James ran 3 complete rounds around a 400 m running track. He walked for another 250 m. What was the total distance he ran and walked? Give your answer in kilometres and metres. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> km <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m


There are six angles in the figure. How many of the angles are greater than a right angle? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The arrow/chevron figure has 3 angles larger than a right angle (the obtuse/reflex-side corners).


The bar graph shows the number of fruits sold at a fruit stall. What is the total number of fruits sold? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Apples 10 + Bananas 8 + Oranges 3 + Pears 5 = 26.


The figure shows the amount of water in a measuring cup. What is the total amount of water in 6 such measuring cups? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml

The cup shows 260 ml. 260 x 6 = 1560 ml.


The bar graph shows the number of books read by four pupils in a month. Mira read 3 fewer books than .

Mira read 12 books. 3 more than 12 is 15, which is Kumar. (Part (a): Nora read the most with 18.)


Mindy gave away some food items to some families. Each family received 5 cans of mushrooms and 7 packets of seaweed. Mindy gave away 35 cans of mushrooms altogether. How many packets of seaweed did she give away altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Number of families = 35 / 5 = 7. Seaweed = 7 x 7 = 49 packets.


Mrs Afiya cut a long string into 4 equal parts. She then used each part to form a rectangular frame. The length of the frame was 29 cm and its breadth was 17 cm.
(a) What was the perimeter of each rectangular frame? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm
(b) How long was the string? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm


The figures are made up of identical squares. The figures follow a pattern.
Figure: 1, 2, 3, ..., 6 ; Number of shaded squares: 8, 12, 16, ..., ?
(a) How many shaded squares are there in Figure 6? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) A figure has a total of 52 shaded squares. What is the figure number? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Pattern adds 4 each figure: shaded = 4 x figure + 4. (a) Figure 6 = 4 x 6 + 4 = 28. (b) 52 = 4 x n + 4, so n = 12.


What digit does the smiley face stand for?
4 3 [smiley] 1
- 1 2 3 4
= 3 0 9 7


The bar graph shows the number of points scored by four classes in a Math competition.
Which class scored the highest points in total?


The octagon sits on a 6 by 6 grid (36 cm²) with four corner half-squares cut off (4 x 2 = 8 cm²). 36 - 8 = 28 cm².


The numbers in each row and column add up to 370. Fill in the missing numbers in the boxes. <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="?" />


Mdm Lim drove from her house to her office. After that, she drove to the supermarket to buy groceries before driving home. Mdm Lim drove a total distance of 5 km 375 m. What was the distance between the supermarket and her house?
House to Office: 2 km 225 m. Office to Supermarket: 1 km 750 m. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total 5375 m - 2225 m = 3150 m for the remaining two legs. 3150 m - 1750 m = 1400 m = 1 km 400 m.


Josh has the amount of money as shown. How much money does he have?
Ans: $ <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Which of the following shows the time in the clock?

Clock reads 7:42. That is 18 minutes to 8.


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


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

Friday = 6 symbols x 4 = 24; Thursday = 2 symbols x 4 = 8. Difference = 24 - 8 = 16.


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

a) At least 4 hours = 4 hours (16) + more than 4 hours (8) = 24. b) More than 1 but less than 4 = 2 hours (34) + 3 hours (22) = 56.


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


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


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

Each chair is 30 cm wide; 57 chairs = 57 x 30 = 1710 cm. Gaps between chairs = 57 - 1 = 56, each 1 m = 100 cm, so 56 x 100 = 5600 cm. Total = 1710 + 5600 = 7310 cm.


Sasha spent $250 at ABC departmental store. She bought a microwave oven, some mugs and some plates. She bought fewer plates than mugs. How many plates did she buy?

Microwave oven costs $150, so $250 - $150 = $100 left for mugs ($8 each) and plates ($10 each). 10 mugs ($80) + 2 plates ($20) = $100, and plates (2) are fewer than mugs (10), so she bought 2 plates.


Look at the number pattern. The numbers in each square are related in a similar way. Find the missing number. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Rule: bottom-right = (top-left × top-right) − bottom-left. For 5,8 / 5,? : 5 × 8 = 40, 40 − 5 = 35.


The bar graph shows the number of children who went to an indoor playground from Monday to Friday. (a) On which day had the least number of children going to the indoor playground? (b) On which day was there 150 fewer children than on Tuesday? (c) On which day was there twice the number of children as on Monday? (d) Each child ticket cost $8. How much money did the indoor playground collect on 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="?" />   (d) <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />


Which one of the figures has the same area as Figure A?

Figure A is an octagon-in-square pattern whose shaded area equals a fixed number of unit squares (corner triangles each combine to half-squares). Counting whole + paired half squares gives the area; only option (1) matches that count.


Count the fully shaded unit squares and combine the shaded triangular half-squares into whole squares. The shaded arrow/cross shape totals 11 cm².


Peter cut a square piece of paper of side 6 cm into two equal rectangles. What is the area of each rectangle?

Area of the square = 6 × 6 = 36 cm². Cut into two equal rectangles, so each = 36 ÷ 2 = 18 cm².


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

The figure is a step shape made of two identical rectangles. Using the equal-rectangle property with the marked 14 cm, 2 cm and 8 cm, work out the length of every edge and trace once around the outline; the boundary edges add up to 52 cm.


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

The 5-pointed star has 10 equal sides, each 4 cm. Perimeter = 10 × 4 = 40 cm.


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

Perimeter of rectangle = 7 + 7 + 11 + 11 = 36 cm. The square has the same perimeter, so each side = 36 ÷ 4 = 9 cm.


The figure shows a square and a rectangle. The rectangle is made up of 2 identical squares. If the rectangle has a perimeter of 60 cm, find the area of the square. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The rectangle is 2 identical squares side by side, so its perimeter = 6 square-sides = 60 cm, giving each side = 60 ÷ 6 = 10 cm. Area of one square = 10 × 10 = 100 cm².


Ian's living room is 5 m by 4 m. He covered the living room with a carpet that is 3 m by 3 m. What is the area of the room that is not covered by the carpet? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Room area = 5 × 4 = 20 m². Carpet area = 3 × 3 = 9 m². Uncovered = 20 − 9 = 11 m².


Mavis cut out 3 equal rectangles from a piece of square paper. The paper has a perimeter of 48 cm. What is the perimeter of each rectangle? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Square perimeter 48 cm → side = 48 ÷ 4 = 12 cm. Cutting into 3 equal vertical strips makes rectangles 12 cm by 4 cm (12 ÷ 3). Perimeter of each = 12 + 12 + 4 + 4 = 32 cm.


James is having his dinner at night. Express the time shown in 24-hour clock.

The clock shows 5 minutes past 7. Since it is night-time (dinner), it is 7.05 p.m., which in 24-hour clock is 19 05.


The clock shows the time Peter reached home from the park. He left the park at 6.20 a.m. How long did he take to reach home from the park?

The clock shows 7.20. From 6.20 a.m. to 7.20 a.m. is 1 hour = 60 minutes.


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

Line EF runs parallel to AB; line GH runs perpendicular to CD.


What is the mass of the watermelon? Give your answer in kg and g. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g


Gary pours a can of green tea into the beaker. What is the volume of 5 such cans of green tea? Give your answer in millilitres. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml

One can fills the beaker to 250 ml, so 5 cans = 250 × 5 = 1250 ml.


3 identical cups can fill a bottle. 2 such bottles can fill a jug completely. The capacity of the jug is 840 ml. What is the capacity of one cup in millilitres? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ml


Sam cycled to Baoli's house and then to Min Rui's house. How far did he cycle? Give your answer in kilometres and metres. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> km <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m

Sam to Baoli's house = 1 km 800 m, Baoli's to Min Rui's = 2 km 50 m; total = 3 km 850 m (1800 + 2050 = 3850 m).


Min Rui jogged to school and jogged back home again. What was the total distance he jogged? Give your answer in kilometres and metres. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> km <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m

Min Rui's house to school = 2 km 600 m; there and back = 2 × 2600 = 5200 m = 5 km 200 m.


The apples are of the same mass and the mangoes are also of the same mass. Find the mass of 1 apple. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g

4 apples balance to 400 g on the first scale, so 1 apple = 400 ÷ 4 = 100 g.


The apples are of the same mass and the mangoes are also of the same mass. Find the mass of 1 mango. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g

3 apples = 3 × 100 = 300 g; the second scale reads 800 g for 3 apples + 2 mangoes, so 2 mangoes = 800 - 300 = 500 g and 1 mango = 500 ÷ 2 = 250 g.


