Class 6 Imo 5 Years e Book l2 2017

Level 2

SOLVED PAPERS 5 Years (2012-2014, 2016-2017)

6

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 dependent on its execution and, it is based on previous years' papers of IMO exam.

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

Visit

www.mtg.in for buying books online.

Do you want yourself to be updated about

Subscribe to our

You You Tube Channel https: htt ps://w //www ww.fa .facebo cebook. ok.com/ com/pcm pcmbto btoday day

https: htt ps://w //www ww.you .youtub tube.c e.com/M om/MTG TG BOO BOOKS KS

MTG WORKBOOKS WORKBOOK S/ 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


CLASS 2


Reasoning

Learning Science

Anubhuti






Learning Computers

Learning English


Learning & Knowing


Learning Grammar

Treasure



CLASS 3


Reasoning

Learning Science

Anubhuti







Learning Computers

Learning English


Learning & Knowing


Learning Grammar

Treasure


CLASS 4


Reasoning

Learning Science

Anubhuti







Learning Computers

Learning English


Learning & Knowing


Learning Grammar

Treasure


CLASS 5


Reasoning

Learning Science

Anubhuti







Learning Computers

Learning English


Learning & Knowing


Learning Grammar

Treasure


CLASS 6






Reasoning



Learning Computers


Learning & Knowing

Anubhuti


CLASS 7






Reasoning



Math IQ Challenge

Science IQ Challenge

Master Mental Ability in 30 Days

Learning Computers


Learning & Knowing

Anubhuti


CLASS 8






Reasoning



Math IQ Challenge



Learning Computers


Learning & Knowing

Anubhuti


CLASS 9






Reasoning

Math IQ Challenge



Psychology of Success

MAT for NTS E

NTSE Explorer


CLASS 10






Reasoning

Math IQ Challenge




MAT for NTS E

NTSE Explorer


CLASS 11




Math IQ Challenge




NEET Success Blueprint


CLASS 12




Math IQ Challenge




NEET Success Blueprint

Error-free

Eassy La Ea Lang ngu uag age e

Auth Au then enti tic Scolutions

Fully Sove l d by Exp Expe rts rt es

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

IMPORTANT INSTRUCTIONS Exam Date : 1 : 11 1th February 2018. 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 2017-18 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 6

Contents Â

5th IMO - Level-2 (2012)

Â


Â


Â

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

Â


Â


5th

LEVEL - 2 Year 2011-12

| 5th IMO | Level-II | Class 6

2

SECTION I : LOGICAL REASONING 1.

In the given arrangement some symbols are there each of which is preceded by a digit and some digits are there each of which is preceded by a symbol. What is total number of both these ? 9 V @ S 2 G R A (A) 3

2.

3 Q £ B Z 7 C Y

(B) 1

4 * P F 6 @ $ 5 E H B J

(C) 2

d

(D) None of these

If city is called village, village, village is called forest, forest forest is called called sofa, sofa is called freeze freeze and freeze is called bathroom, then where do deer live ? (A) Village (B) Sofa

3.

D T

(C) Freeze

(D) Forest

A square transparent sheet with a pattern is given. Find out from amongst the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.

(A)

4.

5.

D A

(B)

A

D

(D)

Find the wrong term in the given series : 2, 3, 8, 28, 112, 112, 565 (A) 3 (B) 28 (C) 8

D

A

(D) 112

With the help of given diagram, nd how many persons take tea and wine but not coffee.

(A) 20 6.

(C)

(B) 17

(C) 25

(D) 15

Introducing Suchi, Naman says, ‘‘She is the wife of only nephew of only brother of my mother.’’ mother.’’ How is Suchi related to Naman ? (A) Wife (B) Sister

(C) Sister-in-law

(D) Son-in-law

7.

Find the missing number in the adjoining table. (A) 94 (B) 76 (C) 16 (D) 73

8.

Choose the correct mirror-image of g. (X), if the mirror is placed along

(A)



(B)

(C)



(D) 

3

MR .



5th IMO | Level-II | Class 6 |


3 9.

Three out of these gures are similar in a certain way. way. Find the gure which is different from the

rest. (A)

(B)

(C)

(D)

10. How many pairs of letters are there in the word PURPOSEFUL which have as many letters between them in the word as in the English alphabet ? (A) One (B) Two

(C) Three

(D) Four

11. The length and breadth of a room are 8 m and 6 m respectively. A cat runs along side all the four walls and nally along a diagonal in order to catch a rat. How much total distance is covered by the

cat ? (A) 10 m

(B) 14 m

(C) 38 m

(D) 48 m

12. At a party P, P, Q, R, S and T are sitting in a circle. The group comprises an ofcer, ofcer, an industrialist

and a businessman. The businessman is sitting in between the industrialist and his wife S. P is an ofcer married to T who is the sister of Q. The industrialist is seated to the right of R. Both

the ladies are unemployed. Who among them is a graduate ? (A) P (B) Q (C) R

(D) Data inadequate

13. Find the gure from the options which will continue the series established by the problem gures.

(A)

(B)

(C)

(D)

14. Six friends P, P, Q, R, S, T and U are sitting around a hexagonal t able each at one corner. P is second to the left of U. Q is the neighbour of R and S. T is second to the left of S. Who among the following are the neighbours of P ? (A) U and P

(B) T and R

(C) U and R

(D) None of these

15. Select a gure from amongst the options, which when placed in the blank space would complete

the pattern in Fig. (x).

