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Name: Date:

Paper 1: Booklet A

Questions 1 to 10 carry 1 mark each. Questions 11 to 15 carry 2 marks each.

Choose the correct answer and write its number in the brackets provided.
All diagrams are not drawn to scale. The use of calculators is not allowed. (20 marks)
______________________________________________________________________________

1. Multiply 30 by w, then subtract 11 from the product. The result is __________.

(1) 11w – 30 (2) w – 330 (3) 11 – 30w (4) 30w – 11

30  w = 30w
30w – 11 = 30w – 11
Ans: (4)

2. Which of the following fractions is the nearest to 1?

1 2 1 7
(1) (2) (3) 1 (4)
3 5 4 6

1
= 0.333… (Difference = 0.666…)
3
2
= 0.4 (Difference = 0.6)
5
1
1 = 1.25 (Difference = 0.25)
4
7
= 1.166… (Difference = 0.166…)
6
Ans: (4)

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3𝑟 − 5
3. What is the value of + 6r when r = 7?
4
(1) 46 (2) 52 (3) 58 (4) 62

37−5 21 − 5
+67= + 42
4 4
16
= + 42
4
= 4 + 42
= 46
Ans: (1)

4. Arrange the following from the heaviest to the lightest.

2
5 kg 85 g 5 kg 5.55 kg
3
2 2
(1) 5 kg, 5 kg 85 g, 5.55 kg (2) 5 kg, 5.55 kg, 5 kg 85 g
3 3
2 2
(3) 5 kg 85 g, 5 kg, 5.55 kg (4) 5.55 kg, 5 kg, 5 kg 85 g
3 3

5 kg 85 g = 5085 g
2
5 kg = 5666.666… g
3
5.55 kg = 5550 g
2
Heaviest to lightest: 5 kg, 5.55 kg, 5 kg 85 g
3
Ans: (2)

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5. Find the missing number. ? : 4 = 15 : 6.

(1) 5
(2) 10
(3) 11
(4) 13 (2)

2
6. Express 3 as a decimal, giving your answer correct to 2 decimal places.
7

(1) 3.28
(2) 3.29
(3) 3.30
(4) 3.27 (2)

7. Find the area of the triangle.

8 cm
6 cm

13 cm

(1) 24 cm2
(2) 52 cm2
(3) 39 cm2
(4) 48 cm2 (3)

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8. Which of the following ratios is the same as 3 : 9.

(1) 1:2
(2) 1:5
(3) 2:7
(4) 2:6 (4)

9. Mr Tan gave 240 apples to 3 of his students in the ratio 1 : 4 : 7. How many apples
did the student with the most apples get?

(1) 20
(2) 80
(3) 120
(4) 140 (4)

10. Mary bought green and red beads in the ratio of 5 : 12. If she bought 60 green beads,
how many more red beads than green beads did she buy?

(1) 12
(2) 14
(3) 72
(4) 84 (4)

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1 2
11. of the people at a funfair were children and the rest were adults. of the adults
4 9
were women. What fraction of the people at the funfair were women?

1
(1)
3
1
(2)
4
1
(3)
6
1
(4) (3)
12

12. Find the missing number in the sequence.

19 203, 29 406, _________, 49 812

(1) 39 609
(2) 48 609
(3) 39 507
(4) 39 600 (1)

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1 2
13. Jacob has 540 cups. He gave of them to his sister and of the remainder to his
4 9
brother. How many cups did Jacob have left?
1 3
1– =
(1) 30 4 4
(2) 90 2 3 1
× =
(3) 105 9 4 6

(4) 315 1 1 7 (4)

1– – =
4 6 12
7
× 540 = 315 (Ans)
12
14. Catherine has twice as much money as Annie. Ben has thrice as much money as
Catherine. If Annie and Ben have $350 in total, how much money does the 3
children have altogether?
Catherine → 2 units; Ben → 6 units; Annie → 1 unit
(1) $50
(2) $100 7 units → $350
(3) $400 1 unit → $350 ÷ 7 = $50
(4) $450 9 units → 9 × $50 = $450 (Ans) (4)

15. Find the area of the shaded part.

Area of rectangle = 10 cm × 6 cm
10 cm
= 60 cm2
1
Area of triangle A = × 3 cm × 6 cm
2
6 cm
= 9 cm2
A
B 1
Area of triangle B = × 2 cm × 3 cm
2
3 cm 2 cm
= 3 cm2
(1) 12 cm2 Area of shaded part → 60 cm2 – 9 cm2 – 3 cm2
(2) 48 cm2 = 48 cm2 (Ans)
(3) 60 cm2
(4) 72 cm2 (2)

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Paper 1: Booklet B

Questions 16 to 20 carry 1 mark each. Questions 21 to 30 carry 2 marks each.

