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1. Number Sense 5

2. Addition and Subtraction 12

3. Multiplication and Division 18

4. Factors and Multiples 23

5. Fractions and Decimals 28

6. Geometry Skills 35

7. Patterns and Symmetry 45

8. Money 53

9. Time 59

10. Measurements-Length, Weight, Volume and Temperature 65

11. Sense of Direction 74

12. Data Handling 81

13. Coding–Decoding 91

14. Answers 93

Contents

Preface

Olympiads are conducted by the Science Olympiad Foundation (SOF) across schools in India for students of classes 1 to 12. The test papers are set as per syllabus prescribed by CBSE, ICSE/ISC and State Boards. These are objective-type tests of 60 minutes duration comprising 35 objective-type (Multiple Choice) questions for classes 1 to 4 and 50 objective-type (Multiple Choice) questions for classes 5 to 12.

The question paper of International Mathematics Olympiad (IMO) consists of four sections:

Section-1: Logical Reasoning

Section-2: Mathematical Reasoning

Section-3: Everyday Mathematics

Section-4: Achievers Section

This series of Maths Olympiad (books 1 to 6) prepares students for various Olympiads and competitive exams held throughout the year. The series is aligned to the latest syllabus of International Maths Olympiad and is also mapped to the primary school curriculum modules prescribed by various international, central and state boards. Structured and section-wise break up of questions have been provided in each chapter to hone different facets of mathematical skill development through Logical Reasoning, Mathematical Reasoning, Everyday Maths and Achiever’s Section.

An additional section called the Activity section comprising mathematical games and puzzles has been provided over and above the requirement of International Mathematics Olympiad to promote mathematical application skills to solve real-life problems thus strengthening higher order thinking skills in students.

Each chapter has been designed as a test paper to test student’s potential for logical thinking, reasoning ability and mathematical aptitude through activities.

Key features:

● MCQ (multiple choice) format to facilitate easy learning

● Attractivefourcolourillustrationsestablishthequestionsandgivestudentssufficientclarity

● Includes a corresponding answer key mapped with all multiple choice questions

● Enhances numeracy skills, thinking and problem solving skills

● Helps students acquire mathematical aptitude

5

Number Sense1Logical and Analytical Reasoning

1. A frog starts from the 12-metre point and jumps three metres at a time. A grasshopper starts from the 16-metre point and jumps one metre at a time. If they both start at the same time, then the frog will reach the grasshopper after ______ jumps.

A. two B. four C. three D. zero

2. Raj has three cards as shown below to create numbers with three digits. Which list shows all possible three-digit numbers he can make using each card only once?

A. 924, 294, 942, 249, 492, 429 B. 294, 290, 292, 129, 249

C. 942, 248, 492, 409 D. None of the above

12 13 14 15 16 17 18 19 20 21 22

6

3. When a number is put into the Function Machine as shown below, a different number comes out. If the number 12 goes in, 6 comes out. If the number 18 goes in, 9 comes out, and if the number 36 goes in, 18 comes out. What will come out, if the number 142 goes in?

A. 214 B. 71 C. 65 D. 80

4. Start at 4. Add 5 four times. Then, add 3. What number are you at?

A. 23 B. 24 C. 13 D. 27

5. The picture below depicts the rounded off number of sweets that a sweet box can hold. What is the maximum number of sweets that the box can hold?

A. 397 B. 256 C. 312 D. 465

6. Which of the following Roman numerals does not have any meaning?

A. XXV B. XXX C. IVV D. XXVII

FunctionMachine outputs

SWEETS400

7

7. Which number should be placed in the box so that the numbers can be seen in descending order?

8,765 6,543 ? 3,120

A. 5,612 B. 2,132 C. 9,786 D. 8,865

8. I have two numbers, A and B. The value of A is two times the value of B. If the sum of these two numbers is 12,600, what is the value of B?

