Class 5 IMO 5 Years e Book Level 2 2018

INTERNATIONAL IN TERNATIONAL MA M ATHEMATICS OLYMPIAD OLYMPIAD

Level 2

SOLVED PAPERS 5 Years (2013-2014, 2016-2018) CLASS

5

INSTANT

Copyright © 2018 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.

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CLASS 1 For latest releases and revised editions CLICK HERE

International Mathematics Olympiad

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For Classes 6, 7, 8, 9, 10, 11 & 12 C l ass 6

Cl ass 8

1 1

Class

2 1 Class

Cl ass 7

C las s 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

For Classes 10, 11 and 12 Class 12

Class 11

Class 10

For Classes 10 & 12

Class 10

Class 12

IMPORTANT INSTRUCTIONS Exam Date : 10 : 10th February 2019. Center of exam : As assigned by SOF on your admit card. Kindly coordinate with your school coordinator for exact information about exam. Write to [email protected] for [email protected] for any enquiry. Mode of exam : IEO/NSO/IMO level 2 for academic year 2018-19 will be a paper-pen objective test. Pattern of the exams : INTERNATIONAL ENGLISH OLYMPIAD Class

Section Word and Structure

3 to 4

5 to 12

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

No. of Questions

Marks per Question

Total Marks

30

1

30

5 35

2

10 40

45

1

45

5 50

3

15 60

No. of Questions

Marks per Question

Total Marks

30 5 35 45 5 50 25 5 20 50

1 2

30 10 40 45 15 60 25 15 20 60

NATIONAL SCIENCE OLYMPIAD Class 3 to 4

5 to 10

11 and 12

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

1 3 1 3 1

INTERNATIONAL MATHEMATICS 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

Total Marks

30 5 35 45 5 50

1 2

30 10 40 45 15 60

1 3

CLASS 5

Contents Â

IMO - Level-2 (2013)

Â


Â

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

Â


Â


Â


LEVEL - 2

Year 2012-13

| 6th IMO | Level-II | Class 5

2

SECTION-I : LOGICAL REASONING 1.

In which which of the following options the given shape shape (X) is hidden?

(A)

2.

(C)

(D)

(B)

(C)

(D)

(B)

(C)

(D)

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

(A)

6.

(B)

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

(A)

5.

(D)

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

(A)

4.

(C)

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

(A)

3.

(B)

(B)

(C)

(D)

Choose the missing terms 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

6th IMO | Level-II | Class 5 |

3 7.

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

(A)

8.

(C)

(D)

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

(A)

9.

(B)

(B)

(C)

(D)

Which of the following options will complete the given gure matrix?

(A)

(B)

(C)

(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, 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. Which of the following Venn diagrams correctly depicts the rel ationship between 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

14. Find the missing character. character.

(A) 27

(B) 35

(C) 54

(D) 64

15. What is the minimum number of straight lines required required to make the given gure? (A) 12 (B) 10 (C) 14 (D) 18 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 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 5

of the gure is unshaded?

(C) 25

(D) 30


5

22. A bird park purchased 50 parrots in July. The line graph shows 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 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

(B) Supermarket Q

`

35

`

(C) Supermarket R

32

`

16

(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 square with a perimeter of 28 cm. with a perimeter of 28 cm and length 8 cm. (D) A rectangle with 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 gure have? (A) 1 (B) 2 (C) 3 (D) 4 28. What is the sum of P, 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

30. A kindergarten teacher gave 114 114 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 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 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)

`

6

Adults

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 rst two common multiples of 9 and 12 is _____. _____. (A) 21 (B) 36 (C) 63

(D) 108

35. What is the value 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

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

(C)

19 8

(C) 1440 and 78

50

(D)

100

(D) 1445 and 78

38. On a particular day, day, a shop had 985 customers. 2/5 of 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 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 gure, 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?

112 122 132 100

cm2 cm2 cm2 cm2

SECTION-III : EVERYDAY MATHEMATICS 41. Gopal has a rope 2 m long. He cut

1 2

m from it and the rest of it equally into 4 pieces. What is

the length of each of the four pieces? (A)

1 4

m

42. There were

(B) 3 5

1 2

m

(C)

3 8

m

(D)

1

1 2

m

as many men as women at a seminar. There were 48 fewer men than women. What

was the total number of men and women at the seminar? (A) 120 (B) 128 (C) 192

(D) 240

43. 22 children were at a birthday party. 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 x a model plane. Kartik took half the time to x x the same plane. At what time would Kartik have nished xing the plane if he started at 11 : 45? (A) 13 : 45 46.

4 7

(B) 14 : 25

(C) 14 : 35

(D) 15 : 15

of the children in the hall are girls and the rest are boys. If there are 12 more girls than boys,

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 re destroyed 5679 trees. trees. After the re, 8972 new trees were planted. How many trees were not destroyed by the re? (A) 867810

(B) 681972

(C) 870618

(D) 739817


8

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

3 4

49. Neha had 2 saving accounts. accounts. She had `

5

of the rst number. number.

of the second number. number. The difference between the rst number and the

third number is 33. What is the second number? (A) 60 (B) 36 (C) 27

transferred

3

`

(D) 14

405.50 more in account P than in account Q. After she

48.40 from account P to account Q, the amount of money she had in account P was

4 times the amount in account Q. How much did she have in account P at rst? (A) ` 460 (B) 54.60 (C) ` 260.50 (D) ` 351.00 50. Garima and her sister had 213 beads at rst. After Garima bought another 66 beads, Garima had twice as many beads as her sister. How many beads did Garima have at rst? (A) 13 (B) 27 (C) 935 (D) 120 SPACE FOR ROUGH WORK

LEVEL - 2

Year 2013-14

7th IMO | Class-5 | Level 2

2 LOGICAL REASONING

1.

Find the number of cubes in the given solid gure. A. B. C. D.

2.

Find the missing figure from the options which will continue the series established by the problem gures.

KLHVZ KLZVH KLVZH KLVZI

E

I

C C N S

E

1

2

3

7

4

5

6

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

A.

B.

C.

D.

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

Find the gure from the options which completes the Fig. (X).

8.

5.

