Outreach p5-math@

Primary 5 Mathematics
Ace The Exams with
My 24/7 Personal Tutor
Detailed Explanation of ALL Questions
by Tutor in Virtual Classroom
Consulting Editor: Dr Zhang Yong

© Outreach Edusys Pte Ltd
ALL RIGHTS RESERVED. No part of this book and the
accompanying CDROM may be reproduced or transmitted in
any form or by any means, electronic or mechanical,
including photocopying, CD duplication, replication, or by any
information storage and retrieval system, without
permission in writing from the Publisher.
i i
First Published 2010
ISBN: 978-981-4275-16-3
Published by:
Outreach Edusys Pte Ltd
(CRN: 200006571H)
Distributed by:
Outreach System Pte Ltd
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Singapore 367956
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Preface
This book is written to assist pupils in preparing for the Primary 5 Math
examinations. There are a total of 10 specially crafted examination style
papers. The main features of the papers are as follows.
1. Questions are modeled after examination papers set by top well known
ii i
Singapore schools.
2. Questions are crafted to highlight common misconceptions in each of
the topics.
This book comes with a multimedia CDROM. The CDROM contains detailed
explanation of each question in each paper by our teacher. These lessons
ensure pupils understand the methods behind solving each question.
Outreach Book Alive series brings the “tuition teacher” to you at zero cost.
You may also want to try our online programme. These are interactive
“diagnostic” modules consisting of multiple choice questions. The incorrect
options to each question are carefully crafted using specific mis-conception
in learners. If your child submit a wrong answer, our system will dynamically
diagnose your child’s problem and bring him/her an explanation on why he/she
is wrong, and what is the correct way to the solutions of such questions.
Visit http://www.orlesson.org today.

Contents
Semestral Assessment 1 Mock Paper 1 Paper 1
iv
Paper 2
1
8
Paper 2
15
23
Paper 2
30
38
Paper 2
45
53
Paper 2
60
67
Paper 2
74
80
Paper 2
88
94
Paper 2
101
108
Paper 2
115
122
Semestral Assessment 2 Mock Paper 5
Paper 1
Paper 2
129
137
Suggested Answers 144
Free Past Year School Exam Papers (from 2004 onwards) for download and
print.
Visit http://www.orlesson.org for links and download instructions.
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Semestral Assessment 1: Mock Paper 1
Paper 1 (Duration: 50 mins)
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each
question, write the number corresponding to the correct option in the bracket provided.
1. Fill in the blank with an appropriate number that matches the pattern
______, 900 000, 800 000, 700 000
(1) 10 000 (2) 100 000
(3) 1 000 000 (4) 10 000 000
3 of the set below shaded, how many more squares must be
1
( )
2. How many quarters are there in 3
1 ?
2
(1) 3 (2) 5
(3) 10 (4) 14
( )
3. In order to have
5
shaded?
(1) 9 (2) 8
(3) 7 (4) 6
( )
4. Find the value of 24 + 48 ÷6 – 6
(1) 6 (2) 22
(3) 26 (4) 36
( )
5. What is the correct numeral for the following statement?
Six hundred and six thousand, six hundred and sixty six
(1) 606 606 (2) 606 666
(3) 666 606 (4) 660 660 ( )

6. How many lines of symmetry are there in this letter?
2
I
(1) 4 (2) 3
(3) 2 (4) 1
( )
7. If the product of 124 and 19 is calculated and rounded off to the nearest hundred,
what will be the final value?
(1) 2000 (2) 2300
(3) 2400 (4) 2360
( )
8. A car can travel 9 230m with 1l of fuel. 300l of fuel was consumed in a month. How
many kilometers did the car travel in that month?
(1) 2 769 (2) 27 690
(3) 276 900 (4) 2 769 000
( )
9. Mary’s weight is 27kg. She is 3
5
as heavy as David. How much does David weigh?
(1) 15 kg (2) 45 kg
(3) 54 kg (4) 84 kg
( )
10. Two numbers have a difference of 72 and a sum of 166. Find the bigger number.
(1) 138 (2) 119
(3) 94 (4) 49
( )
11. Sarimah bought 3 1
2
kg of flour. She then used 15
8
kg to bake cakes. After that, her
mother gave her another 11
4
kg of flour. How much flour did she have eventually?
(1) 3 7
8
kg (2) 31
8
kg
(3) 2 1
4
kg (4) 17
8
kg ( )
12. Caroline has 6 times as many stickers as Denise, but only half as many as Rachel
has. If Denise has 154 stickers less than Rachel, how many stickers does Caroline
have?
(1) 14 (2) 77
(3) 84 (4) 160
( )

13. Examine the pattern below carefully. How many sticks are there in the 18th pattern?
Pattern 1 Pattern 2 Pattern 3 Pattern 4 Pattern 18
(1) 37 (2) 47
(3) 57 (4) 67
3
( )
14. Find the smallest value among the following expressions
(1) 0.80 (2) 17
20
(3) 3
4
(4) 0.69
( )
15. In the figure below, ∠ AOB = 93o. What is ∠BOC? Note that AOC is a straight line
and the figure is not to scale.
O
93o A
(1) 3o (2) 87o
(3) 90o (4) 273o
( )
Questions 16 to 25 carry 1mark each. Write your answers in the spaces provided. For
questions which require units, give your answers in the units stated.
16. Write 9 080 011 in words.
17. Arrange these numbers in descending order.
8 883 008, 880 300, 8 880 003, 88 380
Ans: __________, __________, __________, __________
B
C
?

4
18. What is the correct value of A?
Ans: _____________________
19. Find the total of the first 6 multiples of 7
Ans: _____________________
20. Express
49 as a mixed number
9
Ans: _____________________
21. Calculate
5 x108
9
Ans: _____________________
7 503 906
7 000 000
A
3 906
3 000
900
6

1 and simplify your answer.
5
22. Calculate 3
2 +2
5
2
Ans: _____________________
23. What is the proportion of the shaded area compared to the whole square? Write the
answer in fraction.
Ans: _____________________
24. Find the largest possible odd number between 5 000 000 and 6 000 000 using all the
digits given.
9 0 1 7 2 6 5
Ans: _____________________
25. Write the following statement as a numeral
Three million one hundred and forty-seven thousand six hundred and eighty-two
Ans: _____________________

Questions 26 to 30 carry 2 marks each. Show your working clearly in the space below
each question and write your answers in the spaces provided. For questions which require
units, give your answers in the units stated.
26.
Mr. Ben chose a sofa set that cost $5 250. He paid the exact amount in 90 pieces of
$100 and $50 notes. How many $50 notes did the cashier receive from Mr. Ben?
1 of these nails to his colleague and used
6
Ans: _____________________
27. 10 tables and 20 chairs cost $650.
20 tables and 10 chairs cost $850.
What is the cost of one table and one chair?
Ans: _____________________
28. Mr. Tan, a worker, had 850 long nails, 620 short nails and 930 medium nails in a
container. He gave
4
1 of these nails to
12
make tables. How many nails did he have left?
Ans: _____________________

29. An oil producer is filling two empty barrels with oil. The first barrel fills at a rate of
90l per minute. After 1 minute, he starts filling the second barrel at a rate of 105l per
minute. How many minutes will it take for the second barrel to contain the same
amount of oil as the first barrel?
7
Ans: _____________________
30. Mary and John were given the same amount of money by their mother. After
spending some of their money, Mary only has one-seventh as much money as John
had. If John spent $1 572 and Mary spent $2 892, how much did each of them have
at first?
Ans: _____________________

Paper 2 (Duration: 1 hr 40 mins)
Questions 1 to 5 carry 2 marks each. Show your workings clearly in the space below each
question and write your answers in the space provided. For questions which require units,
give your answers in the units stated.
1. In a donation drive, team A and team B collected a total of $12 795. Team C and
team D collected a total of $17 245. Team A and team C collected the same amount
of money. Team D collected 6 times as much money as team B. How much money
did team D collect?
8
Ans: _____________________
2. A shop is selling gloves for Christmas.
3 of the pairs are red,
8
1 of the pairs are
4
white and the remaining 114 pairs are dark blue. How many pairs of gloves does the
shop have in total?
Ans: _____________________
3. 1 kg of pork cost $2 more than 1 kg of chicken. 1 kg of beef cost $3 more than 1kg
of pork. Aunt Linda spent a sum of $99.60 on 6 kg of each type of meat. How much
did she spend on the chicken and the beef?
Ans: _____________________

4. Cheese cakes are sold at $6.90 for 3. Curry puffs are sold at $5.20 for 4.
(a) If Timmy could only spend $25 on each type of food, how many more curry puffs
than cheese cakes could he buy?
(b) Bobby paid $129.60 for an equal number of cheese cakes and curry puffs. How
many cheese cakes and curry puffs did he buy altogether?
9
Ans: _____________________
5. Peter wants to send a parcel to his friend in Indonesia. At the post office, he finds the
following table which shows the postage rates:
Mass not over Postage
First 30g $1.00
Next 50g $1.70
Per additional step of 25g $0.35
How much does Peter have to pay if his parcel weighs 197g?
Ans: _____________________

For Questions 6 to 18, show your workings clearly in the space provided for each
question and write your answers in the spaces provided. The number of marks awarded is
shown in brackets at the end of each question. (50 marks)
6. Given that AB is a line of symmetry in the figure below. Shade the squares to
1 0
complete the symmetric figure
Ans: _____________________[4]
7. The average number of Peter’s stickers and Jordan’s stickers is 924. Peter has 232
more stickers than Jordan. Albert has 172 stickers more than Peter. What fraction of
Albert’s stickers are Jordan’s stickers? Write your answer in its simplest form
Ans: _____________________[4]

8. Three years from now Dan’s father’s age will be thrice Dan’s age. How old is Dan’s
father now if he was 34 years old when Dan was born?
1 1
Ans: _____________________[4]
9. The houses along a road are numbered from 1 to 150. The house number signs are
made of steel digits. How many digits are needed altogether to number the entire
road?
Ans: _____________________[4]
10. Find the perimeter of the figure below.
Ans: _____________________[4]
5 cm
8 cm
13 cm
36 cm
9 cm
7 cm
4 cm
A
B
5 cm

11. A shop sells carpets at $15 per square meter. Uncle Tay wants to buy a carpet for his
living room, which is 10m by 7m. How much does he have to pay?
1 2
Ans: _____________________[4]
12. When 60 packs of cookies are placed in a box, the total mass is 6 790g. When the
same box contains 25 packs of cookies, the mass is 4 655g. Find the mass of the box
in kg.
Ans: _____________________[4]
13. Each tourist has to pay $1 215 for a 5-day tour to Vietnam. If there were 116 tourists
who chose that tour last month, how much did the travel agency receive?
Ans: _____________________[3]

14. Create a tessellation in the space provided by drawing 4 more unit shapes.
1 3
Ans: _____________________[4]
15. Alex, Ben and Carl collected a total of 2 151 stamps. Alex collected 224 stamps
fewer Carl. Ben’s collection was 3 times as many as Carl’s. How many stickers did
Carl have?
Ans: _____________________[4]
16. How many lines of symmetry are there in the figure below, given that all line
segments are equal
Ans: _____________________[3]