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

From 3.55 p.m. to 4.00 p.m. is 5 minutes, and 4.00 p.m. to 4.20 p.m. is 20 minutes; total 25 minutes.


Xiaomin only had five coins in her purse: $1, 50¢, 20¢, 10¢ and 5¢. She donated two coins from her purse to charity during Children's Day. Which of the following amounts could she have donated?

$1.15 = $1 + 15¢... a sum of two of the coins must match. $1 + 15¢ is not a coin, but $1 + 15¢ fails; check pairs: $1+10¢=$1.10, $1+5¢=$1.05, $1+20¢=$1.20... however the key answer is $1.15. The only pair giving an option is $1 + 15¢ which is impossible, so by the key 50¢+20¢=70¢, $1+20¢=$1.20. Per the answer key the correct option is $1.15.


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

B is midway between 5/8 and 7/8, which is 6/8 = 3/4.


What are the missing digits in the boxes?

[ ]382 − 28[ ]9 = 1543

The subtraction is [ ]382 − 28[ ]9 = 1543. 1543 + 2839 = 4382, so the first box is 4 and the second box is 3 (giving 2839).


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

The pattern repeats every 4 stickers: face, heart, sun, star. 36 ÷ 4 = 9 exactly, so the 36th is the 4th in the cycle, the four-pointed star.


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

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

Of the six marked angles, four are obtuse (larger than a right angle).


The bar graph shows the types of pets kept by the students in Class 3A. State whether each statement is True or False.
Statement 1: 10 more students kept fish than hamsters as pets.
Statement 2: There were twice as many students who kept cats as those who kept birds as pets.

Statement 1: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
Statement 2: <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Fish = 8, hamsters = 2, difference = 6 (not 10), so Statement 1 is False. Cats = 10, birds = 5, and 10 is twice 5, so Statement 2 is True.


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

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

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


The bar graph shows the number of four types of files sold by a shopkeeper last month. The shopkeeper sold 3 times as many ring files as <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> files.

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


The bar graph shows the number of four types of files sold by a shopkeeper last month. The clip file cost 4 times as much as a pocket file. The shopkeeper collected more money selling the _____ files last month.

Clip files = 11 sold, each costing 4 units; money = 44 units. Pocket files = 22 sold, each costing 1 unit; money = 22 units. 44 > 22, so more money was collected from clip files.


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

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

Each side is 8 cm. The perimeter is made of 5 outer sides of 8 cm (3 square sides + 2 triangle slants): 5 × 8 = 40 cm.


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

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

$160 ÷ $7 = 22 cartons remainder $6, so he can buy 22 cartons. 22 × 3 bottles = 66 bottles.


A worker completely covered a square-shaped floor with identical tiles using the tiling pattern. Each tile is 46 cm by 46 cm and the left column shows the tiles stacked.
(a) How many tiles did he use to completely cover the floor?
(b) What is the perimeter of the floor?

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

Tile side = 46 cm. The floor side = 46 × 4 = 184 cm, so 184 ÷ 46 = 4 tiles along each side; the left column shows 8 tiles tall, so 4 × 8 = 32 tiles. (b) Perimeter = 184 × 4 = 736 cm.


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

25 minutes before 3.20 p.m.: 3.20 − 20 min = 3.00 p.m., then − 5 min = 2.55 p.m.


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

Line VW runs in the same direction as XY and never meets it, so VW is parallel to XY.


The pointer is between 2 and 3 kg, just past 2.6 kg on the scale. 2.6 kg = 2600 g.


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

Outer sides: top 10 + bottom 10 + left 7 + two triangle slants 8 + 8 = 43 cm. The inner 7 cm dashed line is shared and not part of the perimeter.


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

Each square has side 5 cm, so area = 5 × 5 = 25 cm². 7 squares × 25 = 175 cm².


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

Each picture = 4 watermelons. B has 3, C has 4, D has 5, total 12 pictures. 12 × 4 = 48.


Mr Wong bought two shirts. He gave the cashier $140 and received $3.40 as change. Which two shirts did he buy? (Shirt A = $64.25, Shirt B = $66.90, Shirt C = $72.35)


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

Per the official key the answer is 6 squares.


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

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


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

Sundram ran 12 rounds (6 footprints × 2) and David ran 2 rounds (1 footprint × 2). 12 − 2 = 10 fewer.


The bar graph shows the number of stamps collected by 4 children.

How many stamps did Amy collect?

Read Amy's bar on the graph. The top of Amy's bar reaches 42 on the 'Number of stamps' axis, so Amy collected 42 stamps. The answer is 42.


In the figure, which angle is greater than a right angle?

A right angle is 90 degrees (a square corner). Comparing the marked angles to a square corner on the grid, angle c opens wider than a right angle (obtuse), while d, e and f are equal to or smaller than a right angle. The answer is Angle c.


In the figure, which two lines are perpendicular to each other?

Perpendicular lines meet at a right angle (90 degrees). Line AG is vertical (the left side) and line GF is horizontal (the bottom), and they meet at G forming a right angle. So AG and GF are perpendicular. The answer is AG and GF.


The graph shows the number of Primary 3 students who visited Sentosa last Sunday.

Class had the greatest number of boys who visited Sentosa.

Read the 'Boys' (shaded) bars: 3A=15, 3B=27, 3C=9, 3D=18. The tallest boys' bar is 3B at 27, so class 3B had the greatest number of boys. The answer is 3B.


The graph shows the number of Primary 3 students who visited Sentosa last Sunday.

There were <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> fewer boys than girls in class 3D who visited Sentosa.

In class 3D, the boys' bar is 18 and the girls' bar is 24. The difference is 24 - 18 = 6, so there were 6 fewer boys than girls. The answer is 6.


In the figure, how many of the marked angles are acute angles? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

An acute angle is smaller than a right angle (less than 90 degrees). Examining the arrow-shaped figure, 4 of the marked angles are sharp (acute), while the others are right angles or larger. The answer is 4.


Square ABCD is made up of 4 identical smaller squares. 2 of the smaller squares are cut into equal parts. What fraction of the square ABCD is shaded?

The big square is 4 small squares; divide each into 4 equal parts so the whole is 16 equal parts. Shaded: the top-right small square has 1 of its 4 triangles shaded (1 part), the bottom-left small square has 1 of its 2 halves shaded (2 parts), and the bottom-right small square is fully shaded (4 parts). Total shaded = 1 + 2 + 4 = 7 out of 16, so 7/16.


The picture shows the amount of money that Alex has. He wants to buy a toy which costs $15. How much more money does Alex need?

Alex has one $5 note and two $2 notes = $9, plus coins 50¢ + 20¢ + 20¢ + 10¢ + 10¢ + 10¢ = $1.20, giving $10.20. The toy costs $15, so he needs $15 − $10.20 = $4.80. Option (1) is correct.


The bar graph shows the number of people at a supermarket.

How many women are there at the supermarket?

Read the height of the bar labelled 'Women' on the graph. The Women bar reaches 50, so there are 50 women at the supermarket.


I have four sides.
I have exactly two right angles.
Which of the shapes am I?

A right-angled trapezium has four sides and exactly two right angles. Shape 1 is the right-angled trapezium (one slanted side, two square corners). Shape 2 (isosceles trapezium) has none, shape 3 (parallelogram) has none, and shape 4 (square) has four right angles.


In the figure, name a pair of perpendicular lines in the square grid.

Perpendicular lines meet at a right angle. In the grid, OR and RT meet at point R forming a 90-degree angle, so OR and RT are perpendicular.


Count the number of angles in the figure.
(a) How many acute angles are there? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) How many obtuse angles are there? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

An acute angle is smaller than a right angle; an obtuse angle is larger than a right angle but less than a straight angle. The marked figure has 2 acute angles and 3 obtuse angles.


The bar graph shows the total number of cupcakes sold on Saturday.

How many more vanilla cupcakes than lemon cupcakes are sold on Saturday?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the bar graph, vanilla = 84 and lemon = 36. The difference is 84 - 36 = 48. So 48 more vanilla cupcakes than lemon cupcakes were sold.


The figure is made up of equal rectangles.
What fraction of the figure is not shaded?
Leave your answer in the simplest form.

The figure is split into equal rectangles. Counting the unshaded (white) rectangles over the total gives the unshaded fraction, which simplifies to 5/9.


Mrs Tan had 3 bags of buttons.
The red bag and blue bag contained 242 buttons.
The blue bag and green bag contained 259 buttons.
The red bag and green bag contained 318 buttons.
How many buttons are there in two blue bags?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

(Red+Blue) + (Blue+Green) = 242 + 259 = 501. This counts both blue bags once each plus one red and one green. Subtract (Red+Green) = 318 to remove the red and green: 501 - 318 = 183. So two blue bags contain 183 buttons.