(A)

(B)

(C)

(D)

16. In a row of students Rakesh is 12 th from the left and Kartik is 17 th from the right. When they interchange their positions Kartik becomes 27 th from the right. How many students are there between Kartik and Rakesh? (A) 9


(B) 12

(C) 7

4

(D) 10


4

17. In the following sequence how many 8’s are there each of which is preceded by an odd number, number, but not followed by an even number ? 7 8 2 8 9 3 8 5 2 3 8 4 7 8 1 9 8 8 5 (B) 2 (C) 5 (D) 1

(A) 3

18. In the given sequence, sequence, how many unshaded unshaded circles will there be in pattern 99?

Patt ern 1

(A) 98

Patt ern 2

Pat tern 3

(B) 100

Patt ern 4

(C) 96

(D) 95

19. If ‘–’ stands for division, ‘+’ stands for multiplica multiplication, tion, ‘÷’ stands for subtraction and ‘ ×’ for addition, then which one of the following equations is correct ? (A) 6 ÷ 20 × 12 + 7 – 1 = 70 (B) 6 + 20 – 12 ÷ 7 + 1 = 62 (C) 6 – 20 ÷ 12 × 7 + 1 = 57 (D) 6 + 20 – 12 ÷ 7 – 1 = 38 20. The given question consists consists of two sets of gures. Figures (i), (ii), (iii) and (iv) constitute the problem set. There is a denite relationship between gures (i) and (ii). Establish a similar relationship between gures (iii) and (iv) by selecting a suitable gure from the options that would replace (?) in gure (iv).  S

(i) T

(A)

T

 T

C

S

C

T S

(ii)

(iii)

C

? (iv)

T

(B) S

C

T

T

(C) S

(D) S

S

SECTION II : MATHEMATICAL REASONING 21. Find the average of all the odd numbers from 1 to 16. (A) 4 (B) 9 (C) 8

(D) 17

22. What is the missing missing number that shall go in the box? 600.051 = 600 + (A) 0.005

(B) 0.05

+ 0.001 (C) 0.5

(D) 5

23. Which one of the following statements is true? (A) If a number is divisible by 3, it must be divisible by 9. (B) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately. (C) A number is divisible by 18, if it is divisible by both 3 and 6. (D) None of these 24. Find the value value of 50 – (– 48) – (– 2) – 110 110 + (– 80) – (– 100) (A) 10 (B) – 10 (C) 100

5

(D) – 100



5

DIRECTION (Q.No. 25-27) : Study the following graph carefully and answer the questions that follow. Three different products (in thousands) produced by a company in ve different years

25. What was the total number of all the products produced by the company in the year 2006 and 2008 together ? (A) 10750

(B) 107.5 lacs

(C) 105700

(D) None of these

26. What is the difference betwee n the total number of Pen Drives and CDs produced by the company in the year 2008 and the number of Key Boards produced by the company in the year 2006 ? (A) 40000 (B) 4000 (C) 35000 (D) 3500 27. What was the ratio of the number of CDs produced by by the company in the year 2009 to the number of Key Boards produced by the company in the year 2005 ? (A) 9 : 10 (B) 11 : 10 (C) 10 : 9

(D) 10 : 11

28. How many unit cubes must be transferred from the solid on the left to the solid on the right so that both of them have the same number of unit cubes ?

(A) 5

(B) 3

(C) 4

(D) 2

29. What is the minimum number of shaded squares that must be added so that the line AB becomes a line of symmetry ?

(A) 1


(B) 2

(C) 3

6

(D) 4


6

30. Find the area of the shaded part of the given gure (not drawn to scale).

(A)

(B) 320 cm2

182 cm2

(C) 128 cm2

(D) 192 cm2

31. What fraction of the gure is shaded ?

(A)

4

(B)

12

5

(C)

12

32. Find the value of 6435 6435.9 .9 + 7546.4 + 1203.5. 1203.5. (A) 15188.5 (B) 15155.5

7

(D)

12

(C) 15185.8

9 12

(D) 15815.8

33. Select the INCORRECT INCORRECT match. Column I

Column II

(A) Points are collinear

if they lie on same line.

(B) Diameter is a chord

passing through centre of the circle.

(C) Parallel lines

are lines which do not meet.

(D) Simple curve

is a curve which crosses itself.

34. If the diagonals of a quadrilateral quadrilateral bisect each other at right angles, then the quadrilateral quadrilateral is a ____ . ____. (A) Parallelogram

(B) Trapezium

35. If 5 : 4 : : 30 : x , then the value of (A) 24 (B) 12

x is

(C) Rhombus

(D) Rectangle

(C) 3/2

(D) 6

____.

36. If the cost of of 25 packets with 12 pencils in each packet is 8 pencils in each packet is _____. (A) ` 600 (B) ` 720

(C)

` 750,

then the cost with 30 packets of

(D)

` 640

` 620

37. The gure is a solid cuboid. How many rectangular faces does it have ?

(A) 6 38. If (A)

=

(B) 8 1 2 +

and

=

1 4

(C) 3

(D) 4

, then which one of the following has the greatest value? (B)

(C)



7

×

(D)

–



7

39. If the length of each side of a unit square is 2 cm, nd the perimeter of the given gure.

(A) 200 cm 40. The value of

(B) 124 cm

(D) 50 cm

2 1 1 is _______. + + 5 4 2 3

4

(A)

(C) 100 cm

(B)

11

(C)

20

1

3

(D)

20

7

2

20

SECTION III : EVERYDAY MATHEMATICS 41. Rahul had 68 marbles more than Rohit. After Rohit bought another 23 marbles, Rohit had many marbles as Rahul had. How many marbles did Rahul have ? (A) 36 (B) 72 (C) 81