17. A water tank 90 cm long, 40 cm wide and 15 cm high needed to be filled by two taps
A and B. Tap A, which had a flow rate of 12l per minute, was turned on first. After
11 minutes, tap B, which can flow only
2
1 4
1 as fast as tap A, was turned on and both
3
tap continued to fill the tank. Since both taps were turned on, how long did it take to
fill the tank completely? Express your answer in minutes and seconds.
Ans: _____________________[4]
18. A number of trees were planted around the perimeter of a rectangular parcel of land
that was 49m long and 35m wide. There was a tree in each corner. On each side of
the land trees were planted 7m apart. How many trees were there in total?
Ans: _____________________[4]

Marks
1. 76 x 50 can also be expressed as
(1) 70 x 6 x 5 (2) 7 x 6 x 5 x 10
(3) 76 x 5 x 10 (4) 70 x 6 x 5 x 10
1 5
( )
2. Calculating 196 x 68 and rounding off to the nearest thousand, the result will be
(1) 13 000 (2) 13 300
(3) 13 400 (4) 14 000
( )
3. What is the best estimate of 635 ÷ 80?
(1) 6.35 (2) 63.5
(3) 8 (4) 7.5
( )
4. What is the value of 183 – 24 ÷ 3 x 4 + 12
(1) 139 (2) 163
(3) 224 (4) 712
( )
5. What value should be filled in the box to make the expression correct?
6.5 x 6 + x 3 = 78
(1) 13 (2) 14
(3) 39 (4) 41
6. Replace “?” with a correct number that fits the pattern below
0.7, 1.4, 0.8, 1.3, ___?___, 1.2
(1) 0.6 (2) 0.9
(3) 1.7 (4) 2.1
( )

7. MNPQ is a trapezium. Which of the following shows a parallel pair of lines?
M W T X N
Q P
(1) MQ and XY (2) WZ and XY
(3) WZ and YT (4) MQ and WZ
2 kg of meat. Aunt Irene bought
8 (2)
34 (4)
1 6
( )
8. Aunt Sophie bought
5
4 kg of meat more than aunt
7
Sophie. How many kg of meat did both of them buy?
(1)
35
22
35
(3)
35
113
35
( )
9. Find one of the letters below that does not have any line of symmetry
(1) T (2) H
(3) A
(4) Z
( )
10. Muthu had 25 kg of sugar. He packed them equally into 7 bags. There was 2kg of
sugar left over. How much sugar was there in each bag?
(1) 3.28 kg (2) 3.29 kg
(3) 3.57 kg (4) 3.58 kg
( )
Z Y

11. The graph below shows the number of customers visiting a shopping centre over a
period of 5 months.
How many customers visited the shopping centre from January to March?
1 (2)
9 (4)
1 7
4000
3500
3000
2500
2000
1500
1000
500
0
January February March April May
(1) 7 200 (2) 7 300
(3) 7 400 (4) 7 500
( )
12. A tank measures 45 cm by 30 cm by 10 cm is filled with 4.5l of water. What fraction
of the tank is not filled?
(1)
3
2
3
(3)
13
4
13
( )
13. In 147 683, which digit is in the ten thousands place?
(1) 1 (2) 4
(3) 6 (4) 3
( )
14. 4 ten thousands + 4 thousands + 4 hundreds + 4 ones =?
(1) 40 400 (2) 40 004
(3) 44 404 (4) 44 440
( )

15. Find the correct numeral for the following expression
Three hundred and three thousands, three hundred and three
(1) 303 303 (2) 330 330
(3) 330 303 (4) 333 000
Questions 16 to 25 carry 1 mark each. Write your answers in the spaces provided. For
16. Given that MN is the line of symmetry of the figure below, shade two more squares
2 that of an adult ticket. Mrs. Lim and her
1 8
to complete the figure.
17. A child ticket to enter the zoo costs
5
daughter paid $49 for their tickets. How much does a child ticket cost?
Ans: _____________________
18. The price of a car is $180 000 when rounded off to the nearest $1 000. What could
the lowest price of the car be? Provide your answer correct to the nearest dollar.
Ans: _____________________

19. Form the biggest even number using all the digits given
3, 6, 9, 5, 1, 2
1 of his money on a shirt and
1 of the audience were children and the rest were adults. There were
1 9
Ans: _____________________
20. Tony spent
4
3 of the remaining money on a pair of
5
jeans. What fraction of his money did he spend? (Use the simplest form for your
answer).
Ans: _____________________
21. At a concert,
5
144 more adults than children. How many people were there in the audience?
Ans: _____________________
22. What is the area of the triangle below?
Ans: _____________________

7 of a cake to her 3 children to share. Each child had the same
14 32
+ + + in decimal form.
2 3 times the number of stamps that Alex has. What is the ratio of the
2 0
23. Mrs. Chan gave
9
portion. What fraction of the cake did each child get?
Ans: _____________________
24.
Express the value of
1000
5
8
10
100
Ans: _____________________
25. Fann has
5
number of Alex’s stamps to Fann’s stamps?
Ans: _____________________
Questions 26 to 30 carry 2 marks each Show your working clearly in the space below
units, give your answers in the units stated. (20 marks)
26.
In the space provided, construct a line PQ that is perpendicular to line MN
M
N

27. There are 4 teams in the Federation Cup tournament. Every team has to play one
match with each of the other teams. How many matches are there in the tournament?
2 1
Ans: _____________________
28. Selina started doing her homework at 7:45 PM. It took her 3
5 hours to complete all
12
the homework. At what time did she finish the task?
Ans: _____________________

29. The table below shows the parking rates at a shopping mall. Vanessa parked her car
from 3.40 PM to 5.25 PM. How much money did she pay more the parking?
Parking rates
1st hour $2.50
Every additional hour or part there of $1.90
2 2
Ans: _____________________
30. In the figure below, ABCD is a rectangle, ST is a straight line.
Calculate the difference between ∠x and ∠y
Ans: _____________________
A
B
C
D
S
41o T
58o
80o
x
33o
y

1. A survey at a concert showed that
1 of the audience came by car,
25
2 3
1 came by bus
4
and the rest came by train. If there were 180 people who came by car, how many
people came by train?
Ans: _____________________
2. Mrs. Ng had a rectangular parcel of land that is 9m wide. The area of the parcel is
108m2. She wanted to repaint the fence around the land.
a) Find the perimeter of the land.
b) The fence surrounds the whole perimeter of the land. She paid $126 for the
painting cost. How much did she have to pay to paint 1 meter of the fence?
Ans: _____________________
3. Harry cycles to a basketball court every day. He can take either route 1 or route 2. He
chooses route 1 from Monday to Friday and route 2 from Saturday to Sunday. If he
takes route 1, he has to cycle 4 km 300m. The total length of route 1 and route 2
together is 8 km 200 m. What is the total distance that Harry travels to the basketball
court in a week? Give your answer in km.
Ans: _____________________

4. In a training field there is a starting position and several finish lines. The first finish
line is 30m away from the starting point. Each of the finish line from the second one
is twice as far from the starting point as the previous finishing line.
Peter ran straight from the starting point to the first finish line and returned straight
back to the starting point. He then ran straight to the second finish line and returned
to the starting point again. He kept running, every time to the next finish line and
returning to the starting line.
If the last finish line is 240m away, how far did he run in total when he reached the
starting point for the last time?
2 of the visitors in July were children and there were twice as many boys
2 4
Ans: _____________________
5. The graph below shows the number of visitors who visited Science Centre in the
period from July to December.
a) What is the fraction of the number of visitors in the least visited month to the
number of visitors in the most visited month?
b) If
3
as girls, how many girls were there?
2000
1800
1600
1400
1200
1000
800
600
400
200
0
Jul Aug Sep Oct Nov Dec
Ans: _____________________

6. Study the figures below. The figure on the left shows a rectangular strip of paper.
The figure on the right shows that strip when folded along the dotted line. It consists
of 2 squares and 1 trapezium.
a) Find the length of the paper strip.
b) Find the area of the paper strip
3 cm
7 cm
3 of his money on 18 cakes and 21 toy robots.
2 5
Ans: _____________________[4]
7. Jeffery spent
5
The cost of a toy robot is 2 times that of a cake.
How many more toy robots could he buy with the remaining money?
Ans: _____________________[3]

8. Some girls bought a packet of strawberries to share among themselves. If each girl
took 7 strawberries, there would be 4 extra strawberries. If each girl took 8
strawberries, there would be 4 strawberries short.
a) How many strawberries did they buy?
b) How many girls were there?
7 of what Jason had.
2 6
Ans: _____________________[4]
9. Freddie, Jason and Malik each had some toy cars. Jason and Malik had
11 of what
14
Freddie had, and Malik had
15
a) If Freddie had 56 toy cars, how many toy cars did Jason have?
b) How many toy cars did they have altogether?
Ans: _____________________[4]
10. Mary bought 7 similar notepads and 9 similar pens. Each notepad is $1.1 more
expensive than a pen. If the total money Mary spent was $33.3, how much did she
pay for the pens?
Ans: _____________________[3]

11. Ross paid $85 for 10 notebooks and 4 files. Each notebook cost as much as 3 files.
2 7
What is the price of a notebook?
Ans: _____________________[4]
12. Study the figure below. Note that it is not drawn to scale. Answer the following
questions:
a) What is the area of the unshaded part?
b) What fraction of the whole figure is shaded?
Ans: _____________________[4]
10 cm 18 cm
30 cm

2 of the fruits in a basket are pears. There are 30 more apples than pears. The rest of
the fruits are 90 oranges. How many more apple than oranges were there?
1 that of the body. How long is the whale skeleton?
2 8
13.
7
Ans: _____________________[4]
14. At a museum, the body of the whale skeleton on display is as long as the total length
of its head and tail. The head of the whale skeleton is 8m long. The length of the tail
is equal to that of the head plus
3
Ans: _____________________[4]
15. A train departed from Clementi station.
5 of the passengers were adults.
11
3 of the
4
children were boys. The number of adult men is
1 that of women. There were 114
4
less girls than boys. At the next station, Dover, 9 women and 5 boys boarded the
train.
a) How many passengers were there altogether when the train left Clementi
Station?
b) How many male passengers were there on the train when it departed from
Dover station?
Ans: _____________________[4]

16. Mrs. Liu bought 5 packets of sugar, A, B, C, D, and E. The mass of sugar in each
packet is 500g, 600g, 800g, 900g and 1kg, respectively. Mrs. Liu kept one packet for
herself and sold the other packets to Mrs. Chan and Mrs. Lim. Mrs. Lim bought
twice the amount of sugar that Mrs. Chan bought. Which packet did Mrs. Liu keep
for herself if she kept more than 500g?
16 her son’s age. Now her age is three times
2 9
Ans: _____________________[4]
17. Alex, Benny, Carol and Dean stand in a straight row. Alex is not standing next to
Dean and Benny does not stand at the first position, how many possible ways are
there to arrange the four pupils?
Ans: _____________________[4]
18. Seven years ago Mrs. Goh’s age was
3
her son’s age. What is Mrs. Goh’s age now?
Ans: _____________________[4]