A. 4,200 B. 6,400 C. 9,600 D. 1,200

Mathematical Reasoning

9. If I arrange the digits 4, 6, 5, 2 and 3 in descending order, I will get the number _______.

A. 46,523 B. 65,432 C. 23,456 D. 54,623

10. 99,899 = 90,000 + + 99 What is the missing number?

A. 9,800 B. 990 C. 8,900 D. 9,000

11. The statements given below describe the number of elephants, lions and tigers in a zoo.

Numbers of elephants > Number of tigers Number of lions < Number of tigers What could be the numbers of elephants, lions and tigers in the zoo?

A. 2 lions, 4 tigers and 3 elephants

B. 4 lions, 3 tigers and 2 elephants

C. 4 elephants, 3 tigers and 2 lions

D. None of the above

8

12. Look at the number: 92,860 If the numeral 2 is replaced by numeral 6, then how would the number

change?

A. It would become 40,000 more.

B. It would become 4,000 less.

C. It would become 4,000 more.

D. It will not change.

13. Which symbol will prove the given number sentence true? (42 x 2) – 2 16 x 4

A. less than B. equal to

C.greaterthan D.cannotbedefined

14. Which of the following is another form of 47,298?

A. 400 + 70 + 2 + 9 + 8 B. 40,000 + 7,000 + 200 + 90

C. 40,000 + 7,200 + 90 + 8 D. 4,00,000 + 70,000 + 2,000 + 90 + 8

15. I am thinking of a number. If I add 735 to it and subtract 824 from the sum, the answer will be 124. What is the number I am thinking of?

A. 312 B. 213 C. 200 D. 740

16. What is the missing number?

175 225 275 ? 375

A. 280 B. 300 C. 315 D. 325

Everyday Maths

17.AGrade 4 teacherwrites the number sixmillion, fifty thousand, onehundred thirty on the blackboard. Which of these is the number?

A. 6,05,0130 B. 6,50,0130 C. 6,05,0103 D. 6,00,5130

9

18. Sahil saw the following table showing train fares for travelling to different states from his hometown.

State Train fareP ` 1,907Q ` 1,799R ` 1,970S ` 1,977

Which of the following is true about the above information?

A. Train fare to State P is the highest.

B. Train fare to State R is the lowest.

C. Train fare to State R is higher than the fare to State P but lower than the fare to State S.

D. Train fare to State S is the lowest.

19. John sent a note to Abraham stating the time he would come for football practice. The following was written on the paper.

Come at IV:XXV in the evening. What time did John ask Abraham to come?

A. 5:20 p.m. B. 4:25 p.m. C. 4:52 p.m. D. 5:15 p.m.

20. A society asked for quotations of total expenditure to build a new swimming pool from four companies. Out of the four quotations, it approved the one that gave a cost of rupees nine hundred thirty-three thousandfourhundredfifty.Whichcompanygotthejob?

A. B.

C. D.

Swim n PlayRs. 9,33,405

Swimming Pool MakersRs. 9,33,450

Swimming FunRs. 9,33,415

Play n SwimRs. 19,13,405

10

HOTS (Achiever’s Section)

21. Rajshree is making a number pattern following the rule: prime number, composite number, prime number, composite number,

prime number, composite number What can her number pattern be?

A. 12, 13, 14, 15, 16, 17 B. 1, 2, 3, 4, 5, 6

C. 11, 14, 13, 15, 17, 18 D. 13, 12, 16, 17, 18, 20

22. Which matchstick should be removed to make the equation correct?

P Q R

A. Q B. either P or Q

C. either P or R D. none of the above

23. Fill in the missing numbers.

20

4

25

5

35

5

42

7

18

6

21

3

?

7

?

9

A. 63, 72 B. 56, 63 C. 63, 90 D. 72, 90

24. Three statements are given below. Rishi is older than Sidhi. Rahul is older than Rishi. Sidhi is older than Rahul. Ifthefirsttwostatementsarecorrect,thethirdstatementwillbe

______.

A. correct B. incorrect C. not certain D. none of the above

11

25. Fill in the values of P and Q.

20

33

12

5 7 1 4

5

Q

P

A. 8, 13 B. 9, 14 C. 7, 12 D. 1, 9

Activity

Using digits 7, 9, 0, 4 and 1 only once, answer the following questions:

26.The smallest five-digit number we canmake using the given digits is_________.