Stadium Shopping centre Library Clinic

Problem Figure

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.

A. B. C. D. 4.

6.

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

3.

21 23 24 22

A. B. C. D.

A.

B.

C.

D.

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

9.

A.

B.

C.

D.

Select the correct mirror image of gure (X).

A.

B.

C.

D.

Which number will replace the question mark?

3

7th IMO | Class-5 | Level 2 A. B. C. D. 10.

13.

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

If the pattern continues, what letter will be at the 99 th position posi tion??

A. B. C. D. 12.

15.

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

11.

98 105 110 125

16.

17.

Count the number of triangles in the given gure. 22

B.

23

C.

25

D.

None of these

B.

C.

D.

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?

What comes next in the given number series ?

A. B. C. D. 18.

Problem Set

B.

Father Brother Cousin Can't be determined

0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ?

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

A.

A.

A. B. C. D.

Z Y X Can't be determined

A.

Which of the following completes the rst pair in the same way as the second pair?

19.

28 30 32 35

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

A.

B.

C.

D.

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

C.

14.

D.

Which of the following letter is fteenth to the right of the sixth letter from the left end of the given arrangement?

A. B. C. D.

D E B A U C D A E B

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

A. B. C. D.

A. B. C. D.

D U B C A B E D C A B U D C B A E D B C A D B E A

20.

GERMAN NOTION NOTATIO NOTA TION N SMART

17 97 80 63


4 MATHEMATICAL REASONING

21.

MMMMDCCI + MMMMDCCCI = _______. A. B. C. D.

22.

5725 7625 6752 6725

A. B. C. D. 27.

÷ ÷ ÷ ×

24 69 32 13

Find the unshaded area.

If the product of

2

21

189 cm2 185 cm2 198 cm2 115 cm2

A. B. C D.

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

number, it gives

25.

What should be the number in the empty box ?

Which gure has greatest unshaded fraction?

A. B. C. D. 24.

9052 8502 9502 7052

The value of 64.1 × 100 + 4.5 × 70 = A. B. C. D.

23.

26.

DIRECTION (28-29) : The given line graph shows

the number of sofa sets sold in a furniture shop from

4 and 3 is subtracted from a 7

January to June. Study it carefully and answer the given questions.

5 . Find the number. 14

12 16

A.

13

B.

8

C.

11

D.

29

9 14 10 14 1 14

28.

The given table shows the postage rates at a post ofce. Study carefully and answer the following question. Postage Rates First 50 g

Every additional 30 g or part thereof

Local mail

1.50 ` 1.50

40 paise

Foreign mail

1.90 ` 1.90

60 paise

How much postage is needed to send a local mail How

29.

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

6

B.

5

C.

3

D.

10

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?

of mass 1460 g?

A.

` 1042000

15.90 ` 15.90

B.

` 4012000

C.

` 102400

D.

` 1024000

A. B. C. D.

19.00 ` 19.00 16.90 ` 16.90 20.30 ` 20.30

5

7th IMO | Class-5 | Level 2 30.

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

2440 secs

Binny

125 mins 40 secs

Kirti

123 mins 24 secs

Aakash

24 mins 25 secs

Aman

24 mins 20 secs

31.

Kirti Aman

B. D.

33.

34.

10 100 1000 10000

What is 1 less than A. B. C. D.

Mahek Aakash

The given gure 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 gure.

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.

Time taken

Mahek

A. C.

32.

1 4

of a million?

249999 500001 500000 499991

Find the missing number in the box. 552847 = 500000 + A. B. C. D.

35.

+ 25000 + 40 + 7

2780 27800 278000 2780000

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.

2500000

B.

2050000

C.

1300008

D.

1300080

EVERYDAY MATHEMATICS

36.

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

38.

39.

37.

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.

`

5,90,586

B.

`

5,90,596

C.

`

8,90,586

D.

`

9,25,636

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.

4 kg 250 g

A.

1 hr

B.

3 kg 500 g

B.

2 hrs 25 mins

C.

3 kg 250 g

C.

1 hr 25 mins

D.

4 kg 500 g

D.

1 hr 35 mins

3 Tanu Ta nu has 196 beads. Shalini has 1 times as many beads 4 as Tanu. How many beads do they have altogether? A. C.

343 339

B. D.

439 539

40.

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

Mohit spent

A. C.

` 360 ` 320

B. D.

720 ` 720 160 ` 160


6 41.

A study is 6 m wide by 11 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.

42.

m2 m2 m2 m2

44.

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.

43.

58 60 56 50

A. B. C. D.

1.48 1.47 1.45 1.37

L L L L

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

months months months months

4838 people took part in a marathon. 425 people gave up after the rst hour. One third of the remaining pe op le ga ve up af te r th e se co nd ho ur. Th e re st completed the marathon. How many people completed the marathon? A. B. C. D.

45.

24 32 14 34

2945 2942 2940 2948

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

A. B. C. D. 48.

47.

32 36 38 24

cm2 cm2 cm2 cm2

B.

Match the columns: Column-I

(i)

14 +

(ii) (i i)

8 108 345 + + 10 100 1000

Column-II

( P)

27.276

24 th thou ousa sand ndth thss le less ss than 18.7 is ____ more 18.

(Q)

189.1

(iii) (ii i) Sum Sum of 15 15.0 .001 01,, 8.01 8.015, 5, 4.2, 0.06

(R)

0.676

C.

D. (iv)) (iv

Subt Su btra ract ct 28 2885 85.3 .3 fro from m product of 341.6 and 9

( S)

16.225

-

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

Which of the following figures has the smallest smallest unshaded area?

A.

A. B. C. D.

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

7

7th IMO | Class-5 | Level 2 49.

Find P + Q × R – S.

A.

25

B.

26

C. D.

27 28

50.

One third of the members of a badminton club are girls. Which of the following bar graphs is the correct representation of the members of the club?

A.

B.

C.

D.

SPACE SPA CE FOR ROUGH WORK

LEVEL - 2

Year 2015-16

MATHEMATICS

1.

2.

3.

MMDCCI + DCCCI = _______. A.

MCLII

B.

MMCII

C.

MMMDII

D.