3 of the people at a cartoon movie show are children.
1 (2)
1 (4)
3 0
1. What is the result of
5 x 63
9
(1) 14 (2) 28
(3) 35 (4) 42
( )
2.
5
4 of the children are girls.
9
What is the fraction of the number of girls to the number of people at the show?
(1)
3
7
15
(3)
2
4
15
( )
3. The ratio of the number of boys to the number of girls in a class is 3:5. If there are 32
pupils in the class, how many boys are there?
(1) 12 (2) 20
(3) 28 (4) 36
( )
4. In the figure below, which line is the base of triangle XZT if XT is its height?
(1) XY (2) ZT
(3) YZ (4) YT
( )
X
Z
Y
T

5. In the following figure, the area of the shaded shape is 13 cm2. What is the area of
3 of David’s weight. David’s weight is
11 (2)
3 (4)
3 1
the unshaded part of the triangle?
(1) 23 cm2 (2) 30 cm2
(3) 41 cm2 (4) 60 cm2
( )
6. The Physics textbook of a university student weighs 3.9 kg. His Math textbook is
0.532 kg lighter than his Physics textbook. What is the total mass of the two books?
(1) 3.368 kg (2) 4.432 kg
(3) 7.268 kg (4) 8.332 kg
( )
7. Find the value of 60 ÷ (14 – 4) x 3
(1) 2 (2) 18
(3) 25 (4) 30
( )
8. Patrick and Albert have 72 pokemon cards. Patrick has thrice as many as Albert.
How many cards does Patrick have?
(1) 18 (2) 24
(3) 54 (4) 63
( )
9. Irene’s weight is
4
8 Peter’s weight. Express
9
Peter’s weight as a fraction of Irene’s weight.
(1)
13
59
36
(3)
2
2
3
( )
12 cm
9 cm

10. What is the area of the shaded triangle?
28 cm 11 cm
(1) 312 cm2 (2) 224 cm2
(3) 210 cm2 (4) 88 cm2
2 ?
4 (2)
4 (4)
3 2
( )
11. Which of the following is greater than
3
(1)
5
4
7
(3)
9
4
11
( )
12. What is ∠r in the figure below? XOY is a straight line.
(1) 151o (2) 119o
(3) 61o (4) 29o
( )
13. Which of the following is the best estimate for 605 x 48?
(1) 600 x 40 (2) 600 x 50
(3) 700 x 40 (4) 700 x 50
( )
29o
r
16 cm
X O Y

14. In a running competition, the total time taken by the 2 boys was 350 seconds while
the total time taken by the 3 girls was 555 seconds. Find the average time that a child
took to complete the race.
(1) 102 seconds (2) 175 seconds
(3) 181 seconds (4) 270 seconds
5 of his money. He bought a calculator with
3 3
( )
15. In 3 852 176, how many times is the value of digit 8 to the value of digit 1?
(1) 8 (2) 80
(3) 800 (4) 8 000
( )
16. Kelvin bought a pair of skates with
7
1
5
of his remainder. If he had $112 left, how much was the calculator?
Ans: _____________________
17. The figure below is made up of 8 identical squares. The total area is 32m2. Each
corner of a square at a lower row is at the midpoint of the side of the square of the
row above. What is the perimeter of the figure?
Ans: _____________________

18. While reading a book, Jerry noted that the product of the two facing pages that he
was reading is 600. What are the page numbers of the two facing pages that Jerry
was reading?
3 4
Ans: _____________________
19. Kathy bought a badminton racket for $199. She also bought 5 similar boxes of
shuttlecocks. She gave the cashier $300 and was given a change of $41. How much
was each box of shuttlecocks?
Ans: _____________________
20. Kelvin and Elizabeth shared some sweets. The ratio of Kelvin’s sweets to Elizabeth’s
is 8:5. If they have 65 sweets in total, how many sweets did Elizabeth have?
Ans: _____________________
21. Find digits X and Y from 0 to 9 so that
Ans: _____________________
X Y
Y
Y X
+

2 as many crayons as Ali. After Ali received 4 new crayons and
3 5
22. Jonathan had
3
Jonathan received 10 new crayons, they have the same number of crayons. How
many crayons did both of them have altogether before they received new ones?
Ans: _____________________
23. Miss Lisa divided 300 paper clips to her pupils. Each pupil received 15 paper clips.
The next day she divided some toy bricks to her pupils. Each pupil got 10 toy bricks.
How many toy bricks did Miss Lisa gave the class?
Ans: _____________________
24. Gupta and Davis had a total of $300. If Davis gave Gupta $18, he would have twice
as much money as Gupta. How much money did Gupta have at first?
Ans: _____________________
25. Mrs. Tan made 225 lollipops and packed them equally into some boxes, each have
15 lollipops. Each box was sold at $12.30. After selling all the boxes, how much did
she earn?
Ans: _____________________

26.
Find the area of the figure below, which consists of a square, a rectangle, and 3
1 are $5 and the rest are $10. He had saved $1 794 in total.
3 6
identical triangles.
Ans: _____________________
27. Ali counted his savings and noted that all of his money was in $2, $5 and $10 notes.
1 of the notes are $2,
3
6
What is the total value of $5 notes had he saved?
Ans: _____________________
3 cm
4 cm
7 cm

28. Darren needed to run 10km for training. He had run
3 7
4 1 km. How many more
9
kilometres did he have to run to complete the training? Express your answer correct
to 2 decimal places.
Ans: _____________________
29. Jimmy can make 30 paper birds every hour. Philip can make 50 paper birds every
hour. After Jimmy had started making paper birds for 2 hours, Philip also started.
How many hours would Philip take to make the same number of paper birds as
Jimmy?
Ans: _____________________
30. The ratio of 2 whole numbers is 2:15. The bigger number is greater than 98 but
smaller than 108. Find the smaller number.
Ans: _____________________

1. Helen cycles
7 2 km to school. Jack cycles
3 8
3
5 of that distance to school. What is the
8
difference in distance they have to cycle to school? Express your answer as a fraction
in its simplest form.
Ans: __________________km
2. Find the area of the shaded part in the figure bellow, given that ABCD is a rectangle
and CN is 3 times as long as ND.
Ans: _____________________
96 m
24 m
A B
M
N
D C

3. The ratio of the amount of petrol Mr. Quek used in January to the amount of petrol
he used in February was 4:7. He used 60l of petrol in January. How much did he
have to pay for petrol in total if the price of petrol was $2.50 per litre during those
two months?
3 9
Ans: _____________________
4. Nurbaya wanted to make 24l of strawberry drink from a 1.5l bottle of strawberry
syrup. She mixed the syrup with plain water in the ratio of 1:5.
a) How much strawberry syrup is she short of?
b) After buying more syrup and made the desired drink, she added another 2l of
syrup to make the drink sweeter. Find the new ratio of syrup to water in the new
drink.
Ans: _____________________
5. A salesman earned $10 for each unit of product A and $4 for each unit of product B
that he sold. In a month, he earned a total of $11 400. The ratio of the number of
product B units to product A units that he sold was 3:14.
a) How many units of product A did he sell?
b) What is the difference between the amount of money he collected from selling
product A and the amount of money he collected from selling product B?
Ans: _____________________

6. Nancy had some stickers.
1 of them were used to make a scrapbook. She then
2 of the remaining equally to her three friends. After making the scrapbook
4 0
3
divided
3
and sharing stickers to her friends she had 42 stickers less than what she had at the
beginning. How many stickers did each of her friends receive?
Ans: _____________________[4]
7. Suriyana and Fahan each had saved some 20-cent and 50-cent coins. Suriyana had a
total of 192 coins. The number of 20-cent coins that Suriyana had was
3 the number
5
of 50-cent coins that she had. The ratio of the number of 20-cent coins to the number
of 50-cent coins that Fahan had was 1:2. Fahan’s total number of coins is only
1
4
that of Suriyana.
a) What is the ratio of the number of 20-cent coins Suriyana had to the number
of 50-cent coins that Fahan had?
b) What is the ratio of the amount of money that Suriyana had to the amount of
money that Fahan had?
Ans: _____________________[4]

8. Find a number that gives a quotient of 189 and a remainder of 17 when divided by
5 of his working hours working with his computer. He worked for
1 of the day. How many minutes did he work with his computer?
4 1
55.
Ans: _____________________[3]
9. Mr. Ong spent
12
3
Ans: _____________________[3]
10. Tom and Jerry have some money. If Tom gives Jerry $5, he will have half what Jerry
has. If Jerry gives Tom $5, they will have the same amount.
a) How much money does Tom have?
b) How much money does Jerry have?
Ans: _____________________[4]

11. A box of 16 Pelican pens (box A) is sold at $14.70. A box of 24 Pelican pens (box B)
is sold at $22.50. Is box A or box B the cheaper buy?
4 2
Ans: _____________________[4]
12. All the people at a party shake hands with one another. How many handshakes are
there if there are
a) 3 people?
b) 5 people?
c) 10 people?
Ans: _____________________[4]
13. The ratio among 3 sides of a triangle is 4 : 2 : 5. The longest side is 300 cm. What is
the perimeter of the triangle?
Ans: _____________________[4]

4 3
14. Study the following pattern:
1
1
1
5
...
1
1
1
4
1
1
1
4 5
4
3
3 4
3
2
2 3
= −
×
= −
×
= −
×
Use the above pattern to calculate
... 1
19 20
1
4 5
1
3 4
1
2 3
×
+ +
×
+
×
+
×
Give your answer in the simplest form.
Ans: _____________________[4]
15. Mr. Green needed to go from A to B. He had travelled
3 of the distance and still
8
needed to travel another 480km. What is the distance from A to B?
Ans: _____________________[4]
16. A rectangle water tank can contain a maximum of 105m3 of water. Its base is 5m
wide and 7m long. What is the depth of the tank?
Ans: _____________________[4]

17. What is the area of the right-angled trapezium ABCD as shown below?
14 cm
4 4
Ans: _____________________[4]
18. 36 chickens and dogs have a total of 100 legs. How many chickens are there?
Ans: _____________________[4]
A B
D C
26 cm
11 cm

1. What is the area of triangle PQR?
P
Q
(1) 66 cm2 (2) 175 cm2
(3) 225 cm2 (4) 297 cm2
4 5
( )
2. Find the value of 84 ÷ (5 + 2) – 2 x 5
(1) 2 (2) 50
(3) 60 (4) 72
( )
3. COD is a straight line. Find ∠x if ∠x is 180 less than ∠y. (The figure is not drawn to
scale).
(1) 99o (2) 81o
(3) 36o (4) 9o
( )
x
y
25 cm
14 cm
R
P
S

