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Primary 5 Mathematics

Ace The Exams withMy 24/7 Personal Tutor

Detailed Explanation of ALLQuestions

by Tutor in Virtual Classroom

Consulting Editor: Dr Zhang Yong

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Outreach Edusys Pte LtdALL RIGHTS RESERVED. No part of this book and theaccompanying CDROM may be reproduced or transmitted inany form or by any means, electronic or mechanical,including photocopying, CD duplication, replication, or by anyinformation storage and retrieval system, without

permission in writing from the Publisher.

First Published 2010

ISBN: 978-981-4275-16-3

Published by:Outreach Edusys Pte Ltd(CRN: 200006571H)

Distributed by:Outreach System Pte Ltd20 Shaw Road, #07-03Singapore 367956Tel: +65 91162024

Fax: +65 35107345Email: [email protected]

Website: http://www.orlesson.orgPlease check URL regularly for new releases and promotions.Sample chapter and lesson for each title can be downloaded from above URL.Purchase online or call/SMS 9116-2024 today.FREEhome delivery (one location within Singapore) for purchases above S$60/=.

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Preface

This book is written to assist pupils in preparing for the Primary 5 Mathexaminations. There are a total of 10 specially crafted examination stylepapers. The main features of the papers are as follows.

1. Questions are modeled after examination papers set by top well knownSingapore schools.

2. Questions are crafted to highlight common misconceptions in each ofthe topics.

This book comes with a multimedia CDROM. The CDROM contains detailedexplanation of each question in each paper by our teacher. These lessonsensure 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 interactivediagnostic modules consisting of multiple choice questions. The incorrectoptions to each question are carefully crafted using specific mis-conceptionin learners. If your child submit a wrong answer, our system will dynamicallydiagnose your childs problem and bring him/her an explanation on why he/sheis wrong, and what is the correct way to the solutions of such questions.

Visit http://www.orlesson.orgtoday.

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Contents

Semestral Assessment 1 Mock Paper 1 Paper 1Paper 2

18


1523


3038


4553


6067


7480


8894


101108


115122


129137

Suggested Answers 144

FreePast Year School Exam Papers (from 2004 onwards) for download and

print.Visit http://www.orlesson.orgfor links and download instructions.

Subscribeto Outreach Lesson Online Access for hundreds of hours oflessons, and thousands of questions. Less than 70 cents a days for unlimitedaccess to ALL subjects. For details, visit http://www.orlesson.org.

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Semestral Assessment 1: Mock Paper 1

Paper 1 (Duration: 50 mins)

Questions 1 to 10carry 1 mark each andQuestions 11 to 15carry 2 marks each. For eachquestion, 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

( )

2. How many quarters are there in 32

1?

(1) 3 (2) 5(3) 10 (4) 14

( )3.

In order to have5

3of the set below shaded, how many more squares must be

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 ( )

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6. How many lines of symmetry are there in this letter?

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 1lof fuel. 300lof fuel was consumed in a month. Howmany kilometers did the car travel in that month?

(1) 2 769 (2) 27 690(3) 276 900 (4) 2 769 000

( )

9. Marys weight is 27kg. She is3

5as 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 bought1

32

kg of flour. She then used5

18

kg to bake cakes. After that, her

mother gave her another1

14

kg of flour. How much flour did she have eventually?

(1)

7

3 8 kg (2)

1

38 kg

(3)1

24

kg (4)7

18

kg ( )

12. Caroline has 6 times as many stickers as Denise, but only half as many as Rachelhas. If Denise has 154 stickers less than Rachel, how many stickers does Carolinehave?(1) 14 (2) 77(3) 84 (4) 160

( )

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13. Examine the pattern below carefully. How many sticks are there in the 18thpattern?

(1) 37 (2) 47(3) 57 (4) 67

( )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.

(1) 3o (2) 87o

(3) 90o (4) 273o

( )Questions 16 to 25carry 1mark each. Write your answers in the spaces provided. Forquestions 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: __________, __________, __________, __________

93o

A

O

B

C

Pattern 1 Pattern 2 Pattern 3 Pattern 4 Pattern 18

?

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18. What is the correct value of A?

Ans: _____________________19. Find the total of the first 6 multiples of 7

Ans: _____________________20.

Express9

49as a mixed number

Ans: _____________________

21.Calculate

9

5x108

Ans: _____________________

7 503 906

7 000 000

A

3 906

3 000

900

6

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22.Calculate 3

5

2+2

2

1and simplify your answer.

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: _____________________

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Questions 26 to 30carry 2 marks each. Show your working clearly in the space beloweach question and write your answers in the spaces provided. For questions which requireunits, 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?

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 gave4

1of these nails to his colleague and used

12

1of these nails to

make tables. How many nails did he have left?

Ans: _____________________

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29. An oil producer is filling two empty barrels with oil. The first barrel fills at a rate of90lper minute. After 1 minute, he starts filling the second barrel at a rate of 105lperminute. How many minutes will it take for the second barrel to contain the sameamount of oil as the first barrel?

