Class 5 Imo 5 Years E Book L2 2017 1i4i5h

Level 2

SOLVED PAPERS

5 Years (2012-2014, 2016-2017)

5

INSTANT

Copyright © 2017 Science Olympiad Foundation. Printed with the permission of Science Olympiad Foundation. No part

of this publication may be reproduced, transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright holder. Ownership of an ebook does not give the possessor the ebook copyright. All disputes subject to Delhi jurisdiction only.

Disclaimer : The information provided in this book is to give you the path to success but it does not guarantee 100% success as the strategy is completely dependent on its execution and, it is based on previous years' papers of IMO exam.

Published by : MTG Learning Media (P) Ltd. Corporate Office : Plot 99, 2nd Floor, Sector 44 Institutional Area, Gurgaon, Haryana-122003. Phone : 0124 - 6601200 Web: mtg.in Email: [email protected] Regd. Office : 406, Taj Apt., Ring Road, Near Safdarjung Hospital, New Delhi-110029

Visit

www.mtg.in for buying books online.

Do you want yourself to be updated about

Subscribe to our

You Tube Channel

https://www.facebook.com/pcmbtoday

https://www.youtube.com/MTG BOOKS

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 1

International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

Environmental Studies

Learning Grammar

Treasure

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 2

International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

Environmental Studies

Learning Grammar

Treasure

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 3

International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

Maths Practice-cumWorkbook

International English Olympiad

Science Practice-cumWorkbook

International General Knowledge Olympiad

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

Environmental Studies

Learning Grammar

Treasure

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 4

International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

Maths Practice-cumWorkbook

International English Olympiad

Science Practice-cumWorkbook

International General Knowledge Olympiad

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

Environmental Studies

Learning Grammar

Treasure

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 5

International Mathematics Olympiad

Reasoning

Learning Science

Anubhuti

National Science Olympiad

National Cyber Olympiad

Maths Practice-cumWorkbook

International English Olympiad

Science Practice-cumWorkbook

International General Knowledge Olympiad

Learning Computers

Learning English

Learning Mathematics

Learning & Knowing

Environmental Studies

Learning Grammar

Treasure

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 6

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Learning Computers

Learning Mathematics

Learning & Knowing

Anubhuti

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 7

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Math IQ Challenge

Science IQ Challenge

Learning Computers

Learning Mathematics

Master Mental Ability in 30 Days

Learning & Knowing

Anubhuti

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 8

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Maths Practice-cumWorkbook

Science Practice-cumWorkbook

Math IQ Challenge

Science IQ Challenge

Learning Computers

Learning Mathematics

Master Mental Ability in 30 Days

Learning & Knowing

Anubhuti

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 9

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Math IQ Challenge

Science IQ Challenge

Master Mental Ability in 30 Days

Psychology of Success

MAT for NTSE

NTSE Explorer

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 10

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

International English Olympiad

International General Knowledge Olympiad

Reasoning

Math IQ Challenge

Science IQ Challenge

Master Mental Ability in 30 Days

Psychology of Success

MAT for NTSE

NTSE Explorer

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 11

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

Math IQ Challenge

Science IQ Challenge

Master Mental Ability in 30 Days

Psychology of Success

NEET Success Blueprint

MTG WORKBOOKS / OLYMPIAD BOOKS Check complete details on www.mtg.in

CLASS 12

International Mathematics Olympiad

National Science Olympiad

National Cyber Olympiad

Math IQ Challenge

Science IQ Challenge

Master Mental Ability in 30 Days

Psychology of Success

NEET Success Blueprint

Error-free

Easy Language

Authentic Solutions

Fully Solved by Expe rts

For Classes 6, 7, 8, 9, 10, 11 & 12 Class 6

11

Class

12

Class 8

Class

Class 7

Class 9

Class 10

JEE (Main & Advanced) | NEET | BOARDS | OLYMPIAD | NTSE

FOUNDATION COURSE For Classes 6, 7, 8, 9 & 10

Class 6

Class 7

Class 8

Class 9

Class 10

IMPORTANT INSTRUCTIONS Exam Date : 11th February 2018. Center of exam : As assigned by SOF on your it card. Kindly coordinate with your school coordinator for exact information about exam. Write to [email protected] for any enquiry. Mode of exam : IEO/NSO/IMO level 2 for academic year 2017-18 will be a paper-pen objective test. Pattern of the exams : INTERNATIONAL ENGLISH OLYMPIAD Class 3 to 4

5 to 12

Section

No. of Questions Marks per Question

Word and Structure Knowledge, Reading Achievers Section Grand Total Word and Structure Knowledge, Reading Achievers Section Grand Total

Total Marks

30

1

30

5 35

2

10 40

45

1

45

5 50

3

15 60

NATIONAL SCIENCE OLYMPIAD Class 3 to 4

5 to 10

11 and 12

Section

No. of Questions Marks per Question

Science Achievers Section Grand Total Science Achievers Section Grand Total Physics & Chemistry Achievers Section Mathematics/Biology Grand Total

30 5 35 45 5 50 25 5 20 50

1 2 1 3 1 3 1

Total Marks 30 10 40 45 15 60 25 15 20 60

INTERNATIONAL MATHEMATICS OLYMPIAD Class 3 to 4

5 to 12

Section Mathematics Achievers Section Grand Total Mathematics Achievers Section Grand Total

No. of Questions Marks per Question 30 5 35 45 5 50

1 2 1 3

Total Marks 30 10 40 45 15 60

CLASS 5

Contents ÂÂ 5th IMO - Level-2 (2012)

ÂÂ 6th IMO - Level-2 (2013)

ÂÂ 7th IMO - Level-2 (2014)

ÂÂ 8th IMO-Level 2 was an online exam. (2015)

ÂÂ 9th IMO - Level-2 (2016)

ÂÂ 10th IMO - Level-2 (2017)

5th

LEVEL - 2 Year 2011-12

2

| 5th IMO | Level-II | Class 5

Section I : Logical Reasoning 1. Find the missing value.

(A) 1121



(B) 1049



(C) 1583



(D) 2331

2. Sara is facing west. If she makes a 135° turn in the anticlockwise direction, which

direction will she be facing? (A) North-east (B) North-west

(C) South-east

(D) South-west

3. The diagram shows a symmetrical figure that has part of it cut away. PQ is a line of symmetry. Which one of the following is the part that is cut away?

(A)

(B)



(C)



(D)







4. Choose one word from the options which can be formed from the letters of the given word using each letter only once.

'SIGNIFICANT' (B) SIGNIFY (C) STINGY

(A) SCANT

(D) START

5. If in a certain code 793041 is written as MARTIN and 8265 as POSE, then how will

80451 be coded in the same code? (A) PTIEM (B) PTIEN

(C) PTIER

(D) PTIES

6. Choose the figure from the options which is same as figure (X).

(A)

(B)



(C)



(D)





7. Choose the correct mirror-image of the given word, if the mirror is placed



(A) SAMXE

(B) SMAXE

EXAMS (C) SMAX E

vertically.

(D) SMAXE

3

5th IMO | Level-II | Class 5 |

8. Some letters are given which are numbered 1, 2, 3, 4 and 5. Find that combination of numbers so that letters arranged accordingly form a meaningful word. E L P T A

(A) 5, 2, 3, 4, 1

1 2 3 4 5 (B) 5, 2, 3, 1, 4 (C) 3, 1, 4, 5, 2

(D) 5, 4, 1, 2, 3

9. Find a figure from the options which completes the Fig. (X).

(A)





(B)



(C)









(D)

10. Standing on a platform, Amit told Sonia that Delhi was more than 10 km but less than 15 km from there. Sonia knew that it was more than 12 km but less than 14 km. If both of them were correct, which of the following could be the distance

of Delhi from there? (A) 11 km (B) 12 km

(C) 13 km

(D) 15 km

11. In the following series one term is wrong. Find the wrong term. 2, 18, 4, 20, 8, 22, 16, 25, 32, 26

(A) 18

(B) 16

(C) 25

(D) 32

12. How many unit cubes are there in the given figure?

(A) 38



(B) 48



(C) 51



(D) 46

13. The given question consists of figures (i), (ii), (iii) and (iv). There is a definite relationship between figures (i) and (ii). Establish a similar relationship between figures (iii) and (iv) by selecting a suitable figure from the options that would replace (?) in figure (iv).