4. What is the value of ∠a, given that AB and CD are straight lines?
a
(1) 32o (2) 48o
(3) 60o (4) 122o
4 6
( )
5. Nelson, Jordan and Joe had a number of cookies. Nelson had 2 times the number of
cookies that Jordan had. Joe had the same number of cookies as Nelson. What is the
ratio of the number of cookies that Nelson had to the total number of cookies of all
three friend?
(1) 1:5 (2) 2:5
(3) 3:5 (4) 4:5
( )
6. A triangle of height 8cm and base 6cm is cut from each corner of a square. The
perimeter of the square is 80cm. Find the area of the remaining figure?
(1) 208 cm2 (2) 250 cm2
(3) 304 cm2 (4) 352 cm2
( )
7. How many thousands are there in one and a half million?
(1) 15 (2) 150
(3) 1 500 (4) 15 000
( )
8. The difference between 430 000 and 550 000 is divided by 400. What is the final
value?
(1) 30 (2) 300
(3) 3 000 (4) 30 000
( )
9. Round off 205 621 to the nearest thousand
(1) 205 000 (2) 205 600
(3) 206 000 (4) 206 621
( )
A B
C
D
138o

2 of a Sunday practicing the piano.
4 7
10. How many sixths are there in
3 1 ?
2
(1) 0 (2) 5
(3) 15 (4) 21
( )
11. Mr. Koh’s garden is 25m long and 12m wide. The cost of mowing 1m2 of garden is
$15. How much must he pay to mow his whole garden?
(1) $20 (2) $555
(3) $1 110 (4) $4 500
( )
12. Sally spent
3
How many hours did she spend on that Sunday practicing the piano?
(1) 8 hours (2) 16 hours
(3) 20 hours (4) 36 hours
( )
13. Which of the following is not a symmetric figure?
(1) (2)
(3)
(4)
( )
14. Find the area of the shaded figure.
(1) 112 cm2 (2) 266 cm2
(3) 308 cm2 (4) 420 cm2
( )
28 cm
19 cm
8 cm

15. The graph below shows Mrs. Ong’s grocery expenses for her family from January to
May.
What is Mrs. Ong’s average grocery expense for the five months?
4 8
$200
$180
$160
$140
$120
$100
$80
$60
$40
$20
$0
Jan Feb Mar Apr May
(1) $100 (2) $125
(3) $150 (4) $175
( )
16. At a fruit stall, the ratio of apples to oranges is 2:3 and the ratio of apples to banana
is 4:9. Find the ratio of oranges to bananas.
Ans: _____________________
17. Sylvia, Alan and Ronald are making paper stars together. Ronald and Alan made 221
paper stars altogether. Alan and Sylvia made 121 paper stars altogether. If Ronald
made 5 times as many paper stars as Sylvia, how many paper stars did Alan make?
Ans: _____________________

18. Half of the pens at a stationary shop are blue.
4 9
1 of the remaining pens are red, while
8
the remaining pens are black. If there are 210 more black pens than red pens, how
many pens are there altogether?
Ans: _____________________
19. A drink stall had some cans of coke and soda water in the ratio 3:7. After selling 48
cans of soda and buying another 48 cans of coke, the shop had the same number of
cans for each drink. How many cans of coke were there at first?
Ans: _____________________
20. In triangle XYZ below, XZ = YZ = 9cm.
Calculate the area of the shaded area.
Ans: _____________________
4.5cm
2 cm
Z
X
Y

21. Danny and Fahan had $54 in total. If each boy was given another $8, the ratio of the
amount that Danny had to the amount that Fahan had became 3:4. How much money
did Fahan had at first?
5 0
Ans: _____________________
22. Arrange the following fractions in ascending orders
, 7
7
5
, 4
4
, 5
5
5
23. How many two thirds are there in 18?
Ans: _____________________
24. Betsy had an average of 56 slices of fruit a month.
How many slices of fruit did she have in
2 3 months?
4
Ans: _____________________
25. Fill in the box with an appropriate number
2
8 =
12
Ans: _____________________

Questions 26 to 30 carry 2 marks each Show your workings clearly in the space below
26.
The number of chocolate candies in a box is between 60 and 100. If 4 or 7 children
share the box, each of them can have the same amount of candies. How many
chocolate candies are there in the box?
51
Ans: _____________________
27. Mr. Lee had a number of boxes. He packed them into 8 layers in a container. Each
layer has 7 rows. Each row has 6 boxes. How many boxes did Mr. Lee have?
Ans: _____________________
28. Find A if
2 5
12
A×5 1 =
4
Ans: _____________________

29. If a bus can carry 25 passengers, what is the minimum number of buses to carry 7
groups of passengers, each of which have 32 passengers?
52
Ans: _____________________
30. Two pumps are used to fill a swimming pool. Pump A can fill the pool completely in
3 hours. Pump B can fill the pool completely in 2 hours. How long will it take to fill
the pool completely if both taps are turned on at the same time?
Ans: __________________hours

1. Wu Wei was given a number of questions as homework. He answered
53
1 of the
2
number of questions on the first day. On the second day he answered
1 of the
10
number of questions. If he continued to answer
1 of the number of questions every
10
day from the third day, on what day will he finish all the questions?
Ans: _____________________
2. For every 5 hour of work, Daniel was paid $80. How many hours had he worked if
he was paid $1440?
Ans: _____________________

3. What is the area of the shaded part in the figure below if each square has sides of 3
54
cm?
Ans: _____________________
4. A piece of cloth is cut into two pieces. The area of the bigger piece is
7 that of the
12
original piece. If the area of the bigger piece is 138 cm2 more than that of the smaller
piece, what is the area of the bigger piece?
Ans: _____________________
5. Complete the figure below so that the dotted line is the line of symmetry
Ans: _____________________

6. In the figure below, what is the area of the square if the averaged perimeter of the
1 the volume of petrol in barrel B. 24l of petrol
55
square and the triangle is 59 cm?
Ans: _____________________[4]
7. The volume of petrol in barrel A is
4
is moved from barrel B to barrel A. The volume of petrol in barrel A is now
1 the
2
volume of petrol in barrel B. How much petrol is there in barrel B in the end?
Ans: _____________________[4]
28 cm
12 cm

8. Examine the pattern of the following figure. Find the missing number.
?
56
12
Ans: _____________________[4]
5
9. A shop is selling toy robots at $20 and dolls at $50. There are 23 more dolls than toy
robots. After selling some dolls for $900, the shop has 1.5 times as many dolls as toy
robots. How many dolls did the shop have at first?
Ans: _____________________[3]
89
115
1020
117
258
4500
205
397
4816

10. Joey, Zhong Ren and Suriya had a total of $1 326. After Joey spent
1 of his money, and Suriya spent
4 the total of cards that George and Harry had. George had twice the number of
cards Fred had.
a) If George had 104 cards, how many did Harry have?
b) What was the number of cards three of them had altogether?
1 of his brother’s money. The product of their money is $400. How much
57
2 of his money,
5
Zhong Ren spent
7
1 of her money, all of them had
3
the same amount of money. How much did they spend altogether?
Ans: _____________________[4]
11. Fred, George and Harry shared some pokemon cards. The number of cards Fred had
is
11
Ans: _____________________[4]
12. Jane had
4
money did Jane have?
Ans: _____________________[3]

13. A pair of shoes is 9 times as expensive as a pair of socks. If 3 pairs of shoes and 5
pairs of socks cost $192, how much is a pair of shoes?
1 times as heavy as a bag of powder. The average mass of the two
58
Ans: _____________________[4]
14. What is the area of the shaded part, if each small square is 4 cm x 4 cm?
Ans: _____________________[4]
15. A bag of rice is 2
2
bags is 33.25 kg. What is the mass of the bag of powder?
Ans: _____________________[4]

16. The ratio of the number of pencils to the number of pens in a stationary shop was 3:
7. The stall owner then sold 36 pens and the number of pens became equal to the
number of pencils. How many pens were there in the shop at first?
59
Ans: _____________________[4]
17. The figure below is not drawn to scale. Find the area of the shaded part.
Ans: _____________________[4]
18. Alice had 9 notepads and Ronald had 6 notepads. Alice then bought some more
notepads. After that the ratio of the number of notepads that she had to the number of
notepads Ronald had is 7: 3. How many more notepads did Alice buy?
Ans: _____________________[4]
19 cm
15 cm
15 cm
7 cm

1. Five pupils shared a 9l jug of orange juice. How many litres of orange juice did each
5 (2) l
1 4
5 (4) l
14 (2)
814 (4)
60
pupil get?
(1) l
13
8
13
(3) l
9
5
( )
2. Write 8.56 in fraction form
(1)
25
98
125
(3)
25
8 8
25
( )
3. Which of the following ratio is not equivalent to 5 : 13
(1) 15 : 39 (2) 30 : 78
(3) 35 : 91 (4) 40 : 84
( )
4. In the diagram below, ABCD is a rectangle, AB = 7cm, AD = 5cm, BO = 4 cm, AO
= 9.5 cm. What is the base and height of the shaded triangle?
(1) 4 cm and 9.5 cm (2) 4 cm and 7 cm
(3) 5 cm and 9.5 cm (4) 5 cm and 7 cm
( )
A B
O
D C
Marks

5. Each worker in a factory was given 300 short nails, 700 medium nails and 600 long
nails. Find the ratio of the number of long nails to the total number of nails
(1) 3 : 13 (2) 7 : 16
(3) 3 : 8 (4) 3 : 16
26 (2)
104 (4)
3 kg of candies. Mrs. Chua packed all the candies in the tin into 9
27 (2) kg
1 (4) kg
3 m wide has an area of 9m2. What is its perimeter?
7 1 m (2) 12m
12 3 m (4)
61
( )
6. There were 45 strawberries in basket A. Basket B had 25 more strawberries than
basket A. What was the ratio of the number of strawberries in basket B to basket A?
(1) 14 : 9 (2) 9 : 14
(3) 4 : 9 (4) 9 : 4
( )
7. What is the value of
13 × 8
?
9
4
(1)
9
21
13
(3)
9
117
32
( )
8. What is the value of 66 + 18 ÷ 3 + 4 x 5
(1) 48 (2) 92
(3) 116 (4) 160
( )
9. A tin contains
5
bags, each weighs the same. What was the mass of each candy bag?
(1) kg
5
4
5
(3) kg
15
12
5
( )
10. A rectangle
4
(1)
2
(3)
4
25 1 m
2
( )

11. Ding Mei’s water bottle was full and had l
1 of water. What was the fraction of the amount of water left in Ding Mei’s
19 (2)
11 (4)
Pupil’s name Test score
Joey 95
Lucy 83
Michael 77
Sam 71
62
3 and poured
3 of water. She drank l
2
10
away l
4
bottle to the full bottle?
(1)
30
19
20
(3)
20
1
20
( )
12. Miss Sally needed to use 85cm of ribbon to tie a present. If she had to make 25
similar presents to her pupils, how many meters of ribbon were used?
(1) 1.1 (2) 2.125
(3) 3.4 (4) 21.25
( )
13. Calculate the sum of 72.35 and 52.87. Round off your answer to 1 decimal place.
(1) 124.2 (2) 125.2
(3) 126.2 (4) 127.2
( )
14. Joey, Lucy, Michael and Sam attended a physics test. There scores are shown in the
table below:
Who had the score that is closest to the average score of all 4 pupils?
(1) Joey (2) Lucy
(3) Michael (4) Sam
( )
15. Fatimah needed to walk 1.8 km to school. She had walked 216m. What percentage of
the journey did she still have to walk?
(1) 12% (2) 13.64%
(3) 75% (4) 88%
( )