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 Johnhad. If John spent $1 572 and Mary spent $2 892, how much did each of them haveat first?

Ans: _____________________

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Paper 2 (Duration: 1 hr 40 mins)

Questions 1 to 5 carry 2 marks each. Show your workings clearly in the space below eachquestion 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 andteam D collected a total of $17 245. Team A and team C collected the same amountof money. Team D collected 6 times as much money as team B. How much moneydid team D collect?

Ans: _____________________2.

A shop is selling gloves for Christmas.8

3of the pairs are red,

4

1of the pairs are

white and the remaining 114 pairs are dark blue. How many pairs of gloves does theshop 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 muchdid she spend on the chicken and the beef?

Ans: _____________________

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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 puffsthan 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?

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: _____________________

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For Questions 6 to 18, show your workings clearly in the space provided for eachquestion and write your answers in the spaces provided. The number of marks awarded isshown 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 tocomplete the symmetric figure

Ans: _____________________[4]7. The average number of Peters stickers and Jordans stickers is 924. Peter has 232

more stickers than Jordan. Albert has 172 stickers more than Peter. What fraction ofAlberts stickers are Jordans stickers? Write your answer in its simplest form

Ans: _____________________[4]

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8. Three years from now Dans fathers age will be thrice Dans age. How old is Dansfather now if he was 34 years old when Dan was born?

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 entireroad?

Ans: _____________________[4]10. Find the perimeter of the figure below.

Ans: _____________________[4]

5 cm

8 cm

13 cm

36 cm

9cm

7c

m

4cmA

B

5cm

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11. A shop sells carpets at $15 per square meter. Uncle Tay wants to buy a carpet for hisliving room, which is 10m by 7m. How much does he have to pay?

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 boxin 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]

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14. Create a tessellation in the space provided by drawing 4 more unit shapes.

Ans: _____________________[4]15. Alex, Ben and Carl collected a total of 2 151 stamps. Alex collected 224 stamps

fewer Carl. Bens collection was 3 times as many as Carls. How many stickers didCarl have?

Ans: _____________________[4]16. How many lines of symmetry are there in the figure below, given that all line

segments are equal

Ans: _____________________[3]

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17. A water tank 90 cm long, 40 cm wide and 15 cm high needed to be filled by two tapsA and B. Tap A, which had a flow rate of 12lper minute, was turned on first. After

2

11 minutes, tap B, which can flow only

3

1as fast as tap A, was turned on and both

tap continued to fill the tank. Since both taps were turned on, how long did it take tofill 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]

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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

( )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 below0.7, 1.4, 0.8, 1.3, ___?___, 1.2(1) 0.6 (2) 0.9(3) 1.7 (4) 2.1

( )

Marks

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7. MNPQ is a trapezium. Which of the following shows a parallel pair of lines?

(1) MQ and XY (2) WZ and XY(3) WZ and YT (4) MQ and WZ

( )

8. Aunt Sophie bought52 kg of meat. Aunt Irene bought

74 kg of meat more than aunt

Sophie. How many kg of meat did both of them buy?

(1)35

8 (2)

35

22

(3)35

34 (4)

35

131

( )

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 ofsugar 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

( )

YZ

M W T X N

PQ

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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?

0

500

1000

1500

2000

2500

3000

3500

4000

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 4.5lof water. What fraction

of the tank is not filled?

(1)3

1 (2)

3

2

(3)13

9 (4)

13

4

( )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

( )

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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 25carry 1 mark each. Write your answers in the spaces provided. Forquestions which require units, give your answers in the units stated.

16. Given that MN is the line of symmetry of the figure below, shade two more squaresto complete the figure.

17.A child ticket to enter the zoo costs

5

2that of an adult ticket. Mrs. Lim and her

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: _____________________

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19. Form the biggest even number using all the digits given

3, 6, 9, 5, 1, 2

Ans: _____________________20.

Tony spent4

1of his money on a shirt and

5

3of the remaining money on a pair of

jeans. What fraction of his money did he spend? (Use the simplest form for youranswer).

Ans: _____________________21.

At a concert,5

1of the audience were children and the rest were adults. There were

144 more adults than children. How many people were there in the audience?

Ans: _____________________22. What is the area of the triangle below?

Ans: _____________________

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23.Mrs. Chan gave

9

7of a cake to her 3 children to share. Each child had the same

portion. What fraction of the cake did each child get?

Ans: _____________________24.

Express the value of1000

325

10

8

100

14+++ in decimal form.

Ans: _____________________25.

Fann has5

32 times the number of stamps that Alex has. What is the ratio of the

number of Alexs stamps to Fanns stamps?

Ans: _____________________

Questions 26 to 30carry 2 marks each Show your working clearly in the space beloweach question and write your answers in the spaces provided. For questions which requireunits, 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

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27. There are 4 teams in the Federation Cup tournament. Every team has to play onematch with each of the other teams. How many matches are there in the tournament?

Ans: _____________________28.