(A)

(B)



(C)



(D)





4

| 5th IMO | Level-II | Class 5

14.



(A) 4766

(B) 3666

(C) 5666

(D) 7566

15. Choose the figure which is different from the rest.

(A)

(B)





(C)



16. Which one of the following does not belong to the set :



(A)

13 26

(B)

42 86

(C)

62 124

(D)

3 5 9 , , ? 6 10 18 (D)

19 38

17. What is the value of 120 – 20 ÷ 5 – 2 × 10 + 4?

(A) 4

(B) 100

(C) 184

(D) 1144

18. What is the maximum number of 3-digit numbers that can be formed using the digits 3, 5 and 7 only once?

(A) 1

(B) 2

19. How many fifths are there in 6

(A) 31

(C) 3

(D) 6

(C) 13

(D) 3

3 ? 15

(B) 9

20. Study the four numbers in the given set. Using them find the values of P, Q and R respectively. P_ + __ Q_ × __ R_ = 197 , __

(A) (19, 9, 21)

(B) (8, 21, 9)

(C) (19, 8, 9)

(D) (19, 8, 21)

Section II : mathematical Reasoning , find the value of

21. .

(A) 7

(B) 14

(C) 35

(D) 49

5

5th IMO | Level-II | Class 5 |

22. The given figure shows two identical rectangles, each



measuring 8 cm by 4 cm, overlapping one another. 1 The shaded area is the area of each rectangle. 4 Find the area of the unshaded part of the figure.



(A) 24 cm2

(B) 48 cm2

(C) 56 cm2

(D) 64 cm2

23. How many more triangles must be shaded so that

half of the given figure is shaded? (A) 3 (B) 4 (C) 5 (D) 6

24. What is two hundred four thousand, four hundred and forty one in numerals ? (A) 24441 (B) 24401 (C) 204441 (D) 240441 25. How many right angles does the second hand of a clock travel through from

6:15 p.m. to 6:18 p.m. ? (A) 4 (B) 8

(C) 12

(D) 16

26. The diagram shows a simplified model of a trolley that is used in supermarkets. How many vertical lines would there be in five such trolleys ?

(A) 70



(B) 16



(C) 14



(D) 80

27. Rectangles A, B and C are identical. Find the perimeter of the figure.

(A) 36 cm

(B) 45 cm



(C) 54 cm

(D) 63 cm

28. Each of the letters A and B given below represents a specific digit.



Which one of the following digits does A represent? (A) 1 (B) 2 (C) 3

(D) 0

| 5th IMO | Level-II | Class 5

6

29. Subtract 29823 from the sum of 10832, 6874 and 13928. The answer is _____. (A) 1811 (B) 10118 (C) 31634 (D) 161457 Direction (Q.No. 30-32) : The graph given below shows how Akshat spends his salary each month. Study the graph and answer the following questions.

30. The amount spent on transport is _________ times the amount spent on

clothing. (A) 4

(B) 3

(C) 5

(D) 6

31. Express the amount of savings as a fraction of the amount spent on food. (A) 4/5 (B) 5/8 (C) 7/8 (D) 3/8 32. What is Akshat's monthly salary? (A) ` 1250 (B) ` 1200

(C) ` 1300

(D) ` 1000

(C) 5

(D) 7

33. What is the missing number in the box?

(A) 6

(B) 4

34. Subtracting ten thousands from one million will given ____. (A) 90000 (B) 990000 (C) 99000

(D) 9990000

35. The sum of two numbers is 6470. The larger number is 580 more than the smaller

number. What is the larger number? (A) 3525 (B) 2945

(C) 5890

(D) 7050

36. How many angles inside the figure given below are greater than 2 right angles?

(A) 1



(B) 2



(C) 3



(D) 4

37. All factors of a given number are listed below. What are the missing factors that shall go in the blanks?

(A) 3 and 54

1, __ ?_, 5, 9, 15, __ ?_ (B) 2 and 30 (C) 3 and 60

(D) 3 and 45

7

5th IMO | Level-II | Class 5 |

38. Look at the following shapes. How many shapes have both parallel and perpendicular lines?



(A) 1

(B) 4

(C) 3

(D) 2

39. What is the difference between the two values of the digit 3 in 13639? (A) 2970 (B) 20970 (C) 1970 (D) 2700 40. What is the remainder when 6999125 is divided by 700 ? (A) 695 (B) 415 (C) 42

(D) 525

Section III : Everyday mathematics 41. Areefa left for school at 06:25. She returned home 8 hrs 15 mins later. At what

time did she reach home? (A) 02:25 (B) 02:40

(C) 14:40

42. Rani bought some sugar. She used

did she buy? (A) 1500 g

(B) 1000 g

(D) 14:45

3 of it and had 625 g left. How much sugar 8 (C) 750 g

(D) 900 g

43. Himanshu's heart beats 170 times in 2 minutes. How many times does his heart

beat in 1 hour 20 minutes? (A) 6800 (B) 13600

(C) 3400

(D) 5400

2 times as long as the blue part. 5 Find the length of the blue part, if the length of the pole is 5.52 m . (A) 2.4 m (B) 3.3 m (C) 2.3 m (D) 1.3 m

44. A pole is painted blue and red. The red part is 1

45. The breadth of a rectangle is

the rectangle. (A) 3528 cm2

3 its length. If the length is 84 cm, find the area of 4

(B) 3852 cm2

(C) 5292 cm2

(D) 5922 cm2

46. Four boys ran as far as 6 girls. If they ran 15.6 km altogether, what distance did

each boy run? (A) 1.30 km

(B) 1.95 km

(C) 1.56 km

(D) 2.60 km

47. It takes John 6 seconds to cut a strip of paper into 2 equal pieces as shown below. How long would it take him to cut similar strips of paper into 10 pieces?



(A) 48 seconds

(B) 54 seconds

(C) 60 seconds

(D) 30 seconds

| 5th IMO | Level-II | Class 5

8

Direction (Q. No. 48-49) : The given table shows the amount of money earned by four stalls at a food court on two different days. Use the information given to answer the following questions. Stall P Q R S

Saturday ` 278 ` 123 ` 196 ` 486

Sunday ` 352 ` 732 ` 245 ` 510

48. What is the total earnings of stall R on both days? (A) ` 441 (B) ` 583 (C) ` 630

(D) ` 996

49. How much more did stall S earn as compared to stall P over the two days? (A) ` 366 (B) ` 413 (C) ` 555 (D) ` 636 50. A bus took 11 minutes 16 seconds to travel from bus stop A to bus stop B. It took 4 minutes 43 seconds longer to travel from bus stop B to bus stop C. How

long did the bus take to travel from bus stop B to bus stop C? (A) 393 seconds (B) 916 seconds (C) 943 seconds (D) 959 seconds SPACE FOR ROUGH WORK

6th

LEVEL - 2 Year 2012-13

2

| 6th IMO | Level-II | Class 5

Section-I : Logical Reasoning 1. In which of the following options the given shape (X) is hidden?



(A)

(B)

2.

Which of the following shapes has been rotated by 1/2 a turn?



(A)

3.

Which of the following is the top view of the given figure (X)?



(A)

4.

Which of the following options completes the series given in Problem Figures ?