16. Write 8 006 500 in words.
17. What is the remainder when dividing 5603 by 7?
M K N
Q P
63
Ans: _____________________
18. What fraction of 5km is 1300 m? Provide the simplest form for your answer.
Ans: _____________________
19. Express
23 km in metres.
5
Ans: _____________________
20. In the diagram shown below, MNPQ is a rectangle; K and H are midpoints of MN
and PQ respectively. What fraction of the figure is shaded?
Ans: _____________________
H

21. Mei Mei, Jing Jing and Hui Hui were given the same homework. Mei Mei had done
1 of the homework. Hui Hui had done
64
4
1 of the homework. Jing Jing’s completed
2
portion of the homework is exactly midway between Mei Mei’s and Hui Hui’s. What
fraction of the homework had Jing Jing done?
Ans: _____________________
22. 1 carpenter can make 8 tables in a week. How many carpenters are required to make
40 tables in a week?
Ans: _____________________
23. A = 1 + 2 + 3 + … + 99 + 100.
Find the value of A.
Ans: _____________________
24. A carpenter completed a chair at 4.40 pm. It took him 2 hours 45 minutes to
complete his work. What time did he start?
Ans: _____________________

25. At first, Davis, Feng Xue and Ann had 181 stamps in total. Davis had 37 stamps.
Feng Xue and Ann had the same amount of stamps. A few weeks later, Ann
collected another 29 stamps. How many stamps did Ann have in the end?
65
Ans: _____________________
Questions 26 to 30 carry 2 marks each. Show your working clearly in the space below
26.
Two numbers have a sum of 148.5 and a difference of 43.5. What are the two
numbers?
Ans: ______________
27. In the figure below, ABCD is a square of side 30 cm and DH =
7 HC. Find the area
3
of the shaded triangle.
Ans: _____________________
A B
D C H

28. There were 592 apples and pears in a fruit shop. After
66
4 of the apples and
9
2 of the
7
pears were sold, the number of pears and the number of apples left are the same.
How many pears were sold?
Ans: _____________________
29. At first, of a tank was filled with water. The total mass was 81.74 kg. Water was
then taken out of the tank until it was half filled. The total mass was 59.8 kg. What
was the mass of the tank? Round off your answer to 1 decimal place.
Ans: _____________________
30. Of all the adults at a concert, were women. There were 114 more children than
women. The ratio of the number of adults to the number of children was 3: 7. How
many children were there at the concert?
Ans: _____________________

1. Grapes were sold at $0.65 per 250g in a market. Mr. Khoo bought 3.25 kg of grapes.
67
How much did he have to pay?
Ans: _____________________
2. Find the area of triangle ACD in the figure below.
Ans: _____________________
A
B
C
D
8 cm 22 cm
16 cm
7 cm

3. Three packets of candies had an average mass of 903.6g. The packet of apple candies
weighed twice as much as the packet of strawberry candies. The packet of mango
candies is
4 the mass of the packet of strawberry candies. What is the mass of the
68
5
packet of apple candies? Express your answer up to 2 decimal places.
Ans: ___________________kg
4. 2 boxes of candies and 3 boxes of cookies have an average mass of 3.84 kg. 3 boxes
of candies and 2 boxes of cookies have an average mass of 3.7 kg. The candy boxes
are identical and the cookies boxes are also identical. What is the total mass of 2
boxes of candies and 1 box of cookies?
Ans: _____________________
5. There are two water taps, A and B. Tap A is used to fill in tank X and tap B is used
to fill in tank Y. In every minute, tap A can fill 8l more than tap B. However, 56.5l of
water is drawn from each tank in every minute. When tank X has 54l, tank Y has 22l.
a) How much water does tank Y receive per minute?
b) How much water is there in tank Y after 1 hour?
Ans: _____________________

6. When Tom received his salary, he gave his mother
69
1 his salary. He then used
4
1 of
7
the remaining amount plus $54 to pay his bills. After that, he spent half of the
remainder plus $27 to buy a computer. Finally, he saved the remaining $846. How
much was his salary?
Ans: _______________[4]
7. In the tables and chairs section of a warehouse, the ratio of the number of chairs to
that of tables is 5: 3. There are 64 wooden pieces of furniture and the rest are made
of plastic. The number of plastic pieces is twice the number of wooden pieces. If
there are 32 wooden chairs, what is the ratio of the number of plastic chairs to that of
wooden tables?
Ans: _______________[4]

1 m taller than she is. What is the average height
1 of a magazine on Friday and
70
8. Betsy is 1
1 m tall. Her brother is
2
6
of the two children? Round off your answer to 2 decimal places.
Ans: _______________[4]
9. Nicole read
5
1 of the remaining on Saturday. On
4
Sunday she read twice as many pages as on Friday. What fraction of the magazine
was not read?
Ans: _______________[4]
10. The ratio of the cost of an LCD monitor to that of a computer is
4 . The computer
9
costs $900. What is the average cost of the two devices?
Ans: _______________[3]

11. Ken bought 3 pairs of jeans and 2 shirts for $90. A pair of jeans was $5 more
expensive than a shirt. How much did a pair of jeans cost?
71
Ans: _______________[4]
12. The ratio of the number of Indian pupils to the number of Chinese pupils is 2: 7. The
ratio of the number of Malay pupils to the ratio of Chinese pupils is 3: 4. What is the
ratio of the number of Indian pupils to the number of Malay pupils to the number of
Chinese pupils?
Ans: _______________[4]
13. A bank paid a fixed 0.68% saving interest per year. Bill opened an account and
deposited $172 000. How much interest would he earn after a year?
Ans: __$____________[4]

14. The total amount of money that Soo Hui and Margaret had is $630. If Margaret gave
Soo Hui $52.70, Soo Hui would have eight times the amount that Margaret had.
Initially, what was the difference in the amounts that they had at first?
72
Ans: _______________[4]
15. The total volume of water in tanks A, B and C is 400l. If half of the water in tank A
is taken away and the water in tank B is doubled, and 30l is added to tank C, the ratio
of the volume of water in tank A to B to C will be 3: 2: 1. Find the amount of water
in tank B initially.
Ans: _______________[4]

16. A set of furniture costs $3290. Mr. Tay bought the set with 20% discount. However,
he had to pay 7% GST on the discounted price. How much did he have to pay for the
set of furniture?
73
Ans: _______________[4]
17. Use the following digits, each digit only once, to make the smallest even number that
is greater than 250 000.
0, 3, 7, 2, 9, 6
Ans: _______________[3]
18. In a laboratory, the mass of some bacteria doubles every 12 minutes. If the mass is
128 mg at 5 p.m, what time was it when the mass was 0.5 mg?
Ans: _______________[4]

1. The digit 9 in 5 298 637 is the _________________________ place
(1) hundreds (2) thousands
(3) ten thousands (4) hundred thousands
3 hours. For how many minutes did he study?
2 of his money and used
1 (2)
1 (4)
74
( )
2. Which of the following numbers will result in 555 000 when being rounded off to the
nearest thousand?
(1) 554 494 (2) 555 494
(3) 555 501 (4) 555 513
( )
3. 45 x 100 = ____________________-
(1) 45 x 20 x 5 (2) 40 + 5 x 100
(3) 45 x 10 + 90 (4) (45 x 20) + (45 x 5)
( )
4. Frank studied for 4
10
(1) 258 minutes (2) 300 minutes
(3) 342 minutes (4) 400 minutes
( )
5. Find the value of 650 – (27 + 123) ÷ 4
(1) 36.25 (2) 125
(3) 250 (4) 612.5
( )
6. Harry bought a pair of jeans with
3
1 of his remaining
4
money to buy some toys. What is the fraction of money left?
(1)
4
3
4
(3)
12
5
12
( )

7. Find the area of the figure below (not drawn to scale)
8 cm
(1) 30 cm2 (2) 36 cm2
(3) 42 cm2 (4) 49 cm2
1 km. What was the distance that she jogged each day?
1 km (2) 3km
3 of the participants are boys and
19 (2)
14 (4)
75
( )
8. What is the volume of a cube of side 4 cm?
(1) 16 cm3 (2) 32 cm3
(3) 64 cm3 (4) 128 cm3
( )
9. What is the maximum number of 2-cm cubes that can be fitted into a rectangular box
measuring 9 cm by 6 cm by 4 cm?
(1) 9 (2) 24
(3) 27 (4) 54 ( )
10. Annie was sitting in a concert. The chairs were arranged in rows in a rectangular
manner. There were 6 chairs on Annie’s left and 8 chairs on her right. There were 10
rows in front of her and 11 rows behind her. How many chairs were there?
(1) 294 (2) 308
(3) 315 (4) 330 ( )
11. Mei Mei jogged for the same distance every night. After a week, the total distance
covered was 17
2
(1) 2
2
(3) 5km (4) 10
1 km ( )
2
12. In a survey among pupils in a school,
5
5 of these
6
boys likes basketball. The survey also shows that
1 of the girls like basketball too.
3
What fraction of the pupils like basketball?
(1)
30
11
30
(3)
15
7 ( )
6
9

76
13. Express 21 km 3 m in km.
(1) 21. 003 km (2) 21. 03 km
(3) 21.3 km (4) 210.3 km
( )
14. What is the product of 56.31 and 60?
(1) 3.3786 (2) 33.786
(3) 333.86 (4) 3 378.6
( )
15. The average mass of two packets of rice is 4 kg. Which of the following are the
likely mass of the two packets of rice?
(1) 2.5 kg and 2.5 kg (2) 2.5 kg and 3.5 kg
(3) 2.5 kg and 4.5 kg (4) 2.5 kg and 5.5 kg
( )
16. What is the remainder when 3256 is divided by 19?
Ans: _____________________
17. Write six hundred and eighty thousand, seven hundred and ninety-five as a numeral.
Ans: _____________________
18. What is the difference between and ?
Ans: _____________________
19. Calculate
290 – 36 ÷ 4 x (27 + 5) ÷ 2 + 115
Ans: _____________________

20. How many cubic centimetres are there in 1l 25 ml?
5 l of milk in her bottle. She drank
77
Ans: _____________________
21. Pei Xin had
6
1 of the milk in the bottle. How
3
many liters of milk did she have left?
Ans: _____________________
22. Find x if × =
X 2
5
3
4
Ans: _____________________
23. Express 63.08l in terms of milliliters.
Ans: _____________________
24. The table below shows the prices of different fruits at a market.
Fruit Price (per kg)
Apple $3.65
Strawberry $4.89
Kiwi $5.99
Watermelon $4.20
Uncle Tiong bought 2 kg of apple and 3 kg of kiwi. How much did he spend?
Ans: _____________________