MMMMMDII

6.

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

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.

258 m 2

B.

253 m 2

C.

256 m 2

D.

250 m 2

A.

430240

B.

440320

C.

440230

A.

12 th

D.

404230

B.

24 th

C.

32 th

D.

28 th

7.

The given graph shows the temperature taken on a certain day. 8.

40 35 30 )

Four times of 96 is ______ multiple of 12.

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

3634

C

25

B.

3160

er

20

C.

3024

D.

4312

(° ut ar e

15 p m e T

9.

10

A rule for a function table is given below.

5

Multiply the input value by 2 and add that product

0

to 10 to get the output value”. 10 a.m.

11 a.m a.m.. 12 noon noon

1 p.m.

2 p.m.

Time (hours)

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

The increase in temperature is greatest from ________. ____ ____.

4.

5.

A.

10 a.m. to 11 a.m.

B.

11 a.m. to 12 noon

C.

12 noon to 1 p.m.

D.

1 p.m. to 2 p.m.

A.

Which of the following has the greatest value?

Out pu t

2

14

0

10

4

18

3

16

In pu t

Out pu t

2

14

0

0

A.

21 hundredths

B.

109 thousandths

C.

25 thousandths

4

4

D.

15 hundredths

3

8

In pu t

Out pu t

2

14

0

10

B.

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

2

In pu t

C.

A.

2699992

B.

2050000

4

4

C.

1300008

3

6

D.

1300080 | 9th IMO | Class-5 | Level 2

In put

O ut put

A.

` 2000

2

6

B.

` 7200

0

10

C.

` 3000

4

14

D.

` 1600

3

16

D.

10.

14.

a piece of rectangular paper as shown in the given

The given line graph shows the number of puppies sold by Varun in the past 4 weeks.

gure. What is the area of the shaded part? 18 cm

Number of puppies puppies sold

350 300 250 200 150 100 50 0

10 cm 6 cm

12 cm

Week 1

Week 2

Week 3

Week 4

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

11.

Four small identical rectangles have been cut from

A.

` 28000

B.

` 30000

C.

`

D.

` 10000

15.

32000

A.

112 cm 2

B.

84 cm 2

C.

132 cm 2

D.

100 cm 2

What is the fractional value of P and Q ?

6 .4 7

Find the unshaded area of the given gure.

A. B. C. 2 cm

D.

2 cm

12.

13.

A.

66 cm 2

B.

176 cm 2

C.

126 cm

2

D.

134 cm 2

6 .4 9 Q

16.

3

P

Q

6496

6482

1000

1000

6494

6478

1000

1000

6496

6486

1000

1000

6483

6483

1000

1000

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

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

A.

Greater than

B.

Less than

C.

Equal to

A.

1189

D.

Data Inadequate

B.

1765

C.

1926

D.

1826

Garima has 204 stamps, Priya has 2

Mohit spent saved

`

17.

P

What is the value of 82.24 – 2.24 × 6 + 3.4

÷

5 in

fractions? 1

of his salary on buying a watch and 4 1500. How much did he earn in a month?

9th IMO | Class-5 | Level 2 |

A.

6948/100

B.

6958/100

C.

9668/1000

D.

6812/1000 3

18.

What is the weight of ve such watermelons shown in the given gure?

22. 0 70 kg 10 60 50

A.

95 cm, 300 cm 2

B.

90 cm, 240 cm 2

C.

110 cm, 300 cm 2

D.

96 cm, 180 cm 2

Find the sum of area of the shaded part and area of whole gure. 2 cm

20 40

10 cm 4 cm

30 6 cm

19.

A.

540 kg

B.

240 kg

C.

360 kg

D.

72 kg

8 cm

The given graph shows the daily number of presentees for ve days i n class V. V. What is the difference between the highest number of presentees and the lowest number of presentees in the class?

23.

48

s e e t n e s e r P

B.

230 cm 2

C.

140 cm 2

D.

150 cm 2

The given table shows the fare of travelling from two trains P and Q. Study it carefully and answer the following question. Fare (1 st km)

16

Mond Monday ay

Tuesd uesday ay

Wedne ednesd sday ay Thu Thurs rsda day y

Frid Friday ay

Every additional (1/2) km or part thereof

Train P

` 7.50

50 paise

Train Q

9 .90 ` 9.

6 0 pa is e

A.

16

B.

24

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

C.

28

A.

` 19.90

D.

32

B.

` 19.00

C.

` 16.90

D.

` 19.50

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?

24.

The given table shows the time taken by ve friends to complete their lunch. Which friend had nished the lunch before Meetu?

A.

7

B.

8

Na me

Ti me ta k en

C.

16

M ee tu

24 40 s ecs

D.

15

B eena

1 25 mi ns 40 s ecs

Ko mal

1 23 mi ns 24 s ecs

Ank it

24 mi ns 2 5 s ec s

Aar av

44 mi ns 2 0 s ec s

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

25.

4

190 cm 2

32

0

21.

A.

A.

Aarav

B.

Komal

C.

Ankit

D.

Beena

One third of the members of a badminton club are boys . Which of the fo llowing llow ing bar graphs gr aphs is th e correct correc t representation of the members of the club? | 9th IMO | Class-5 | Level 2

A.

B. Boys

Girls

C.

B. Girls

Boys

Girls

Boys

D. C. Boys

Girls

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.

D.

None of these

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

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.

Figure I

Figure II

Figure III

A.

Figure I

Apples sold in a Food Store

B.

Figure II

Red delicious

C.

Figure III

Golden delicious

D.

All have equal shaded part of a fraction

Red rome

30.

McIntosh Jonathan = 10 apples

27.

What is the weight of a ball shown in the gure, if all the balls have same weight?

= 5 apples

How many blocks should the students shade on the graph to represent the number of Jonathan apples sold ? App App es so

0 7 kg 1 6

n a Foo Foo Store tore

2 5

4

3

Jonathan Mclntosh

A.

1.9 kg

Red rome

B.

3.8 kg

C.

5.6 kg

D.

5.7 kg

Golden delicious Red delicious 5

28.

A. B. C.

7 6 5

D.