3 as 8

(D) 144

42. The ratio of Mohit’s age to Gaurav’s age is 6 : 5 now. If Mohit is 9 years older than Gaurav, Gaurav is _____ years old. (A) 45

(B) 54

(C) 63

(D) 72

43. A machine makes 24 paper cups in 2 minutes. At this rate, how many paper cups will it make in

540 seconds ? (A) 108

(B) 216

44. 2 chairs and and 1 table cost cost chairs ? (A) ` 60000

(B)

`

(C) 432

54000. If 1 chair and 1 table cost (C)

` 92000

` 80000

(D) 864 `

38000, what is the cost of 5 (D)

` 20000

45. The difference between between the length and breadth breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is _____. (A) 1520 m2

(B) 2420 m2

(C) 2480 m2

(D) 2520 m2

46. Tanuj walked 8.96 km on Tuesday, Tuesday, 7.50 km on Wednesday and some distance on Thursday. If he walked 21010 metres in three days, how much distance did he walk on Thursday?

(A) 5.45 km

(B) 4.55 km

(C) 5.54 km

(D) 5.55 km

47. Ayush had a square cardboard of edge 40 cm. The cardboard was cut into 4 equal triangles. Find the area of each triangle. (A) 10 cm2 48. Ashu slept for 5 (A) 7 hr 6 mins

(B) 400 cm2

(C) 80 cm2

1

(D) 800 cm2

3 hr. Pooja slept 1 hr more than Ashu. How long did Pooja sleep ? 2 5 (B) 7 hr 12 mins (C) 7 hr 10 mins (D) 7 hr 24 mins


8


8

49. Ria bought 11 11 dresses and 12 shirts altogether. Each dress costs

`

250 and each shirt costs

` 100

less than the dress. How much did Ria spend ? (A) ` 5540 (B) ` 5405 (C) ` 4550

(D)

` 5450

50. The charges for parking a car are shown below : For the first hour

` 50

For every additional hour or or part thereafter r

` 25.50

Mr. Samrat parked his car from 9:00 a.m. to 2:30 p.m. How much did he pay? (A) ` 165 (B) ` 175.5 (C) ` 187.5 (D) SPACE SPACE FOR ROUGH WORK

` 177.5

6th



2

SECTION-I : LOGICAL REASONING 1.

If every third letter from the English alphabets is dropped, which letter will be fourth to the right of fourteenth letter from your right? (A) M

2.

(B) N

(C) E

(D) A

Select which of the following options will be the mirror image of the given word, if the mirror is placed vertically to the left. G a y A T R I s u t r A

3.

(A)

(B)

(C)

(D)

Choose the odd-one out. (A) 49

4.

5.

(B) 85

(C) 36

(D) 81

How will you code ACCOMMODATE if S and V are coded as 8 and 5 respectively? (A) 26-24-24-12-14-14-12-23-22-26-7

(B) 26-24-24-12-14-14-12-23-26-7-22

(C) 2-25-25-12-7-14-14-23-26-22-12

(D) 26-24-12-14-7-14-23-21-26-22-8

Find out the wrong term in the given series. 196, 169, 144, 121, 80 (A) 80

6.

(B) 121

(C) 169

(D) 196

Slct  gur frm t ptis tt frms  crrct wtr img f t gi gur.

C C C

C C C

(A)

C C C

(B)

(C)

(D)

C C C

C C C

7.

Two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers is to be answered. The operations of numbers progress from left to right. Rules : (i)

If a two-digit odd number is followed by a two-digit odd number they are to be added.

(ii)

If a two-digit even number is followed by a two-digit odd number which is a perfect square, the digit number is to be subtracted from the odd number.

(iii) If  tr-igit umbr is fllw by  tw-igit umbr t rst umbr is t b ii by the second number. (iv) If a prime number is followed by an even number the two are to be added. (v)

If an even number is followed by another even number the two are to be multiplied. 16 8 32 132 11 X 2

If X is t rsultt f t rst rw, wt is t rsultt f t sc rw? (A) 192

(B) 128

(C) 132

3

(D) 144



3 8.

Slct  gur frm t ptis wic will frm  sris stblis by t Prblm gurs. Prblm Figurs

?

(A)

9.

(B)

(C)

(D)

I t gi gur, if t ctrs f ll t circls r ji by riztl  rticl lis, t  t ttl umbr f squrs tt c b frm. (A) 6 (B) 7 (C) 8

(D) 10

10. If 'A + B' means A is the father of B, 'A – B' means A is the brother of B, 'A

÷

B' means A is the

wife B and 'A × B' means A is the mother of B, then which of the following represents M is the maternal grandmother of T? (A) M × N ÷ S + T (B) M × N – S ÷ T

(C) M × S – N

÷

T

(D) M × N × S ÷ T

11. Slct  gur frm t ptis wic iicts t crrct rltisip rltisip btw t tr gi words. "Trigl, Fur-si gur, Squr"

(A)

(B)

(C)

(D)

12. Slct  gur frm t ptis wic ctis ctis Fig. (X) s its prt.

Fig. (X) (A)

(B)

(C)

(D)

13. Five friends A, B, C, D and E are standing in a row facing north but but not necessarily in the same order. Only B is between A and E, C is immediate right to E, and D is immediate left to A. On the bsis f b ifrmti, wic f t fllwig sttmts is itly tru? E. (A) B is to the right of E. (B) A is second to the left of C. (C) D is third to the left of E. (D) B is to the left of A. 14. Grup t gi gurs it tr clsss usig c gur ly c. (A) 1, 2, 3; 4, 5, 6; 7, 8, 9