(B)



(C)





(B)



(C)





(C)

(D)

(D)



(D)



(A)

5.

Which of the following options is the most similar to the figures given below?



(A)







(B)

(B)







(C)

(C)







(D)

(D)

6. Choose the missing from the given options.

(A) H, G

Z, Y, X, U, T, S, P, O, N, K, ?, ? (B) P, G (C) I, H

(D) J, I

3 7.

6th IMO | Level-II | Class 5 |

Figures (i) and (ii) follow a certain relationship. There is a same relationship between figures (iii) and (iv). Select a figure from the options that would replace the question mark in figure (iv).



(A)

8.

Which of the following options will complete the series given in Problem Figures?



(A)

9.

Which of the following options will complete the given figure matrix?



(A)

(B)









(B)

(B)



(C)





(C)

(C)



(D)









(D)

(D)



10. In a certain code, 'DEAF' is written as '3587' and 'FILE' is written as '7465'. How is 'IDEAL' written in that code?

(A) 43568

(B) 43586

(C) 63548

(D) 48536

11. Pointing towards a person, a man said to a woman, "His mother is the only daughter of your father." How is the woman related to that person?

(A) Daughter

(B) Sister

(C) Mother

(D) Wife

12. W h i c h o f t h e f o l l o w i n g Ve n n d i a g r a m s c o r r e c t l y d e p i c t s t h e r e l a t i o n s h i p b e t w e e n Kerala, Bihar, India?

(A)



(B)



(C)



(D)

13. If the words in the sentence, "she showed several sample snaps" are rearranged in the alphabetical order, which will be the middle word?

(A) snaps

(B) sample

(C) several

(D) she

4

| 6th IMO | Level-II | Class 5 14. Find the missing character.



(A) 27

15.

What is the minimum number of straight lines required to make the given figure? (A) 12 (B) 10 (C) 14 (D) 18

(B) 35

(C) 54

(D) 64

16. Choose the correct mirror-image of the Fig.(X) from amongst the given options if the mirror is placed vertically right.



(A)



(B)

(C)





(D)

17. Which word among the following options cannot be formed using the letters of the given word?

(A) SUCTION

(B) COINS

construction (C) CAUTION

(D) NOTION

18. I am facing south. I turn right and walk 20 m. Then I turn right again and walk 10 m. Then I turn left and walk 10 m and then turning right walk 20 m. Then I turn right again and walk 60 m. In which direction am I from the starting point?

(A) South-West

(B) North-West

(C) South-East

(D) North-East

19. Which of the following options gives the correct order of the letters as indicated by the numbers to form a meaningful word? K a t C E L 1 2 3 4 5 6

(A) 1, 2, 4, 5, 6, 3

(B) 3, 2, 4, 1, 6, 5

(C) 4, 2, 3, 1, 5, 6

(D) 6, 5, 3, 2, 4, 1

20. Some symbols are represented by letters shown below : +

–

×

÷

B

G

E

C

Then 18 C 3 B 8 G 4 E 2 = (A) 8 (B) 4

(C) 6

(D) 0

Section-II : Mathematical reasoning 21. How many shapes must be shaded so that



(A) 10

(B) 15

2 of the figure is unshaded? 5

(C) 25

(D) 30

5

6th IMO | Level-II | Class 5 |

22. A bird park purchased 50 parrots in July. The line graph shows the number of parrots survived at the end of each month. How many parrots died by the end of October?



(A) 20

(B) 25

(C) 30

(D) 35

23. The table below shows the price of each sack of rice in 4 different supermarkets. Which supermarket offers the lowest price for per kg? Supermarket Supermarket Supermarket Supermarket Weight of 1 sack of rice Price

(A) Supermarket P

P

Q

R

S

5 kg

10 kg

10 kg

5 kg

` 12.50

` 35

` 32

` 16

(B) Supermarket Q

(C) Supermarket R

(D) Supermarket S

24. Three times of a number is 144. What is 6 less than twice of the number? (A) 42 (B) 48 (C) 69 (D) 90 25.

Which of the following has the smallest area? (A) A square with one of the sides 6 cm. (B) A rectangle of length 9 cm and breadth 5 cm. (C) A square with a perimeter of 28 cm. (D) A rectangle with a perimeter of 28 cm and length 8 cm.

26. What is the value of the decimal in the box?



(A) 6.48

(B) 6.478

(C) 6.486

(D) 6.483

27. How many lines of symmetry does the figure have?

(A) 1



(B) 2



(C) 3



(D) 4

28.

What is the sum of P, Q and R in the box? (A) 15 (B) 16 (C) 17 (D) 18

29. What is the remainder when 69814 is divided by 8? (A) 0 (B) 2 (C) 4

(D) 6

6

| 6th IMO | Level-II | Class 5

30. A kindergarten teacher gave 114 sweets to children in the kindergarten. Each 4-year old child received 2 sweets and each 5-year old child received 3 sweets. The 5-year old children received

6 more sweets than the 4-year old children. Find the total number of children in the kindergarten. (A) 27 (B) 45 (C) 47 (D) 55

31. The graph below shows the number of marks scored by 4 pupils in a class quiz. Study the graph carefully and answer the question that follows.



For every question answered correctly, 4 marks was awarded (There is no negative marking). How



many more questions were answered correctly by Harsh than Mohit. (A) 12 (B) 16 (C) 13

32. If

+

(A) 1

+

+

+

= 108 and

+

(B) 2

+

= 64 then

(D) 4 –

(C) 22

= ? (D) 43

33. The table below shows the prices of different types of tickets for a car ride. Price of ticket Children (below 5 years old)

` 4

Children (between 6 to 12 years old) Adults

` 6 ` 10

Senior citizens (above 55 years old)

` 8



Mrs. Kapoor took her parents, aged 60 and 62 years old, and her three children aged 6, 8 and



13 years old for a car ride. How much must she pay altogether? (A) ` 38 (B) ` 48 (C) ` 58

(D) ` 35

34. The sum of the first two common multiples of 9 and 12 is _____. (A) 21 (B) 36 (C) 63

(D) 108

35. What is the value of 5000000 + 500000 + 5000 + 50? (A) 5505005 (B) 5505500 (C) 5505050

(D) 5055050

36. Which of the following is an improper fraction?

(A)

2 5

(B)

1 4

(C)

19 8

37. Which two numbers give the product of 112710? (A) 1430 and 78 (B) 1435 and 78 (C) 1440 and 78

50 (D) 100

(D) 1445 and 78

38. On a particular day, a shop had 985 customers. 2/5 of them were children, 80 were senior citizens

and the rest were youngsters. How many of them were youngsters? (A) 495 (B) 511 (C) 562

(D) 420

7

6th IMO | Level-II | Class 5 |

39. What is the weight of a ball?



(A) 2.7 kg

(B) 2.4 kg

(C) 4.2 kg

(D) 7.2 kg

40. As shown in the given figure, two small identical rectangles have been cut from a piece of rectangular paper. What is

the (A) (B) (C) (D)

area of the shaded part? 112 cm2 122 cm2 132 cm2 100 cm2

Section-III : Everyday Mathematics 41. Gopal has a rope 2 m long. He cut 1 m from it and the rest of it equally into 4 pieces. What is 2 the length of each of the four pieces?

(A)

1 m 4

(B)

1 m 2

(C)

3 m 8

1 (D) 1 m 2

3 as many men as women at a seminar. There were 48 fewer men than women. What 5 was the total number of men and women at the seminar? (A) 120 (B) 128 (C) 192 (D) 240

42. There were

43. 22 children were at a birthday party. Each girl drank 2 glasses of fruit punch and each boy drank 3 glasses of fruit punch. If the boys drank 31 more glasses of fruit punch, how many girls attended

the party? (A) 7

(B) 8

(C) 16

(D) 15

44. A carpenter took 3 minutes to saw a wooden plank into 4 pieces. How long will he take to saw it into 15 pieces?

(A) 15 minutes

(B) 14 minutes

(C) 20 minutes

(D) 25 minutes

45. Rohan took 5h 20 min to fix a model plane. Kartik took half the time to fix the same plane. At what time would Kartik have finished fixing the plane if he started at 11 : 45? 46.