4

10 15 20 25

30 35 40 45 50

31.

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

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

A.


8 5 4R

P

Q

P + Q + R

A.

8

6

18

B.

4

6

12

C.

3

5

14

D.

2

7

15 5

32.

33.

34.

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

completed the marathon. How many people completed the marathon? A.

4945

A.

4

B.

4942

B.

9

C.

4940

C.

25

D.

4948

D.

30

38.

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

Acute

B.

Right

C.

Straight

D.

Both A and B

What is the sum of P and Q ?

1

3

4

4 P

35.

Ali bought three elds. 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 elds.

A.

7.6

B.

7.25

C.

7.75

D.

7.5

5 Q

39.

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.

` 189000

B.

` 180900

C.

` 198000

D.

` 981000

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

P

Q

(i)

36.

A.

2 hr 50 mins

B.

1 hr 25 mins

C.

1 hr 50 mins

D.

2 hrs 10 mins

40.

Which of the the following following are symmetric gures?

MILK

(1)

37.

6

(2)

(3)

A.

Only (2)

B.

Both (3) and (4)

C.

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

D.

(1), (2) and (4)

(4)

(5)

8348 people took part in a marathon. 926 people gave up after the rst hour. One third of the remaining pe op le ga ve up af te r th e se co nd ho ur. Th e re st

41.

(ii)

A.

45 cm, 48 cm

54 cm 2

B.

54 cm, 54 cm

63 cm 2

C.

48 cm, 45 cm

45 cm 2

D.

48 cm, 48 cm

54 cm 2

Select the INCORRECT match. A.

218 - CCXVIII

B.

399 - CCCXCIX

C.

3249 - MMMCCXLX

D.

1667 - MDCLXVII

The given table shows the height of a plant measured over ve weeks. What is the rate of growth of the plant plan t during duri ng the third thir d week? At the end of Height (cm)

1st 2 nd 3 rd 4th 5 th week week week week week 3

10

31

50

65

| 9th IMO | Class-5 | Level 2

A.

11 times of height in 1 st week

B.

4 times the height in 2 nd week

C. D. 42.

1

5 None of these

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?

12

36

18

12

4

54

18

6

21

63

21

7

33

99

33

11

43.

12

4

18

Market S

5 kg

10 kg

20 kg

15 kg

45

` 52.50

` 36.50

44.

`

A.

Market P

B.

Market Q

C.

Market R

D.

Market S

What is the least least number number of squares that that must be added, added, so that the line AB becomes becom es a line of symmetry symm etry?? B

Number Numbe r Number Numbe r of of players playe rs tents B.

Number Numb er Number Numb er of of players play ers tents C.

Market R

` 22.50

Price

A football team is planning a trip to the beach, where they will spend the night in tents.

A.

Market Q

Weight of rice

times of height in 4 th week

Number Numb er Number Numb er of of players play ers tents

Market P

A

Number Numbe r Number Numbe r of of players playe rs tents

45.

A.

1

B.

2

C.

3

D.

4

Harsha is decorating decorating her bedroom. bedroom. She has the the following following choices of wall colour, curtain and bedsheet.

12

6

W al l c ol ou r

Cur ta in

Bedsh eet

2

18

9

Bl ue

S po tt ed

Fl ower s

21

1

21

11

Gr ee n

S t ri pe d

P la in

33

4

33

17

Yellow

C heck er ed

Ch ecker ed

D.

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

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

A.

27

B.

8

C.

12

D.

18

ACHIEVERS SECTION

46.

If

+ +

47.

A.

364

B.

264

C.

226

D.

494

+ +

+

+

= 116 and

= 64, then the value of

×

= 48.

A.

43 cm 2

B.

48 cm 2

C.

12 cm 2

D.

20 cm 2

Match the columns: Co lu m n- I

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

(i) (i)

Subt Subtra ract ct 288 2885. 5.3 3 from from pro produ duct ct (P) 27.276 of 341.6 and 9

(ii) (ii)

Sum of 8.015 8.015 , 15.0 15.001 01,, 0.06 0.06,, (Q) 189.1 4.2

(iii) 18.7 18.7 more more than than 24 thou thousan sandth dthss (R) 0.724 is ____ more 18. (iv) 14 + 8 + 108 + 345 10 100 1000

12 cm


Col um n -II

( S) 1 6. 225

A.

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

B.

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

C.

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

D.

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

49.

Find the value of P + Q – R + S.

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

A. C.

4 5

B. D.

9 6

Smallest perimeter

A.

(i)

(iii)

B.

(ii)

(iii)

C.

(iii)

(i)

D.

(i)

(i)

SPACE SPACE FOR ROUGH WORK

8


LEVEL - 2

Year 2016-17

MATHEMATICS

1.

Which one of the following statements is true about

A.

494.23

the given square and rectangle?

B.

430.78

C.

493.73

D.

430.83

6. A.

If

Perimet er of square = 2(Peri meter of rectangle)

B.

Perimeter of square = rectangle)

C.

Perimeter of square = rectangle)

D.

Perime ter of squar e = rectangle)

2.

2 3 3 2 1 2

(Perimeter of Find the value of (Perimeter of

(Perimeter of 7.

Which group of numbers are arranged from the largest

A.

3.02

B.

5

C.

2.05

D.

5.03

P

–

2

+

R

=

16640657 Q

R

A.

0.3, 3.0, 0.03, 0.003

A.

2351687

13562482

5429862

B.

1.4, 0.14, 1.04, 1.004

B.

13562482

2351687

5429862

C.

9.25, 9.95, 9.59, 9.92

C.

5429862

13562482

2351687

D.

4.6, 4.26, 4.16, 4.06

D.

13562482

5429862

2351687

Which of the following numbers is divisible by 2 but

8.

A.

1764

B.

2160

C.

4926

D.

3328

Find the value of P + Q – R.

9.

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

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

5.

Q P

not divisible by 3?

4.

.

Find the value of P, Q and R.

to the smallest?

3.

+

+

A.

9

B.

8

C.

7

D.

0

6 7

times of perimeter of square.

A.

3 cm

Add 8 tenths to 5 hundreds and 5 hundredths. Subtract

B.