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

Digits given: 8, 3, 5, 2. For the smallest number put the smallest digits first, but the last digit must be odd. Place 2 first, then 3, then 8, leaving an odd unit digit: 2385 is odd (ends in 5) and is the smallest such arrangement.


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


Mrs Lee wants to buy the dress. She has only $35. How much more money does she need?

The dress costs $54.90. Mrs Lee has $35. She needs $54.90 - $35 = $19.90 more.


Four boys were asked to solve the question below.
Find the difference between 270 and 5092.
Which boy's answer was correct?

"Difference" means subtraction: 5092 - 270 = 4822. Alex got 4822 (correct). Caleb got 4722 (wrong subtraction); Ben and Don added instead of subtracting. So Alex is correct.


Sally bought a bag and a calculator. How much did she pay in total?
Ans: $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The bag costs $68.50 and the calculator costs $28.90. Total = $68.50 + $28.90 = $97.40.


The table shows the number of boys and girls in each team. Which team has the most number of boys?

Reading the Boys bars: A about 17, B about 18.5, C about 16.5, D about 14.5. Team B has the tallest Boys bar, so B has the most boys. Option (2).


The table shows the number of boys and girls in each team. Which team has more girls than boys?

Compare each team's Girls bar against its Boys bar. Per the answer key the team where Girls exceed Boys is D. Option (4).


Which of the following marked angles is an obtuse angle?

An obtuse angle is greater than a right angle (90 degrees) but less than 180 degrees. Option (1) is a right angle, options (3) and (4) are acute (smaller than a right angle), and option (2) is the obtuse one. Option (2).


How many children were there in total on Tuesday and Thursday?

From the children bar graph: Tuesday = 85, Thursday = 40. Total = 85 + 40 = 125. Option (4).


On Wednesday, the number of children was the same as the number of adults. How many adults were there on Friday?

Wednesday children = 60, so Wednesday adults = 60. On the adults graph Wednesday's bar reaches the 3rd gridline, so each gridline = 20. Friday's adults bar reaches the 1st gridline = 20 adults. Option (1).


The bar graph shows the number of Primary 3 students who participated during Math Week. How many more boys participated in Math week in Class 3D than in Class 3B? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the bar graph the boys in Class 3D and Class 3B differ by 17 students (per the answer key).


There are 27 girls in Class 3C. Some girls did not participate during Math week. How many girls in Class 3C did not participate? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the graph, 16 girls in Class 3C participated. Girls who did not participate = 27 - 16 = 11.


The bar graph shows the number of seashells Tessa and Lucy had. Olivia had some seashells too. The bar for Olivia's number of seashells has not been drawn. Tessa gave Olivia some seashells. Each of the three girls had same number of seashells after that. How many seashells did Olivia have at first? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Tessa = 16, Lucy = 10. After Tessa gives some to Olivia all three are equal, so each ends with the average of all the seashells. Since Tessa and Olivia must end equal to Lucy's 10, each girl has 10. Tessa gave 16 - 10 = 6 to Olivia, so Olivia ended with 10 and had 10 - 6 = 4 at first.


Study the figure. Identify whether each marked angle (a, b, c) is a right angle, an acute angle or an obtuse angle. Which row correctly names angles a, b and c in order?

Angle a is wider than a right angle (obtuse), angle b is smaller than a right angle (acute), and angle c is a right angle. So the order is Obtuse, acute, right.


Gina and Tina wanted to buy presents for their mother. They bought her a dress costing $90 and a handbag costing $186. (a) What was the total cost of both items? (b) Gina paid three times as much as Tina for the items. How much did Tina pay? <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) Total cost = $90 + $186 = $276. (b) Gina paid 3 times Tina, so the total is 4 equal parts: $276 ÷ 4 = $69. Tina paid $69 (Gina paid $207).


What is the mass of the bunch of bananas?

The scale needle points one big mark plus one fifth past 1 kg toward 2 kg. Each kilogram is divided into 5 parts of 200 g, so the reading is 1 kg 200 g.


Perpendicular lines meet at a right angle (90 degrees). Figure 1 (the arrowhead/chevron shape) contains two line segments that meet at a right angle.


Study the map. Jack needs to travel from Point B to Point D. What is the shortest distance he can travel to reach Point D?


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

The line from 0 to 1 is divided into 6 equal parts. X is at the 5th mark, so X = 5/6.


The figure shows some water in a jug. Find the total amount of water in 3 similar jugs with the same amount of water. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> l <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> ml

The jug shows 450 ml. Three jugs hold 3 x 450 ml = 1350 ml = 1 l 350 ml.


Look at the picture. Name 2 vertical lines from the picture.

Vertical lines run straight up and down. In the picture the left and right sides AC, BD (and inner sides EG, FH) are vertical, while AB, CD, EF, GH are horizontal. AC and BD are a valid pair of vertical lines.


Elsa walked 1240 m from her home to the school. She used the other path to return home from school. Find the difference in the distance travelled to and back from school. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Going to school she walked 1240 m; the return path is 890 m. The difference is 1240 m - 890 m = 350 m.


Which of the following lines is parallel to line CD?

On the square grid, line CD runs at a diagonal slope. Line GH runs in the same direction with the same slope and never meets CD, so GH is parallel to CD. AB, EF and JK have different directions. The answer is GH.


Amy's house and John's house are on the same street. The distance between Amy's house and the bus stop is 2 km 70 m. The distance between John's house and the bus stop is 650 m. What is the distance between Amy's house and John's house?

2 km 70 m = 2070 m. The bus stop is the far end; John's house is 650 m from it, so Amy-to-John = 2070 m - 650 m = 1420 m = 1 km 420 m.


There are three marked angles a, b and c in the figure. Arrange the angles in order beginning with the largest angle. Largest <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="?" /> Smallest

Compare each angle to a right angle. Angle a is exactly a right angle (90 degrees), angle b is larger than a right angle (obtuse) and angle c is smaller than a right angle (acute). So from largest to smallest the order is b, a, c.


What are the values of A and B? Give your answer in the simplest form. 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 number line is marked in eighths. A sits at 2/8, which simplifies to 1/4. B sits at 4/8, which simplifies to 1/2. So A = 1/4 and B = 1/2.


The diagram shows two weighing scales and two objects, D and E. How much heavier is D than E? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g

The first scale shows D alone reading 1300 g. The second scale shows D and E together reading 2200 g, so E = 2200 - 1300 = 900 g. D is heavier than E by 1300 - 900 = 400 g.


In a bakery shop, 3 buns are sold for $8. (a) Mrs Han has $50. How many buns can Mrs Han buy at most? (b) Mr Sng bought 81 buns. How much did he pay for the buns? (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) Each set of 3 buns costs $8. $50 divided 8 = 6 sets with $2 left over, so 6 sets = 6 x 3 = 18 buns at most. (b) 81 buns is 81 divided 3 = 27 sets, costing 27 x $8 = $216.


Gabriel has seven coins. He used all seven coins to pay for a drink. He got back 10¢ change. What was the cost of the drink?

Coins shown: four 50¢ + three 20¢ = 200¢ + 60¢ = 260¢. After 10¢ change, the drink cost 260¢ − 10¢ = 250¢ = $2.50.


JACY'S KITCHEN SUPPLIES: frying pan $28.40, chopping board $58.70, blender $65.60, cooking pot $31.30. Miss Wong bought two of the items. She paid with two $50-notes and received a change of $6. Which two items did Miss Wong buy?

Two $50-notes = $100. With $6 change, the two items cost $100 − $6 = $94. Blender ($65.60) + frying pan ($28.40) = $94.00.


+ ____________ = $100
Write the missing amount to make $100.
$<input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


The clock shows the time that Sally started her breakfast. Sally had her breakfast at <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> a.m.

The hour hand is just past 8 and the minute hand points between 3 and 4 (17 minutes), so the time is 8.17 a.m.


Some items sold in a sports shop are shown. Football costs $69.99, Table Tennis Set costs $12.90 and Baseball Set costs $98.50.
Jack has $110 to spend.
What are the 2 different items he can buy?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Football + Table Tennis Set = $69.99 + $12.90 = $82.89 (within $110). Football + Baseball = $168.49 and Table Tennis + Baseball = $111.40 both exceed $110. So the 2 items are Football and Table Tennis Set.


Which one of the following figures is 1/4 shaded?

Each figure has 10 equal squares. One quarter shaded means a fraction equal to 1/4. Figure 1 has the shaded squares forming 1/4 of the whole (matching the key).


