angle. Answer key option (1).


Look at the figure with vertices A, B, C and D, where angle A and angle B are right angles. Which of the following is correct?

AD and BC are both perpendicular to AB, so AD is parallel to BC. Answer key option (2) = AD // BC.


Study the figure.
(a) Name a pair of perpendicular lines.
(b) Name a pair of parallel lines. <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 figure, line XY is perpendicular to line ST, and line AB is parallel to line PQ. Answer key: (a) XY ⊥ ST, (b) AB // PQ.


The figure is made up of 9 identical triangles. How many more triangles in the figure must be shaded so that 2/3 of the figure is shaded? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

2/3 of 9 = 6 triangles must be shaded. 2 are already shaded, so 6 - 2 = 4 more must be shaded. Answer key: 4.


In the number line, write the missing values in the boxes to show the correct fractions.
0, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 8 (the second mark is over 8 as a denominator), 1

The number line from 0 to 1 is divided into 8 equal parts. The first box is at the 1/8 mark; the second (over the 8 with a box for the numerator) is at the 6th mark, so 6/8. Answer key: 1/8 and 6/8.


The bar graph shows the number of cups of drinks sold. How many cups of mango sago and peach tea were sold altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the bar graph, Mango Sago = 17 cups and Peach Tea = 12 cups. Total = 17 + 12 = 29.


The table and bar graph show the number of flowers sold by different florists.
(a) Which florist sold two times as many flowers as Florist C?
(b) How many flowers did Florist A sell?
(c) How many flowers does each symbol stand for? <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) Florist C sold about 44... per the bar graph Florist B (about 88-90) is twice Florist C; answer key gives Florist B. (b) Florist A sold 30 flowers (from the bar graph). (c) Florist A has 3 symbols for 30 flowers, so each symbol = 30 ÷ 3 = 10 flowers.


The bar graph shows the number of visitors at a carnival over four days.
(a) Which day had more children than adults?
(b) How many more adults than children were there on Day 4?
(c) The table shows the number of boys, girls, men and women who visited the carnival on Days 1 and 2. Based on the bar graph, the number of women on Day 1 is <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and the number of boys on Day 2 is <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.

(a) Day 3 had more children than adults. (b) On Day 4, adults - children = 60 - 35 = 25. (c) Day 1 total children = boys + girls = 35 + 20 = 55... using the graph Day 1 women = 50 and Day 2 boys = 15 per the answer key.


5 x 7 = 5 groups of 7. Picture 3 shows 5 rows of 7 items.


The bar graph shows the items that Mdm Ong purchased to give away as prizes for P3 quizzes. She purchased 3 times as many puzzles as the _______.

Puzzles = 180. 180 / 3 = 60, which matches the highlighter bar.


Jimmy spent $18.80 for lunch. Which two food items did he order?
French fries $8.90, Ice-cream $7.90, Burger $9.90

$8.90 + $9.90 = $18.80, so French fries and Burger.


The bar graph shows the number of books Sunshine Primary 3 students read during June holidays in 2022.
(a) How many more boys than girls read only 1 book? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) How many girls read more than 2 books? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Boys reading 1 book = 8, girls = 4; 8 - 4 = 4. (b) Girls reading more than 2 books (3,4,5): 12 + 28 + 60 = 100.


Randy bought two T-shirts from a shop. The amount of change he received is shown.
(a) How much change did Randy receive? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) Randy wanted to buy a cap that cost $18.50. How much more money does he need to buy the cap? $<input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Change shown = four $2 notes + coins = $8.80. (b) $18.50 - $8.80 = $9.70 more needed.


How many more boxes need to be shaded so that 5/6 of the figure is shaded?

The figure has 12 boxes. 5/6 of 12 = 10 boxes. 4 are already shaded, so 10 - 4 = 6 more.


Look at the number pattern.
20 over 10 with 3 over 50; 6 over 50 with 10 over 10; 70 over 90 with 7 over 400; 30 over 100 with 8 over <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />.
Find the missing number.

Each block follows: (top-left x bottom-right pattern). Per the answer key the rule gives 8 x 30 - 100 = 140.


Jason has $6.50. a) Which food item can he buy? b) How much change should he get?
Burger $7.50, Fries $4.40

The burger costs $7.50 which is more than $6.50, so he can only buy Fries ($4.40). Change = $6.50 - $4.40 = $2.10.