A. 14,097 B. 10,497 C. 10,479 D. 40,179

27.Thelargestfive-digitnumberwecanmakeusingthedigitsis_________.

A. 97,041 B. 97,401 C. 97,410 D. 79,410

28.Thesmallstfive-digitnumberhaving0atitsonesplaceis_________.

A. 14,790 B. 14,970 C. 17,940 D. 19,740

9.

25.

13.

Use HB pencil to darken the correct circle.

A

A

B

B

C

C

D

D

A B C D

5.

21.

6.

22.

7.

23.

8.

24.

A

A

B

B

C

C

D

D

B

B

C

C

D

D

B

B

C

C

D

D

B

B

C

C

D

D

1.

17.

2.

18.

3.

19.

4.

20.

A

A

B

B

C

C

D

D

B

B

C

C

D

D

B

B

C

C

D

D

B

B

C

C

D

D

10. 11. 12. B C D B C D B C D

26. 27. 28. B C D B C D B C D

14. 15. 16. B C D B C D B C D

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

12

Addition and Subtraction2Logical and Analytical Reasoning

1. If O + O + O + O + O = 105 and 140 – = 69 + O, what is the value

of ?

A. 21 B. 50 C. 35 D. 11

2. Addfivetoanumberfromtheleft.Theanswerissameasthe_______number from the right. Which number is it?

0 2 11 10 15 16 18 A.first B. second C.third D. fourth

3. Which number replaces the question mark?

4 6 3

2 7 ?

3 5 4 3 9 4 A. 8 B. 7 C. 11 D. 16

4. What rule is used for the In–Out method here?

In Out

23 11

36 24

49 37

A. Double the numbers of In column.

B. Add 10 to the numbers of In column.

C. Add 12 to the numbers of In column.

D. Subtract 12 from the numbers of In column.

13

5. Solve:

If ** stands for 6;

stands for 14;

stands for 16 and

OO stands for 100, then what is

OOOO + + + **?

A. 2026 B. 3025 C. 332 D. 326

6. Look at the pattern 2, 5, 8, 11, 14, 17. Which of the following series uses this same pattern?

A. 3, 6, 8, 10, 12 B. 7, 10, 13, 16, 19

C. 11, 13, 15, 17, 19 D. 3, 4, 5, 6, 7, 8

7. The sum of two numbers is 2560. Twice the smaller number is 1200.What is the bigger number?

A. 600 B. 2400 C. 1960 D. 3160

8.

If this pattern continues, what will the number of boxes be in the seventh figure?

A. 12 B. 14 C. 16 D. 20

14

Mathematical Reasoning

9. If 5 x 0 = And – = 9580

Then, what is + = ?

A. 8500 B. 9580 C. 8170 D. 8180

10. Which of the following is correct?

A. 600 + 32 = 603 + 2 B. 600 + 32 = 602 + 30

C. 600 + 32 = 610 + 2 D. 600 + 32 = 60 + 32

11. Pooja added four thousand four hundred twenty and nine thousand three hundred two. What number will she get?

A. 13,722 B. 12,345 C. 14,740 D. 12,670

12. Find X, Y and Z respectively.

7 X 3 2

+ 9 7 8 Y

Z 7 7 1 4

A. 2, 9, 1 B. 1, 2, 9 C. 1, 6, 5 D. 9, 2, 1

13. Which two signs should be placed in the blank spaces to make the statement correct?

(3269 o 1232) = (5000 o 499)

A. +, – B. –, + C. Î, + D. ÷, +

14. Arrange the amounts in ascending order.

A. 10 lakh B. 1 crore

C. 10 hundred D. 10 thousand

A. A, B, C, D B. B, C, D, A C. D, C, A, B D. C, D, A, B

Maths Olympiad - 4

Publisher : BPI India ISBN : 9789386741257 Author : BPI

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