The use of calculators is not allowed. (25 marks)
______________________________________________________________________________

2 3
16. Find the fraction that is halfway between and .
7 7
2 4 3 6
 , 
7 14 7 14
5
Ans: (Ans)
14
Ans : _____________

17. Express 21 ones, 1 tenths and 10 thousandths as a decimal.

21.11 (Ans)

Ans : _____________

18. Hui Leng bought 4 ring files and gave the cashier $50. She received $a as
change. Find the cost of each file in terms of a.

 50  a 
$  (Ans)
 4 

Ans : _____________

11
19. The total length of 3 ribbons is m. What is the average length of 1 ribbon?
12
11 11 1
3  
12 12 3
11
 m
36

Ans : _____________

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20. Find the missing number in the box below.

50 – (_______ ÷ 3 + 10) = 30
________ ÷ 3 + 10 = 20
________ ÷ 3 = 10
________ = 30 (Ans)

Ans : _____________

21. Timothy and Bryan had the same amount of money at first. After Timothy spent $53
and Bryan spent $17, Bryan had thrice as much money as Timothy. How much
money did each of them have at first?
$53 – $17 = $36
2 units = $36
1 unit = $36 ÷ 2
= $18
$18 + $53 = $71 (Ans)

Ans : _____________

1 1
22. Mr Tan gave of his salary to his wife and of his remaining salary to each of his
3 5
2 sons. What fraction of his salary did Mr Tan give away? Leave your answer in the
simplest form.
1 2
1 
3 3
1 2 2
 
5 3 15
1 2 2 9
  
3 15 15 15
3

5
Ans : _____________

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3 1 3
23. Samuel has kg of flour. He used kg of flour and of the remainder to bake
5 2 5
some cookies. How much flour did he have left?
3 1 1
 
5 2 10

2 1 1
  kg (Ans)
5 10 25
Ans : _____________

24. Abby, Bryan and Carl received some money from their parents. The ratio of the total
amount of money Abby and Bryan received to the total amount of money that Bryan
and Carl received was 9 : 16. Abby received twice as much money as Bryan. Find
the fraction of the amount of money Carl received to the total amount of money
received by the 3 children.

Abby : Bryan : Carl

2×3 1×3
6 3 13

9 16

6 units (Abby) + 3 units (Bryan) + 13 units (Carl) = 22 units

13
(Ans)
22

Ans : _____________

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25. The solid below is made up of five 2 cm cubes. Sheryl painted the entire solid with
pink paint. What area of the figure is covered in pink paint?

Total number of faces painted pink = 5 + 5 + 3 + 5 + 4 = 22

Area of 1 face = 2 x 2 = 4 cm²
Total area painted pink = 4 x 22 = 88cm²

Ans : _____________

26. May is x years old now. May is twice as old as Peter. What is Peter’s age 6 years
from now? Give your answer in terms of x.

x
Peter’s age =
2
x
Peter’s age 6 years from now = ( + 6) years old
2

Ans:________________

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27. Four pipes of diameter 7 cm are held tightly together by a metal band as shown in
22
the diagram below. How long is the band? (Take π = )
7

22
 7  22
7
22 + 4 × 7 = 50

Ans: 50 cm
Ans:__________________

8 1
28. Mrs Tan had of a pizza. Each person ate of a pizza until there is not enough
9 3
pizza for another person. What fraction of the pizza was left?

8 1

9 3
8
 3
9
8

3
2
2
3
2 1 2
  (Ans)
3 3 9

Ans:______________

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29. If today is Wednesday, what day would it be after 100 days?

100  7 = 14 r 2
2 days after Wed  Friday (Ans)

Ans:________________

30. In the figure below, not drawn to scale, STUV is a rhombus and BTC is a right
angled triangle. BC is parallel to AD and BCU is 52, find VST.

BTU = 180 – 90 – 52 = 38

180 - (38 × 2) = 104

Ans:________________

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Paper 2 (You can use a calculator)

Questions 1 to 5 carry 2 marks each. (Total 10 marks)

(1) Two identical rectangular plank was nailed together to form the figure below. The
overlapped portion is 28 m long. Find the length of one piece of plank before it
was nailed together.