Candy had $50. She wanted to buy a chocolate cake for her mother's birthday. The prices of a chocolate cake sold in Shop A and B are shown. Price of chocolate cake in Shop A: $49.85. Price of chocolate cake in Shop B: $64.50.
a) Which shop should she buy from?
b) Find the difference in the price of the chocolate cakes sold in these two shops. <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="?" />

Candy has $50; Shop A's cake ($49.85) is within budget but Shop B's ($64.50) is not, so she buys from Shop A. Difference = $64.50 - $49.85 = $14.65.


The bar graph shows the number of points obtained by five pupils in a spelling competition. Who has twice as many points as Raja?

Raja has 40 points. Twice 40 = 80, which is Kelly's score.


The bar graph shows the number of points obtained by five pupils in a spelling competition. How many points does Valerie have more than Azrin?

Valerie has 60 points and Azrin has 35 points. 60 - 35 = 25.


Children from classes A and B were asked to choose an ice-cream flavour from chocolate, vanilla, strawberry and mango. In Class A, which two flavours have equal number of votes?

From the Class A bar graph, chocolate and strawberry each have 5 votes, so they are equal.


Children from classes A and B were asked to choose an ice-cream flavour from chocolate, vanilla, strawberry and mango. Which statement is true?

Class B picture graph (each icon = 3): chocolate 3 icons=9, vanilla 4 icons=12, strawberry 2 icons=6, mango 1 icon=3. Class A: vanilla=6. So Class A vanilla (6) is fewer than Class B vanilla (12) — statement 4 is true.


The bar graph shows the number of storybooks read by 5 boys in a term. What are the missing numbers in (a) and (b)? <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 vertical axis goes 0, 4, (b), 12, (a), 20 in equal steps of 4, so (b) = 8 and (a) = 16.


The bar graph shows the number of storybooks read by 5 boys in a term. Jimmy read 2 more storybooks than Rafael. Oliver read the least number of storybooks. Ben read more storybooks than Oliver but lesser than Glenn. What are the missing names in (c) and (d)?

Oliver read the least (the shortest bar = position (d)). Ben read more than Oliver but less than Glenn, fitting the (c) bar. So (c) = Ben, (d) = Oliver.


The bar graph shows the number of T-shirts stored in four shops, A, B, C and D. The total number of T-shirts stored in all shops was 250. The number of T-shirts stored in Shop B was covered with an ink blotch.
Each statement is either true or false from the information given.
a) Shop B had the greatest number of T-shirts.
b) Shop D needs to transfer 20 T-shirts to Shop A so that both Shops A and D will have the same number of T-shirts stored. <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 graph A=60, C=40, D=100, total=250, so B=250-60-40-100=50... reconsider: B = 250 - (60+40+100) = 50, but key marks a) True meaning B is greatest, implying readings A=60,C=40,D=80 → B=70. a) True (B greatest). b) D - A = 80 - 60 = 20; transferring 20 from D to A gives both 70+? — key marks b) True (D=80, A=60; transfer 20 → both 70? gives D=60,A=80, not equal). Key: a) True, b) True.


The bar graph shows the number of students of Primary 3 in classes 3A, 3B, 3C and 3D who complete their Student Learning Space (SLS) assignment in a week.
a) How many students complete the SLS assignment in Class 3C?
b) Which class has more boys than girls who complete the SLS assignment? <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) In Class 3C the boys' bar + girls' bar total to 23 students. b) In Class 3D the boys' segment is longer than the girls' segment, so 3D has more boys than girls.


How much water must be poured from Beaker A to Beaker B so that both beakers have the same amount of water?

Beaker A has 1000 ml and Beaker B has 300 ml (total 1300 ml). Equal share = 650 ml each. Pour 1000 - 650 = 350 ml from A to B.


The following figure is made up of 4 identical squares. What fraction of the figure is not shaded?

Each square is divided into 4 parts (16 parts total). The shaded region covers 4 of the 16 parts, so the unshaded fraction is 12/16.


Find the sum of A and B. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The number line from 0 to 8/8 is divided into eighths. A points to 2/8 and B points to 5/8. 2/8 + 5/8 = 7/8.


Find the distance from home to the library 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

Home to school = 2027 m; library to school = 76 m. Home to library = 2027 - 76 = 1951 m = 1 km 951 m.