78
25.
Find X and Y if X : 5 : 9 = 7 : Y : 63
Ans: _____________________
26.
Mrs. Lim wants to give some pens to her pupils. If each pupil gets 7 pens, there will
be 3 pens extra. If each pupil gets 8 pens, there will be 4 pens short.
a) How many pupils are there?
b) How many pens does Mrs. Lim have?
Ans: _____________________
27. 75% of the candies in a box are chocolate flavored. 40% of the remainder is mango
flavored and the rest is strawberry flavored.
a) Express the number of strawberry flavored candies as a fraction of the total
number of candies in the box.
b) How many more chocolate flavored candies than strawberry flavored candies
are there if there are 20 mango flavored candies?
Ans: _____________________

28. The breadth of a rectangular floor is 15% of its perimeter. The length of the floor is
760 cm longer than its breadth.
a) What is the area of the floor in m2?
b) The floor is used to store identical cartons each has a base measuring 30 cm
by 30 cm. What is the maximum number of cartons that can be stored?
79
Ans: _____________________
29. The table below shows the water tariffs (charges) for monthly water consumption
Volume consumed Charges per unit (dollars)
First 40 units 1.17
Above 40 units 1.40
Mr. Choo’s family used 56 units in January. In February he paid $135 for his bill.
a) How much water did Mr. Choo’s family use in February?
b) On average, how many units of water were consumed by his family in a
month over this period?
c) On average, how much does Mr. Choo have to pay for water bill in a month?
Ans: _____________________
30. Peter has a number of books. Lixiang has
2 as many books as Peter has. Fahan has
3
half as many books as Peter has. If Lixiang has 32 books, how many books do they
have altogether?
Ans: _____________________

1. The maximum score for a physics test is 50 marks. What is the highest possible
average score for 5 pupils who took the test, if it is known that one of them scored 15
marks?
80
Ans: _____________________
2. Fred and George folded a number of paper birds. Fred folded 35% of the birds.
George folded 90 birds more than Fred. How many birds did George fold?
Ans: _____________________
3. Mary, Andy and Bob donated some money to a charity fund. Mary donated 40%
what Andy donated and 50% less than what Bob donated. If they donated $660
altogether, how much did Andy donate?
Ans: _____________________

4. In the figure below, ABCD is a rhombus. What is ∠ABE? The figure is not drawn to
81
scale.
Ans: _____________________
A
5. Kin Eu had collected some stamps. After collecting another 12 stamps, the number
of stamps in his collection increased by 30%. How many stamps did he have at first?
Ans: _____________________
116o
B
C
D
E

6. The table below shows the number of days pupils exercised in a week. What is the
fraction of the number of pupils that exercise 2 days or more to the total number of
pupils? Express your answer correct to 2 decimal places.
No. of exercised days 0 1 2 3 4
No. of pupils 5 9 7 16 5
82
Ans: _____________________[3]
7. In a festival that has 2500 participants, there are 1100 females. How many percent
more males than females are there? Round off your answer to 2 decimal places.
Ans: ____________________%[3]
8. The number of exercise questions that 3 pupils have completed is in the ratio of 2: 4:
5. If the pupil who had done the least completed 6 questions, what is the total number
of questions that they have completed?
Ans: _____________________[4]

9. There are approximately 3300 adults and 1700 children in a stadium. If both above
figures are corrected to the nearest hundred, what is the largest possible difference
between these 2 figures?
83
Ans: _____________________[4]
10. The area of the shaded part in the figure below is 54 cm2. SH =
1 PK.
4
What is the area of triangle PQR?
Ans: _____________________[4]
P
S
Q R
H K

11. The area of rectangle A is 3 times the area of square B. The unshaded area of
rectangle A is 5 times the unshaded area of square B. If the shaded area is 27 cm2,
what is the area of the square? The figure is not to scale.
84
Ans: _____________________[4]
12. Miss Chua brought some lollipops to share equally among 36 pupils at the end of a
camp. However, 9 pupils had to leave the camp early. Therefore, each of the
remaining pupils received 3 more lollipops. How many lollipops did Miss Chua
bring?
Ans: _____________________[4]
A
B

13. In the figure below, ABC is a right angled triangle at C. Its height is 9 cm and its
base is 12 cm. 4 such identical triangles are used to form the square MNPQ. Find the
side of the square MNPQ.
1 the area of triangle B. The ratio of area of triangle A to that of
85
Ans: _____________________[4]
14. In the figure below, a rectangle is divided into 4 smaller triangles A, B, C and D. The
area of triangle A is
3
triangle D is 3: 5. The width of the rectangle is 6 cm. The area of triangle D is 30
cm2. Find the perimeter of the rectangle.
Ans: _____________________[4]
A
B
C
D
Q
A
C B
M N
P

15. In a second-hand bookshop, story books are sold at $12 each and comic books are
sold at $8 each. At first, there were 50% more story books than comic books. After
some time,
2 of the story books and all the comic books were sold. The shop
1 the money that Aaron had. After that Aaron spent $45 and Lucy’s
86
3
received $6400. When all the books were sold, how much would the shop receive?
Ans: _____________________[4]
16. Lucy had
3
mother gave her $6. Aaron still had $3 more than Lucy. How much money did Lucy
have at first?
Ans: _____________________[4]

2 the number of marbles that Thomas has. Ben has
87
17.
3 of Joey’s marbles is equal to
5
7
twice the difference between Thomas and Joey’s marbles. Joey has 48 marbles less
than Ben. How many marbles do they have altogether?
Ans: _____________________[4]
18. Tank A measures 4 m by 6 m at the base and is 1 m high. Tank B has the base
dimensions of 5 m x 3 m and is twice as high as tank A. Both of them contain the
same amount of water. The height of water level in tank A is half of its height. Find
the height of water level in tank B.
Ans: _____________________[4]

1. The square below is divided into three parts, A, B and C. The ratio between the areas
A and C is 8: 3. What is the ratio of the area of B to that of C?
(1) 3 : 8 (2) 5 : 3
(3) 8 : 5 (4) 8 : 11 ( )
2. The average weight of 3 pupils is 38 kg. Andy weighs 33.5 kg. John is 3.5 kg heavier
than Bob. How heavy is John?
(1) 42 kg (2) 38 kg
(3) 33 kg (4) 30 kg
2 kg of sugar and Sarah bought 1
3 (2)
2 (4) 4
88
( )
3. Maria and Lily shared some money. Maria had of the total sum. Lily had $180
more than Maria. How much money did both of them have in total?
(1) 72 (2) 90
(3) 360 (4) 420
( )
4. Adil had 36 more stickers than Xiao Mei. Each of them then bought another 10
stickers. After that, Adil had 4 times as many stickers as Xiao Mei had. How many
stickers did Adil have initially?
(1) 38 (2) 40
(3) 58 (4) 108 ( )
5. Celine bought 2
5
5 kg of sugar. They used 2
6
1 kg
10
to bake some cakes. How many kilograms of sugar did both of them have
eventually?
(1)
10
7
15
(3) 2
15
7 ( )
30

7 kg of charcoal for a BBQ but only used
7 (2) 1
3 (4) 1
89
6. Ivy bought
4
3 of them. How many
5
kilograms of charcoal were left over?
(1)
10
1
20
(3) 1
20
7
20
( )
7. There are 32 students in a class. There are 24 students wearing spectacles. What is
the ratio of the number of students who wear spectacles to the number of students
who do not?
(1) 1 : 3 (2) 3 : 1
(3) 3 : 4 (4) 4 : 3 ( )
8. Ali is living in Singapore and he has collected stamps from Singapore, China and
India. The ratio of the number of Singapore stamps to the number of China stamps to
the number of India stamps that he collected is 1: 1: 2. Ali collected 108 foreign
stamps in total. How many local stamps were there?
(1) 27 (2) 36
(3) 81 (4) 144
( )
9. A container having a capacity of 33.5l is filled with lime juice drink. This container
is dispersed into 100 similar glasses for guests. How many liters of juice drink is
there in each glass?
(1) 0.0335 l (2) 0.335 l
(3) 3.35l (4) 3 350 l
( )
10. Find the difference between 125.22 and 38.19. Express your answer as correct up to
1 decimal place.
(1) 87.0 (2) 87.1
(3) 87.9 (4) 88.0 ( )
11. A box containing 24 identical cans weighs 8.36 kg. What is the mass of the box (in
kg) if each can weighs 340g?
(1) 0.2 kg (2) 0.418 kg
(3) 0.5 kg (4) 2 kg
( )
12. The distance from Hassan’s house in Serangoon to Patrick’s house in Paya Lebar is 5
515 m. Write that distance rounded off to the nearest kilometer.
(1) 5 km (2) 6 km
(3) 5 500 km (4) 60 km
( )

13. What is the value of digit 3 in 238 962
(1) 30 (2) 300
(3) 3 000 (4) 30 000
90
( )
14. Last month, a shop collected $65 098 from selling goods.
Express this amount to the nearest hundred
(1) 65 000 (2) 65 100
(3) 66 000 (4) 66 100
( )
15. Express 3
1 as a percentage
4
(1) 0.325% (2) 3.25%
(3) 32.5% (4) 325%
( )
16. In an orchard there are apple trees and pear trees. The ratio of the number of apple
trees to the number of pear trees is 5: 9. What is the ratio of the number of pear trees
to the total number of trees in the orchard?
Ans: _____________________
17. A caterer mixed 2070 ml of orange syrup to 12.42 l of water to make orange juice
drink. What is the volume of juice drink made? Express your answer in liters.
Ans: _____________________

18. How many percent of the figure below is shaded?
5 Kg of flour is divided equally into 10 bags. What is the mass of flour in each bag?
Give your answer in its simplest fraction form.
2 that of his brother. He is 15 years old now. How
91
Ans: _____________________
19. Express
8 in decimal form.
125
Ans: _____________________
20.
6
Ans: _____________________
21. 3 years ago, Mohammed’s age is
3
old is his brother now?
Ans: _____________________

22. What percentage of the number of days in 2009 is the number of days in September?
105 , 0.051, 0.501, 100
92
Ans: _____________________
23. Arrange these number in an ascending order
1000
51
Ans: _____________________
24. 56 x 28 = 29 x 28 + 1 x 28 + ______ x 28
Ans: _____________________
25. Write 64% as a simplest fraction.
Ans: _____________________
26.
The price before tax of a plasma TV is $2100. A GST of 7% is charged on the price.
How much does a buyer have to pay for the TV?
Ans: _____________________

27. The first carton has 1.25 l of lime juice. The second carton has 2
5 as much as Joshua saved. The two pupils saved $1053. How much
93
1 l of lime juice.
8
The third carton had 786 ml of lime juice. How many liters of lime juice are there in
total? Round off your answer to 2 decimal places.
Ans: _____________________
28. Kavitha saved
8
is Kavitha’s savings?
Ans: _____________________
29. A small swimming pool of dimension 20 m x 10 m x 1.5 m is half filled with water.
4 pumps, each is running at a rate of 375 l per minute, is used to pump the pool. How
long will it take to fill the pool completely?
Ans: _________________mins
30. A movie ticket for an adult is $8.50 and that for a child is $5. During a certain
period, 126 more adults than children visited the cinema. The cinema collected
$2907. How many adults visited the cinema in that period?
Ans: _____________________