1

2

3

4

5

6

7

8

9

(B) 1, 3, 5; 2, 4, 6; 7, 8, 9 (C) 1, 5, 9; 3, 6, 2; 4, 7, 8 (D) 1, 9, 7; 2, 8, 5; 3, 4, 6


4


4

15. In the given question, means ÷

means means

≠

≥ ≤

=

means <

+

means >

×

means =

If a + b and b + c then_____. (A) c ÷ a (B) a = c

(C) a

c

= a (D) c =

16. A square transparent sheet sheet with a pattern is given. Find from amongst the options as to how the pattern would appear when the transparent sheet is folded along the dotted line. Transparent Sheet

(A)

(B)

(C)

(D)

17. A man is facing west. He turns 45° in the clockwise direction and then another 180° in the same direction and then 270° in the anticlockwise direction. Which direction is he facing now? (A) South (B) North-West (C) West (D) South-West 18. Csir t gurs X, Y  Z swig  st f ppr fl   puc  t st f ppr. Slct  gur frm t ptis wic will mst clsly rsmbl t pttr ufl psiti f gur.

X

(A)

Y

(B)

Z

(C)

(D) None of these

19. Slct  gur frm t ptis wic stiss t sm citis f plcmt f t ts s in Fig. (X).

Fig. (X)

(A)

(B)

(C)

5

(D)



5

20. Two positions of a dice is given below. Look at them carefully assuming assuming the pictures to be correct and answer the question. #1

#2

Wic gur is  t fc iict by t rrw #1? (A) (B) (C)

(D)

SECTION-II : MATHEMATICAL REASONING 21. Find the largest 5-digit number which is completely divisible by 89. (A) 99947 (B) 99999 (C) 99936

(D) 99942

22. The minimum number of factors factors of a given number is _____ and a multiple of a given number is divisible by the _____. (A) 1, given number (C) 2, multiples of given number

(B) 2, given number (D) 1, multiples of given number

23. The length, breadth and height of a room are 9 m 10 cm, 7 m 80 cm and 3 m 90 cm respectively. respectively. Find the greatest length of a tape which can be used to measure the dimensions of the room in exact number of times. (A) 1m 16 cm (B) 1m 30 cm

(C) 1m 90 cm

(D) 1m 60 cm

24. The value of 63 .7– 28 .89 + 76.4 – 37.66 is _____. (A) 73.50 (B) 73.52

(C) 73.55

(D) 73.58

25. The descending order of XX, XXXVI, V is _____. (A) V, XXXVI, XX (B) XX, V, XXXVI

(C) V, XX, XXXVI

(D) XXXVI, XX, V

26. What least number should be added to 1410 to get a number exactly divisible by 43 ? (A) 9 (B) 1 (C) 3 (D) 7 P

27. If l l || ||m m and PQ is a transversal, then which of the following is false? (A)

= ∠g ∠b =

(B)

∠a = ∠h

(C)

∠a = ∠g

(D)

+ ∠h = = ∠f +

a b c d e g

180°

f h

I

m

Q

28. The given solid is made up of identical blocks. How many such blocks are required to make the given solid?

(A) 14

(B) 20

(C) 17

29. The value of –297 – (– (–7) 7) – 428 – (–18) + (–62) is _______. (A) –2152 (B) –228 (C) –258


6

(D) 15

(D) –762


6

30. If primtr f t gi gur is 68.3 cm, t t sum f x + y is ____.

(A) 8.6 cm

(B) 8.1 cm

(C) 8.4 cm

(D) 9.8 cm

31. The given picture is shaded to represent a fractional number. number.

How many of the stars in the group below must be shaded to represent a fraction with with the same value of above unshaded fractional number ?

(A) 5

(B) 6

(C) 8

(D) 10

DIRECTION (32 - 33) : Read the following graph and answer the questions below. 50 45

) s 40 d n35 a s u30 o h25 t 20 n I ( 15 e l a10 S

5

N A J

B R E A F M

R P A

Y E A N M U J

Y L U J

G P U E A S

T C O

V C O E N D

MONTHS

32. Which month has maximum sale? (A) April (B) July

(C) August

(D) Data inadequate

33. If the total sale is 325000 then total sales in March and November is ______. (A) 40000

(B) 50000

(C) 45000

(D) 55000

(C) 2

(D)

34. Fi t lu f (P + Q) × (R + S).

(A) 1

(B)

3

2 9

7

1

2 9



7

35. When Garima multiplies a certain number by 19 and adds 9 to the product, she gets 313. Find the number. (A) 13

(B) 14

36. In a D ABC , if 3∠ A = 4

∠B

(A) 70°

(C) 15

= 6∠C , then

∠ A

+

∠B

(B) 40°

(D) 16

– 3∠C = (C) 20°

(D) 60°

37. T r f t us rgi i t gur is ______. 16 m 7m

7m

16 m 7m

(A) 207 m2 38. If

7m

(B) 158 m2

km : 10 km = 9000 paise :

(A) 500

(C) 256 m2 ` 3,

(D) 196 m2

then box contains_____.

(B) 600

(C) 900

(D) 300

39. The sum of four girls is 57 years and their ages are in the proportion 3 : 4 : 5 : 7. The difference between the age of eldest and youngest girl is _____. (A) 8 years 40. In

D AB C ,

(B) 10 years

AB A B = AC and AD

^

BC ,, B E BC

(C) 12 years ^

AC and C F

^

AB . Then,

(D) 15 years D AB C

is symmetrical

about ______. (A) AD

(B) BE

(C) CF

(D) None of these

SeCTIon-III : eveRYdaY MaTheMaTICS 41. The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is (A) 91

(B) 910

(C) 1001

(D) 1911

42. T pric f cmmity X icrss by 40 pis ry yr, wil t pric f cmmity Y increases by 15 paise every year. If in 2001, the price of commodity X was was

`

` 4.20

 tt f Y

6.30, i wic yr cmmity X will cst 40 pis mr t t cmmity Y?