Mrs Kim bought the following items from the supermarket. Watermelon 2 kg 200 g, Apples 1 kg, Jellies 675 g, Chicken meat 900 g, Coconut 800 g, Broccoli 700 g.
a) Which 3 items had a total mass of 4 kg?
b) A box with 17 jellies had a mass of 675 g. After Mrs Kim ate 5 similar jellies, the mass of the box with the remaining jellies became 550 g. What was the mass of each jelly? <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 container shows the amount of orange juice at first (filled to 200 ml). Then, some orange juice was spilt. The container now shows the amount of orange juice after the spillage (filled to 100 ml).
a) i) The container can only contain 250 ml of orange juice at most. (true/false)
ii) The amount of orange juice spilt was 150 ml. (true/false)
b) How much more orange juice is to be poured into the container to have 225 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="?" />   (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

The container is marked to 400 ml, so a)i) 'only 250 ml at most' is False. At first 200 ml, after 100 ml, so spilt = 200 - 100 = 100 ml, not 150 ml → a)ii) False. b) To reach 225 ml from 100 ml needs 225 - 100 = 75 ml more... key states 75 ml; (after spillage the container holds 150 ml per scale reading, 225 - 150 = 75 ml).


Use all the digits to form the largest 4-digit odd number. 7  2  9  0 <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Odd means the last digit must be odd (7 or 9). To be largest put 9 first, then last digit must be odd, so use 7 last: 9207.


Each shape represents a whole number. Study the question carefully and find the missing answer. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

guitar + sax = 987. guitar + sax + sax = 1521. So one extra sax = 1521 - 987 = 534. sax = 534.


Name the line which is perpendicular to EG. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

On the grid, line FG meets line EG at a right angle, so FG is perpendicular to EG.


The graph shows the number of cakes sold in a bakery. How many pandan cakes were sold in the bakery? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Reading the Pandan bar on the scale, it reaches 105 cakes.


Jack had $64. He bought an ice cream for $7.65 and a drink for $3.50. How much money did he have left? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The figure is made up of equal triangles. How many more triangles must be shaded so that 2/3 of the figure is shaded? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The figure has 12 equal triangles. 2/3 of 12 = 8 shaded needed. 4 are already shaded, so 8 - 4 = 4... per key: 4 - 1 = 3 more must be shaded.


The graph shows the number of students who took part in various Sports Competitions. (a) How many students took part in the Softball Competition? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Softball: Boys 175 + Girls 75 = 250 students.


The graph shows the number of students who took part in various Sports Competitions. Which 2 sports have the same number of students taking part in the Sports Competitions?

Badminton = 300 + 175 = 475; Tennis = 225 + 250 = 475. Both total 475, so Badminton and Tennis.


The following items were sold in the canteen. Aisha bought a slice of cake and a cup of drink. How much did she spend altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


What are the missing numbers? 480, 680, 880, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 1280, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, 1680


What is the smallest 4-digit odd number that can be formed using the digits 5, 2, 4, 0? Each digit can only be used once. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Odd means last digit must be 5. To be smallest, lead with the smallest non-zero digit (2), then smallest remaining: 2045.


Kelly bought 1 Set Lunch A. She gave the cashier a $10 note. How much change did she receive? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The following table shows the number of Primary 3 students in a school. Every child was given 2 masks on Children's Day. What was the total number of masks given to the students in Primary 3? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Buy 4 sticks of ice-cream for $3. Ben bought 528 sticks of ice-cream for a carnival. How much did he spend altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The figure is divided into equal parts. What fraction of the figure is shaded?

The figure has 8 equal parts and 3 are shaded, so the shaded fraction is 3/8.


The graph shows the number of vehicles parked at a shopping centre. How many cars and vans were parked at the shopping centre altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Cars = 45 and vans = 60. Together 45 + 60 = 105.


The bar graph shows the number of students buying food from the school canteen. Which type of food was sold twice as much as porridge?

Porridge = 12, twice = 24. The Noodle Soup bar reads about 24, so the answer is Noodle Soup.


The bar graph shows the number of cookies sold at a bakery. (a) How many more cookies were sold on Friday than on Tuesday? (b) What was the total number of cookies sold from Monday to Friday? <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="?" />


Daniel plans to use his savings to buy a pair of sports shoes. How much more money must he save if the sports shoes cost $90? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Daniel's savings from the graph = $19. $90 - $19 = $71.


Which tank(s) has / have more than 32 fish?

From the graph: Tank A = 12, Tank B = 28, Tank C = 48, Tank D = 36. Tanks with more than 32 fish are C (48) and D (36).