(150 - 28)  2 = 61
61 + 28 = 89 m

Ans: __________________

(2) Cheryl and Benjamin had the same number of pen at first. Cheryl gave away 120
2
pens and Benjamin gave away of his pens. In the end, the ratio of pen
3
Cheryl’s left to the number of pens Benjamin left is 2:1. How many pens did
Cheryl has left in the end?

3u – 2u = 1u
1u = 120
2u = 240 pens

Ans: _______________

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(3) Tringle ABC and Triangle DEF are identical triangles. They overlapped each
other to form 6 identical triangles as shown below. The area of the shaded part is
90cm² and the total area of the unshaded parts is 96 cm 2. Find the area of the
triangle ABC.

96  6 = 16
16 x 3 = 48
48 + 90 = 138cm²

Ans: _________________

(4) Tim had some bags of paper clips. The average number of paper clips in each
bag was 146. After Tim added another bag containing 128 paper clips, the
average number of paper clips in each bag became 143. How many bags of
paper clips were there after the new bag was added?

146 – 143 = 3
15 ÷ 3 = 5
5 + 1 = 6 bags

Ans: ________________

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(5) Fran has some chocolates. If she gives each of her camp mates 7 chocolates,
the last camp mate will only have 2 chocolates. If she gives to the same number
of camp mates 4 chocolates each, she will have 73 chocolates left. How many
camp mates does Fran have?

7–2=5
73 + 5 = 78
7–4=3
78  3 = 26 camp mates

Ans: ____________

For questions 6 to 17, show your working clearly in the space provided for each
question and write your answer in the space provided.
The number of marks available is shown in the brackets ( ) at the end of each
questions or part-questions. (Total 45 marks)

(6) Max cake shop sells Double Chocolate muffins at $4.50 each and Strawberry
muffin at $3.90 each. Leslie bought both muffins for his class party. He paid a
total of $308.40 for 74 muffins. How many Double Chocolate Chips muffins did
Leslie buy?

Assume 74 strawberry muffins

$3.90 × 74= $288.60
$308.40 - $288.60 = $19.80
$4.50 - $3.90 = $0.60
$19.80  $0.60 = 33 Double Chocolate muffins

Ans: ____________ (3m)

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(7) Channel sold some keychains over a period of time. Each day, he sells (a + 1)
more keychains than the day before. He sold 25 keychains on the 1st day.
(a) How many keychains did he sell on the 4th day? Give your answer in terms of
a in the simplest form.
(b) On which day would he have sold (77 + 52a) keychains?

(a) 1st day 25,

2nd day = 25 + a + 1= 26 + a
3rd day = 26 + a + a + 1 = 27 + 2a
4th day = 27 + 2a + a + 1 = (3a + 28) keychains

(b) 25 + 52 × (a + 1) = 25 + 52a + 52 = 77 + 52a

Day 53

Ans:_(a)_______________(1m)

(b) ______________(2m)

(8) The length of a rectangle is increased by 35% and its breath is increased by 40%.
What was the percentage increase in area?

1.35 × 1.4 =1.89

1.89 - 1 = 0.89

0.89 × 100% = 89%

Ans: _________________(3m)

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(9) The first 15 numbers of a pattern are given below.

8, 2, 6, 3, 8, 2, 6, 3, 8, 2, 6, 3, 8, 2, 6, …
(a) What is the 579th number?
(b) What is the sum of the first 577 numbers?

(a) The pattern repeats after every 8, 2, 6, 3.

Number of numerals in each set = 4
Number of sets = 579  4
= 144 R 3
3rd number in the set = 6
579th number = 6 (Ans)
(b) Number of sets = 577  4
= 144 R 1
1st number in the set = 8
577th number = 8
Sum of each set = 8 + 2 + 6 + 3
= 19
Sum of the first 577 numbers = 144  19 + 8
= 2744 (Ans)

Ans: (a) _______________ [1]

(b) _______________ [2]

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(10) The diagram below is a rhombus divided by 3 straight lines into 6 parts. Find the
sum of a + b

360 - 264 = 96

x = (180 - 96)  2 = 42 (base angles in an isosceles

triangle)
x =y = 42
w = 112 (vertically opposite angles)
a + b = 360 - 42 - 112 = 206 (Angles in a
quadrilateral)

Ans: _________________(3m)

(11) Three circular wheel of diameter 40cm, 60cm and 80cm respectively are placed
along identical path as shown in the diagram. They were pushed and started to roll
at the same time. What is the total distance covered by the 3 wheels when the spot
marked ‘x’ on the three wheels next touched the path at the same time? Give your
answer to one decimal place in metres. Let π = 3.14.