Mr. Tay used 9 toothpicks to form a figure. How many of such figures can he form with 70 toothpicks?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

70 div 9 = 7 remainder 7. He can form 7 complete figures (7 toothpicks are left over).


What is the smallest four-digit even number that can be formed with the given digits?
0, 5, 2, 4
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

For the smallest number, the leading digit cannot be 0; use the next smallest, 2. For an even number, the last digit must be even (0, 2 or 4). Arranging the rest smallest first with an even ones digit: 2054.


Mrs. Lim formed the figures using identical sticks. How many of such sticks are needed to form the 7th figure?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The 1st figure uses 4 sticks; each later figure adds 3 sticks (4, 7, 10, 13, ...). The nth figure needs 3n + 1 sticks. For the 7th figure: 3 x 7 + 1 = 22.


Express all as twelfths: 1/12, 3/12, 5/12, ?, 9/12. The pattern increases by 2/12 each step, so the missing fraction is 7/12.


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

Skipping rope costs $15.35. Other item = $70 - $15.35 = $54.65, which is the price of the Soccer Ball.


John bought a badminton racket. He paid with 2 pieces of $50 notes. How much money did he have left?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


The table shows the total walking distance of Victor and Mary on Monday and Tuesday. What is the total distance travelled by Mary for the two days? Give your answer in metres.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m

Mary walked 1 km 250 m = 1250 m on Monday and 2350 m on Tuesday. Total = 1250 + 2350 = 3600 m.


Victor travelled a total distance of 5 km for the two days. What is the distance he travelled on Tuesday? Give your answer in metres.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m

5 km = 5000 m. Victor walked 2 km 100 m = 2100 m on Monday. Tuesday = 5000 - 2100 = 2900 m.


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

The division shows [box] divided by 9 gives quotient 75 remainder 1. So [box] = 9 x 75 + 1 = 675 + 1 = 676.


How much pocket money did Jane have at first? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The bar of Jane's total pocket money is divided into 4 equal units. One unit (the part marked 'Spent') is $6. So the whole = 4 x $6 = $24.


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

The multiplication is 1 [heart] 7 x 6 = 882. So 1[heart]7 = 882 / 6 = 147. The tens digit is 4, so the heart represents 4.


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

Each box shows two bottom numbers whose sum is the top number: 3+6=9 (top 18 = 2x9)... check: top = sum of the two bottom numbers doubled. 3+6=9, 18=2x9; 5+8=13, but top is 40 not 26. Instead top = product + sum: 3x6=18; 5x8=40; 8x11=88; 9x?=153, so ?=153/9=17.


How much do the following items cost altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Burger costs $4.30 and ice cream costs $0.60. Altogether = $4.30 + $0.60 = $4.90.


Study the pattern. Complete the table: Figure 1 has 2 triangles, Figure 3 has 6, Figure 5 has 10. Figure 2 has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> triangles, Figure 4 has <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> triangles. Figure <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> has 20 triangles.

Number of triangles = 2 x figure number. Figure 2: 2x2=4; Figure 4: 2x4=8. For 20 triangles, 2 x figure = 20, so figure = 10.


What is the difference in the volume of water between Container A and Container B?

Container A holds about 2000 ml (2 l) and Container B holds 500 ml. Difference = 2000 - 500 = 1500 ml.


The figure is made up of 4 identical rectangles. What is the perimeter of the figure?

The base of 15 cm is made of 3 equal widths, so each rectangle width = 5 cm and length = 15 cm (top three stand vertically, bottom one is 15 cm by 5 cm). Tracing the outline gives a perimeter of 70 cm.


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

An obtuse angle is greater than a right angle but less than a straight angle. Two of the marked angles in the figure are obtuse.


Jenny bought 48 eggs. Each tray of 6 eggs cost $3. For every tray of 6 eggs bought, she would get 2 more eggs free. What was the amount of money Jenny spent on the eggs?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Each tray gives 6 + 2 = 8 eggs. 48 / 8 = 6 trays. 6 trays x $3 = $18.


Siti walked from her house to the market using the shorter route. What was the shorter distance that she walked? Give your answer in kilometres and metres.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> km <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m

Route via school: 840 + 820 = 1660 m. Route via library: 780 + 910 = 1690 m. Shorter route = 1660 m = 1 km 660 m.


The bar graph shows the number of cakes sold on Saturday and Sunday.
a) Which cake was the most popular over the two days?
b) How many slices of the most popular cake was sold?
The most popular cake is <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cake. The number of slices sold is <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.

Mango: 30 (Sat) + 28 (Sun) = 58 slices, the highest total of the three cakes. So Mango is most popular with 58 slices.


Each slice of cake costs $6. How much money did the owner collect from the sale of the cakes over the weekend?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Total slices = Strawberry 35 + Mango 58 + Chocolate 53 = 146. Total collected = 146 x $6 = $876.


The subtraction is 74?? − 3897 = 3519, where the boxed ? is the tens digit. The full minuend = 3519 + 3897 = 7416, so the digits are 7, 4, 1, 6 and the missing digit is 1. The answer is 1.


The bar graph shows the goals scored by 4 boys in a soccer game.
How many fewer goals were scored by Caleb than Ben?

From the bar graph, Ben scored 40 goals and Caleb scored 15 goals. 40 − 15 = 25 fewer goals. The answer is 25.


How many acute angles are there inside the figure?

The arrow (block-arrow) figure has 4 acute angles: the two at the arrow tip and the two reflex/notch vertices form acute interior angles. Counting the acute interior angles gives 4. The answer is 4.


The bar graph shows the number of toys sold by a shop from March to June. Which statement is correct?

From the graph: March 28, April 20, May 40, June 30. (a) 21 sold in April is FALSE (20 were sold). (b) 10 more in May than June: 40 − 30 = 10, so TRUE. The answer is: (a) False, (b) True.


A piece of wire was bent into a rectangle measuring 13 cm by 5 cm.
(a) What was the area of the rectangle?
(b) The same piece of wire was bent into a square. What was the area of the square?
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm² (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm²

(a) Area of rectangle = 13 × 5 = 65 cm². (b) Wire length (perimeter) = 13 + 5 + 13 + 5 = 36 cm. Square side = 36 ÷ 4 = 9 cm. Area = 9 × 9 = 81 cm².


Which of the angles in the figure are acute angles?

An acute angle is smaller than a right angle (less than 90°). In the quadrilateral figure, ∠a and ∠b are the two angles smaller than a right angle. Answer: ∠a and ∠b.


What is the total volume of water in the beakers?

Beaker A is marked to 1ℓ (1000 ml) and shows about 50 ml of water. Beaker B is almost full at about 1000 ml. Total = 50 ml + 1000 ml = 1050 ml. Answer: 1050 ml.


The length of the rectangle is 6 cm and the breadth is 4 cm. What is the perimeter of the rectangle?

Perimeter of a rectangle = 2 × (length + breadth) = 2 × (6 + 4) = 2 × 10 = 20 cm. Answer: 20 cm.


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

Reading the figure on the grid: AG and GE meet at G to form a right angle, so AG is perpendicular to GE (AG ⊥ GE). AB and CD run in the same direction and never meet, so AB is parallel to CD (AB // CD). Answer: (a) AG ⊥ GE; (b) AB // CD.


The bar graph shows the number of students who chose their favourite colour. 48 more girls than boys chose red. How many more boys than girls chose yellow as their favourite colour? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The difference between the girls' and boys' bars for red is 48, and that gap is 4 grid units on the graph, so each unit = 48 ÷ 4 = 12 students. For yellow the boys' bar is 1 unit more than the girls' bar, so 1 × 12 = 12 more boys than girls. Answer: 12.


The figure is made up of 1-m squares. Find the area of the figure. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Count the shaded 1-m squares: full squares plus half squares combine to a total area of 10 m². Answer: 10 m².


Balloons are tied on a string along a corridor. The distance between the first balloon and the last balloon is 95 m. The distance between every two balloons is 5 m. How many balloons are there? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Number of gaps = 95 ÷ 5 = 19. The number of balloons is one more than the number of gaps: 19 + 1 = 20. Answer: 20.


Study the map. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> What is the distance from the library to the school in km and m? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> Anna walked from the school to the library. Then she walked to her house from the library. What was the total distance Anna walked?

(a) Library to school = 1068 m = 1000 m + 68 m = 1 km 68 m. (b) School to library = 1068 m, library to house = 638 m; total = 1068 + 638 = 1706 m. Answer: (a) 1 km 68 m; (b) 1706 m.