Selina started doing her homework at 7:45 PM. It took her 312

5hours to complete all

the homework. At what time did she finish the task?

Ans: _____________________

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29. The table below shows the parking rates at a shopping mall. Vanessa parked her carfrom 3.40 PM to 5.25 PM. How much money did she pay more the parking?

Parking rates

1sthour $2.50

Every additional hour or part there of $1.90

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

T41o

58o

80o

33o

x

y

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1.A survey at a concert showed that

25

1of the audience came by car,

4

1came by bus

and the rest came by train. If there were 180 people who came by car, how manypeople 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 thepainting 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 hetakes route 1, he has to cycle 4 km 300m. The total length of route 1 and route 2together is 8 km 200 m. What is the total distance that Harry travels to the basketballcourt in a week? Give your answer in km.

Ans: _____________________

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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

Ans: _____________________[4]7.

Jeffery spent5

3of his money on 18 cakes and 21 toy robots.

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]

3 cm

7 cm

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8. Some girls bought a packet of strawberries to share among themselves. If each girltook 7 strawberries, there would be 4 extra strawberries. If each girl took 8strawberries, there would be 4 strawberries short.a) How many strawberries did they buy?b) How many girls were there?

Ans: _____________________[4]9.

Freddie, Jason and Malik each had some toy cars. Jason and Malik had14

11of what

Freddie had, and Malik had15

7of what Jason had.

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 shepay for the pens?

Ans: _____________________[3]

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11. Ross paid $85 for 10 notebooks and 4 files. Each notebook cost as much as 3 files.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]

30 cm

18cm

10cm

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13.

7

2of 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?

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

1

that of the body. How long is the whale skeleton?

Ans: _____________________[4]15.

A train departed from Clementi station.11

5of the passengers were adults.

4

3of the

children were boys. The number of adult men is4

1that of women. There were 114

less girls than boys. At the next station, Dover, 9 women and 5 boys boarded thetrain.a) How many passengers were there altogether when the train left ClementiStation?b) How many male passengers were there on the train when it departed fromDover station?

Ans: _____________________[4]

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16. Mrs. Liu bought 5 packets of sugar, A, B, C, D, and E. The mass of sugar in eachpacket is 500g, 600g, 800g, 900g and 1kg, respectively. Mrs. Liu kept one packet forherself and sold the other packets to Mrs. Chan and Mrs. Lim. Mrs. Lim boughttwice the amount of sugar that Mrs. Chan bought. Which packet did Mrs. Liu keepfor herself if she kept more than 500g?

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 arethere to arrange the four pupils?

Ans: _____________________[4]18.

Seven years ago Mrs. Gohs age was3

16her sons age. Now her age is three times

her sons age. What is Mrs. Gohs age now?

Ans: _____________________[4]

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1. What is the result of95 x 63

(1) 14 (2) 28(3) 35 (4) 42

( )

2.

5

3of the people at a cartoon movie show are children.

9

4of the children are girls.

What is the fraction of the number of girls to the number of people at the show?

(1)31 (2)

157

(3)2

1 (4)

15

4

( )

3.The ratio of the number of boys to the number of girls in a class is 3:5. If there are 32pupils 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

Y

Z

T

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5. In the following figure, the area of the shaded shape is 13 cm2. What is the area ofthe 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.

Irenes weight is

4

3of Davids weight. Davids weight is

9

8Peters weight. Express

Peters weight as a fraction of Irenes weight.

(1)13

11 (2)

36

59

(3)2

3 (4)

3

2

( )

12 cm

9cm

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10. What is the area of the shaded triangle?

(1) 312 cm2

(2) 224 cm2

(3) 210 cm2 (4) 88 cm2( )

11.Which of the following is greater than 3

2?

(1)5

4 (2)

7

4

(3)9

4 (4)

11

4

( )

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

( )

29or

X O Y

28 cm 11 cm

16

cm

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14. In a running competition, the total time taken by the 2 boys was 350 seconds whilethe total time taken by the 3 girls was 555 seconds. Find the average time that a childtook to complete the race.(1) 102 seconds (2) 175 seconds(3) 181 seconds (4) 270 seconds

( )

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

( )Questions 16 to 25carry 1 mark each. Write your answers in the spaces provided. Forquestions which require units, give your answers in the units stated.

16.

Kelvin bought a pair of skates with 7

5

of his money. He bought a calculator with 5

1

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 32m

2

. Eachcorner of a square at a lower row is at the midpoint of the side of the square of therow above. What is the perimeter of the figure?

Ans: _____________________

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18. While reading a book, Jerry noted that the product of the two facing pages that hewas reading is 600. What are the page numbers of the two facing pages that Jerrywas reading?

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 muchwas each box of shuttlecocks?

Ans: _____________________20. Kelvin and Elizabeth shared some sweets. The ratio of Kelvins sweets to Elizabeths

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

+

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22.Jonathan had

3

2as many crayons as Ali. After Ali received 4 new crayons and

Jonathan received 10 new crayons, they have the same number of crayons. Howmany 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 have15 lollipops. Each box was sold at $12.30. After selling all the boxes, how much didshe earn?