(A) 13 : 45

(B) 14 : 25

(C) 14 : 35

(D) 15 : 15

4 of the children in the hall are girls and the rest are boys. If there are 12 more girls than boys, 7 how many children are there in the hall? (A) 5000

(B) 6500

(C) 77

(D) 84

47. In a plantation, there were 876297 rubber trees. A fire destroyed 5679 trees. After the fire, 8972 new trees were planted. How many trees were not destroyed by the fire?

(A) 867810

(B) 681972

(C) 870618

(D) 739817

| 6th IMO | Level-II | Class 5

8

48. A combination lock requires 3 numbers to unlock. The second number is

3 of the first number. 5

3 of the second number. The difference between the first number and the 4 third number is 33. What is the second number ? (A) 60 (B) 36 (C) 27 (D) 14 The third number is



49. Neha had 2 saving s. She had ` 405.50 more in P than in Q. After she transferred ` 48.40 from P to Q, the amount of money she had in P was

4 times the amount in Q. How much did she have in P at first? (A) ` 460 (B) 54.60 (C) ` 260.50 (D) ` 351.00

50. Garima and her sister had 213 beads at first. After Garima bought another 66 beads, Garima had

twice as many beads as her sister. How many beads did Garima have at first? (A) 13 (B) 27 (C) 935 (D) 120 SPACE FOR ROUGH WORK

7th

LEVEL - 2 Year 2013-14

7th IMO | Class-5 | Level 2

2

logical reasoning 1.

Find the number of cubes in the given solid figure.



A. B. C. D.

2.

In a certain code, ZKKOV is coded as APPLE. Which of the following is coded as POEAR?



A. B. C. D.

3.

Some letters are given which are numbered 1, 2, 3, 4, 5, 6 and 7. Find that combination of numbers so that letters arranged accordingly form a meaningful word.

21 23 24 22



A. B. C. D.

6.

Find the missing figure from the options which will continue the series established by the problem figures. Problem Figure

KLHVZ KLZVH KLVZH KLVZI



E I C C N S E



1 2 3 4 5 6 7



A. B. C. D.

4.

Find the figure from the options which completes the Fig. (X).

7.

2,1, 5, 3, 4, 6, 7 6, 4, 2, 1, 5, 3, 7 3, 4, 5, 2, 1, 6, 7 1, 6, 2, 4, 5, 3, 7





5.

A.

C.

Stadium Shopping centre Library Clinic









A.





C.



B. D.



Find a figure from the options in which Fig. (X) is embedded as one of its part.

A.

B.







C.



8.

Select the correct mirror image of figure (X).

D.



B.



D.



Manha is facing the playground now after making a 3/4 turn in a clockwise direction. She was facing _______ before.



A.

B.







C.



9.

Which number will replace the question mark?

D.



3

7th IMO | Class-5 | Level 2



A. B. C. D.

98 105 110 125

15. Which of the following completes the first pair in the same way as the second pair?

10. Saurabh re that his sister's birthday was before 11th but after 8th December, while his brother re that their sister's birthday was after 9th but before 15th December. On what date does their sister's birthday fall?

A. B. C. D.

8th December 10th December 9th December 11th December



11. If the pattern continues, what letter will be at the 99th position?



A. B. C. D.

Z Y X Can't be determined

A. B. C. D.

22 23 25 None of these

Problem Set



A.





C.





C.



B. D.



A. B. C. D.

Father Brother Cousin Can't be determined 0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ?



A. B. C. D.

28 30 32 35

18. Which of the following diagrams indicates the best relation between Triangle, Square and Rectangle? A.





C.



B. D.





B.

19. Find one word which can be made from the letters of the given word.

D.



GERMINATION

14. Which of the following letter is fifteenth to the right of the sixth letter from the left end of the given arrangement?





17. What comes next in the given number series ?

13. The following question consists of a Problem Set. Select a figure from the options which will continue the series established by the Problem Set.



A.

16. Pointing to a photograph, Rahul said, "She is the daughter of my grandfather's only son". How is Rahul related to the girl in the photograph?

12. Count the number of triangles in the given figure.



A. B. C. D.

GERMAN NOTION NOTATION SMART

D U B CAB E D CAB U D C BAE D B CA D E BAU C DAE B

20. If '–' means 'added to', '×' means 'subtracted from', '÷' means 'multiplied by', and '+' means 'divided by'; then 20 × 12 + 4 – 16 ÷ 5 = ?

A. B. C. D.



D B E A

A. B. C. D.

17 97 80 63

7th IMO | Class-5 | Level 2

4

Mathematical reasoning 21. MMMMDCCI + MMMMDCCCI = _______.

A. B. C. D.

9052 8502 9502 7052



22. The value of 64.1 × 100 + 4.5 × 70 =

A. B. C. D.

26. What should be the number in the empty box ?

5725 7625 6752 6725



A. B. C. D.

÷ 24 ÷ 69 ÷ 32 × 13

27. Find the unshaded area.

23. Which figure has greatest unshaded fraction?



A. B. C. D.



Figure I Figure II Both are equal Can't be determined

4 and 3 is subtracted from a 7 5 number, it gives 21 . Find the number. 14 12 A. 13 16

24. If the product of 2



B.

8



C.

11

D.

29



1 14

Local mail Foreign mail

Postage Rates First 50 g Every additional 30 g or part thereof 40 paise ` 1.50 ` 1.90

60 paise

How much postage is needed to send a local mail of mass 1460 g? A. B. C. D.

` ` ` `

DIRECTION (28-29) : The given line graph shows the number of sofa sets sold in a furniture shop from January to June. Study it carefully and answer the given questions.

10 14

25. The given table shows the postage rates at a post office. Study carefully and answer the following question.



189 cm2 185 cm2 198 cm2 115 cm2

9 14





A. B. C D.

15.90 19.00 16.90 20.30

28. What was the decrease in the number of sofa sets sold from April to May?

A. B. C. D.

6 5 3 10

29. If each sofa set was sold at ` 32,000, how much money was collected from the sale of the sofa sets from January to March?

A.

` 1042000



B.

` 4012000



C.

` 102400



D.

` 1024000

5

7th IMO | Class-5 | Level 2

30. The given table shows the time taken by five children to complete a science quiz. Which child had the fourth fastest time? Name

Time taken 2440 secs 125 mins 40 secs 123 mins 24 secs 24 mins 25 secs 24 mins 20 secs

Mahek Binny Kirti Aakash Aman

A. C.

Kirti Aman

B. D.

Mahek Aakash

31. The given figure is made up of three identical squares of sides 8 cm each and CD = DE = EF = GH = HI = IJ. Find the perimeter and area of the figure.

32. In 189485, the value of 8 in the ten thousand's place is _______times the value of 8 in the ten's place.

A. B. C. D.

10 100 1000 10000

33. What is 1 less than 1 of a million?

A. B. C. D.

4

249999 500001 500000 499991

34. Find the missing number in the box. 552847 = 500000 +

A. B. C. D.

+ 25000 + 40 + 7

2780 27800 278000 2780000

35. What is the value of 188888 – 88888 × 10 + 4000000 ÷ 2?

A. B. C. D.

83 86 80 86

cm, cm, cm, cm,



200 cm2 64 cm2 192 cm2 182 cm2

A. B. C. D.

2500000 2050000 1300008 1300080

everyday Mathematics 36. Nitin set off from Town A. After 2 hours 20 minutes later, he stopped at Town B for lunch. He then took another 2 hours 5 minutes to reach Town C. How long was his lunch break? (Give your answer in hours and minutes)

38. Garima paid a down payment of ` 220000 for a car. She then paid a monthly installment of ` 9800.50 for 72 months. Find the total amount paid for the car.