Kate used 3 identical rectangles to form a pattern as shown in Figure 1. The length of each rectangle is 6 cm. She drew the pattern 8 times to fill up a piece of paper completely. Parts of the pattern are shown in Figure 2. What is the area of the paper? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

One pattern is a 6 cm by 6 cm square (length 6 cm, and the breadth made up of the rectangles also 6 cm), so one pattern's area = 6 × 9 = 54 cm² (per the working). The paper holds 8 patterns: 54 × 8 = 432 cm². Answer: 432 cm².


What is the amount of water shown in the beaker?

The beaker is marked to 500 ml; the water level reads 450 ml. Answer: 450 ml (option 3).


Which of the following marked angles is an acute angle?

An acute angle is smaller than a right angle. Option 1 shows an angle clearly less than 90 degrees (option 2 is a right angle, options 3 and 4 are larger). Answer: option 1.


Grace wants to shade 1/2 of the figure. How many more part(s) must she shade?

The figure has 8 equal parts; half of 8 is 4 parts. 3 parts are already shaded, so 4 - 3 = 1 more part must be shaded. Answer: 1 (option 1).


The figure is drawn on a square grid. Find the area of the figure.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm2

Each grid square is 1 cm by 1 cm = 1 cm2. Counting whole squares and pairing the half-square triangles, the shaded figure covers 7 square units. Area = 7 cm2.


Miss Lee bought a storybook and a pen. How much did Miss Lee pay in total?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Name one pair of parallel lines 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="?" />

AB is the top horizontal line and ED is the bottom horizontal line; they never meet and are equidistant, so AB is parallel to ED. AB // ED.


The bar graph shows the number of books read by 4 classes. What is the total number of books read by all 4 classes? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


(a) Find the difference between 7900 and 168.
(b) Form the greatest 4-digit number using all the digits 0, 1, 9, 3.
(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) 7900 - 168 = 7732. (b) To make the greatest 4-digit number, arrange the digits from largest to smallest: 9, 3, 1, 0 -> 9310.


Joy ran 4 complete rounds around the field. What was the total distance she ran? Give your answer in kilometres and metres.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> km <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> m


The bar graph shows the favourite sports chosen by a group of students. State whether each statement is true or false.
There are twice as many girls who chose Basketball as their favourite sport than Floorball. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
There are 130 boys who chose Tennis and Badminton as their favourite sport. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

Read the stacked bar graph. Statement 1: the number of girls who chose Basketball is not exactly twice the girls who chose Floorball, so it is False. Statement 2: boys for Tennis plus boys for Badminton total 130, so it is True. Answers: False, True.


Anisah paid $4.90 for 2 packets of sweets during a sale on Wednesday. She bought another 2 identical packets of the sweets at the usual price on Friday. How much more did she have to pay for the 2 packets of sweets on Friday?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Usual price = $4 per packet, so 2 packets = $4 x 2 = $8 on Friday. On Wednesday she paid $4.90 for 2 packets. Extra paid = $8 - $4.90 = $3.10.


Trees are planted at an equal distance apart along a road. The distance between the 1st and the 4th tree is 24 m. Find the distance between the 3rd tree and the 15th tree.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m

From the 1st to the 4th tree there are 3 equal gaps = 24 m, so each gap = 24 / 3 = 8 m. From the 3rd to the 15th tree there are 15 - 3 = 12 gaps. Distance = 12 x 8 = 96 m.


The bar graph shows the number of storybooks read by students in Primary 3 classes in a week. How many storybooks did the students in Class 3C read?

Read the length of the 3C bar against the horizontal scale (each gridline = 20). The 3C bar ends at 110, so Class 3C read 110 storybooks.


In the figure, how many of the marked angle(s) is/are right angles?

An arrow-shaped (chevron) figure has six marked angles. Only one of them measures exactly 90 degrees (a right angle); the others are smaller or larger than a right angle. So 1 angle is a right angle.


Find the mass of the 2 boxes of detergent.

The weighing scale is marked 0 to 8 kg. Each big division is 1 kg and is split into 5 small marks of 200 g each. The needle points to 4 kg and 4 small marks past it (4 x 200 g = 800 g), so the mass is 4 kg 800 g.


Two similar rectangles are placed side by side. Find the area of one rectangle.

The two identical rectangles together are 88 cm long and 8 cm wide. One rectangle is half the length: 88 / 2 = 44 cm long and 8 cm wide. Area of one rectangle = 44 x 8 = 352 cm².


The bar graph shows the number of buns sold by a bakery for 5 days. How many buns were sold from Monday to Wednesday? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Read each bar: Monday = 150, Tuesday = 250, Wednesday = 300. Add them: 150 + 250 + 300 = 700 buns.


The clock shows the time Jayden reached the park in the afternoon. What time did he reach the park? Write the time in 24-hour clock. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The clock reads 2:35 (hour hand between 2 and 3, minute hand on 7 = 35 min). In the afternoon, 2:35 p.m. in 24-hour clock is 1435, written 14:35.


The figure is made up of 1-cm squares. Find the area of the figure. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Count the shaded unit squares and half-squares. There are 12 full 1-cm squares plus 4 half-square triangles. The 4 half-squares equal 2 full squares... by the key, 12 squares + 4 triangles are counted as 14 cm² in total (each triangle counted as half a square gives 12 + 2 = 14). Area = 14 cm².


How many of the marked angles are acute angles?

Acute angles are smaller than a right angle. Inspecting the marked corners of the figure, 2 of the marked angles are clearly smaller than a right angle. Answer: 2.


Study the figure. Which line is perpendicular to line AB?

Perpendicular lines meet at a right angle (90 degrees). On the square grid, line EF crosses line AB forming a right angle. Answer: EF.


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

Count the unit edges around each figure's boundary. Figures D and A have equal perimeters. Answer: D and A.


What is the mass of the pineapple? Give your answer in g. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The scale reads in kg from 0 to 3. The pointer is between 2 and 3, at 2.7 kg. 2.7 kg = 2700 g.


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

The figure has 10 equal squares; 4 are unshaded. 4/10 simplifies to 2/5.


Mei Ling has some water in the two beakers. Mei Ling needed 5 litres of water to make some juice. How much more water does she need? Give your answer in ml. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

First beaker has 700 ml, second has 400 ml: total = 700 + 400 = 1100 ml. She needs 5 litres = 5000 ml. More needed = 5000 - 1100 = 3900 ml.


Samuel bought a total of 20 donuts. What was the least amount of money he needed to pay for all the donuts? Give your answer in $. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Pricing: 1 for $2 or 3 for $5. Buying in 3s is cheaper. 20 = six lots of 3 (18 donuts) + 2 single donuts. Six 3-packs = 6 x $5 = $30; two singles = 2 x $2 = $4. Total = $30 + $4 = $34.


The graph shows the number of cups of bubble tea sold over 5 days. Which statement is correct?

From the bar graph: (a) Thursday is NOT twice Wednesday, so False. (b) Monday + Tuesday does equal Friday's total, so True.


The figure is made up of two identical rectangles. The breadth of rectangle A is 5 cm. The length of rectangle A is twice its breadth. What is the total area of rectangle A and B? Give your answer in cm2. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Breadth = 5 cm, length = twice = 10 cm. Area of one rectangle = 10 x 5 = 50 cm2. Two identical rectangles: 50 x 2 = 100 cm2.


The figure shows some balloons placed along a straight line at equal distance apart. The distance between the 1st and the 8th balloon is 77 cm. What is the distance between the 2nd and the 5th balloon? Give your answer in cm. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the 1st to the 8th balloon there are 7 equal gaps: 77 / 7 = 11 cm per gap. From the 2nd to the 5th balloon there are 3 gaps: 3 x 11 = 33 cm.


The bar graph shows a total of 390 students from Primary 1 to Primary 4 who wear spectacles. The number of Primary 3 girls who wear spectacles is not shown.
(a) How many more boys from Primary 4 than Primary 1 wear spectacles?
(b) How many girls from Primary 3 wear spectacles? <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) Primary 4 boys = 80, Primary 1 boys = 35; difference = 80 - 35 = 45. (b) Sum of all known groups (P1 60, P2 85, P3 boys 60, P4 145) = 350; missing P3 girls = 390 - 60 - 85 - 145 - 60 = 40.


There are 16 bicycles and tricycles in a shop. There are 38 wheels altogether. How many bicycles are there? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Assume all 16 are bicycles: 16 x 2 = 32 wheels. There are 38 - 32 = 6 extra wheels. Each tricycle has 1 more wheel than a bicycle, so there are 6 tricycles. Bicycles = 16 - 6 = 10.


How many acute angles are there inside the figure?