(A) 2010

(B) 2011

(C) 2012

(D) 2013

43. Water boils at 212°F or 100°C and melts at 32°F or 0°C. If the temperature of a particular day is 35°C, it is equivalent to_____. (A) 85°F

(B) 90°F

(C) 95°F

(D) 99°F

44. The mean of 50 observations observations was 36. It was found later that that an observation 48 was wrongly taken as 23. The corrected new mean is _____. (A) 35.2

(B) 36.1

(C) 36.5

(D) 39.1

45. The total ages of A and B is 12 years more than the total ages of B and C. C is how many years younger than A? (A) 12 years


(B) 24

(C) C is elder than A

8

(D) Data inadequate


8

46. The boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls are adults, the percentage of students who are not adults is _____. (A) 58%

(B) 67.5%

(C) 78%

(D) 82.5%

47. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what what pric pr z sul  sll tm t mk  prt f 20%? (A)

` 4

(B)

` 5

(C)

`

6

(D)

` 7

48. In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is _____. (A) 20 litres

(B) 30 litres

(C) 40 litres

(D) 60 litres

49. A towel, when bleached, was found to have lost 20% of its length and 10% 10% of its breadth. The percentage of decrease in area is _____. (A) 10%

(B) 10.08%

(C) 20%

(D) 28%

50. A A,, B and C start at the same time in the same direction to run around a circular stadium. A completes A completes a round in 15 seconds, B in 30 seconds and C in in 18 seconds, all starting at the same point. After what time will they meet again at the starting point? (A) 26 minutes (B) 140 seconds (C) 90 minutes SPaCe FoR RoUGh WoRK

(D) 1 minute 30 seconds

7th


7th IMO | Class-6 | Level 2

2 LOGICAL REASONING LOGICAL REASONING

1.

The given question consists of ve gures marked 1, 2, 3, 4 and 5 called the Problem Figures. Select a gure from amongst the options which will continue the same series as established by the ve Problem Figures.

A.

Fig. (X) B.

C.

A.

B.

D.

4.

Group the given gures into three classes using each gure only once.

C.

D.

2.

There are certain common characteristics between the two Problem Figures. Select a gure from amongst the options which shows similar characteristics as shown by the Problem Figures.

5. A.

A.

1,4,7; 3,6,9; 2,5,8

B.

1,6,9; 2,4,7; 3,5,8

C.

1,4,7; 2,6,9; 3,5,8

D.

1,5,7; 2,6,9; 3,4,8

From his house, Mohit went 15 kms to the North. Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house? A. B. C. D.

B.

East West North South

C.

6.

D.

3.

Select the gure from the options in which the given Fig. (X) is exactly embedded as one of its part.


Pointing to a woman in a photograph a man says, "She is the only daughter of my wife's mother-inlaw". How is the woman related to the man? A. B. C. D.

Daughter Wife Sister Mother-in-law

3

3


7.

Which of the following Venn diagram correctly depicts the relationship amongst "Boys, Athletes, Dancers"?

C. D. 12.

A.

B.

D.

8.

Find the missing character in the question given belo w.

A. B. C. D. 9.

11

25

8

6

16

12

5

?

M%R4AT#J@7D5  I F N I E $ 3 6 W U 2 H 8* K 9 B Q Which of the following is the eighth to the left of the seventeenth from the left end of the above arrangement?

14.

851

719

643

8 3 5 1

50 40 48 Data inadequate

11. The positions of the first and the ninth letters in the word PRESBYTERIANISMS are interchanged. Similarly, the positions of the second and the tenth letters are interchanged, and so on. Which of the following will be the sixth letter from the right end after rearrangement? A. B.

A B

@ U 8 T

Starting from a point P , Sachin walked 20 metres towards South. He turned left and walked 30 metres. He then turned left and walked 20 metres. He again turned left and walked 40 metres and reached a point Q. How far and in which direction is the point Q from the point P ? A. B. C. D.

287

In a class of students, students, Aarush rank is 23 rd from top in Mathematics, whereas his rank is 27 th from below in Physics. How many students are there in the class? A. B. C. D.

4

Study the following arrangement carefully and answer the question given below.

A. B. C. D.

18 16 12 10

432

10.

6

da ja na None of these

13.

Which of the following will be the middle digit of the second highest number among the following five numbers if the positions of the first and the third digits in each number are interchanged? A. B. C. D.

In a certain code language pik ' pik da pa' means ' where are you '; ' da na ja ' means you ' you may com comee '; and ' na ka sa ' means 'he may go '. Which of the following means come in that code language? A. B. C. D.

C.

I E

20 10 10 10

metres metres metres metres

West East West North

15. A, B, C, D, E, F, G and H are sitting around a circle facing at the centre, C is third to the left of A and second to the right of E , B is second to the right of C . D is second to the right of F who is second to A.. G is not an immediate neighbour of the right of A C . Who is to the immediate right of C ? A. B. C. D.

16.

H G D Data inadequate

Find the least number of unit cubes cubes to be added to the solid to form complete a cuboid. A.

21

B.

20

C.

22

D.

18



4

17.

There is a denite relationship between gures (i) and (ii). Establish a similar relationship between gures (iii) and (iv) by selecting a suitable gure from the options that will replace the question mark (?) in g. (iii).

19.