L.C.M of 40, 60 and 80 = 240

3 × 3.14 × 240 cm = 2260.8 cm
= 22.6 m (1 decimal place)

Ans: ______________ (3)

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(12) The figure below is made up of 3 semi-circles and a circle. B is the centre of the
large semi-circle and AC is 46 cm. Find the area of the shaded part. Express your
answer in 2 decimal places. (Take π = 3.14)

Ans: ____________________(4m)

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(13) An empty tank was filled with water with taps A and B. Tap A can fill the tank in 9
minutes while Tap B can fill the tank in 5 minutes.
(a) With both Tap A and B turned on, what fraction of the tank will be filled in 1 minute?
(b) Starting with an empty tank, Tap A was turned on for 2 minutes before Tap B was
turned on. How long in total would it take to fill the tank to its brim? Give your
answers in minutes.

(a) 1⁄5 + 1⁄9 = 𝟏𝟒⁄𝟒𝟓

(b) 1⁄9 × 2 = 2⁄9

1 - 2⁄9 = 7⁄9
7⁄  14⁄ = 2.5 minutes
9 45
2.5 + 2 = 4.5 minutes

Ans: (a)_______________(1m)
(b) _______________(3m)
(14) At a sports equipment shop, basketballs are sold at 3 for $80, tennis balls are sold
at 4 for $30. The Physical Education (PE) department of a school bought an equal
number of basketballs and tennis balls and spent $690 more on the basketballs
than on the tennis balls. How many basketballs did the PE department buy?

L.C.M of 3 and 4 = 12
12 basketballs  $80 × 4 = $320
12 tennis balls $30 × 3 = $90
Difference  $320 - $90 = $230
$690  $230 = 3
3 × 12 = 36 basketballs

Ans: _______________(4)

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(15) There are 2 tanks of different dimensions. Tank A is 15cm by 20cm by 21cm and is
empty. Tap A which flows at a rate of 0.6 litres per minute was attached to it. Tank
B is 20cm by 18cm by 15cm and is filled to its brim. Tap B which drains water at a
rate of 1.08 litres per minute and was attached to Tank B. Both taps are turned on
at the same time. After some time, the heights of the water level in both tanks
became the same.
(a) Find the time taken for the heights of the water level to be the same in both tanks.
(b) Find the height of the water level at that point of time.

Ans: 3 min
(b) 3 × 2 = 6 cm

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Ans: (a)_______________________(3m)

(b) ____________________(2m)

16. Sarah needs to cut 100 pieces of heart shape cut-outs using the dimensions
shown in the figure. Each cut-out is made up of 2 identical semicircles and 2
identical quadrants.

(a) What is the total area of all the heart shape cut-outs?
(b) Coloured papers are sold in dimensions of 1 m by 1 m. What is the minimum
number of pieces of coloured papers Sarah needs to buy?
Take π = 3.14.

(a) Radius of each quadrant = 24  2

= 12 cm
Radius of each semicircle = 18 – 12
= 6 cm
1
Area of each quadrant =  3.14  12  12
4
= 113.04 cm2
1
Area of each semicircle =  3.14  6  6
2
= 56.52 cm2
Area of all the heart shape cut-outs = 100  (2  113.04 + 2  56.52)

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= 33 912 cm2 (Ans)

(b) 1 m = 100 cm
100  18 = 5 R 10 cm
100  24 = 4 R 4 cm
Number of cut-outs from each coloured paper
=54
= 20
Minimum number of coloured paper Sarah needs to buy
= 100  20
= 5 (Ans)

Ans: (a)_______________________(3m)

(b) ____________________(2m)

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10. Shannon received $500 salary for her part-time job every month. In 2018, her
salary increased by 15%. In January 2018, she increased her spending by 100%
and decreased her savings by 25%.
(a) What was Shannon’s salary in 2018?
(b) What was her monthly spending in 2017?

(a) Shannon’s salary in 2018 = 115%  $500

115
=  $500
100
= $575 (Ans)

(b) 2017 : 2018

Spending 100% : 200%
1 unit : 2 units
Savings 100% : 75%
4 parts : 3 parts

1 unit + 4 parts = $500 ⇒ 3 units + 12 parts = $1500

2 units + 3 parts = $575 ⇒ 8 units + 12 parts = $2300
(8 – 3 =) 5 units = $2300 – $1500
= $800
1 unit = $800 ÷ 5
= $160
Monthly spending in 2017 = $160 (Ans)

Ans: (a)_______________________(1m)

(b) ____________________(4m)

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