A. B. C. D.

` ` ` `

5,90,586 5,90,596 8,90,586 9,25,636

39. A box containing 18 jars of orange juice weighs 17 kg 500 g. If the empty box weighs 1 kg 300 g, what is the weight of 5 jars of orange juice?

A. B. C. D.

1 2 1 1



hr hrs 25 mins hr 25 mins hr 35 mins

A. B. C. D.

4 3 3 4

kg kg kg kg

250 500 250 500

g g g g

3 37. Tanu has 196 beads. Shalini has 1 times as many beads 4 as Tanu. How many beads do they have altogether?

40. Mohit spent 2 of his money on a watch and ` 200 9 1 of his money left, on a tennis racket. If he had 2 how much did watch cost?





A. C.

343 339

B. D.

439 539

A. C.

` 360 ` 320

B. D.

` 720 ` 160

7th IMO | Class-5 | Level 2

6

41. A study is 6 m wide by 11 m long. Mrs. Sharma wants to partition an area that measures 2 m wide by 5 m long for bookshelves. Find the remaining area of the study.

A. B. C. D.

58 60 56 50

m2 m2 m2 m2

42. Latika bought 9 litres of apple juice. She poured the apple juice equally into 6 containers. There was 0.18 litre of juice left. What was the volume of juice in each container?

A. B. C. D.

1.48 1.47 1.45 1.37

L L L L



A. B. C. D.

24 32 14 34

months months months months

44. 4838 people took part in a marathon. 425 people gave up after the first hour. One third of the remaining people gave up after the second hour. The rest completed the marathon. How many people completed the marathon?

A. B. C. D.

2945 2942 2940 2948

45. 3 shirts and 7 pairs of pants have a total of 55 buttons. Each pair of pants has 5 fewer buttons than each shirt. How many buttons are there on each shirt?

43. If Jatin is able to save ` 6500 in a month, how many months will he take to save ` 91,000?



A. C.

4 25

B. D.

9 30

ACHIEVERS SECTION 46. Find the difference between area of the shaded part and unshaded part of the figure.



A. B. C. D.

(i) (i) (i) (i)

-

P, (ii) - R, (iii) - Q, (iv) - S S, (ii) - R, (iii) - P, (iv) - Q S, (ii) - P, (iii) - R, (iv) - Q Q, (ii) - S, (iii) - P, (iv) - R

48. Which of the following figures has the smallest unshaded area? A.

A. B. C. D.

32 36 38 24



cm2 cm2 cm2 cm2



B.

47. Match the columns: Column-I 8 108 345 + + 10 100 1000

Column-II

(i)

14 +

(ii)

24 thousandths less than 18.7 is ____ more 18.

(Q) 189.1

(iii) Sum of 15.001, 8.015, 4.2, 0.06

(R) 0.676

(iv) Subtract 2885.3 from product of 341.6 and 9

(S)

(P)





27.276 C.

16.225



D.





7

7th IMO | Class-5 | Level 2

49. Find P + Q × R – S.

50. One third of the of a bton club are girls. Which of the following bar graphs is the correct representation of the of the club? A.



A. B. C. D.

25 26 27 28

B.



C.



SPACE FOR ROUGH WORK

D.





9th

LEVEL - 2 Year 2015-16

MATHEMATICS 1.

MMDCCI + DCCCI = _______.



A. B. C. D.

2.

In 449485, the sum of place values of 4’s is _______ more than place value of 8 at the tens place.



A. B. C. D.

3.

The given graph shows the temperature taken on a certain day.

MCLII MMCII MMMDII MMMMMDII

430240 440320 440230 404230

40

6.

Mr. Gupta has room 12 m wide and 24 m long. He wants to partition an area that measures 5 m wide and 7 m long for study room. Find the remaining area of the room.



A. B. C. D.

7.

Four times of 96 is ______ multiple of 12.



A. B. C. D.

8.

Kartik bought 189 trays of chocolates. Each tray contained 16 chocolates. What is the total number of chocolates he bought?



A. B. C. D.

9.

A rule for a function table is given below.

35

Temperature (°C)

30 25 20 15 10

10 a.m.

11 a.m. 12 noon Time (hours)

1 p.m.

2 p.m.



A. B. C. D.

4.

Which of the following has the greatest value?



A. B. C. D.

5.

What is the value of

2

3634 3160 3024 4312

10 a.m. to 11 a.m. 11 a.m. to 12 noon 12 noon to 1 p.m. 1 p.m. to 2 p.m.

21 hundredths 109 thousandths 25 thousandths 15 hundredths





A.

Input 2 0 4 3

Output 14 10 18 16

B.

Input 2 0 4 3

Output 14 0 4 8

C.

Input 2 0 4 3

Output 14 10 4 6

88888 × 10 – 188888 + 4000000 ÷ 2? A. B. C. D.

12th 24th 32th 28th

Which function table below has only values that follows the above rule?

The increase in temperature is greatest from ________.



m 2 m2 m 2 m2

Multiply the input value by 2 and add that product to 10 to get the output value”.

5 0

258 253 256 250

2699992 2050000 1300008 1300080



| 9th IMO | Class-5 | Level 2



Input 2 0 4 3

D.

Output 6 10 14 16

10. The given line graph shows the number of puppies sold by Varun in the past 4 weeks. 350 300 250 200 150 100 50 0





A.

` 2000



B.

` 7200



C.

` 3000



D.

` 1600

14. Four small identical rectangles have been cut from a piece of rectangular paper as shown in the given figure. What is the area of the shaded part? 18 cm

Number of puppies sold

10 cm

Week 1

Week 2

Week 3

12 cm

Week 4

cm2



A.

112

If the puppies were sold at ` 40 each, what was the total amount of money collected by Varun?



B.

84 cm2

A. B. C. D.



C.

132 cm2



D.

100 cm2

` ` ` `

28000 30000 32000 10000

15. What is the fractional value of P and Q  ? 6.47

11. Find the unshaded area of the given figure.

A. B. C. D.

66 cm2 176 cm2 126 cm2 134 cm2

3 times as many 4 stamps as Garima and Latika has 500 more stamps than Priya. How many stamps they have altogether?

12. Garima has 204 stamps, Priya has 2



A. B. C. D.

1189 1765 1926 1826

1 of his salary on buying a watch and 13. Mohit spent 4 saved ` 1500. How much did he earn in a month? 9th IMO | Class-5 | Level 2 |

P

Q



A.

6496 1000

6482 1000



B.

6494 1000

6478 1000



C.

6496 1000

6486 1000



D.

6483 1000

6483 1000

2 cm 2 cm

6.49

Q

P



6 cm

1 1 1 16. The sum of 1 and 2 is _________ sum of 1 3 6 3 3 and 4 . 4

A.

Greater than



B.

Less than



C.

Equal to



D.

Data Inadequate

17. What is the value of 82.24 – 2.24 × 6 + 3.4 ÷ 5 in fractions?

A.

6948/100



B.

6958/100



C.

9668/1000



D.

6812/1000 3

18. What is the weight of five such watermelons shown in the given figure?



A. B. C. D.

40

6 cm



Presentees

48 32



16 24 28 32

Tuesday Wednesday Thursday

Friday

20. 22 children were at a birthday party. Each girl drank 2 glasses of fruit punch and each boy drank 3 glasses of fruit punch. If the boys drank 31 more glasses of fruit punch than girls, then how many girls attended the party? A. B. C. D.