Ans: _____________________

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Questions 26 to 30carry 2 marks each Show your working clearly in the space beloweach question and write your answers in the spaces provided. For questions which requireunits, give your answers in the units stated.

26. Find the area of the figure below, which consists of a square, a rectangle, and 3identical triangles.

Ans: _____________________27. Ali counted his savings and noted that all of his money was in $2, $5 and $10 notes.

3

1of the notes are $2,

6

1are $5 and the rest are $10. He had saved $1 794 in total.

What is the total value of $5 notes had he saved?

Ans: _____________________

3 cm

4 cm

7 cm

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28.Darren needed to run 10km for training. He had run

9

14 km. How many more

kilometres did he have to run to complete the training? Express your answer correctto 2 decimal places.

Ans: _____________________

29. Jimmy can make 30 paper birds every hour. Philip can make 50 paper birds everyhour. 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 asJimmy?

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: _____________________

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1.Helen cycles

3

27 km to school. Jack cycles

8

5of that distance to school. What is the

difference in distance they have to cycle to school? Express your answer as a fractionin its simplest form.

Ans: __________________km2. 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

24m

A B

D C

M

N

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3. The ratio of the amount of petrol Mr. Quek used in January to the amount of petrolhe used in February was 4:7. He used 60lof petrol in January. How much did hehave to pay for petrol in total if the price of petrol was $2.50 per litre during thosetwo months?

Ans: _____________________4. Nurbaya wanted to make 24lof strawberry drink from a 1.5lbottle 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 2 lofsyrup to make the drink sweeter. Find the new ratio of syrup to water in the newdrink.

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 ofproduct 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: _____________________

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6.Nancy had some stickers.

3

1of them were used to make a scrapbook. She then

divided32 of the remaining equally to her three friends. After making the scrapbook

and sharing stickers to her friends she had 42 stickers less than what she had at thebeginning. 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 was5

3the number

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. Fahans total number of coins is only4

1

that of Suriyana.a) What is the ratio of the number of 20-cent coins Suriyana had to the numberof 50-cent coins that Fahan had?b) What is the ratio of the amount of money that Suriyana had to the amount ofmoney that Fahan had?

Ans: _____________________[4]

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8. Find a number that gives a quotient of 189 and a remainder of 17 when divided by55.

Ans: _____________________[3]9.

Mr. Ong spent12

5of his working hours working with his computer. He worked for

3

1of the day. How many minutes did he work with his computer?

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]

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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?

Ans: _____________________[4]12. All the people at a party shake hands with one another. How many handshakes are

there if there area) 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]

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14. Study the following pattern:

...

51

41

541

4

1

3

1

43

1

3

1

2

1

32

1

=

=

=

Use the above pattern to calculate

2019

1...

54

1

43

1

32

1

++

+

+

Give your answer in the simplest form.

Ans: _____________________[4]15.

Mr. Green needed to go from A to B. He had travelled8

3of the distance and still

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 105m3of water. Its base is 5m

wide and 7m long. What is the depth of the tank?

Ans: _____________________[4]

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17. What is the area of the right-angled trapezium ABCD as shown below?

Ans: _____________________[4]18. 36 chickens and dogs have a total of 100 legs. How many chickens are there?

Ans: _____________________[4]

A B

CD

14 cm

26 cm

11cm

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1. What is the area of triangle PQR?

(1) 66 cm2 (2) 175 cm2

(3) 225 cm2 (4) 297 cm2

( )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 18

0less than y. (The figure is not drawn to

scale).

(1) 99o (2) 81o

(3) 36o (4) 9o

( )

xy

25cm

14 cm

R

P

Q

P

S

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4. What is the value of a, given that AB and CD are straight lines?

(1) 32o (2) 48o

(3) 60o (4) 122o

( )

5. Nelson, Jordan and Joe had a number of cookies. Nelson had 2 times the number ofcookies that Jordan had. Joe had the same number of cookies as Nelson. What is theratio of the number of cookies that Nelson had to the total number of cookies of allthree 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. Theperimeter 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 finalvalue?(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

a

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10.How many sixths are there in

2

13 ?

(1) 0 (2) 5(3) 15 (4) 21

( )

11. Mr. Kohs garden is 25m long and 12m wide. The cost of mowing 1m2of 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 spent3

2of a Sunday practicing the piano.

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

19cm

8cm

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15. The graph below shows Mrs. Ongs grocery expenses for her family from January toMay.What is Mrs. Ongs average grocery expense for the five months?

$0

$20

$40

$60

$80

$100

$120

$140

$160

$180

$200

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 Ronaldmade 5 times as many paper stars as Sylvia, how many paper stars did Alan make?

Ans: _____________________

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18.Half of the pens at a stationary shop are blue.

8

1of the remaining pens are red, while

the remaining pens are black. If there are 210 more black pens than red pens, howmany 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 ofcans 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

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21. Danny and Fahan had $54 in total. If each boy was given another $8, the ratio of theamount that Danny had to the amount that Fahan had became 3:4. How much moneydid Fahan had at first?