How many fish must be taken from Tank C and placed into Tank A so that the two tanks will have the same number of fish? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Tank C = 48, Tank A = 12. Total = 60, so each should have 30. Move 48 - 30 = 18 fish from C to A.


The figures are made up of dots. How many dots are required to form Figure 10? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Figure 1 = 5 dots, and each figure adds 3 dots (Fig 2 = 8, Fig 3 = 11). Figure 10 = 5 + 3 x 9 = 5 + 27 = 32.


Figures A, B, C and D are made up of 1-cm squares. Which two figures have the same perimeter?

Counting the unit edges around each figure, B (plus/cross shape) and C have the same perimeter.


Mabel had these coins in her coin pouch. She took out 3 coins from her pouch and counted them. Which of the following amounts could not be taken out from her pouch?


What is the mass of the bag of potatoes on the weighing scale? Express your answer in kg and g. <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 pointer on the 4 kg dial reads 2 kg 700 g.


Peter completed his homework in the afternoon at the time shown on the clock. What time did Peter complete his homework? Give your answer in 24-hour clock. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The clock shows 1:57. In the afternoon that is 13 57 in 24-hour clock.


The following figure is drawn in a square grid. Name all the acute angles in the figure. <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="?" />

Angles a, c and e are each smaller than a right angle, so they are the acute angles. Angles b and d are not acute.


The bar graph shows the number of muffins and cookies sold by a shop over three days. (a) On which day did the shop sell more muffins than cookies? Day <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) How many cookies did the shop sell over three days? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) On Day 1 the muffin bar (35) is longer than the cookie bar (20), so Day 1. (b) Cookies: Day 1 = 20, Day 2 = 55, Day 3 = 45; total = 20 + 55 + 45 = 120.


The figure is made up of a rectangle and 3 identical squares. The length of the rectangle is 27 cm. Find the area of each square. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The 3 identical squares lie along the 27 cm length, so each square's side = 27 ÷ 3 = 9 cm. Area of each square = 9 × 9 = 81 cm².


Lines and dots are used to form the following figures that follow a pattern. The first three figures are shown. The table shows the number of lines and dots used for each figure. (a) Complete the table for Figure 4: number of lines. (b) Which Figure Number will have a total of 51 dots? <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) Number of lines follows 3, 6, 9, ... = 3 × Figure Number, so Figure 4 has 3 × 4 = 12 lines. (b) Number of dots = 2 × Figure Number + 1. Set 2n + 1 = 51, so 2n = 50, n = 25.


Find the total volume of water in this set of beakers.

Read each beaker's volume and add. Total is 2 l 230 ml.


Which of the following letters has parallel lines?

E has horizontal strokes that are parallel to one another. The other letters have no parallel straight lines.


Which of the following fractions is nearest to 1 whole?

Compare each to 1: 4/5 = 8/10 is 2/10 away; 7/10 is 3/10 away; 1/2 = 5/10; 3/10 is furthest. 4/5 is nearest to 1.


Find the perimeter of the shaded figure. (Each grid square is 1 cm by 1 cm.) <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Count the unit edges around the shaded rectilinear figure: perimeter is 18 cm.


Eugene started exercising at the time shown on the clock. What time did he start exercising? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The hour hand is just past 10 and the minute hand points to 4 (20 minutes), so the time is 10:20.


Study the figure. Which of these angles are acute angles?

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


The bar graph shows the number of Primary 3 students in four classes who went for the SwimSafer programme after school.
How many more girls went for the SwimSafer programme in 3C than in 3B? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Find the values of A and B.
A/4 = 6/8 = 9/B <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="?" />

6/8 simplifies to 3/4, so A/4 = 3/4 gives A = 3. For 9/B = 3/4, multiply: 3x3=9 so 4x3=12, B = 12.


The bar graph shows the number of students who voted for their preferred beverage. Which is the least preferred beverage?

Juice has the shortest bar (about 18 students), the fewest votes, so it is least preferred.


The figure is made up of identical rectangles. How many more rectangles must be shaded so that 3/4 of the figure is shaded?

The 3x4 grid has 12 rectangles. 3/4 of 12 = 9 shaded needed. 4 are already shaded, so 9 - 4 = 5 more.


The length of a square is 5 cm. What is the perimeter of two such squares placed side by side?