190 230 140 150

7 8 16 15

21. The given figure is made up of five identical squares and RQ = QU = UV = AS = SB = BT = CD = DE = EF = GH = HI = IJ. Find the perimeter and area of the figure.

8 cm

cm2 cm2 cm2 cm2

23. The given table shows the fare of travelling from two trains P and Q. Study it carefully and answer the following question.

16

A. B. C. D.





A. B. C. D.

Fare (1st km)

Monday

10 cm 4 cm

30

19. The given graph shows the daily number of presentees for five days in class V. What is the difference between the highest number of presentees and the lowest number of presentees in the class?



95 cm, 300 cm2 90 cm, 240 cm2 110 cm, 300 cm2 96 cm, 180 cm2

2 cm

540 kg 240 kg 360 kg 72 kg

0

A. B. C. D.

22. Find the sum of area of the shaded part and area of whole figure.

0 70 kg 10 60 20 50



Every additional (1/2) km or part thereof

Train P

` 7.50

50 paise

Train Q

` 9.90

60 paise

How much total money Mohit has to pay if he travels 2.5 km from Train P and 1.5 km from Train Q?

A. B. C. D.

` ` ` `

19.90 19.00 16.90 19.50

24. The given table shows the time taken by five friends to complete their lunch. Which friend had finished the lunch before Meetu?



A. B. C. D.

Name

Time taken

Meetu

2440 secs

Beena

125 mins 40 secs

Komal

123 mins 24 secs

Ankit

24 mins 25 secs

Aarav

44 mins 20 secs

Aarav Komal Ankit Beena

25. One third of the of a bton club are boys. Which of the following bar graphs is the correct representation of the of the club? 4

| 9th IMO | Class-5 | Level 2



A.

Boys

Girls



B.

C.

Boys

Girls

B. Girls

Boys

Girls

Boys

D.

26. Nisha planned to list all the prime numbers from 60 to 100. Her list is shown below. 61, 67, 71, 73, 79, 83, 97 Her friend noticed that one prime number is missing. Which prime number is missing in Nisha’s list ?

A. B. C. D.

81 87 89 91

Direction (27-28) : Students created a pictograph that shows the number of apples sold in a food store in one week. Answer the questions based on it. Apples sold in a Food Store Red delicious Golden delicious Red rome

C.

D.

None of these

29. Which of the following figures has the greatest shaded fraction?

Figure I



A. B. C. D.

Jonathan = 5 apples

6

Apples sold in a Food Store

Jonathan Red rome Golden delicious Red delicious

7 6 5 4

5

10 15 20 25 30 35 40 45 50

0 7 kg 1 5



Mclntosh

A. B. C. D.

A. B. C. D.

1.9 3.8 5.6 5.7

4

9th IMO | Class-5 | Level 2 |

2

3

kg kg kg kg

31. Find P, Q and P + Q + R. 96 ×89 P64 +7 Q 8 0

28. Select the correct bar graph which represents the data shown in pictograph.

A.

Figure III

Figure I Figure II Figure III All have equal shaded part of a fraction

27. How many blocks should the students shade on the graph to represent the number of Jonathan apples sold ?



Figure II

30. What is the weight of a ball shown in the figure, if all the balls have same weight?

McIntosh

= 10 apples



8 54R

A. B. C. D.

P 8 4 3 2

Q 6 6 5 7

P+Q+R 18 12 14 15 5

32. 3 shirts and 7 pairs of pants have a total of 55 buttons. Each pair of pants has 5 fewer buttons than each shirt. How many buttons are there on each shirt?

A. B. C. D.

4 9 25 30

33. Which type of angle has a measure that is smaller than obtuse angle?

A. B. C. D.

Acute Right Straight Both A and B

completed the marathon. How many people completed the marathon?

A. B. C. D.

4945 4942 4940 4948

38. Ali bought three fields. He bought Field (P) at the rate of ` 95 for a square metre, Field (Q) at the rate of ` 110 for a square metre and Field (R) at the rate of ` 120 for a square metre. Find the total cost of all three fields.

34. What is the sum of P and Q ? 1



A. B. C. D.

3 4

7.6 7.25 7.75 7.5

4 P



5 Q

35. Naman left the town P at time shown below. After 1 hour 50 minutes, he stopped at Town Q for rest. He then took another 2 hours 25 minutes to reach Town R. How long was his rest break?



A. B. C. D.

2 1 1 2

hr 50 mins hr 25 mins hr 50 mins hrs 10 mins

A. B. C. D.

(2)

(3)

Only (2) Both (3) and (4) (1), (2), (3) and (4) (1), (2) and (4)

(4)

(5)

37. 8348 people took part in a marathon. 926 people gave up after the first hour. One third of the remaining people gave up after the second hour. The rest 6

189000 180900 198000 981000

39. The given figures are made up of identical squares. If each side of the square is 3 cm, then find : (i) the perimeter of figures P and Q respectively. (ii) the difference in area of the figures P & Q.

P (i) (ii) cm, 48 cm 54 cm2 cm, 54 cm 63 cm2 cm, 45 cm 45 cm2 cm, 48 cm 54 cm2

Q

40. Select the INCORRECT match.

MILK (1)

` ` ` `

A. 45 B. 54 C. 48 D. 48

36. Which of the following are symmetric figures?



A. B. C. D.



A. B. C. D.

218 - CCXVIII 399 - CCCXCIX 3249 - MMMCCXLX 1667 - MDCLXVII

41. The given table shows the height of a plant measured over five weeks. What is the rate of growth of the plant during the third week? At the end of

1st week

2nd week

3rd week

4th week

5th week

Height (cm)

3

10

31

50

65

| 9th IMO | Class-5 | Level 2



A. B.



C.



D.

11 times of height in 1st week 4 times the height in 2nd week 1 times of height in 4th week 5 None of these

Weight of rice Price

42. A football team is planning a trip to the beach, where they will spend the night in tents. If each tent hold 3 players, which of the following table in the options correctly shows the number of tents needed for different numbers of players?





A.

C.

Number Number of of players tents 12 36 B. 18 54 21 63 33 99

Number Number of of players tents 12 4 18 6 21 7 33 11

Number Number of of players tents 12 4 D. 18 2 21 1 33 4

Number Number of of players tents 12 6 18 9 21 11 33 17



A. C.

Market P

Market Q

Market R

Market S

5 kg

10 kg

20 kg

15 kg

` 22.50

` 45

` 52.50

` 36.50

Market P Market R

B. D.

Market Q Market S

44. What is the least number of squares that must be added, so that the line AB becomes a line of symmetry? B

A



A. C.

1 3

B. D.

2 4

45. Harsha is decorating her bedroom. She has the following choices of wall colour, curtain and bedsheet. Wall colour Blue Green Yellow

43. The given table shows the price of rice in four different markets. Which market offers the lowest price for rice per kg?

Curtain Spotted Striped Checkered

Bedsheet Flowers Plain Checkered

What is the total number of combinations of 1 wall colour, 1 curtain, and 1 bedsheet that are possible?