Ans: _____________________22. Arrange the following fractions in ascending orders

5

7,

7

5,

5

4,

4

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 in4

32 months?

Ans: _____________________25. Fill in the box with an appropriate number

2

12

8=

Ans: _____________________

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Questions 26 to 30carry 2 marks each Show your workings clearly in the space beloweach question and write your answers in the spaces provided. For questions which requireunits, give your answers in the units stated.

26. The number of chocolate candies in a box is between 60 and 100. If 4 or 7 childrenshare the box, each of them can have the same amount of candies. How many

chocolate candies are there in the box?

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 if12

52

4

15 =A

Ans: _____________________

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29. If a bus can carry 25 passengers, what is the minimum number of buses to carry 7groups of passengers, each of which have 32 passengers?

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 fillthe pool completely if both taps are turned on at the same time?

Ans: __________________hours

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1.Wu Wei was given a number of questions as homework. He answered

2

1of the

number of questions on the first day. On the second day he answered10

1of the

number of questions. If he continued to answer10

1of the number of questions every

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: _____________________

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3. What is the area of the shaded part in the figure below if each square has sides of 3cm?

Ans: _____________________4.

A piece of cloth is cut into two pieces. The area of the bigger piece is12

7that of the

original piece. If the area of the bigger piece is 138 cm2more than that of the smallerpiece, 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: _____________________

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6. In the figure below, what is the area of the square if the averaged perimeter of thesquare and the triangle is 59 cm?

Ans: _____________________[4]7.

The volume of petrol in barrel A is 4

1

the volume of petrol in barrel B. 24l of petrol

is moved from barrel B to barrel A. The volume of petrol in barrel A is now2

1the

volume of petrol in barrel B. How much petrol is there in barrel B in the end?

Ans: _____________________[4]

28 cm

12cm

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8. Examine the pattern of the following figure. Find the missing number.

Ans: _____________________[4]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 toyrobots. How many dolls did the shop have at first?

Ans: _____________________[3]

89 115

1020

5 117

258

4500

12

205 397

4816

?

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10.Joey, Zhong Ren and Suriya had a total of $1 326. After Joey spent

5

2of his money,

Zhong Ren spent7

1of his money, and Suriya spent

3

1of her money, all of them had

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

is11

4the 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?

Ans: _____________________[4]12.

Jane had 4

1

of his brothers money. The product of their money is $400. How much

money did Jane have?

Ans: _____________________[3]

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13. A pair of shoes is 9 times as expensive as a pair of socks. If 3 pairs of shoes and 5pairs of socks cost $192, how much is a pair of shoes?

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 22

1times as heavy as a bag of powder. The average mass of the two

bags is 33.25 kg. What is the mass of the bag of powder?

Ans: _____________________[4]

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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 thenumber of pencils. How many pens were there in the shop at first?

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 ofnotepads Ronald had is 7: 3. How many more notepads did Alice buy?

Ans: _____________________[4]

19 cm

15cm

15cm7

cm

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1.Five pupils shared a 9ljug of orange juice. How many litres of orange juice did eachpupil get?

(1) l13

5 (2) l

13

8

(3) l9

5 (4) l

5

41

( )

2. Write 8.56 in fraction form(1)

25

14 (2)

125

98

(3)25

148 (4)

25

88

( )

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

CD

O

MarksMarks

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5. Each worker in a factory was given 300 short nails, 700 medium nails and 600 longnails. 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

( )

6. There were 45 strawberries in basket A. Basket B had 25 more strawberries thanbasket 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 of9

8

4

13 ?

(1)

9

26 (2)

13

21

(3)9

104 (4)

32

117

( )8. What is the value of 66 + 18 3 + 4 x 5

(1) 48 (2) 92(3) 116 (4) 160

( )

9. A tin contains53 kg of candies. Mrs. Chua packed all the candies in the tin into 9

bags, each weighs the same. What was the mass of each candy bag?

(1) kg5

27 (2) kg

5

4

(3) kg15

1 (4) kg

5

12

( )

10. A rectangle43 m wide has an area of 9m2. What is its perimeter?

(1)2

17 m (2) 12m

(3)4

312 m (4)

2

125 m

( )

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11.Ding Meis water bottle was full and had l

2

3of water. She drank l

10

3and poured

away l4

1of water. What was the fraction of the amount of water left in Ding Meis

bottle to the full bottle?

(1) 30

19

(2) 20

19

(3)20

11 (4)

20

1

( )

12. Miss Sally needed to use 85cm of ribbon to tie a present. If she had to make 25similar 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 thetable below:

Who had the score that is closest to the average score of all 4 pupils?

Pupils name Test scoreJoey 95Lucy 83

Michael 77Sam 71

(1) Joey (2) Lucy(3) Michael (4) Sam

( )

15. Fatimah needed to walk 1.8 km to school. She had walked 216m. What percentage ofthe journey did she still have to walk?(1) 12% (2) 13.64%(3) 75% (4) 88%

( )

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16. Write 8 006 500 in words.