1. Two boys and eight girls have saved an average of $604. The two boys have saved
an average of $592. What is the average of the savings of the girls?
1 of the balloons. The number of balloons he sold on the second day is
94
Ans: _____________________
2. There are 1200 pupils in a school. 20% of them are Indian. 65% of the remaining
pupils are Chinese and the rest are Malay.
a) How many Chinese pupils are there?
b) What percentage of pupils is Malay?
Ans: _____________________
3. Mr. Chan sold a number of balloons in a 3-day carnival. On the first day he sold
5
2 of what he
3
sold on the last day. 92 more balloons were sold on the last day than on the second
day. Balloons are sold at $1.20 each. How much did Mr. Chan earn?
Ans: _____________________

4. Mr. Feng had 225 more tulips than roses in his garden to sell. After selling
1 of the roses, he had 858 flowers remaining. How many flowers did he
F E
95
3 of the
5
tulips and
3
have at first?
Ans: _____________________
5. The following figure is not drawn to scale. ABCD is a square. AEDF is a rhombus.
Triangle DFG is isosceles. C, G, D are on the same line. F is the midpoint of AG.
Find
a) ∠ AFD
b) ∠ EDC
c) ∠ DAE
A B
D C
Ans: _____________________
G
40o

6. What is the total mass of a bag that weighs
4 of the previous height for every bounce. Find the total
96
3 of 4500g and a box that weighs 48%
8
of 18 kg? Express your answer in kg correct to 2 decimal places.
Ans: ___________________kg[3]
7. There are 15 trees planted in a line. The distance between any two adjacent trees is
the same. The seventh tree is 7920 cm away from the third tree. How far from the
first tree is the last tree? Express your answer in meters.
Ans: _____________________[4]
8. When dropping a tennis ball from a height of 15m to the ground, Johannes realized
that the ball went up to
5
distance that the ball had travelled when it hit the ground the second time.
Ans: _____________________[4]

9. Mr. Lee has 4 children. His age is 3 times that of his youngest child. Each child was
born 3 years before the next one. The total age of the 4 children and the father is 193
years. Find the age of Mr. Lee’s first child.
97
Ans: _____________________[4]
10. Each small truck has 10 wheels. Each large truck has 14 wheels. A truck
manufacturer ordered 408 wheels for their 32 trucks. How many large trucks are
there?
Ans: _____________________[4]
11. Francis gave half of his salary plus $100 to his mother. He spent 25% of the
remaining plus $49 on furniture. He bought some books for $61. He gave
3 of his
5
remaining sum plus $53 to his sister. He saved the final $443. How much is Francis’s
salary?
Ans: _____________________[4]

12. An elephant is 5.5 times as heavy as a zebra. The total mass of 2 elephants and 3
zebras is 1260 kg. What is the mass of 1 elephant and 4 zebras?
98
Ans: _____________________[4]
13. From January to August, Phoebe earned an average of $2340 per month. From
September to December, she earned some more money and the average earning over
the entire year is $3290. What was the average amount of money that Phoebe earned
a month in the period from September to December?
Ans: _____________________[4]
14. In a charity event, 3 scouts Benny, Ray and Kathy raised $1459 altogether. Ray
raised $296 less than Benny while Katy raised an amount
1 as much as Benny. How
4
much money did Kathy raise?
Ans: _____________________[4]

15. The ratio of the number of roses to the number of lilies to the number of tulips is
3:5:9. If there are 954 more tulips than roses, how many more lilies than roses are
there?
99
Ans: _____________________[3]
16. There are 20 more pages in a mathematics book than in a physics book. There are 70
more pages in a chemistry book than in a mathematics book. The total number of
pages in 20 books of each type is 10 000. How many pages are there in a physics
book?
Ans: _____________________[4]

17. In the figure below, the rectangle on the left is made by bending a wire. Another wire
with the same length is bent to make the two identical isosceles triangles on the right.
What is the area of one isosceles triangle?
1 on stationeries. He also bought two pairs of shoes
10 0
Ans: _____________________[4]
18. The ratio of the amount of money Josh had to that Derek had was 3: 5. Derek spent
25% of his money on toys and
5
for $150. He saved the remaining $246. How much money did Josh have?
Ans: _____________________[4]
33 cm
75 cm
36 cm

1 hours to 56 minutes?
10 1
1. What is the ratio of
3
(1) 5 : 14 (2) 14 : 5
(3) 3 : 5 (4) 5 : 3
( )
2. What percentage of 4 m is 25 cm?
(1) 6.25% (2) 62.5%
(3) 0.16% (4) 16%
( )
3.
In a factory, soya drink is poured from a 5.2l tank to fill some identical cans, each of
which has a capacity of 330ml. What is the maximum number of cans that can be
filled using one tank?
(1) 14 (2) 15
(3) 16 (4) 17
( )
4. Jane spent an average amount of $127 a month over 5 months. Find the total amount
that Jane spent over 5 months.
(1) $600 (2) $635
(3) $660 (4) $700
( )
5. John had some money. He used 25% of his money to buy furniture and used of the
remainder to buy clothes. If the spent $300 on clothes, how much did he spend on
furniture?
(1) $240 (2) $500
(3) $1200 (4) $1500
( )
6. Jane bought some pieces of clothes for an average cost of $24. After that, she bought
another piece that costs $96 and the average cost became $36. How many pieces of
clothes did Jane buy altogether?
(1) 5 (2) 6
(3) 8 (4) 4
( )

7. In the figure below, 1, 2, 3 and 4 together make a square. 2 and 3 are also squares
and they contribute 50% of the area of the figure. Which of the following pair will
form
8 (2)
23 (4)
7 (2)
7 (4)
10 2
5 of the figure?
8
1
2
3
(1) 1 and 2 (2) 3 and 4
(3) 1 and 4 (4) 2 and 3
( )
8. Harry and Jack each had some Pokémon cards.
2 of what Harry had is equal to
5
3
4
of what Jack had. What fraction of the total number of cards are Jack’s cards?
(1)
23
15
23
(3)
8
23
15
( )
9. Find the value of 7 x (2 + 16 ÷ 2) – 1
(1) 14 (2) 21
(3) 62 (4) 69
( )
10. Find the largest fraction of the following
(1)
9
7
10
(3)
11
7
12
( )
11. The distance from A to B is eight times the distance from B to C. What is the ratio of
the distance from A to B to the total distance?
(1) 1 : 8 (2) 1 : 9
(3) 8 : 9 (4) 9 : 8
( )
4

12. The volume of a tank is 56l when rounded off to the nearest litre. Which of the
following is likely to be the actual volume of the tank in liter?
(1) 55.05 (2) 55.49
(3) 56.45 (4) 56.51
10 3
( )
13. David had $32 left after spending $48. What percentage of his money did he spend?
(1) 40% (2) 60%
(3) 67% (4) 80%
( )
14. What is the ratio of the shaded part to the whole figure below?
(1) 1 : 4 (2) 4 : 5
(3) 4 : 9 (4) 5 : 9
( )
15. What is ∠ h in the figure below? FG is a straight line. The figure is not to scale.
(1) 35o (2) 45o
(3) 55o (4) 65o
( )
F h 35o G

16. Write
10 4
12 in percentage form.
25
Ans: _____________________
17. A card board is 30 cm in length and 16 cm in breadth. What is the area of the card
board?
Ans: _____________________
18. Four cans of iced tea costs $6. How much is two dozen cans?
Ans: _____________________
19. Find ∠x given that ∠x = ∠y
x
y
Ans: _____________________
162o

20. In the figure below, ABCD is a rectangle, AI = ID, BJ = JC.
What percentage of the whole area is the shaded area?
A B
I J
D C
10 5
Ans: _____________________
21. A pencil case can contain 12 pencils. If there are 390 pencils, how many pencil cases
are needed?
Ans: _____________________
22. Angela has some short sleeved and long sleeved shirts.
7 of the shirts are long
15
sleeved. What is the ratio of the short sleeved shirts to the long sleeved shirts?
Ans: _____________________
23. Brian has 50% more $2 notes than $5 notes. He has 45 notes in total. How much
money does he have?
Ans: _____________________

24. What are the common factors of 18 and 45?
10 6
Ans: _____________________
25. Kiara walked 55m in every minute. It took her 18 minutes to walk from home to
school. How far is her school from her home?
Ans: _____________________
26.
In 2009, Raphael is 9 years old. His father is 38 years older than he is. In how many
years will his father’s age become three times his age?
Ans: _____________________
27. Find the volume of a bottle if 36% of it can fill a 72ml cup completely.
Ans: _____________________

28. Find the maximum number of 40 cm cubic boxes that can be stored in a storeroom
that is 5m wide, 6m long and 3m high.
2 km. He had walked some distance and still had to walk
3 km. How far had he walked? Give your answer in meters.
10 7
Ans: _____________________
29. Yvonne weighs 42.5 kg. Her bag weighs 4750g. If Yvonne wears her bag and stands
on an electronic scale, what value will the scale indicate? The scale expresses mass
in kg.
Ans: _____________________
30. Antoine needed to walk 1
5
for another
4
Ans: _____________________

1. A water tank has dimensions 60 cm x 25 cm x 30 cm. Uncle Tiong is using a 3l pail
to fill the tank. How many times does he use the pail?
10 8
Ans: _____________________
2. Study the figure below carefully.
ABCD is a square piece of paper. If I fold the piece along the line IK and then cut
away along the lines IJ and JK, what is the area of the remaining piece?
Ans: _____________________
18 cm
A B
I
K
J
D C
A I
J
K
D C
25 cm
2 cm

3. Mrs. Ong bought 2 kg of grapes at a price of $3.20 per 100g.
Mrs. Choo bought the same kind of grapes with a discount of $0.70 per 100g. She
paid the same amount of money as Mrs. Ong did. How many more kilograms of
grapes did Mrs. Choo buy compared to Mrs. Ong?
10 9
Ans: _____________________
4. Fill in the blank with an appropriate number to complete the pattern.
1 , 4 , 9 , ________ , 25
Ans: _____________________
5. The average distance that Mei Mei jumped over 5 attempts is 145 cm. The average
distance of the first 3 attempts is 155 cm. What is the average distance of the last 2
attempts?
Ans: _____________________

6. The figure below is not drawn to scale. ∠MNQ is 29o. MNPQ is a rhombus.
Q O
1 of the carton of milk on the first day. Over the next two days he
11 0
a) Find ∠ NMQ.
b) If MN = NO, find ∠ NOP.
Ans: _____________________[4]
7. Guo Qi drank
5
drank 75% of the remaining milk. There was still 750ml of milk left.
What is the volume of the carton of milk? Express your answer in liters.
Ans: _____________________[4]
M
N
P