A. C.

27 12

B. D.

8 18

B. D.

48 cm2 20 cm2

Achievers Section 46. If

+ +



A. B. C. D.

+ +

+

+

= 116 and

= 64, then the value of

×

=

364 264 226 494



(i)

12 cm

43 cm2 12 cm2

48. Match the columns: Column-I

(ii)

47. The given figure is made up of 5 identical squares. What is the area of the unshaded part?

9th IMO | Class-5 | Level 2 |

A. C.

Column-II

Subtract 2885.3 from product (P) 27.276 of 341.6 and 9 Sum of 8.015 , 15.001, 0.06, (Q) 189.1 4.2

(iii) 18.7 more than 24 thousandths (R) 0.724 is ____ more 18. (iv) 14 + 8 + 108 + 345 (S) 16.225 10 100 1000

A. B. C. D.

(i) (i) (i) (i)

-

(P), (ii) - (R), (iii) - (Q), (iv) - (S) (S), (ii) - (R), (iii) - (P), (iv) - (Q) (S), (ii) - (P), (iii) - (R), (iv) - (Q) (Q), (ii) - (P), (iii) - (R), (iv) - (S) 7

49. Find the value of P + Q – R + S.



A. C.

4 5

B. D.

9 6

50. Which of the following has the largest area and smallest perimeter? (i) A square of side 6 cm. (ii) A rectangle of length 9 cm and breadth 5 cm. (iii) A square of side 8 cm. (iv) A rectangle of length 7 cm and breadth 8 cm. Largest area Smallest perimeter A. (i) (iii) B. (ii) (iii) C. (iii) (i) D. (i) (i) SPACE FOR ROUGH WORK

8

| 9th IMO | Class-5 | Level 2

10th

LEVEL - 2 Year 2016-17

MATHEMATICS 1.



Which one of the following statements is true about the given square and rectangle?



A. 494.23 B. 430.78 C. 493.73 D. 430.83

6.

If



Find the value of



A. 3.02 B. 5 C. 2.05 D. 5.03

7.

Find the value of P, Q and R.

A. P e r i m e t e r o f s q u a r e = 2 ( P e r i m e t e r o f rectangle)



2 (Perimeter of B. Perimeter of square = 3 rectangle)



3 (Perimeter of C. Perimeter of square = 2 rectangle)



1 D. Perimeter of square = (Perimeter of 2 rectangle)

2.

Which group of numbers are arranged from the largest to the smallest?



A. 0.3, 3.0, 0.03, 0.003



B. 1.4, 0.14, 1.04, 1.004



C. 9.25, 9.95, 9.59, 9.92



D. 4.6, 4.26, 4.16, 4.06

3.

Which of the following numbers is divisible by 2 but not divisible by 3?



A. 1764

B. 2160 C. 4926

D. 3328

4.

Find the value of P + Q – R.



A. 9

+

+

.

P – Q + R = 16640657 P Q R A. 2351687 13562482 5429862 B. 13562482 2351687 5429862 C. 5429862 13562482 2351687 D. 13562482 5429862 2351687 8.

Find the difference between the greatest and smallest 8-digit numbers formed by using the digits 7, 4, 8, 2, 0, 3, 9 (each digit should be used atleast once).



A. 79839531 B. 8833531 C. 89839441 D. 79839441

9.

Figure PQRSTUVW is made up of a rectangle and a square. Find the length of RQ, if perimeter of rectangle 6 times of perimeter of square. is 7



A. B. C. D.

B. 8 C. 7

D. 0

5.

Add 8 tenths to 5 hundreds and 5 hundredths. Subtract the addition of 7 tens and 7 hundredths from the previous result. What will be the answer ?

2

3 4 6 2

cm cm cm cm | 10th IMO | Class-5 | Level 2

10. Select the correct match.

A. 115.32 × 2 = 23.064



B. 1272.55 ÷ 5 = 254.501



C. 3.15 × 12 = 37.8



D. 54.51 × 51 = 2780.1

15. The given figure is formed by identical squares. If area of the figure is 980 cm2 , then find the length of PQ.

11. How many minimum number of square(s) must be shaded to make the given figure symmetric along the dotted line?



A. 14 m



B. 28 cm



C. 14 cm



D. 24 m

16. What fraction of given figure is unshaded, if all the squares are identical?



A. 2

B. 3.5

C. 4

D. 4.5

12. If 6 identical squares have a total area of 150 cm2 , then find the perimeter of a square.

A. 20/112

B. 30/64



A. 50 cm

C. 45/64



B. 25 cm





C. 30 cm



D. 20 cm

17. Find the sum of the common prime factors of 168 and 252.

13. Find the value of P, Q and R. 12-hour clock 3 : 45 pm 12 : 01 am 10 : 06 pm P

24-hour clock P Q R Q

R



A. 03:45 hours 12:01 hours 22:06 hours



B. 03:45 hours 00:01 hours 10:06 hours



C. 15:45 hours 00:01 hours 22:06 hours



D. 15:45 hours 12:01 hours 22:06 hours

14. R o u n d e d o ff ( 3 1 6 9 6 7 6 + 2 1 9 3 4 ) t o n e a r e s t thousand.

A. 3192000

B. 3182000 C. 3191000



D. 3181000

10th IMO | Class-5 | Level 2 |

D. 40/56

A. 11

B. 12 C. 13

D. None of these

18. How many right angles and straight angles are there in 7 1 complete turn? 2

A. 32, 16



B. 8, 7



C. 28, 14



D. 30, 15 1 3 of a number is 15 less than the of the same 5 20 number, then find the number.

19. If

A. 300

B. 250 C. 200

D. 350 3

20. If 7th October falls on Monday, then which day of the week is 1st December?

A. Sunday

B. Saturday

26. The graph shows Priya’s marks in Mathematics in four . If Priya’s total score was 363, how many more marks did she score in Term III than in Term IV.

C. Monday

D. Tuesday

21. How many eighths are there in 1.75?

A. 14

B. 16 C. 18

D. 12

22. There are 75 people at a party. 25 of them are men. 1 If   5

th

of them are women, then find the fraction

of children in the party. 5 A. 7 7 B. 15 8 C. 15 3 D. 14 23. Identify the number using given clues.

•

It is a three digit even number.



•

It is common multiple of 16 and 64.



•

It has a total of 9 factors.



A. 256

B.

128

C. 320

D. 192

24. In 12,99,897, the place value of the digit ‘2’ is how many times the place value of digit ‘8’?

A. 250

B. 20000 C. 800

D. 2000

25. Find the value of x. 99 × 96 = (99 × 100) – (x × 33)

A. 13

B. 12 C. 63 4

D. 15



A. 4 B. 2 C. 3 D. 1

27. Compare and put the sign (< , > or = ) in the box. LXXIV + CLXXXIX DCLXXIV + MXLVI A. = B. < C. > D. None of these 28. Trishu has 9 1 of pizza. How many quarter pieces 4 can she cut from it ?

A. 37 B. 36 C. 9 D. 27

29. Sam started jogging at 06:20 hours. He jogged 35 minutes before taking 10 mins rest. He then walked and reached home at 9:15 am. How much time did he take to walk home?

A. B. C. D.

1 2 2 2

hour 5 mins hours 50 mins hours 10 mins hours

30. Garima wants to buy a watch which costs `31925. She saves `2000 every month. How many months does Garima need to save in order to pay for the watch?

A. 12 B. 16 C. 15 D. 10 | 10th IMO | Class-5 | Level 2

31. Trishika cut a wire and bent to form 4 similar rectangles. The length of each rectangle is 2 more than the twice its breadth. If the length of a rectangle is 22 cm, what is the original length of the wire she had?

36. A jacket costs 15 1 times as much as a pair of socks. 2 If the jacket costs `3472, then how much does it cost to buy 2 jackets and 2 pairs of socks.



A. 256 cm

A. `7392



B. 200 cm

B. `6930



C. 196 cm

C. `8580



D. 176 cm

D. `9525

32. 2 oranges cost `15 and 4 bananas cost `12. Samaksh bought 12 dozen of oranges and 15 dozen of bananas. If he gave `2000 to shopkeeper, then how much change did he get back? A. `240 B. `150 C. `380 D. `442 2 of it to Priyanka and 33. Ruchi baked a cake and gave 3 1 of it to her children. What fraction of cake was 8 left with her ?