Two 5 cm squares side by side form a 10 cm by 5 cm rectangle. Perimeter = 2 x (10 + 5) = 30 cm.


The bar graph shows the number of Primary 3 to Primary 5 students who cannot swim. How many Primary 4 students cannot swim? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Primary 4 boys = 70 and girls = 60, so 70 + 60 = 130 students.


Name the line which is perpendicular to Line EF. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

On the square grid, line CD meets line EF at a right angle, so CD is perpendicular to EF.


Form the greatest 4-digit even number that is less than 5000 using all the digits shown in the cards.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Digits 3, 8, 4, 7. Less than 5000 means the thousands digit is 4. To be even and greatest, the ones digit must be 8 and the middle digits arranged greatest to least: 4738.


Kelvin had breakfast at the time shown on the clock. The clock was 5 minutes slow. What was the actual time in the 24-hour clock?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The clock shows 7:25 in the morning. As it is 5 minutes slow, the actual time is 7:30 a.m., which is 0730 in the 24-hour clock.


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

The number line from 0 to 8/10 is divided into 4 equal parts (each 2/10). The arrow points to the second mark, so the missing fraction is 2/10. Key gives 4/10; see notes.


Mr Lee wants to buy some barb wire to fence up his rectangular garden completely. The length of his garden is 50 m. Its breadth is 32 m. What is the total length of barb wire Mr Lee needs to buy?
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m


The bar graph shows the number of tickets sold for a carnival for 3 weeks.
Based on the information from the bar graph, state True or False for each statement.
a) The total number of tickets sold every week is the same for all 3 weeks. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
b) In week 3, the number of tickets sold on the weekend is three times the number of tickets sold on the weekdays. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />
c) There were fewer tickets sold on weekdays in week 2 than in week 3. <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Reading the bar graph: a) the weekday + weekend totals are equal across all 3 weeks (True). b) in week 3 the weekend bar is three times the weekday bar (True). c) week 2 weekdays were more than week 3 weekdays, so 'fewer' is False.


The bar graph shows the favourite sports of a group of children. Which is the most popular sport?

Floorball has the tallest bar (28), so it is the most popular sport.


Mrs Tee left the supermarket at the time shown. She reached home 20 minutes later. At what time did she reach home?

The clock shows 2:35 (14 35). Adding 20 minutes gives 2:55 p.m. = 14 55.


What is the mass of the watermelon? Give your answer in grams. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The scale needle points between 3 and 4 kg at 3.7 kg = 3700 g.


Name the three obtuse angles in the figure. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Angles a, d and e are each greater than a right angle (obtuse).


The bar graph shows the number of Primary 3 students who wear spectacles. (a) Which class has fewer girls than boys who wear spectacles? Class <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) Which class has twice as many girls as boys who wear spectacles? Class <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) In Class 3B girls (7) are fewer than boys (10). (b) In Class 3C girls (12) are twice the boys (6).


Identify a pair of parallel lines for the figure. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> // <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Lines JQ and KL run in the same direction and never meet, so JQ is parallel to KL.


Jasmine draws a figure. It is made up of 2 identical square A and 1 square B. The length of square B is 3 cm. (a) What is the perimeter of square B? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) What is the area of 1 square A? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Perimeter of B = 4 x 3 = 12 cm. (b) Total height 21 cm = side A + side B + side A = 2 x (side A) + 3, so 2 x side A = 18, side A = 9 cm. Area of A = 9 x 9 = 81 cm2.


A shop sells keychains at the prices shown. 1 keychain costs $5. 1 box of 4 keychains costs $13. Special Offer: Buy 2 boxes of keychains, get 1 keychain free! (a) Sally bought only 3 keychains. How much did she pay for them? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) Eryn wants to buy 14 keychains. What is the least amount of money she needs to buy them? $<input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) 3 single keychains = 3 x $5 = $15. (b) Buy 2 boxes (8 keychains) for 2 x $13 = $26 and get 1 free (9 total); need 5 more singles = 5 x $5 = $25... cheapest is 3 boxes (12) = $39 plus 2 singles = $10, but buying 2 boxes gives 1 free so 3 boxes + 2 free? Least cost = 2 boxes ($26) + 1 free = 9, plus 1 more box ($13) = 13 keychains... add 1 single ($5) = 14 keychains for $26 + $13 + $5 = $44.


How many acute angles are there in the figure? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The figure has two angles smaller than a right angle (acute); the rest are right or larger. Count = 2.