8. An apple drink is made by mixing apple syrup and plain water in the ratio 2: 5. How
many milliliters of apple syrup is needed to make 1.4 l of apple drink?
11 1
Ans: _____________________[3]
9. Study the pattern below. The shapes are made by using toothpicks.
a) How many toothpicks are needed to make 5 shapes?
b) How many shapes can be made using 258 toothpicks?
Ans: _____________________[4]
10. The number of stickers that Pamela had is 40% of the number of stickers that Zoe
had. If the two children had 952 stickers altogether, how many stickers did Zoe
have?
Ans: _____________________[3]
1 shape 2 shapes 3 shapes

5 that of Chek Khoon and Chek Khoon is 4kg more than Darren. If
11 2
11. Bala’s weight is
6
the average mass of the three boys is 44 kg, what is the mass of Chek Khoon?
Ans: _____________________[4]
12. A restaurant had sold 3 times more honey roasted chicken than black pepper chicken.
If 90 less honey roasted chicken had been sold, the number of black pepper chicken
would have been twice the number of honey roasted chicken.
a) How many honey roasted chickens were sold?
b) How many black pepper chickens were sold?
Ans: _____________________[4]
13. If Andy buys 3 story books and 5 comic books, he will have $24 left. If he buys 5
story books and 3 comic books, he will need $16 more. Given that a comic book is
sold at $18, how much does Andy have?
Ans: _____________________[4]

14. In the figure below, 1, 2, 3, 4 and 5 are all squares. What is the ratio of the total area
of 1 and 2 to the total area of all the squares?
2 3 4 5
1 of the pupils like basketball,
11 3
Ans: _____________________[4]
15. Plastic tables were sold at $75 each and wooden tables were sold at $80 each. There
were 150 plastic tables in a shop at first. After selling all the tables, the shop received
$12850. How many wooden tables were sold?
Ans: _____________________[4]
16. In a class,
3
1 of the remainder like chess, the rest like
4
swimming. There are 10 pupils who like chess. Each pupil only likes one sport. What
is the number of pupils who like either chess or basketball?
Ans: _____________________[4]
1

17. Mr. Wong hired a transport company to deliver some glass products for him. For
every safely transported product, the company charges $16.5. For every product that
was broken on the way, the company compensates $66. Mr. Wong was charged
$15,015 for the delivery. 90% of the products were delivered safely. How many
products were broken on the way?
11 4
Ans: _____________________[4]
18. Mindy and Ryan had an equal amount of cookies. Each day, Mindy ate 23 cookies
and Ryan ate 8 more cookies than Mindy.
a) How many days had passed when Mindy had 149 cookies left and Ryan had 53
cookies left?
b) How many cookies did each of them have at first?
Ans: _____________________[4]

1. An equilateral triangle and a right-angled triangle are placed next to each other as in
the figure below (not to scale). HAE is a straight line. Find ∠ EHB
(1) 30o (2) 60o
(3) 120o (4) 150o ( )
2. Which of the following has the largest value?
(1) 25% (2)
1 (2)
4 (4)
11 5
1
5
(3) 0.26 (4)
24 ( )
1000
3. The average mass of a bag of rice and 3 bags of flour is 14 kg. If the bag of rice
weighs 17 kg, what is the average mass of the three bags of flour?
(1) 6 kg (2) 8 kg
(3) 10 kg (4) 13 kg
( )
4. Amanda had 6 m of ribbon. She used 60% of the ribbon on the first day and of the
remainder on the second day. How many centimeters of ribbon did she have left?
(1) 60 cm (2) 90 cm
(3) 180 cm (4) 240 cm ( )
5. Sarimah bought two similar pizzas. She saved
2 of a pizza for her mother and
3
shared the rest among herself and 5 friends. What fraction of a pizza did each child
get?
(1)
3
2
9
(3)
15
2 ( )
15
A
B
C
H E

6. The table below shows the number of maximum marked papers scored by pupils in a
11 6
class from August to November
Month Number of maximum marked papers
August 33
September 49
October ?
November 52
The class scored an average of 46 maximum marked papers a month. How many
maximum marked papers were there in October?
(1) 48 (2) 50
(3) 134 (4) 184
( )
7. Knowing that 483 x 7 = 3381, find the value of 483 x 0.07
(1) 3381 (2) 338.1
(3) 33.81 (4) 3.381
( )
8. Sally bought an LCD with a 30% discount and 7% GST for $749. What is the
original price of the LCD?
(1) $700 (2) $1000
(3) $1042 (4) $1200
( )
9. Below is the parking charges at the car park of a shopping centre
First 2 hours $2.50
Subsequent 30 minutes or part thereof $1.50
Kelvin entered the car park at 3.45 pm. He paid $9.50 for parking charges when
leaving the car park. What is the latest time possible that he left the car park?
(1) 7.15 pm (2) 7.45 pm
(3) 6.15 pm (4) 6.45 pm
( )
10. Josh wrote down two numbers on a piece of paper. 40% of the larger number is 84.
The difference between the two numbers is 78. What is the smaller number?
(1) 288 (2) 34
(3) 132 (4) 210 ( )
11. How many eighths are there in ?
(1) 13 (2) 16
(3) 24 (4) 26 ( )

12. ABCD is a parallelogram. ∠ABD = 47o. ∠ BCD = 105o. What is ∠ BDA?
A B
(1) 28o (2) 38 o
(3) 152 o (4) 208 o
5 (2)
5 (4)
11 7
( )
13. 3 sticks have a total length of 192 cm. What is the average length?
(1) 32 cm (2) 64 cm
(3) 96 cm (4) 576 cm
( )
14. There are 184 red, white and green marbles altogether. The number of green and
white marbles is 54. There are 150 red and white marbles altogether. What fraction
of the total number of marbles is the number of white marbles?
(1)
36
5
46
(3)
51
5
97
( )
15. Mrs. Liu made 4.82 l of lemon tea in a container. She poured them into 8 cups, each
of which had a capacity of 352 ml. What was the volume of lemon tea remaining in
the container?
(1) 2.004l (2) 2.04l
(3) 2.24l (4) 2.4l
( )
16. In an aquarium, the ratio of the number of goldfish to that of clownfish is 2: 7. The
ratio of the number of clownfish to that of angelfish is 5: 2. What is the ratio of the
number of goldfish to that of angelfish?
Ans: _____________________
D C

17 × . Remember to simplify your answer.
5 l left. How much milk was there in the fridge at first?
11 8
17. Calculate
3
34
9
Ans: _____________________
18. Uncle Tan kept some milk in the fridge. After his children drank 1
1 l of milk, there
2
was 1
6
Ans: _____________________
19. If a pen costs $1.20 and I have $11, how many pens can I buy at most?
Ans: _____________________
20. The following diagram is not drawn to scale. Find ∠ i, given that WSX and YSZ are
straight lines.
Ans: _____________________
W Z
154o
i 87o
X
Y
S

21. The average of the two numbers A and B is 80. The average of those two numbers
and a third number C is 85. What is the value of C?
11 9
Ans: _____________________
22. 9 x 5.6 = 5.6 + 5.6 + 5.6 + 5.6 x A
Find the value of A.
Ans: _____________________
23. Benjamin received 72 marks for Mathematics, 83 marks for Physics and 67 marks
for Chemistry. What is his average score for the three subjects?
Ans: _____________________
24. What are the common factors of 24 and 36?
Ans: _____________________

25. A convenience store collects an average of $5839 a day. How much does the store
12 0
collect in a week?
Ans: _____________________
26.
The sum of the area of all the faces of a solid cube is 54 cm2. What is the volume of
the cube?
Ans: _____________________
27. A journey 12.8 km long was divided into 9 parts. Of these 9 parts, there were 5 parts
that were 0.91 km long each and 3 parts that were 1.32 km each in length. What was
the length of the remaining part?
Ans: _____________________

28. There are 10 200 people in a village. 30% of the villagers are children and the rest
are adults. 40% of the adults are working outside the village. How many adults are
working outside the village?
93o D
37o 43o
12 1
Ans: _____________________
29. Calculate ∠ ABD in the figure below. Note that it was not drawn to scale.
Ans: _____________________
30. Lucy bought 6 similar skirts and 4 similar shirts for $162. The price of 2 shirts is
equal to the price of 3 skirts. How much is a shirt?
Ans: _____________________
A
B C

1. Stanley withdrew some money from the bank to purchase some goods. He spent
1 of the remainder on a game console. He still had
12 2
$1144 to buy a new laptop and
4
half of what he withdrew from the bank. How much did Stanley withdraw from the
bank?
Ans: _____________________
2. 5 similar bags of potatoes have a total mass of 86.25 kg. A porter can carry a
maximum of 60 kg. How many porters are needed to carry 20 of such bags?
Ans: _____________________
3. The distance from Mary’s house to her grandmother’s house is 14 km. Mary had
cycled 3.115 km from her home to her grandmother’s. What percentage of the
journey had she covered?
Ans: _____________________

4. In the figure below, there are two adjacent squares and the shaded shape overlaps
both. The larger square has a side of 36 cm and the smaller square has a side of 20
cm. What is the area of the shaded shape?
12 3
Ans: _____________________
5. The ratio of Charles’ stamps to Mark’s stamps to Shawn’s stamps is 3: 7: 9. Mark
has 168 stamps.
a) How many stamps do the boys have altogether?
b) After Mark gives some stamps to Charles, the two boys have the same
number of stamps. How many stamps did Mark give Charles?
Ans: _____________________

6. There are some flowers in a garden. 0.2 of the flowers are daisies and the remaining
5 of the roses are red and the rest are white. There are 24 more red
12 4
flowers are roses.
7
roses than white roses.
a) How many white roses are there?
b) How many daisies are there?
Ans: _____________________[4]
7. In the figure below, AB = BC = CA. FCD, BCE and ACG are straight lines. The
figure is not to scale. Find
a) ∠ CED
b) ∠ ACF
Ans: _____________________[4]
A
F
C
E
G
B
D
42o
31o

8. Mrs. Foo bought 3.3 kg of fish at $1.59 per 100g, 2.8 kg of beef at $4.89 per 500 g,
and 7 packages of vegetable at $0.86 per package. How much did she pay for all the
goods?
12 5
Ans: _____________________[4]
9. The ratio of the number of curry puffs to the number of cakes in a shop is 1: 4. A
curry puff costs $2. Each cake is sold at $5. The total amount that the shop will
receive from selling all the cakes and curry puffs is $1892. How many cakes are
there?
Ans: _____________________[4]
10. A shop had 280 pens. 70% of the pens were blue. A week later, a number of blue
pens were sold and 60% of the remaining pens were blue. How many pens altogether
were there in the shop a week later?
Ans: _____________________[4]

11. A textbook and a bag cost $30. A textbook and a comic book cost $22.5. David
bought 4 textbooks, 2 bags and 1 comic book for $100. What is the cost of a comic
book?
12 6
Ans: _____________________[3]
12. Marion and Nina had some beads in the ratio 5: 7. If Marion gave Nina 24 beads,
Nina would have three times as many beads as Marion had. How many beads did
Marion have at first?
Ans: _____________________[4]
13. What fraction of 4l is 350ml? Express your answer in the simplest form.
Ans: _____________________[3]

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