4 cm

the addition of 7 tens and 7 hundredths from the

C.

6 cm

previous prev ious resu lt. What will be the answer answe r ?

D.

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

10.

11.

Select the correct match.

15.

The given gure is formed by identical squares. If area of the gure is 980 cm 2 , then nd the length of PQ.

A.

115.32 × 2 = 23.064

B.

1272.55 ÷ 5 = 254.501

C.

3.15 × 12 = 37.8

D.

54.51 × 51 = 2780.1

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

16.

A.

14 m

B.

28 cm

C.

14 cm

D.

24 m

What fraction of given gure is unshaded, if all the squares are identical?

12.

13.

A.

2

B.

3.5

C.

4

D.

4.5

If 6 identical squares have a total area of 150 cm 2 ,

A.

20/112

then nd the perimeter of a square.

B.

30/64

A.

50 cm

C.

45/64

B.

25 cm

D.

40/56

C.

30 cm

D.

20 cm

17.

and 252.

Find the value of P, Q and R. 12 -h ou r cl oc k

2 4- h ou r cl ock

3 : 45 pm

P

1 2 : 01 am

Q

1 0 : 06 pm

R

P

1 4. 4.

Find the sum of the common prime factors factors of 168 168

Q

18.

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

11

B.

12

C.

13

D.

None of these

How many right angles and straight angles are there in

R

A.

A.

thousand. A.

3192000

B.

3182000

C.

3191000

D.

3181000


1 2

complete turn?

A.

32, 16

B.

8, 7

C.

28, 14

D.

30, 15

Rounded off (3169676 + 21934) to nearest 19.

7

If

3 20

of a number is 15 less than the

1 5

of the same

number, then nd the number. A.

300

B.

250

C.

200

D.

350 3

20.

If 7 th October falls on Monday, then which day of st

the week is 1 December?

21.

22.

A.

Sunday

B.

Saturday

C.

Monday

D.

Tuesday

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

How many eighths are there in 1.75? A.

14

B.

16

C.

18

D.

12

There are 75 people at a party. party. 25 of them are men. th

If

 1   5 

of them are women, then nd the fraction

of children in the party. A. B. C. D.

23.

24.

25.

4

5 7

27.

7 15 8 15 3 14

Identify the number using given clues.

28.

A.

4

B.

2

C.

3

D.

1

Compare and put the sign (< , > or = ) in the box. DCLXXIV + MXLVI LXXIV + CLXXXIX A.

=

B.

<

C.

>

D.

None of these

Trishu has

9

1 4

of pizza. How many quarter pieces

•

It is a three digit even number.

can she cut from it ?

•

It is common multiple of 16 and 64.

A.

37

•

It has a total of 9 factors.

B.

36

C.

9

A.

256

D.

27

B.

128

C.

320

D.

192

29.

In 12,99,897, the place value of the digit ‘2’ is how

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?

many times the place value of digit ‘8’?

A.

1 hour 5 mins

A.

250

B.

2 hours 50 mins

B.

20000

C.

2 hours 10 mins

C.

800

D.

2 hours

D.

2000

99 × 96 = (99 × 100) – ( x × 33)

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

A.

13

A.

12

B.

12

B.

16

C.

63

C.

15

D.

15

D.

10

Find the value of

30. x.


31.

Trishika cut a wire and bent to form 4 similar rectangles. The length of each rectangle is 2 more than the twice

32.

36.

1 2

times as much as a pair of socks.

If the jacket costs `3472, then how much does it cost

is the original length of the wire she had?

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

2 oranges cost `15 and 4 bananas cost `12. Samaksh

37.

did he get back? A.

`240

B.

`150

C.

`380

D.

`442

38.

Ruchi baked a cake and gave 1

2 3

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

If he gave `2000 to shopkeeper, then how much change

A.

5

B.

8

C.

9

D.

None of these

If the length of a rectangular garden is 4th multiple of 16 and breadth is

of it to Priyanka and

3 8

of the length, then nd the

perimeter peri meter and the area of the garden gard en resp ectively. ectiv ely.

of it to her children. What fraction of cake was

A.

176 units, 1536 sq. units

left with her ?

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

8

34.

15

its breadth. If the length of a rectangle is 22 cm, what

bought boug ht 12 dozen doz en of oranges or anges a nd 15 dozen doz en of bananas ban anas..

33.

A jacket costs

39.

The given table shows the number of children that take up different types of sports as their Curriculum Activity.

Find the shaded area of the given gure.

Types of sport

Number of boys

Bad mi nt on

29

Number of girls

45

Bas ke tb all Bowl in g

12 14

35.

22 cm 2

B.

50 cm

2

C.

24 cm

2

D.

None of these

38

22

Table tennis A.

Total

25

38

How many more boys take basketball than table tennis? A.

13

B.

15

If you add 1 to a number and round it off off to the

C.

26

nearest ten, the answer is 1870. If you add 2 to the

D.

18

number and round it off to the nearest ten, the answer is 1880. What is the number?

40.

How many eighths are there in

A.

1873

A.

56

B.

1863

B.

7

C.

1874

C.

64

D.

1864

D.

14


1

1 2

+

2

1 2

+1

1 4

+ 2.75?

5

41.

42.

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.

45.

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

10 L 40 ml

B.

10 L 400 ml

C.

10 L 400 cl

D.

10 L 40 dl

The given gure is made up of 3 squares. squares. If square P and

I cycled 12 km 500 m and then walked 4 km 250 m.

1 4

1 3

of

of square Q are shaded, what fraction

of square R is shaded?

What was the total distance travelled by me?

43.

A.

16

C.

16

3

km

4 3

km

8

B.

16

D.

16

1

km

4 7

km

50

If the day before yesterday was Monday, then the day after tomorrow will be______. A.

Thursday

B.

Saturday

C.

Friday

A.

1/2

B.

1/5

D.

Wednesday

C.

1/4

D.

2/3

ACHIEVERS SECTION

46.

Match the following:

48.

Column I

47.

MCMXLVII – MV

Q.

MCMLVII + CM

(ii) 798

R.

DCLXXVII – XX

(iii) 942

S.