Select a gure from amongst the options, which when place d in the t he blank bla nk space sp ace of Fig. (X) would w ould compl complete ete the pattern.

A.

A.

B.

B.

C.

C.

D. D.

20. 18.

Count the the number number of squares in the given gure. gure.

Which of the following options most closely resembles the mirror image of the given word if mirror is placed vertically left? S U P E R V I S O R A.

A. B. C. D.

B. C. D.

8 12 15 18

MATHEMATICAL REASONING

21.

The given given gure gure is made up up of two identical identical rectangles rectangles.. Find the area of the shaded part.

A. B. C. D.

8 cm2 40 cm2 12 cm2 20 cm2


22.

Find the weight of a cone in terms of w.

A. B. C. D.

w kg 2 w kg 3 w kg 4 w kg

5

5


23.

The length of pencil B is exactly half way between the lengths of pencil A and pencil C. What is the length of pencil B? (Give your answer as a mixed number in the simplest form.)

A. B. C. D.

24.

2 19 cm 7 9 9 cm 14 4 9 cm 7 3 9 cm 7

28.

(i)

The subtraction of an integer is the same as the addition of its additive inverse. (ii) One more than the given number gives the (ii) predecessor.. predecessor (iii) When two negative numbers are added, we get a negative number. A. Only (i) B. Both (i) and (iii) C. Both (ii) and (iii) D. Only (iii) A to his 29. The ratio of Mohit’s Mohit’s savings in account A 2 savings in account B was 8 : 7. He spent of his 5 total savings. He then transferred some money from one account to another so that both accounts had 765 each. How much money did he have at rst? ` 765 A. B. C. D.

Find the value of (–17.5) + 152.82 ÷ 9 + 19.8 – (– 0.7) × 8.06 A. B. C. D.

24.90 22.612 24.854 24.922

30.

DIRECTION (25-26): The bar graph shows the number of students in 4 sections of a class.

25.

66 56 68 58

Fill in the blank: One A. B. C. D.

6

33 34 35 36

` ` `

2500 2550 1460

Which of the following solids has the greatest number of faces?

A.

B.

C.

D.

31.

Amit and Priya had an equal amount of money. After Priya bought a dress that cost ` 79.90 79.90 and Amit bought a watch that cost ` 193.40, 193.40, Priya had 3 times as much money as Amit. How much money did Priya have at rst? 56.75 A. ` 56.75 B. ` 113.50 C. ` 170.25 D. ` 250.15

32.

Find the smallest number of shaded squares to be added so that the gure has a line of symmetry.

How many boys are there in the 4 section s altogether? A. B. C. D.

27.

2450 ` 2450

How many students are there in class 6B? A. B. C. D.

26.. 26

Which of the following statements are true?

full turn of the hand is _______. 3 right angles 1 revolution 1 right angle 1 straight angle

A. B. C. D.

1 2 3 4



6

33.

The given gure is made up of small squares. The length of one side of a small square is 2 cm. Find the area of the shaded region of the gure. A.

174 cm

B.

176 cm2

C.

177 cm

2

178 cm

2

D. 34.

2

35.

A. B.

141 140

C. D.

142 144

Find the value of CLXXXVII – CX – LXXIV LXXIV.. A. B. C. D.

Find the least least number, number, which when divided by 36, 24 and 48, leaves remainders 33, 21 and 45, respectively.

IV III C XI

EVERYDAY MATHEMATICS

3 6.

M a r y , C h a r u a n d J o h n h a v e ` 2 5 0 0 0 . 7 5 , ` 18000.79 and ` 8000.45, respectively in their perso nal bank accou accounts. nts. How much mone money y do they have altogether? A. B. C. D.

41.

A. B. C. D.

51002.00 ` 51002.00 51001.88 ` 51001.88 51002.08 ` 51002.08

The ratio of the marks scored by a student in English, Mathematics and Science is 1 : 2 : 1 . If the total marks of three subjects is 800, then nd the marks in each subject respectively. A. B. C. D.

38.

39.

200, 600, 280, 400,

43.

14 16 18 19

30 40 50 60

sq. sq. sq. sq.

m m m m

Latika had 240 beads. She gave her friend and

3 4

1 6

of the beads to

of the remainder to her sister. How

many beads did her sister receive? A. C.

` ` `

4m (3 + 4m) (5 + 4m) (4m + 1)

40 150


B. D.

50 200

Trees were planted at equal distances along a straight road. The distance between the rst and the fth tree is 40 m. Find the distance between the second and the ninth tree. A. B. C. D.

100 300 140 200

Five square square ower ower beds each with sides sides 2 m are dugout from a piece of land, 10 m long and 5 m wide. What is the area of the remaining part of the land? A. B. C. D.

40.

100, 300, 140, 200,

Vipul earns ` 15000 15000 in 3 months. In how many months will he earn ` 95000? A. B. C. D.

`

51001.99 ` 51001.99 42.

37.

A story book costs ` m and a bag costs ` 5 more than a storybook. Find the cost of 1 bag and 3 storybooks in terms of m in the simplest form.

m m m m

Three children walk together while going to school. Their steps measure 85 cm, 90 cm and 80 cm, respectively. At what distance from the starting point will they again start walking together? A. B. C. D.

44.

30 50 80 70

13698 cm 12040 cm 12240 cm 10 cm

Ashmit buys 638 chairs and 132 tables for his ofce. If a chair costs ` 1540 1540 and a table costs ` 2465, 2465, nd the total money spent by him. A. B. C. D.

` ` ` `

1037900 1307900 1307090 1307009

45. The temperature at a place rises from –20 °C to 20 °C. What is the rise in temperature? A. B. C. D.

20°C 40°C – 40° 40°C C 80°C

7

7

7th IMO | Class-6 | Level 2 ACHIEVERS SECTION

46.