37. In the English alphabets, how many letters have rotational symmetry?

A. 5

B. 8 C. 9

D. None of these

38. If the length of a rectangular garden is 4th multiple 3 of the length, then find the 8 perimeter and the area of the garden respectively. of 16 and breadth is



A. 176 units, 1536 sq. units



B. 44 units, 96 sq. units

A. 5/24



C. 176 sq. units, 1536 units

B. 5/19



D. 44 sq. units, 96 units



C. 3/24

D. 1/24

34. Find the shaded area of the given figure.

39. The given table shows the number of children that take up different types of sports as their Curriculum Activity. Types of sport Bton Basketball Bowling Table tennis

cm2



A. 22



B. 50 cm2



C. 24 cm2



D. None of these

35. If you add 1 to a number and round it off to the nearest ten, the answer is 1870. If you add 2 to the number and round it off to the nearest ten, the answer is 1880. What is the number?

A. 1873



12 22 25

Total 45 38 38

A. 13

B. 15 C. 26

D. 18

1 1 1 40. How many eighths are there in 1 + 2 + 1 + 2.75? 2 2 4 A. 56 B. 7

C. 1874

C. 64





10th IMO | Class-5 | Level 2 |

14

Number of girls

How many more boys take basketball than table tennis?

B. 1863 D. 1864

Number of boys 29

D. 14 5

41. Which of the following shapes can not tessellated?



A. Only P and Q



B. Only Q and R



C. Only R



D. None of these

44. Nidhi bought 16 bottles of soft drinks. Each bottle had 650 ml of drink in it. What was the total amount of drinks she bought altogether?

42. I cycled 12 km 500 m and then walked 4 km 250 m. What was the total distance travelled by me?

A. B. C. D.

10 10 10 10

L L L L

40 ml 400 ml 400 cl 40 dl

1 of 45. The given figure is made up of 3 squares. If 3 1 of square Q are shaded, what fraction square P and 4 of square R is shaded?

3 1 16 km B. 16 km A. 4 4 3 7 16 km D. 16 km C. 8 50 43. If the day before yesterday was Monday, then the day after tomorrow will be______.

A. Thursday

B. Saturday A. 1/2 C. 1/4

C. Friday

D. Wednesday

B. 1/5 D. 2/3

ACHIEVERS SECTION 46. Match the following: Column I Column II P. MCMXLVII – MV (i) 2857 Q. MCMLVII + CM (ii) 798 R. DCLXXVII – XX (iii) 942 S. DXCIX + CXCIX (iv) 657 A. P → (ii); Q → (iii); R → (i); S → (iv) B. P → (iii); Q → (iv); R → (ii); S → (i) C. P → (iii); Q → (i); R → (iv); S → (ii) D. P → (ii); Q → (iv); R → (iii); S → (i) 3 47. If  + O + O + O + O =  +  +  and O = 2 4 then  × O = ? 3 12 A. 4 1 16 B. 4 16 C.

1 8

15 D.

1 8

6

48. Read the statements carefully and select the correct option.



Statement-1 : Weight of three such balls is 36 less than weight of 5 such balls.



Statement-2 : Value of weight of 7 such balls is 6th multiple of 21.



A. Both statement-1 and statement-2 are true.



B. Statement-1 is true and statement-2 is false.



C. Statement-1 is false and statement-2 is true.



D. Both statement-1 and statement-2 are false. | 10th IMO | Class-5 | Level 2

49. A square piece of paper is folded as shown. If the area of each shaded part is 72 cm2, find the perimeter of the piece of paper when it is unfolded.

50. Read the statements carefully and state ‘T’ for true and ‘F’ for false. 1 1 1 1 7 + (i) + + = 3 4 5 12 10 3 1 3 1 17 (ii) + − = + 4 6 7 3 28 4 − 3  3 − 3  (iii)  5 14  is less than  4 20   3 + 1  is not less than  7 + 1  (iv)  12 4   7 3



A. 98 cm



B. 32 cm



C. 96 cm



D. 56 cm

(i) (ii) (iii) A. T T F B. F F T C. T F T D. F T F

(iv) F T F T

SPACE FOR ROUGH WORK

10th IMO | Class-5 | Level 2 |

7

ANSWER KEYS 5TH IMO 1. (C) 8. (C) 15. (A) 22. (B) 29. (A) 36. (A) 43. (A) 50. (D)

2. (A) 9. (D) 16. (B) 23. (B) 30. (A) 37. (D) 44. (C)

3. (D) 4. (A) 5. (B) 6. (D) 7. 10. (C) 11. (C) 12. (B) 13. (C) 14. 17. (B) 18. (D) 19. (A) 20. (B) 21. 24. (C) 25. (C) 26. (D) 27. (C) 28. 31. (B) 32. (C) 33. (D) 34. (B) 35. 38. (D) 39. (A) 40. (D) 41. (C) 42. 45. (C) 46. (B) 47. (D) 48. (A) 49.

(C) (B) (D) (A) (A) (B) (A)

6TH IMO 1. (C) 8. (B) 15. (A) 22. (A) 29. (D) 36. (C) 43. (A) 50. (D)

2. (B) 9. (D) 16. (A) 23. (A) 30. (C) 37. (D) 44. (B)

3. (A) 4. (D) 5. (B) 6. (D) 7. 10. (B) 11. (C) 12. (C) 13. (D) 14. 17. (C) 18. (D) 19. (B) 20. (C) 21. 24. (D) 25. (A) 26. (C) 27. (B) 28. 31. (D) 32. (A) 33. (B) 34. (D) 35. 38. (B) 39. (B) 40. (C) 41. (C) 42. 45. (B) 46. (D) 47. (C) 48. (B) 49.

(A) (B) (B) (D) (C) (C) (A)

7TH IMO 1. (D) 8. (C) 15. (C) 22. (D) 29. (D) 36. (C) 43. (C) 50. (D)

2. (D) 9. (C) 16. (B) 23. (A) 30. (A) 37. (D) 44. (B)

3. (B) 4. (B) 5. (A) 6. (D) 7. 10. (B) 11. (A) 12. (C) 13. (D) 14. 17. (D) 18. (B) 19. (A) 20. (B) 21. 24. (D) 25. (D) 26. (B) 27. (A) 28. 31. (C) 32. (C) 33. (A) 34. (B) 35. 38. (D) 39. (D) 40. (D) 41. (C) 42. 45. (B) 46. (D) 47. (B) 48. (D) 49.

(C) (D) (C) (A) (C) (B) (B)

8th IMO-Level 2 was an online exam. Hence, paper cannot be included in the booklet.

9TH IMO 1. 2. 3. 4. 5. 6. 7. 8.

(C) (B) (B) (A) (A) (B) (C) (C)

9. (A) 10. (A) 11. (C) 12. (D) 13. (A) 14. (B) 15. (C) 16. (B)

17. (A) 25. (D) 33. (D) 41. (D) 49. (D) 18. (C) 26. (C) 34. (B) 42. (B) 50. (C) 19. (B) 27. (A) 35. (C) 43. (D) 20. (A) 28. (A) 36. (D) 44. (D) 21. (D) 29. (B) 37. (D) 45. (A) 22. (C) 30. (A) 38. (B) 46. (D) 23. (D) 31. (A) 39. (B) 47. (B) 24. (C) 32. (B) 40. (C) 48. (D)

10th IMO 1. (B) 2. (D) 3. (D) 4. (A) 5. (B) 6. (D) 7. 8. (A) 9. (A) 10. (C) 11. (A) 12. (D) 13. (C) 14. 15. (B) 16. (C) 17. (B) 18. (D) 19. (A) 20. (A) 21. 22. (B) 23. (A) 24. (A) 25. (B) 26. (D) 27. (C) 28. 29. (C) 30. (B) 31. (A) 32. (C) 33. (A) 34. (A) 35. 36. (A) 37. (D) 38. (A) 39. (A) 40. (C) 41. (D) 42. 43. (C) 44. (B) 45. (C) 46. (C) 47. (D) 48. (A) 49. 50. (C)

(B) (A) (A) (A) (A) (A) (C)