DXCIX + CXCIX

(iv) 657

A.

P

→

B.

P

→

C.

P

→

D.

P

→

(iii); R

(i); S

→

(iii); Q

→

(iii); Q

→

(ii); Q

(i) 2857

→

(iv); R (i); R

→

(iv); R

(ii); S

→

→

(iv); S

→

(iv)

→

(iii); S

→

(i)

(ii)

→

→

(i)

If  + O + O + O + O =  +  +  and O = then  × O = ? A. B.

6

(ii); Q

12

3 4

16

1 4

C.

16

D.

15

option.

Column II

P.

Read the statements carefully and select the correct

2

3 4

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 6 th

multiple of 21. A.

Both statement-1 and statement-2 are true.

8

B.

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

1

C.

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

8

D.

Both statement-1 and statement-2 are false.

1


49.

A square piece of paper is folded as shown. If the area of each shaded part is 72 cm 2, nd the perimeter of the piece of paper when it is unfolded.

A.

98 cm

B.

32 cm

C.

96 cm

D.

56 cm

50.

Read the statements carefully and state ‘T’ for true and ‘F’ for false. 1

1

1

1

7

(i)

(ii)

(iii)

 4 − 3  is less than  3 − 3   5 14   4 20 

(iv)

 3 + 1  is not less than  7 + 1   12 4   7 3 

3

+

3 4

+

4 1 6

+

−

5 3 7

=

12

=

1 3

+

+

10

17 28

(i)

(ii)

(iii)

(iv)

A.

T

T

F

F

B.

F

F

T

T

C.

T

F

T

F

D.

F

T

F

T

SPACE SPACE FOR ROUGH WORK


7

LEVEL - 2

Year 2017-18

MATHEMATICS

1.

There are 50 passengers in a bus. 6 of them are children while the rest are adults. If

7 11

7.

of the adults

it on a dress and bought a pair of heels of How much money did she have left?

are women, then what fraction of the total passengers in the bus are men? A. C. 2.

B.

25 6

D.

25

12 25

8.

The given gure (not drawn to scale) is divided into four parts. Area of rectangle QRST is is 32 sq. cm and area of square UTWV is is 36 sq. cm. Find the total area of rectangles PQTU and TSXW .

U

V

A. B. C. D.

76 72 64 82

sq. sq. sq. sq.

R

Q

W

9.

S

T

` 2445

B.

` 1955

C.

` 1555

D.

` 2045

cm cm cm cm

A.

24

B.

24

C.

24

D.

24

D.

5790000 5800000 5799000 5700000

8

of

945.

km

8 1

km

4

3

km

8 3

km

4

1 4

+

5 6

2

?

1 4

1 +

3 8

1

6 1

+

8

7 12

1 −

12

Arrange the areas of following gures in ascending order.

P.

Q. 1 cm

Round o the sum of 3645279 and 2153467 to the nearest ten thousand. A. B. C. D.

1

Which of the following is greater than

C.

10.

`

3

Sahil travelled 12 km 450 m by train, 8 km 225 m by car and 3 km 450 m by sco ote oter. r. Fin d the tot al distance travelled by Sahil.

B.

8 cm

10 7 12 9

A.

A.

X

Find the sum of the common prime factors of 154 and 224. A. B. C. D.

5.

25

396000 399600 3996000 999000

P

4.

16

What is the dierence between the place value of 4 in the millions place and the place value of 4 in the thousands place ? A. B. C. D.

3.

8

Sneha had two 2000 rupee notes. She spent

2 cm 1 cm

2 cm

R. 4 cm

6.

2

If area of 8 identical squares is 392 sq. cm, then nd the perimeter of each square.

4 cm

A.

35 cm

A.

P, Q, R

B.

21 cm

B.

Q, R, P

C.

28 cm

C.

P, R, Q

D.

32 cm

D.

R, Q, P | IMO | Class-5 | Level 2

11.

Raman had some money. He spent and

12.

2 5

1 5

of it on education

of the remainder on food. He saved the rest.

(a)

What fraction of his money was spent on food?

(b)

If Raman spent ` 2400 on food, then how much did he save? (a)

(b)

A.

1/25

` 2400

B.

8/25

` 3600

C.

8/25

` 2400

D.

1/25

` 3600

` 150

per kg

St a ll Q ` 100

for 600 g

A.

P and R

B.

P and Q

C.

R and Q

D.

None of these

A. B. C.

14.

18.

Identify the minuend and subtrahend in the given subtraction problem.

for 700 g

1

Subtrahend

99,99,999

99,99,999 9,99,999 90,00,000 9,99,999

9,99,999 99,99,999 99,99,999 90,00,000

– 9,99 9,99,999 ,999

19.

Which of the followi following ng stateme statements nts is INCORRE CT ? A. B. C. D.

5 10 2 3

Minuend

A. B. C. D.

8

20.

4

D.

Find the value of (P + Q + R) × S in the following addition problem. 2 P 0 6 8 4 1 5 A. 90 + 3 1 2 Q 4 2 2 6 B. 75 S 0 2 7 2 R 4 1 C. 70 D. 80

` 105

In 7 + ______ + 0.026 = 7.826, what is the missing fraction in the blank?

15958979 15959981 14959981 15959979

17.

St al l R

Which two stalls sell the peanuts at the same price? pric e?

55 and 105 60 and 100 65 and 95 170 and 90

Dierence between the successor successor of 32760019 and predecess pred ecess or of 48720 000 is ________ . A. B. C. D.

The table below shows the cost of peanuts at stall P, P, stall Q and stall R.

Price of peanu ts

Which set of numbers gives a sum of 160 and a product prod uct of 5775 ? A. B. C. D.

16.

S ta ll P

13.

15.

90,00,000

There is only one centre in a circle. Radius is the longest chord of any circle. Half of a circle is called semicircle. A circle can have many diameters.

Count the number of unit cubes in the given solid.

5

Match the following : Column I

Column II

Number

Place value and face value of underlined digit respectively

(a)

3612 361 24081

(i)

20000 and 2

(b)

92 133302

(ii)

200000 and 2

(c)

512100842 51210084 2

(iii) 2 and 2

(d)

122 12 201485

(iv)

2000000 and 2

(a)

(b)

(c)

(d)

A.