Which of the following is the INCORRECT step for constructing a perpendicular to a line through a point not on it? Step 1 : Given a line l and and a point M not not on it. Step 2 : With M as as centre, draw an arc which intersects line l at at two points P and Q. Step 3 : Using the same radius and with P and Q as centres, construct two arcs that intersects at a point say N on on the other side. Step 4 : Join M N . Thus MN is perpendicular to l . Thus MN is A. Only Step 1 B. Both Step 3 and Step 4 C. Only Step 3 D. All steps are correct.

47.

49.

D.

Each angle of a rectangle is a right angle. All the sides of a rhombus are of equal length. All the sides of a parallelogra m are ar e of equal length. The diagonals of a square are perpendicular to one another.

Fill in the blanks: A region in the interior of a circle enclosed by an ___ P__ on one side and a pair of ___ Q__ on the other two sides is called a ___ R__.

50.

Q radii arc radii arc

Match the following: Lines of symmetry (i) 0 (ii) Only 1 (iii) 2 (iv) 3 A. B. C. D.

Which of the following statements is INCORRECT? A. B. C.

48.

A. B. C. D.

P arc radii arc chord

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

R sector segment segment sector

Example p. Isosceles triangle q. Equilatera Equilaterall triangle r. Scalene triangle s. Rectangle

→ s;

(ii) → r; (iii) → p; (iv) → q → q; (ii) → r; (iii) → p; (iv) → s → r; (ii) → p; (iii) → q; (iv) → s → r; (ii) → p; (iii) → s; (iv) → q

Select the correct option. Statement-1 : A number for which sum of all its factors is equal to twice the number, is called a perfect perf ect numb number. er. Statement-2 : 6 and 28 are perfect numbers. A. B. C. D.

SPACE SPA CE FOR ROUGH WORK

Statement-1 is true but Statement-2 is false. Statement-1 is false but Statement-2 is true. Both the Statements are true. Both the Statements are false.

9th


MATHEMATICS

1.

2.

Raman is 50 years old and Raj is 19 years older than Raman. Write the sum of their ages in Roman system.

The difference between the sum of sales in (January & December) and the sum of sales in (May & June) is ______.

A.

CXIX

A.

14000

B.

XXDI

B.

10000

C.

XLII

C.

50000

D.

CXLI

D.

55000

3.

Find the largest 6-digit number which is completely divisible by 8 out of the given options. A.

999476

B.

999910

C.

999360

D.

999920

5.

6.

A.

15

B.

16

C.

17

D.

18

s d n a s u o h t n I ( e l a S

A number is divisible by 3, if the product of its digits is divisible by 3.

B.

If a number exactly divides the sum of two numbers, it must exactly divide the two number s separately.

C.

A number is divisible by 6, if it is divisible by both 2 and 3.

D.

A number is divisible by 11 if difference between the sum of odd place digits and product of even place plac e digits digi ts is either eith er zero or divisibl divi sibl e by 11.

8.

The number 970169706 is not divisible by _____.

Find the least number, which when divided by 36, 24 and 48, leaves remainders 33, 21 and 45, respectively.

A.

8

B.

3

A.

141

C.

9

B.

140

D.

11

C.

142

D.

144

9.

The number x is x is a common factor of 16 and 24. It is also a common multiple of 2 and 8. The number y is y is a common factor of 18 and 27. It is also a common multiple of 3 and 9. Find the difference between

A multiple of a given number is divisible by the _____ and the minimum number of factors of any number is _____.

x & y. y.

A.

Given number, 1

A.

1

B.

Given number, 2

B.

2

C.

Multiples of given number, 2

C.

4

D.

Multiples of given number, 1

D.

8

Read the following graph and answer the question below. belo w.

)

Which of the following statements is true? A.

If you multiply me by 29 and add 10 to the product, you will get 532. Who am I?

4.

50 45 40 35 30 25 20 15 10 5

10.

11.

n a J

b e F

r a M

r p A

y a M

e n u J

Months

2

7.

y l u J

g u A

p e S

t c O

v c o e N D

Select the CORRECT match. A.

1 lakh = 100 ten thousand

B.

1 million = 100 lakh

C.

1 crore = 10 ten lakh

D.

1 million = 1 hundred thousand

If the opposite angles of a quadrilateral are equal and diagonals are not equal, then the quadrilateral is a _____. A.

Parallelogra m

B.

Trapezium

C.

Rhombus

D.

Rectangle

| 9th IMO | Class-6 | Level 2

12.

How many blocks must be added in gure (ii) to make gure (i)?

A. B. C.

F igu r e ( i)

13.

A.

24

B.

29

C.

31

D.

39

F i gur e ( i i) D. 16.

The given picture is shaded to represent a fractional number.

17.

4 18 5 36 1 2 9 12

Ali had 88 stamps more than Samir. After Samir 7 bou ght ano the r 23 sta mps , Sam ir had as many 8 stamps as Ali had. How many stamps did Ali have? A.

165

B.

432

C.

581

D.

520

Simplify :

How many of the stars in the group below must be shaded to represent a fraction with the same value of above unshaded fractional number ?

14.

A.

5

B.

6

C.

8

D.

11

Find the value of (P + Q) × (R + S). P

1

A. B. C. D. 15.

 (24 − 16) ÷ 1 − 64 ×  8

18.

Q

S 2

3

R 3

19.

41

100 81 15 100 51 6 50 81 4 100

What fraction of the gure is shaded?