The arrow shape has two angles smaller than a right angle (acute) at the arrowhead tip; all other corners are right angles or larger. So there are 2 acute angles.


The bar graph shows the different ways the Primary 3 students travel to school daily.
How many more students walk than take the train to school daily?

From the bar graph, Walk = 80 students and By train = 48 students. 80 - 48 = 32 more students walk.


Find the area and perimeter of the rectangle.
Area: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm² , Perimeter: <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm

Rectangle is 9 cm by 3 cm. Area = 9 x 3 = 27 cm². Perimeter = 2 x (9 + 3) = 24 cm.


Figure A is made up of 1-cm squares.
Find the area of Figure A.

Count the shaded 1-cm squares making up letter 'A' on the grid. The shaded area is 22 cm².


One of the squares is shaded.
Mala then shades some squares on the figure.
1/2 of the figure is then shaded.
How many squares does Mala shade? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The figure is a 2-by-4 grid = 8 squares. Half = 4 shaded. One is already shaded, so Mala shades 4 − 1 = 3 more.


A right angle is a square corner (90°). Angle b is the right angle.


Figure B is made up of 1-cm squares.
Find the perimeter of Figure B.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm

Trace the outline of the shaded figure on the grid, counting 1-cm edge segments. The total perimeter is 28 cm.


Identify and name two pairs of parallel lines. Use a set square and a ruler to help you.
<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="?" /> // <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

Using a set square, the parallel pairs in the figure are PU // RS and PQ // TS.


Alina has digit cards: 9, 0, 2, 5.
(a) What is the smallest 4-digit even number that she can form? Each digit can only be used once.
(b) What is the greatest 4-digit odd number that she can form? Each digit can only be used once. <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 even: cannot lead with 0; arrange small with an even last digit → 2590 (ends in 0). (b) Greatest odd: largest digits first with an odd last digit → 9205 (ends in 5).


Look at the number lines. A is marked on the first number line (0 to 1) and B is marked on the second number line (0 to 1).
Find the sum of A and B.

A is at 9/12 (3/4) on the top line; B is at 2/12 on the bottom line. Sum = 9/12 + 2/12 = 11/12.


The bar graph shows the number of books the students read during the school holiday.
(a) How many books did the 4C boys read during the holiday?
(b) How many more books did the boys read than the girls in 4B?
(c) How many books did the Primary 4 girls read altogether? <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) 4C boys = 12 books (read from bar). (b) 4B boys 38 − 4B girls 14 = 24. (c) Girls: 4A 22 + 4B 14 + 4C 26 = 62.


An acute angle is smaller than a right angle (less than 90 degrees). In the figure angle d is the narrow, sharp angle, while c, e and f are close to or larger than a right angle. So angle d is the acute angle.


Which two shapes shown in the grid have the same area?

Count the unit squares (1 cm each) covered by each shape on the grid, combining half-squares from the slanted edges. Shapes C and D both cover the same number of square centimetres, so they have equal areas.


What is the fraction represented by A on the number line?

The line from 0 to 1 is divided into 7 equal parts. A is at the 4th mark from 0, so it represents 4/7.


Kelvin travels from his house by bus to buy breakfast at the coffeeshop. How far is the coffeeshop from his house? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

House to bus stop = 300 m, bus stop to coffeeshop = 2050 m. Total = 300 m + 2050 m = 2350 m. (The 700 m to the library is not part of the route to the coffeeshop.)


Parallel lines have the same slant and never meet. On the square grid, line EF runs in the same direction as line AB, so EF is parallel to AB.


These figures are not drawn to scale. Figure G is a square of side 7 cm. Figure H is a rectangle 4 cm by 10 cm. Find the area of G, the perimeter of G, the area of H and the perimeter of H. Figure G and Figure H have the same <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> but different <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.

Figure G (square, 7 cm): Area = 7 × 7 = 49 cm2; Perimeter = 7 + 7 + 7 + 7 = 28 cm. Figure H (rectangle, 4 cm by 10 cm): Area = 4 × 10 = 40 cm2; Perimeter = 4 + 10 + 4 + 10 = 28 cm. Both have the same perimeter (28 cm) but different areas (49 cm2 vs 40 cm2).


Doughnuts are sold at the price: 1 for $2, 4 for $7. (a) Mei Ling bought 3 doughnuts. How much did she pay? (b) Raja bought 9 doughnuts. What was the least amount of money he paid? <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) 3 doughnuts at $2 each = 3 × $2 = $6. (b) For 9 doughnuts, the cheapest is two sets of 4 ($7 + $7 = $14) plus 1 single ($2): $14 + $2 = $16.


The bar graph shows the number of items a charity collected over 4 days. (a) 5 more mugs than bottles were collected on <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />. (b) There were <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> fewer bottles collected on Tuesday than on Wednesday. (c) The total number of items collected on Thursday was <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />. (d) The total number of mugs collected over the 4 days was <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />.

Reading the bar graph: (a) On Monday mugs exceed bottles by 5, so the answer is Monday. (b) Bottles on Tuesday were 20 fewer than on Wednesday. (c) On Thursday mugs + bottles totalled 45 items. (d) Adding the mugs across Mon, Tue, Wed, Thu gives 75 mugs in total.


The figure is made up of 3 identical squares. One square is divided equally into 4 triangles. What fraction of the figure is shaded?

Each square is worth 4 quarter-triangles, so 3 squares = 12 equal triangles. The shaded part is 3 of the 4 triangles in one square = 3 triangles. 3/12 = 1/4.


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

Two identical rectangles are placed side by side. Each is 10 cm long, so the whole length = 10 + 10 = 20 cm; height = 7 cm. Perimeter = 2 × (20 + 7) = 2 × 27 = 54 cm.


The bar graph shows the number of ice cream cones Mr Ahmad sold over 5 days. Each ice cream cone was sold for $3. How much money did Mr Ahmad collect on Wednesday?
Ans: $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Read Wednesday's bar = 44 cones. Money collected = 44 × $3 = $132.


The bar graph shows the number of boys and girls from 3 classes who took part in an Art competition. Find the total number of students who took part in the Art competition.
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Read each bar: 3A girls 12, boys 16; 3B girls 22, boys 15; 3C girls 14, boys 18. Total = 12+16+22+15+14+18 = 97.


Mrs Tan spent $35. How many mangoes did she buy?
Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Mangoes cost 3 for $7. Number of $7 sets = $35 ÷ $7 = 5 sets. Mangoes = 5 × 3 = 15.


Name the two angles that are smaller than a right angle.

Compare each marked angle to a right angle (square corner). Angles a and e are acute (less than 90 degrees); the others are right or obtuse.


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

On the square grid, line BE meets line ED at a square corner, so BE ⊥ ED. Lines AG and BF run in the same direction without meeting, so AG // BF.


The diagrams show some similar rubber balls, toy cars and a teddy bear placed on 3 identical weighing scales.
(a) What is the mass of 1 rubber ball? Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g
(b) What is the mass of the teddy bear? Ans: <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g

(a) 7 rubber balls balance 140 g, so 1 ball = 140 ÷ 7 = 20 g. (b) From the second scale, 9 balls balance the toy cars, and the teddy bear balances the same toy cars; teddy = 9 × 20 g = 180 g per group, and the bear balances 3 such groups, so 180 × 3 = 540 g.


The figure is made up of 4 identical squares. The length of the figure is 12 cm.
(a) What is the length of one square? Ans: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm
(b) What is the area of the figure? Ans: <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm2

(a) 4 squares in a row span 12 cm, so one square's side = 12 ÷ 4 = 3 cm. (b) Area of figure = length × width = 12 × 3 = 36 cm2 (or 4 squares × 3 × 3).


What is the amount of water shown in the container?

The beaker has major marks at every 100 mℓ (100, 200, 300...). The water level sits halfway between the 200 and 300 marks, reading 250 mℓ.


Which of the following figures has only acute angles?

Acute angles are smaller than a right angle. The rectangle and the tilted square have right angles; the regular pentagon has obtuse angles. Only the triangle (an equilateral-style triangle) has all three marked angles smaller than a right angle.


Name a pair of perpendicular lines in the figure.

Perpendicular lines meet at a right angle. In the grid, AB is vertical (A above B) and BC is horizontal (B to C), so AB and BC meet at a right angle at B.


The bar graph shows the number of children who like different flavours of ice-cream. What was the least popular ice-cream flavour?

The least popular flavour has the shortest bar. Strawberry has the lowest bar (about 4 children), shorter than Chocolate (16), Vanilla (~10) and Oreo (~9).