17. What is the remainder when dividing 5603 by 7?

Ans: _____________________

18. What fraction of 5km is 1300 m? Provide the simplest form for your answer.

Ans: _____________________19.

Express

5

23km in metres.

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: _____________________

KM N

PQ

H

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21. Mei Mei, Jing Jing and Hui Hui were given the same homework. Mei Mei had done

4

1of the homework. Hui Hui had done

2

1of the homework. Jing Jings completed

portion of the homework is exactly midway between Mei Meis and Hui Huis. Whatfraction 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: _____________________

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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, Anncollected another 29 stamps. How many stamps did Ann have in the end?

Ans: _____________________Questions 26 to 30carry 2 marks each. Show your working clearly in the space beloweach question and write your answers in the spaces provided. For questions which requireunits, give your answers in the units stated.

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 =3

7HC. Find the area

of the shaded triangle.

Ans: _____________________

A B

CD H

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28.There were 592 apples and pears in a fruit shop. After

9

4of the apples and

7

2of the

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. Whatwas 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. Howmany children were there at the concert?

Ans: _____________________

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1. Grapes were sold at $0.65 per 250g in a market. Mr. Khoo bought 3.25 kg of grapes.How much did he have to pay?

Ans: _____________________2. Find the area of triangle ACD in the figure below.

Ans: _____________________

A

BC

D

22 cm8 cm

16cm

7cm

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3. Three packets of candies had an average mass of 903.6g. The packet of apple candiesweighed twice as much as the packet of strawberry candies. The packet of mango

candies is5

4the mass of the packet of strawberry candies. What is the mass of the

packet of apple candies? Express your answer up to 2 decimal places.

Ans: ___________________kg4. 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 boxesare identical and the cookies boxes are also identical. What is the total mass of 2boxes 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 8lmore than tap B. However, 56.5lofwater 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: _____________________

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6.When Tom received his salary, he gave his mother

4

1his salary. He then used

7

1of

the remaining amount plus $54 to pay his bills. After that, he spent half of theremainder plus $27 to buy a computer. Finally, he saved the remaining $846. Howmuch 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 madeof plastic. The number of plastic pieces is twice the number of wooden pieces. Ifthere are 32 wooden chairs, what is the ratio of the number of plastic chairs to that ofwooden tables?

Ans: _______________[4]

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8.Betsy is 1

2

1m tall. Her brother is

6

1m taller than she is. What is the average height

of the two children? Round off your answer to 2 decimal places.

Ans: _______________[4]9.

Nicole read

5

1of a magazine on Friday and

4

1of the remaining on Saturday. On

Sunday she read twice as many pages as on Friday. What fraction of the magazinewas not read?

Ans: _______________[4]10.

The ratio of the cost of an LCD monitor to that of a computer is9

4. The computer

costs $900. What is the average cost of the two devices?

Ans: _______________[3]

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11. Ken bought 3 pairs of jeans and 2 shirts for $90. A pair of jeans was $5 moreexpensive than a shirt. How much did a pair of jeans cost?

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 ofChinese 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]

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14. The total amount of money that Soo Hui and Margaret had is $630. If Margaret gaveSoo 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?

Ans: _______________[4]

15. The total volume of water in tanks A, B and C is 400l. If half of the water in tank Ais taken away and the water in tank B is doubled, and 30 lis added to tank C, the ratioof the volume of water in tank A to B to C will be 3: 2: 1. Find the amount of waterin tank B initially.

Ans: _______________[4]

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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 theset of furniture?

Ans: _______________[4]

17. Use the following digits, each digit only once, to make the smallest even number thatis 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]

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1. The digit 9 in 5 298 637 is the _________________________ place(1) hundreds (2) thousands(3) ten thousands (4) hundred thousands

( )

2. Which of the following numbers will result in 555 000 when being rounded off to thenearest 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

3hours. For how many minutes did he study?

(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

2of his money and used

4

1of his remaining

money to buy some toys. What is the fraction of money left?

(1)4

1 (2)

4

3

(3)12

1 (4)

12

5

( )

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7. Find the area of the figure below (not drawn to scale)

(1) 30 cm2 (2) 36 cm2(3) 42 cm2 (4) 49 cm2

( )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 boxmeasuring 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 Annies left and 8 chairs on her right. There were 10rows 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 172

1km. What was the distance that she jogged each day?

(1) 22

1km (2) 3km

(3) 5km (4) 102

1km ( )

12. In a survey among pupils in a school,5

3 of the participants are boys and6

5 of these

boys likes basketball. The survey also shows that3

1of the girls like basketball too.

What fraction of the pupils like basketball?

(1)30

19 (2)

30

11

(3)

15

14 (4)

6

7 ( )

8cm

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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 thelikely 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

( )

Questions 16 to 25 carry 1 mark each. Write your answers in the spaces provided. Forquestions which require units, give your answers in the units stated.