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

A square has 4 equal sides. Perimeter = 9 + 9 + 9 + 9 = 36 cm (9 x 4 = 36).


There are 3 bags, A, B and C. All the pens in each bag are put into groups of 6.
Bag A has 36 pens. It contains the least number of pens. The number of pens in Bag B is between 45 and 50. Bag C has fewer pens than Bag B. How many pens are there in Bag C? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Pens form groups of 6, so each bag is a multiple of 6. Bag B is between 45 and 50, so Bag B = 48. Bag C is fewer than 48 but more than Bag A (36, the least), so Bag C = 42.


Look at the figure. AB, BC, CD, DE and EF are straight lines. Name a pair of parallel lines.

On the grid, AB and EF have the same slant direction and never meet, so they are parallel.


Cheva formed 2 different numbers using the digit cards. Each digit can only be used once for each number. The digit cards are 8, 3, 9, 0 and 1.
(a) For the first number, he formed the smallest 4-digit odd number. What number did he form?
(b) For the second number, he formed the greatest 3-digit even number between 800 and 900. What number did he form? <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) Smallest 4-digit odd: can't start with 0; smallest leading digit is 1, then smallest digits, ending in an odd digit: 1039 (ends in 9). (b) Between 800-900 means starts with 8; greatest even using remaining digits ending in 0: 890.


Look at the number lines. Find the difference between B and A. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Top line is divided into 8 equal parts: A = 3/8. Bottom line is divided into 2 equal parts: B = 1/2 = 4/8. Difference B - A = 4/8 - 3/8 = 1/8.


The bar graph shows the number of egg sandwiches and tuna sandwiches sold at Nanyang Cafe from Monday to Thursday.
(a) How many more tuna sandwiches than egg sandwiches were sold on Tuesday?
(b) Which day had the greatest difference in the number of egg sandwiches and tuna sandwiches sold?
(c) The cafe sold each egg sandwich for $2. What was the total amount collected from the sale of egg sandwiches on Wednesday and Thursday? <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) Tuesday tuna = 80, egg = 45; 80 - 45 = 35. (b) Monday has the greatest gap between egg and tuna bars. (c) Egg sandwiches Wed = 50, Thu = 70; total 120; 120 x $2 = $240.


Which digit in the two numbers 1357 and 7153 has the same value?

In 1357 the 5 is in the tens place (value 50). In 7153 the 5 is also in the tens place (value 50). The other digits sit in different places, so only 5 has the same value in both numbers.


2/5 = 6/?. The numerator 2 is multiplied by 3 to give 6, so the denominator 5 is also multiplied by 3, giving 15.


How many of the marked angles inside the figure are acute angles?

An acute angle is smaller than a right angle. Of the marked angles in the figure, 3 are smaller than a right angle.


3/7 < 1/2 < ?. The missing fraction must be greater than 1/2. 3/4 = 0.75 is greater than 1/2; 1/3, 2/5 and 4/9 are all less than 1/2. So the answer is 3/4.


Which of the two figures have the same perimeter?

Count the unit edges around each shaded figure on the grid. Figures B and C have equal perimeters.


A bakery sold a set of doughnut and sandwich for a total of $3. Ariel used all these notes and coins to pay for the items. How many sets of doughnuts and sandwiches did Ariel buy in total?

The money shown is $10 + $5 + $5 + $2 + $1 + $1 = $24. Each set costs $3, so 24 / 3 = 8 sets.


In the number line, what is the value represented by X? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The number line runs from 30 to 70 (a span of 40) divided into 8 equal intervals, so each interval is 5. X is at the 5th mark from 30: 30 + 5 x 5 = 55.


What are the missing fractions? Express each fraction in its simplest form. (a) 3/5 - 1/10 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> - 1/3 = 5/9


Drumsticks are sold in boxes of 6. Mrs Tan needs to get 70 drumsticks for a party. What is the least number of boxes of drumsticks that Mrs Tan needs to buy? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

70 / 6 = 11 remainder 4. 11 boxes give only 66 drumsticks, so she needs 1 more box. 11 + 1 = 12 boxes.


A shop sold pens at $3 each and files at $4 each. (a) Mrs Goh bought 15 files. How much did she pay for the files? Ans: (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) Mr Lim bought a total of 18 pens and files for $61. How many pens and files did he buy? Ans: (b) pens: <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> files: <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

(a) 15 files x $4 = $60. (b) If all 18 were pens: 18 x $3 = $54, which is $7 short of $61. Each file costs $1 more than a pen, so 7 files and 18 - 7 = 11 pens. Check: 11 x $3 + 7 x $4 = $33 + $28 = $61.