(i)

(ii)

(iii)

(iv)

B.

(i)

(iii)

(iv)

(ii)

C.

(i)

(iv)

(iii)

D.

(iv)

(iii)

(ii)

IMO | Class-5 | Level 2 |

A. B. C. D. 21.

21 20 22 23

There are 35 girls and 15 boys in a badminton club. What fraction of the members are boys ?

(ii)

A. B. C.

7/10 3/4 3/10

(i)

D.

13/20 3

22.

In the given gure, ∠ MON is (i) angle, (ii) angle and ∠SOP is (iii) angle.

∠ SOQ

is

27.

Find the perimeter of the whole gure (not drawn to scale). cm

S M

O

Q

P

N

22 cm

L 11 cm

23.

24.

25.

25 cm 47cm

(i)

(ii)

(iii)

A.

Obtuse

Straight

Acute

B.

Straight

Acute

Obtuse

C.

Acute

Acute

Obtuse

D.

Straight

Obtuse

Acute

How many minutes are there in

1 20

14 cm

71 cm

20 cm

2 cm

9 cm 28 cm

25 cm

41 cm

11 cm

of 6 hours?

10 cm

8 cm

A.

20 mins

A.

364 cm

B.

383 cm

B.

30 mins

C.

643 cm

D.

None of these

C.

18 mins

D.

24 mins

28.

A certain number number when divided by 4 gives a remainder remainder of 3. The same number when divided by 3 gives a remainder of 2. Which of the following can be the number?

Priyank lled a pail with 3 L 125 mL of water, a jug with 2 L 50 mL of water and a bottle with 600 mL of water. How many litres of water did Priyank use altogether? A.

5 L 775 mL

B.

3 L 250 mL

A.

55

C.

5 L 50 mL

B.

71

D.

6 L 250 mL

C.

89

D.

103

29.

Neena bought a packet of 120 beads. She used of the beads to sew onto a bag and

1 12

2 3

of it to sew

Teena, Sheena and Veena run on dierent tracks of a rectangularr eld. If the dimensions of the tracks are rectangula given below, then what is the dierence between the length of boundary of track III and track I? (neglecting the width of the track) 2m

onto a top. She then sewed the rest of the beads onto several scarves.

26.

4

(a)

How many beads are used in scarves?

(b)

How many more beads are used to sew a bag than a top ?

3

I

(b)

A.

30

70

B.

40

60

A.

68 m

C.

30

60

B.

40 m

D.

40

70

C.

24 m

D.

16 m

A.

9 hrs

B.

9 hrs 30 mins

C.

12 hrs

D.

12 hrs 30 mins

6m 8m

(a)

When the time in Singapore is 21 : 30, the time in New York is 09 : 30 on the same day. What is the time difference between Singapore and New York?

2

3m

m

m

II

III

30.

In a certain state, fty two lakh sixty one thousand nine hundred eighty nine students were enrolled in various schools. Of these, nineteen lakh sixty ve thousand two hundred thirty three were primary school students, twenty lakh six thousand seven hundred fty six were high school students and the rest attended middle school. What is the number of students enrolled in middle school rounded o to nearest lakh? | IMO | Class-5 | Level 2

31.

A.

2000000

35.

B.

1300000

C. D.

1200000 None of these

 4 − 3  less than  3 3     −    5 14  4 20 

If each letter represents a dierent digit, then nd P, Q, R, S, T in the following multiplication problem. P Q R S T × 5 1 2

2 6 8 5

36.

P

Q

R

S

T

A. B. C.

2 2 2

4 5 6

5 4 4

3 3 3

7 7 7

D.

2

4

5

4

7

32.

Which of the following shows the correct prime factorisation of 108 ? A.

B.

108 54

2

9

C.

D.

9 3

3

33.

3

5, 1, 3, 15, 25

1

1, 75, 150, 225, 300, 375, 450, 525

C.

B.

D.

Find the values of missing decimal numbers P, Q and R. 2 0 .0 7 Q

P

Q

R

A.

20.06

20. 076

20.088

B.

20.06

20.08

20.088

C.

20.06

20.09

20.880

D.

20.06

20. 216

20.778

R

Solve the following :

(I)

(II)

117

18

B.

108

45

C.

108

18

D.

117

45

38.

When is added to 59 hundreds, the answer is 300 tens more than 11 thousands. How many tens is ?

75, 150, 275, 325, 400, 475, 525 75, 150, 225, 300, 375, 450, 525, 600

I am a 3-digit number between 100 and 120 and a multiple of 6. The sum of my digits is 9. What number am I?

A.

39.

A.

180

B.

140

C.

8100

D.

810

Mrs Kapoor bought

2

1 2

kg of wheat at

` 16

per

200 g. How much money would she have to pay?

How many more triangles must be shaded to make AB as the line of symmetry?

40.

A.

`

220

B.

`

160

C.

`

D.

`

200 240

25 kg of sugar is packed into packets of weight 125 g each. How many packets of sugar are there?

A.

2

A.

200

B.

3

B.

100

C.

4

C.

125

D.

5

D.

150


2 0 .0 9

Which of the following sets shows the multiples of 75? A.

34.

3 1

Can’t be determined

(II) Find the dierence between the fourth multiple of 9 and the third multiple of 6.

Both (A) and (C)

27 3

D.

6

54 2

<

(I)

1

108 2

12 2

9

C.

 3 + 1  more than    7 3   7 − 1     12 4 

36 3

3

= >

P

37.

27

A. B.

2 0 .0 5

108 3

2

Compare and fill in the box with ‘<’, ‘>’ or ‘=’.

5

41.

42.

43.

The weight of a packet of salt is 1.2 kg. The weight of a packet of our is 0.3 kg less than the weight of a packet of salt. Find the total weight of 5 such packets packe ts of salt and 3 such packe packets ts of our. A.

8 kg

B.

8.2 kg

C.

8 kg 70 g

D.

8700 g

June 20XX S

M

T

W

T

F

S

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

A.