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: _____________________

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20. How many cubic centimetres are there in 1l 25ml?

Ans: _____________________21.

Pei Xin had6

5lof milk in her bottle. She drank

3

1of the milk in the bottle. How

many liters of milk did she have left?

Ans: _____________________22.

Find x if =3

2

4

X5

Ans: _____________________

23. Express 63.08lin terms of milliliters.

Ans: _____________________24. The table below shows the prices of different fruits at a market.

Fruit Price (per kg)

Apple $3.65Strawberry $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: _____________________

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25.Find X and Y if X : 5 : 9 = 7 : Y : 63

Ans: _____________________

Questions 26 to 30carry 2 marks each Show your workings clearly in the space beloweach question and write your answers in the spaces provided. For questions which requireunits, give your answers in the units stated.

26. Mrs. Lim wants to give some pens to her pupils. If each pupil gets 7 pens, there willbe 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: _____________________

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28. The breadth of a rectangular floor is 15% of its perimeter. The length of the floor is760 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?

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. Choos family used 56 units in January. In February he paid $135 for his bill.a) How much water did Mr. Choos 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 has3

2as many books as Peter has. Fahan has

half as many books as Peter has. If Lixiang has 32 books, how many books do theyhave altogether?

Ans: _____________________

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1. The maximum score for a physics test is 50 marks. What is the highest possibleaverage score for 5 pupils who took the test, if it is known that one of them scored 15marks?

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 $660altogether, how much did Andy donate?

Ans: _____________________

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4. In the figure below, ABCD is a rhombus. What is ABE? The figure is not drawn toscale.

Ans: _____________________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

A

B

C

D E

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6. The table below shows the number of days pupils exercised in a week. What is thefraction 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

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 numberof questions that they have completed?

Ans: _____________________[4]

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9. There are approximately 3300 adults and 1700 children in a stadium. If both abovefigures are corrected to the nearest hundred, what is the largest possible differencebetween these 2 figures?

Ans: _____________________[4]10.

The area of the shaded part in the figure below is 54 cm2. SH =4

1 PK.

What is the area of triangle PQR?

Ans: _____________________[4]

Q

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11. The area of rectangle A is 3 times the area of square B. The unshaded area ofrectangle 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.

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 theremaining pupils received 3 more lollipops. How many lollipops did Miss Chuabring?

Ans: _____________________[4]

A

B

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13. In the figure below, ABC is a right angled triangle at C. Its height is 9 cm and itsbase is 12 cm. 4 such identical triangles are used to form the square MNPQ. Find theside of the square MNPQ.

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 is3

1the area of triangle B. The ratio of area of triangle A to that of

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

BC

M N

P

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15. In a second-hand bookshop, story books are sold at $12 each and comic books aresold at $8 each. At first, there were 50% more story books than comic books. After

some time,3

2of the story books and all the comic books were sold. The shop

received $6400. When all the books were sold, how much would the shop receive?

Ans: _____________________[4]16.

Lucy had3

1the money that Aaron had. After that Aaron spent $45 and Lucys

mother gave her $6. Aaron still had $3 more than Lucy. How much money did Lucyhave at first?

Ans: _____________________[4]

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17.

5

3of Joeys marbles is equal to

7

2the number of marbles that Thomas has. Ben has

twice the difference between Thomas and Joeys marbles. Joey has 48 marbles lessthan 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 thesame amount of water. The height of water level in tank A is half of its height. Findthe height of water level in tank B.

Ans: _____________________[4]

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1. The square below is divided into three parts, A, B and C. The ratio between the areasA 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 heavierthan Bob. How heavy is John?(1) 42 kg (2) 38 kg(3) 33 kg (4) 30 kg

( )

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 10stickers. After that, Adil had 4 times as many stickers as Xiao Mei had. How manystickers did Adil have initially?(1) 38 (2) 40(3) 58 (4) 108 ( )

5.Celine bought 2

5

2kg of sugar and Sarah bought 1

6

5kg of sugar. They used 2

10

1kg

to bake some cakes. How many kilograms of sugar did both of them haveeventually?

(1)10

3 (2)

15

7

(3) 2

15

2 (4) 4

30

7 ( )

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6.Ivy bought

4

7kg of charcoal for a BBQ but only used

5

3of them. How many

kilograms of charcoal were left over?

(1)10

7 (2) 1

20

1

(3) 1 20

3 (4) 1 20

7

( )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 studentswho 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 andIndia. The ratio of the number of Singapore stamps to the number of China stamps tothe number of India stamps that he collected is 1: 1: 2. Ali collected 108 foreignstamps in total. How many local stamps were there?(1) 27 (2) 36(3) 81 (4) 144

( )9. A container having a capacity of 33.5lis 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 (inkg) if each can weighs 340g?(1) 0.2 kg (2) 0.418 kg(3) 0.5 kg (4) 2 kg

( )12. The distance from Hassans house in Serangoon to Patricks 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

( )

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13. What is the value of digit 3 in 238 962(1) 30 (2) 300(3) 3 000 (4) 30 000

( )

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 34

1as a percentage

(1) 0.325% (2) 3.25%(3) 32.5% (4) 325%

( )

Questions 16 to 25 carry 1 mark each. Write your answers in the spaces provided. Forquestions which require units, give your answers in the units stated.