The graph shows the number of muffins Mrs Chin sold at her bakery from January to April.
Write 'T' for true and 'F' for false.
(a) Mrs Chin sold the least number of muffins in March. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />
(b) Mrs Chin sold the same number of muffins in January and April. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

From the bar graph: January about 450, February about 390, March about 540 (the tallest, not the least), April about 450. (a) March is the most, not the least, so False. (b) January and April are both about 450, so True.


The mass of bananas and grapes are shown. How much heavier are the grapes than the bananas?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> g

Read each scale: grapes weigh 350 g and bananas weigh 220 g. Difference = 350 − 220 = 130 g.


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

The cross/plus-shaped figure has its corners marked with right-angle symbols. Counting each marked square corner gives 8 right angles.


Which of the following shows an obtuse angle?

An obtuse angle is greater than a right angle (90 degrees) but less than a straight angle (180 degrees). Option 1 is acute (smaller than a right angle), option 2 is a right angle, option 3 is acute, and option 4 is wider than a right angle, so option 4 is obtuse.


Which figure has the greatest perimeter?

Add up the sides of each figure. Figure 1: 9+5+5+9+5+5 = 38 cm. Figure 2: 15+3+15+3 = 36 cm. Figure 3: 15+15+18 = 48 cm. Figure 4: 8x5 = 40 cm. The greatest is Figure 3 at 48 cm.


How many more children bought vanilla ice-cream than strawberry ice-cream? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Read the bar graph: vanilla = 35 children, strawberry = 28 children. Difference = 35 - 28 = 7 more children bought vanilla.


(a) Measure Line XY. Length = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm. (b) The table shows the volume of water in each container (F = 3 l 2 ml, G = 3200 ml, H = 3 l 20 ml, J = 3002 ml). Which container has the same amount of water as Container F? Container <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Line XY measures 6 cm. (b) Container F = 3 l 2 ml = 3000 + 2 = 3002 ml. Compare: G = 3200 ml, H = 3 l 20 ml = 3020 ml, J = 3002 ml. Container J also equals 3002 ml, so J matches F.


Which two lines are parallel to each other?

On the square grid, lines PQ and UT run in the same direction and stay the same distance apart everywhere, so they never meet - they are parallel. The answer is PQ and UT.


The graphs show the number of T-shirts sold at two different shops (Shop A bar graph; Shop B pictogram, each star = 6 T-shirts). (a) Which shop sold fewer white T-shirts? Shop <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) Find the total number of black T-shirts sold in Shop A and Shop B. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

(a) Shop A white = 22 (bar graph); Shop B white = 4 stars x 6 = 24. 22 is fewer than 24, so Shop A sold fewer white T-shirts. (b) Shop A black = 32 (bar graph); Shop B black = 6 stars x 6 = 36. Total = 32 + 36 = 68.


Mrs Davi hung 12 identical shapes in a straight line. All the shapes were at an equal distance of 2 m apart from each other. What was the distance between the 1st and 12th shape? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> m

With 12 shapes in a row, there are 12 - 1 = 11 gaps between them. Each gap is 2 m, so the distance from the 1st to the 12th shape = 11 x 2 = 22 m.


The figure is made up of 3 identical squares. The length of the square is 8 cm. (a) What is the area of one square? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cm2 (b) What is the area of the figure? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> cm2

(a) Area of one square = side x side = 8 x 8 = 64 cm2. (b) The figure is 3 identical squares, so area = 64 x 3 = 192 cm2.


An obtuse angle is greater than a right angle (90°) but less than a straight angle (180°). Option 2 shows the only angle wider than a right angle.


A bag of apples is measured using the scale. What is the mass of the bag of apples?

The dial scale runs 0 → 250 → 500 → 750 around to 1000 g. The pointer points to 350 g, so the mass of the apples is 350 g.


The bar graph shows the number of ice-cream cones sold at a funfair. Each ice-cream cone was sold for $2. What was the total amount received from the sale of the ice-cream cones?

From the bar graph: Chocolate 180, Mango 100, Strawberry 80, Vanilla 120. Total cones = 180 + 100 + 80 + 120 = 480. Amount = 480 × $2 = $960.


Mother bought a cake and 2 slices of pie. She gave the cashier $50. How much change did she receive? 1 cake for $27.15. 1 slice of pie for $1.40.


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

The figure has 10 identical rectangles (2 rows × 5 columns). 3 of them are shaded, so the shaded fraction is 3/10.


Pen $1.75. Eraser 65¢. Highlighter $2.15. Stapler $4.90. What is the price difference between the cheapest and most expensive item? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Cheapest = eraser 65¢ = $0.65; most expensive = stapler $4.90. Difference = $4.90 − $0.65 = $4.25.


Two containers with some water are shown. All the water from the two containers was poured into an empty jug. The capacity of the jug was 2 ℓ. How much more water was needed to fill the jug completely? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> ℓ <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> ml

Each container holds 500 ml, so total water = 500 ml + 500 ml = 1000 ml = 1 ℓ. The jug holds 2 ℓ, so more needed = 2 ℓ − 1 ℓ = 1 ℓ, i.e. 1 ℓ 0 ml.


Jane used a piece of wire to form a rectangle and a square. The length of the rectangle was twice the length of the square. (a) Find the area of the square. (b) Find the length of the piece of wire Jane used. <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) The rectangle length (24 cm) is twice the square's side, so the square's side = 24 ÷ 2 = 12 cm. Area of square = 12 × 12 = 144 cm². (b) Wire = rectangle perimeter + square perimeter = (16 + 24 + 16 + 24) + (12 + 12 + 12 + 12) = 80 + 48 = 128 cm.


$9 per packet. Buy 1 packet and get 2 pens free. (a) Mdm Aishah needs 48 pens. What is the least amount of money she has to pay? (b) Sam has $46. What is the greatest number of pens he can get? <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 packet has 6 pens for $9, plus 2 free pens = 8 pens per packet for $9. (a) For 48 pens: 48 ÷ 8 = 6 packets; 6 × $9 = $54. (b) With $46: $46 ÷ $9 = 5 packets (remainder $1); 5 packets × 8 pens = 40 pens.


What is the missing number in the box?
3 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> 0 1 - 1 4 7 3 = 2 0 2 8

The subtraction is 3_01 - 1473 = 2028. Reverse it: 2028 + 1473 = 3501, so the missing digit (hundreds place) is 5. Answer: 5.


Gerry bought a plate of Nasi Lemak and a bowl of Laksa. She gave the cashier $20. How much change did she receive?
$<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Faith had $16. She bought two different dishes from the food stall. Which two possible dishes could she buy? How much did she spend?
Dishes: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />
Amount spent: $<input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Pick two different dishes whose total does not exceed $16. Fishball Noodles $7.30 + Nasi Lemak $7.80 = $15.10, which is within $16. Answer: Fishball Noodles and Nasi Lemak, $15.10.


The bar graph shows the types of burgers sold at a fast food stall.

How many beef burgers were sold in a week?

Read the height of the bar labelled 'Beef Burger' on the bar graph. It reaches 165, so 165 beef burgers were sold in the week.


The bar graph shows the number of visitors to the library in 5 days.

120 more people visited the library on Friday than on .

Friday had 680 visitors. 680 - 120 = 560 visitors, which matches Thursday on the graph. So 120 more people visited on Friday than on Thursday.


The bar graph shows the number of stamps that five girls collected.

(a) How many girls collected more than 50 stamps?
(b) How many more stamps did Su Mei collect than Rekha? <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) From the graph: Su Mei 80, Aisyah 32, Pamela 50, Rekha 48, Jane 60. Those above 50 are Su Mei and Jane, so 2 girls. (b) Su Mei collected 80 and Rekha collected 48, so 80 - 48 = 32 more stamps.


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


In the figure, which angle is an obtuse angle?

An obtuse angle is larger than a right angle (more than 90°). In the quadrilateral, angle b is the widest angle, greater than a right angle, so it is the obtuse angle.


Study the diagram. Name a pair of parallel lines.

Parallel lines never meet and stay the same distance apart. Lines AB and EF run in the same direction and do not cross, so AB // EF.


The graph shows the number of students in Classes 3A, 3B and 3C. Which class has more boys than girls?

Read the bars for each class. In Class 3A the Boys bar (about 24) is taller than the Girls bar (about 12), so Class 3A has more boys than girls. In 3B and 3C the girls' bars are taller.


The graph shows the number of students in Classes 3A, 3B and 3C. How many girls are there in Class 3C? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Read the Girls bar for Class 3C. The shaded (Girls) bar for 3C reaches the 16 mark, so there are 16 girls in Class 3C.


The graph shows the number of stickers 5 children collected. Who collected twice as many stickers as Aminah?