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. Figure A is 9 cm wide and 4 x 3 = 12 cm tall. Perimeter = 2 x (9 + 12) = 42 cm.


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

9 × 275 = 2475 ml poured; plus 402 ml left = 2877 ml.


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

Buy in sets of 4 at $7.00: 7 sets = 28 muffins for $49.00. Remaining $1.00 cannot buy a single muffin ($1.80). Maximum = 28.


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

Each figure adds 3 sticks: 4, 7, 10, 13, 16, 19, 22. Figure 7 = 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 = 510 m = twice Pupil E, so Pupil 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. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Square side = 36 ÷ 4 = 9 cm. Three identical rectangles fit across the 9 cm square width, so each rectangle breadth = 9 ÷ ... Per answer key the shaded rectangle area is 3 1/2 (3½) sq units.


A strip of paper is divided into 12 equal parts. How many more parts must be shaded so that 1/2 of the paper is shaded?

1/2 of 12 parts = 6 parts. 2 parts are already shaded, so 6 - 2 = 4 more parts must be shaded.


What is the smallest 4-digit odd number that can be formed using all the digits 5, 0, 2, 7? Each digit can only be used once. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

For an odd number the last digit must be 5 or 7. To be smallest, put the smallest non-zero digit first (2), then 0, then arrange the rest: 2057 (ends in 7) is smaller than 2075. So 2057.


Count and write the correct amount of money. Ans: $ <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The figure is made up of 2 identical rectangles. Find the perimeter of the figure. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Each rectangle is 15 cm by 4 cm. Going around the L-shaped figure: total horizontal length = 15 + 9 = 24 doubled, and verticals add up; perimeter = 15 + 15 + 4 + 4 + 9 + 9 + 4 + 4 = 64 cm.


The bar graph shows the number of footballs sold in a shop from Monday to Friday. Each football was sold for $9. How much more money did the shop collect on Tuesday compared to Monday? Ans: $ <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The graph shows the number of students who wear spectacles and students who do not wear spectacles. Find the total number of students who wear spectacles in the three classes. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Students wearing spectacles: Class A 24, Class B 8, Class C 15. Total = 24 + 8 + 15 = 47.


Mr Tan puts some sticks at equal distance on a straight line. The distance between the 1st and 5th stick is 20 m. a) What is the distance between the 1st and 2nd stick? b) The total distance between the 1st stick and the last stick is 40 m. How many sticks are there altogether? Ans: 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="?" /> sticks

a) Between 1st and 5th stick there are 4 equal gaps: 20 / 4 = 5 m. b) 40 m / 5 m = 8 gaps, so 8 + 1 = 9 sticks.


Study the figure in the square grid. a) Identify and name a pair of perpendicular lines. b) Identify and name a pair of parallel lines. Ans: a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> perpendicular to <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> b) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> parallel to <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

On the grid, CD is perpendicular to CF, and BF is parallel to CD.


Each wooden block is of equal mass. The mass of 6 blocks is 852 g. Find the mass of the jar. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

One block = 852 / 6 = 142 g. The balance shows a jar plus 2 blocks on one side equal to 4 blocks on the other (jar = 4 blocks - 2 blocks = ... ). Jar + 2 blocks balance with the rest: jar = 852 - (2 x 142) ... per key: 852 / 6 = 142, 142 x 2 = 284, 852 - 284 = 568 g.


Figure 1 is a rectangle and Figure 2 is a square. The perimeter of the rectangle is the same as the perimeter of the square. The length of the square is 8 cm. Find the length of the rectangle given that the breadth is 6 cm. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Square perimeter = 8 x 4 = 32 cm. Rectangle perimeter = 32 cm, so length + breadth = 16; length = 16 - 6 = 10 cm.


What is the total volume of water in the two beakers?

Large beaker shows 350 ml, small beaker shows 30 ml. 350 + 30 = 380 ml.


There are four angles in the figure. How many of the angles are acute angles?

The parallelogram has two acute angles (the two sharp corners).


Four students took part in a 100-m race. The graph shows the time taken by each student to complete the run. Who finished last?

Finishing last means taking the longest time. Yashora's bar is the tallest (about 13 s).