16. In an orchard there are apple trees and pear trees. The ratio of the number of appletrees to the number of pear trees is 5: 9. What is the ratio of the number of pear treesto the total number of trees in the orchard?

Ans: _____________________17. A caterer mixed 2070 mlof 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: _____________________

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18. How many percent of the figure below is shaded?

Ans: _____________________19.

Express125

8in decimal form.

Ans: _____________________20.

6

5Kg 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.

Ans: _____________________21.

3 years ago, Mohammeds age is

3

2that of his brother. He is 15 years old now. How

old is his brother now?

Ans: _____________________

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22. What percentage of the number of days in 2009 is the number of days in September?

Ans: _____________________23. Arrange these number in an ascending order

1000

105 , 0.051, 0.501,100

51

Ans: _____________________24. 56 x 28 = 29 x 28 + 1 x 28 + ______ x 28

Ans: _____________________25. Write 64% as a simplest fraction.

Ans: _____________________

Questions 26 to 30carry 2 marks each Show your working clearly in the space beloweach question and write your answers in the spaces provided. For questions which requireunits, give your answers in the units stated.

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: _____________________

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27.The first carton has 1.25 lof lime juice. The second carton has 2

8

1l of lime juice.

The third carton had 786 mlof lime juice. How many liters of lime juice are there intotal? Round off your answer to 2 decimal places.

Ans: _____________________28.

Kavitha saved8

5as much as Joshua saved. The two pupils saved $1053. How much

is Kavithas 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 lper minute, is used to pump the pool. Howlong 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 certainperiod, 126 more adults than children visited the cinema. The cinema collected$2907. How many adults visited the cinema in that period?

Ans: _____________________

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1. Two boys and eight girls have saved an average of $604. The two boys have savedan average of $592. What is the average of the savings of the girls?

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

1of the balloons. The number of balloons he sold on the second day is

3

2of what he

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: _____________________

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4.Mr. Feng had 225 more tulips than roses in his garden to sell. After selling

5

3of the

tulips and3

1of the roses, he had 858 flowers remaining. How many flowers did he

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) AFDb) EDCc) DAE

Ans: _____________________

A B

CD

EF

G

40o

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6.What is the total mass of a bag that weighs

8

3of 4500g and a box that weighs 48%

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 thefirst 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 to5

4of the previous height for every bounce. Find the total

distance that the ball had travelled when it hit the ground the second time.

Ans: _____________________[4]

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9. Mr. Lee has 4 children. His age is 3 times that of his youngest child. Each child wasborn 3 years before the next one. The total age of the 4 children and the father is 193years. Find the age of Mr. Lees first child.

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 arethere?

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 gave5

3of his

remaining sum plus $53 to his sister. He saved the final $443. How much is Franciss

salary?

Ans: _____________________[4]

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12. An elephant is 5.5 times as heavy as a zebra. The total mass of 2 elephants and 3zebras is 1260 kg. What is the mass of 1 elephant and 4 zebras?

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 overthe 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 amount4

1as much as Benny. How

much money did Kathy raise?

Ans: _____________________[4]

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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 arethere?

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 ofpages in 20 books of each type is 10 000. How many pages are there in a physicsbook?

Ans: _____________________[4]

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17. In the figure below, the rectangle on the left is made by bending a wire. Another wirewith the same length is bent to make the two identical isosceles triangles on the right.What is the area of one isosceles triangle?

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 and5

1on stationeries. He also bought two pairs of shoes

for $150. He saved the remaining $246. How much money did Josh have?

Ans: _____________________[4]

33cm

75 cm

36cm

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1. What is the ratio of31 hours to 56 minutes?

(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 5.2ltank to fill some identical cans, each ofwhich has a capacity of 330ml. What is the maximum number of cans that can befilled 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 onfurniture?(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 ofclothes did Jane buy altogether?(1) 5 (2) 6(3) 8 (4) 4

( )

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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

form8

5of the figure?

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 Pokmon cards.

5

2of what Harry had is equal to

4

3

of what Jack had. What fraction of the total number of cards are Jacks cards?

(1)23

8 (2)

23

15

(3) 8

23 (4) 15

23

( )

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)97 (2)

107

(3)11

7 (4)

12

7

( )

11. The distance from A to B is eight times the distance from B to C. What is the ratio ofthe distance from A to B to the total distance?(1) 1 : 8 (2) 1 : 9

(3) 8 : 9 (4) 9 : 8 ( )

4

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12. The volume of a tank is 56lwhen rounded off to the nearest litre. Which of thefollowing is likely to be the actual volume of the tank in liter?(1) 55.05 (2) 55.49(3) 56.45 (4) 56.51

( )

13. David had $32 left after spending $48. What percentage of his money did he s

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