12 th , Monday

Aman is 1.42 m tall. His brother is 15 cm taller than Aman. Their total height is_______ m.

B.

17 th , Saturday

C.

21 st , Wednesday

A.

2.57

D.

30 th , Friday

B.

1.66

C.

2.99

44.

D.

1.37

If then A. B. C. D.

× × = 2880, nd + + . 53 23 43 63

45.

Form the greatest seven seven digit number using all the digits 9, 4, 6, 3 and 2 atleast once.

Meenal joined three activities i.e. table tennis, dancing and abacus. I.

She went for table tennis class once in every 3 days.

II.

She went for dancing class once in every 4 days.

III.

She went for abacus class once in every 6 days.

A. B. C. D.

The given calendar shows that Meenal did all the activities on 5 th June. On which day will Meenal again do all three activities on the same day?

×

= 240 and 2 = 32,

9999999 9996432 9999996 9643299

ACHIEVERS SECTION

46.

Match the columns.

48.

Column-I

47.

6

Fill in the blanks.

Column-II

•

(i) _ sq. The area of gure P is ___ sq. cm.

MMMDCXIV

•

(ii) _ sq. Area of gure Q is ___ sq. cm.

(a)

MCMXCIX – MDXLIX

(i)

(b)

MMXLV + MDLXIX

(ii) CCCIX

•

(iii) __ sq. Area of gure R is ___ sq. cm.

(c)

MCMLVIII – MCDXCIX

(iii) CDLIX

•

(d)

MDXXXIX – MCCXXX

(iv) CDL

Sum of areas of gure P and gure R together (iv) is ___ sq. cm more than the area of gure Q. __ sq.

(a)

(b)

(c)

(d)

A.

(i)

(ii)

(iii)

(iv)

B.

(ii)

(iii)

(i)

(iv)

C.

(iv)

(i)

(iii)

(ii)

D.

(iv)

(iii)

(ii)

(i)

cm

R 14 cm

6

The fraction

B.

The fraction

2

C.

The fraction

7

D.

The fraction

1

25

25 4 24 1 50

is equal to 2.8. is equal to 7.15. is equal to 1.25.

Q

10 cm

is equal to 0.24.

2

P

8 cm

Which of the following statements is CORRECT? A.

4 cm

28 cm

(i)

(ii)

(iii)

(iv)

A.

392

220

660

47

B.

327

320

66

420

C.

392

220

66

392

D.

392

220

66

238

| IMO | Class-5 | Level 2

49.

Three friends drew Venn diagram for the multiples. Who drew the correct picture? Multiples of 18

50.

Divyank parked his bike from 10 a.m. to 6:50 p.m. on Monday and Sunday. The charges of parking are given below: Time

Multiples of 6

Charges (Weekdays)

Sam Multiples of 3

Multiples of 18 Multiples of 12 Trishi Multiples of 4

Multiples of 24 Multiples of 12 Sanchi

Charges (Saturday/Sunday/ Public holidays)

6 a.m. to 11 a.m.

` 250

per hour

` 120

per hour

11 a.m. to 5 p.m.

` 350

per hour

` 180

per hour

5 p.m. onwards

` 10 every 1/2 hour

or part thereof

` 10

per half hour or part thereof

(a)

How much did Divyank have to pay in total for the parking charges on Monday?

(b)

How much cheaper did he pay for the parking charges on Sunday than on Monday?

Multiples of 8

(a)

(b)

A.

Sam

A.

`

1240

`

2390

B.

Trishi

B.

`

2390

`

1240

C.

Sanchi

C.

`

2390

`

1150

D.

None of these

D.

`

1150

`

2390

SPACE SPA CE FOR ROUGH WORK


7

ANSWER KEYS IMO 2013 1. 8. 15. 22. 29. 36. 43. 50.

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

2. 9. 16. 23. 30. 37. 44.

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

3. 10. 17. 24. 31. 38. 45.

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

4. 11. 18. 25. 32. 39. 39. 46.

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

5. 12. 19. 26. 26. 33. 33. 40. 40. 47.

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

6. 13. 20. 20. 27. 34. 34. 41. 48.

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

7. 14. 21. 28. 35. 42. 49.

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

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

6. 13. 20. 20. 27. 27. 34. 34. 41. 48. 48.

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

7. 14. 21. 28. 35. 42. 49.

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

IMO 2014 1. 8. 15. 22. 29. 36. 43. 50.

(D) (C) (C) (D) (D) (C) (C) (D)

2. 9. 16. 23. 30. 37. 44.

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

3. 10. 17. 24. 31. 38. 45.

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

4. 11. 18. 25. 32. 39. 46. 46.

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

5. 12. 19. 19. 26. 33. 40. 47.

2015 IMO-Level 2 was an online exam. Hence, paper cannot be included in the booklet.

IMO 2016 1. 2. 3. 4. 5. 6. 7. 8.

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

9. 10. 11. 12. 13. 14. 15. 16.

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

17. 18. 19. 20. 21. 22. 23. 24.

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

25. 26. 27. 28. 29. 30. 31. 32.

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

33. 34. 35. 36. 37. 38. 38. 39. 40.

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

41. 42. 43. 44. 45. 46. 46. 47. 48.

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

49. 50.

(D) (C)

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

6. 13. 20. 27. 34. 41. 48.

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

7. 14. 21. 28. 35. 42. 49.

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

IMO 2017 1. 8. 15. 22. 29. 36. 43. 50.

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

2. 9. 16. 23. 30. 37. 44.

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

3. 10. 17. 24. 31. 38. 45.

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

4. 11. 18. 25. 32. 39. 46.

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

5. 12. 19. 26. 33. 40. 47.

IMO 2018 1. 2. 3. 4. 5. 6. 7. 8.

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

9. 10. 11. 12. 13. 14. 15. 16.

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

17. 18. 19. 20. 21. 22. 23. 24.

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

25. 26. 27. 28. 29. 30. 31. 32.

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

33. 34. 35. 36. 37. 38. 39. 40.

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

41. 42. 43. 44. 45. 46. 47. 48.

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

49. 50.

(A) (C)

Class 5 IMO 5 Years e Book Level 2 2018

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