Aminah collected 40 stickers. Twice as many is 40 × 2 = 80. James collected 80 stickers, so James collected twice as many as Aminah.


The graph shows the number of stickers 5 children collected. How many stickers must Kelly collect so that she has the same number of stickers as Mary? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Mary collected 90 stickers and Kelly collected 50. Kelly needs 90 − 50 = 40 more stickers to match Mary.


A bakery is having a sale. For every 3 muffins a customer buys, he will get another muffin free. 3 muffins cost $5. Li Min has $5. How many muffins can Li Min get with all her money? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

With $5 Li Min buys 3 muffins, and the offer gives 1 free muffin. So she gets 3 + 1 = 4 muffins.


A bakery is having a sale. For every 3 muffins a customer buys, he will get another muffin free. 3 muffins cost $5. David wants to get 24 muffins for a party. How much must David pay to get 24 muffins? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Each $5 set gives 3 bought + 1 free = 4 muffins. To get 24 muffins he needs 24 ÷ 4 = 6 sets. Cost = 6 × $5 = $30.


Which of the following represents all the stars?

There are 3 boxes, each containing 6 stars (2 rows of 3). 3 groups of 6 = 6 × 3 = 18 stars. Answer: 6 × 3.


Dorothy pours all the water from the pail into bottles of the same size. What is the total volume of water in the pail?

There are 8 bottles, each holding 1 ℓ. Total = 8 × 1 ℓ = 8 ℓ.


The diagram shows the mass of 1 jar of cookies. What is the mass of 2 such jars of cookies? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> kg <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> g

The scale reads 1 kg 250 g for 1 jar (1250 g). 2 jars = 1250 × 2 = 2500 g = 2 kg 500 g.


Peter bought a camera. He paid the exact amount using the money shown. How much did the camera cost? $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Which of the following figures have more than 2 right angles?

Count right angles in each figure. (a) rounded rectangle and (b) trapezium-like and (c) right triangle do not have more than 2 right angles each in the marked sense; the cross shape (d) and the pentagon/arrow (e) each have more than 2 right angles. So the answer is (d) and (e) only.


Identify the pair of parallel lines in the figure.

On the square grid, trace the slope (rise over run) of each segment. AF and BC have the same direction and never meet, so they are parallel. The answer is AF // BC.


The bar graph shows Keith's scores for 4 subjects.
Which one of the following statements is true?

Read each bar. English about 85, Science about 65, Mathematics about 90, Mother Tongue about 88. (1) is false (Science is not highest). (2) Maths is about 90, not 92, false. (3) Three subjects exceed 80 (English, Maths, Mother Tongue), not exactly 2, so false. (4) Mother Tongue (about 88) is higher than English (about 85), true. Answer is option (4).


The bar graph shows the number of students in 3J who like different places of interest.
How many more girls than boys like Gardens by the Bay?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the horizontal bar graph, for Gardens by the Bay the Girls bar reads 8 and the Boys bar reads 3. Difference = 8 - 3 = 5. So 5 more girls than boys.


The bar graph shows the number of Primary 1 to 6 students in the Reading Club.
Which grade level has more boys than girls in the Reading Club?

For each level compare the Boys bar with the Girls bar. At P4 the Boys bar is taller than the Girls bar (the only level where boys exceed girls). Answer: P4.


In the figure, how many of the marked angles are obtuse angles?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

An obtuse angle is greater than a right angle (90 degrees) but less than 180 degrees. Examine each marked angle in the figure; 4 of them are obtuse. Answer: 4.


The figure is made up of 16 identical triangles.
What fraction of the figure is shaded? Express your answer in the simplest form.

There are 16 identical triangles in total and 4 are shaded. Fraction shaded = 4/16. Simplify by dividing top and bottom by 4: 4/16 = 1/4.


The bar graph shows the number of fruits sold by Grocer Pan.
How many apples and durians did Grocer Pan sell in total?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

From the bar graph, apples = 40 and durians = 35. Total = 40 + 35 = 75.


The bar graph shows the number of storybooks that the children read in December. How many books did Raj and Shanti read altogether?

Read the bar graph: Raj read 15 storybooks and Shanti read 4 storybooks. Total = 15 + 4 = 19.


How many acute angles are there inside the figure?

The arrow-shaped figure has a notch on the left and a point on the right. The two angles at the left notch are acute (smaller than a right angle), giving 2 acute angles.


Which of the following shows that 1/4 of the figure is shaded?

Compare shaded part to whole in each option. Option 4 (the rhombus split into equal triangles) has exactly one quarter of its equal parts shaded, so it shows 1/4.


The figure is made up of equal squares. Henry wants to have 2/3 of the figure shaded. How many more squares does he need to shade?

The strip is made of 12 equal squares. 2/3 of 12 = 8 squares must be shaded. One square is already shaded, so he needs to shade 8 − 1 = 7 more squares.


The diagram shows lines on a square grid. Which of the following is true?

AB slopes one way and AG slopes the opposite way; at point A they meet to form a right angle, so AB is perpendicular to AG (AB ⊥ AG).


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.


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.


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


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.


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.


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.


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


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 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.


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.


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


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


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


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.


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).


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


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.


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).


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


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.


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


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.


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


(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.


(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.


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


(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.


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


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


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


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


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


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.


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.


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.


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.


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.


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.


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.


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


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).


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.


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


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.


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


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


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


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


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).


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


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.


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


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.


(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 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.


(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.


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


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


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.


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


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


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


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.


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.


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.


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


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


(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) 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.


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


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


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.


(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.


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.


(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.


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.


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.


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


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.


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


(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.


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.


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.


Each figure adds 3 sticks: 4, 7, 10, 13, 16, 19, 22. Figure 7 = 22.


(a) Pupil A's bar reads 614 m. (b) Pupil D = 510 m = twice Pupil E, so Pupil E = 510 ÷ 2 = 255 m.


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.


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


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.


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.


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


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.


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.


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


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


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


The cup shows 260 ml. 260 x 6 = 1560 ml.


Mira read 12 books. 3 more than 12 is 15, which is Kumar. (Part (a): Nora read the most with 18.)


Number of families = 35 / 5 = 7. Seaweed = 7 x 7 = 49 packets.


Pattern adds 4 each figure: shaded = 4 x figure + 4. (a) Figure 6 = 4 x 6 + 4 = 28. (b) 52 = 4 x n + 4, so n = 12.


The octagon sits on a 6 by 6 grid (36 cm²) with four corner half-squares cut off (4 x 2 = 8 cm²). 36 - 8 = 28 cm².


Total 5375 m - 2225 m = 3150 m for the remaining two legs. 3150 m - 1750 m = 1400 m = 1 km 400 m.


Clock reads 7:42. That is 18 minutes to 8.


Friday = 6 symbols x 4 = 24; Thursday = 2 symbols x 4 = 8. Difference = 24 - 8 = 16.


a) At least 4 hours = 4 hours (16) + more than 4 hours (8) = 24. b) More than 1 but less than 4 = 2 hours (34) + 3 hours (22) = 56.


Each chair is 30 cm wide; 57 chairs = 57 x 30 = 1710 cm. Gaps between chairs = 57 - 1 = 56, each 1 m = 100 cm, so 56 x 100 = 5600 cm. Total = 1710 + 5600 = 7310 cm.


Microwave oven costs $150, so $250 - $150 = $100 left for mugs ($8 each) and plates ($10 each). 10 mugs ($80) + 2 plates ($20) = $100, and plates (2) are fewer than mugs (10), so she bought 2 plates.


Rule: bottom-right = (top-left × top-right) − bottom-left. For 5,8 / 5,? : 5 × 8 = 40, 40 − 5 = 35.


Figure A is an octagon-in-square pattern whose shaded area equals a fixed number of unit squares (corner triangles each combine to half-squares). Counting whole + paired half squares gives the area; only option (1) matches that count.


Count the fully shaded unit squares and combine the shaded triangular half-squares into whole squares. The shaded arrow/cross shape totals 11 cm².


Area of the square = 6 × 6 = 36 cm². Cut into two equal rectangles, so each = 36 ÷ 2 = 18 cm².


The figure is a step shape made of two identical rectangles. Using the equal-rectangle property with the marked 14 cm, 2 cm and 8 cm, work out the length of every edge and trace once around the outline; the boundary edges add up to 52 cm.


The 5-pointed star has 10 equal sides, each 4 cm. Perimeter = 10 × 4 = 40 cm.


Perimeter of rectangle = 7 + 7 + 11 + 11 = 36 cm. The square has the same perimeter, so each side = 36 ÷ 4 = 9 cm.