9th IMO | Class-6 | Level 2 |

 1 5 3 1     2 2 + 3 7 × 13 − 2 ÷ 4  ÷ 100  +

A.

6.0032

B.

60.0302

C.

60.032

D.

60.320

How many A.

7

B.

35

C.

38

D.

12

14

’s are there in

5 2

?

Garima has 142 marbles. She gave 48 to her sister and 50 to her brother. What fraction of the marbles is left with her? A. C.

20.

1

+ 4  (10 − 2)  1

22 71 24 71

B. D.

23 71 26 71

Samay and Prashi had an an equal amount of money. money. After Prashi bought a book that cost ` 79.90 and Samay bought a watch that cost ` 493.40, Prashi had left 2 times as much money as Samay had with him. How much money did Prashi have at rst? A.

`

506.75

B.

` 193.50

C.

`

906.90

D.

` 2050.15

3

21.

22.

Manya, Charu and Amit have ` 125000.75, ` 28000.79 and ` 18000.45 respectively in their personal ba nk ac co un ts . Ho w mu ch mo ne y do th ey ha ve altogether? A.

` 170000.90

B.

` 171001.99

C.

` 171001.09

A.

3.12, 5.24, 6.56

D.

` 171002.95

B.

3.21, 5.42, 6.65

C.

3.11, 5.42, 6.65

D.

3.11, 5.65, 8.65

The given bar graph shows the number of students in 4 sections of class 6. 26.

If the given gure is made up of identical squares of side 4 cm, then nd the perimeter and shaded area of the gure respectively.

Ratio of total number of boys to total number of students in the 4 sections is ______.

23.

24.

A.

2:5

B.

3:4

A.

300 cm, 96 cm 2

C.

1:2

B.

240 cm, 384 cm 2

D.

1:3

C.

300 cm, 52 cm 2

D.

240 cm, 52 cm 2

What least number should be added to 2410 to get a number exactly divisible by 45?

27.

A.

30

runs around a rectangular park of length 100 m and

B.

10

breadth brea dth 50 5 0 m. Wh o covers cove rs more m ore dista d istance nce an d by how h ow

C.

20

much?

D.

15

A.

Meenu, 20 m

B.

Sohan, 40 m

C.

Sohan, 20 m

D.

Meenu, 30 m

The given gure is made up of small squares. The area of a small square is 9 cm 2. Find the perimeter of the gure. 28.

25.

4

Sohan runs around a square park of side 80 m. Meenu

A.

96 cm

B.

98 cm

C.

106 cm

D.

108 cm

Place numbers in the vacant triangles triangles in the given gure such that the sum of two triangles equals the value in the circle.

Ayush had a square cardboard. The cardboard cardboard was cut into 8 equal triangles. Find the area of each triangle.

A.

10 cm 2

B.

400 cm 2

C.

80 cm 2

D.

800 cm 2


29.

30.

In a mixture of 60 litres, the ratio of milk and water is 2 : 1. What will be the quantity of water added in mixture, so that new ratio of milk and water becomes 4 : 5?

35.

The ratio of Maya’s savings in account P to her savings in account Q was 5 : 8. If she spent

2

A.

20 litres

of 5 her savings from account P and is left with ` 2457 in her account P, then what was the total amount in

B.

30 litres

account P and Q?

C.

40 litres

A.

` 14607

D.

60 litres

B.

` 10647

C.

` 19118

D.

` 24507

If the weight of Q is equal to R and weight of P is thrice the weight of Q, then nd the total weight of P + Q (All triangles are identical). 36.

A rectangular piece of paper paper is folded as shown here . Find the perimeter and area of the paper before it is folded. 2 cm

3 cm

A.

35 kg

B.

30 kg

C.

32 kg

D.

45 kg

2 cm

2 cm

31. A machine prints 124 magazines in 6 minutes. At this rate, how many magazines will it print in 2160 seconds?

32.

33.

18 cm, 18 cm 2

B.

11cm, 20 cm 2

720

C.

26 cm, 22 cm 2

B.

748

D.

26 cm, 24 cm 2

C.

632

D.

744

A.

4.5

B.

37.

The ratio of Gaurav’s age to Mohit’s age is 5 : 6. If Gaurav is 9 years younger than Mohit, then 2 years

5 y + 10 + 3 y − 4

later, sum of their ages is _____ years.

if 2 y – y – 5 = 7.

2 y

A.

45

8.5

B.

54

C.

6.4

C.

103

D.

3.8

D.

99

We have a * b =

3a + 2b

. If p =

1

3a − 2b 5 (4q (4 3 ). nd the value of 5 p 5 p * q * q A. C.

34.

A.

A.

Find the value of

2 cm

−4 3 –3

B.

3

D.

15

and q = 3, then

38.

Find the the minimum minimum number of shaded shaded squares to be added so that the gure has vertical line of symmetry.

Trishika is 15 years old. 5 years ago, Jay was 3 x times x times older than Trishika. What will be their total age after 3 years? A.

(18 + x) x) years old

A.

1

B.

(13 + 30 x) x) years old

B.

2

C.


C.

3

D.


D.

4


5

39.

40.

41.

42.

3 x − 8 If 57 : 95 :: 51 : x, x , then the value of is 3 x + 8 ______. ____ __. A.

95/263

B.

76/247

C.

114/115

D.

247/263

43.

−(−3) + (−4) − (−13) − (14) 8 + (−9) + 5 − (−4) A.

AD

B.

BE

C.

CF

D.

None of these

−5 4

B.

44.

The descending order of CLXX, XXXVI, MV is _____. ____ _. MV, MV, XXXVI, CLXX

B.

MV, MV, CLXX, XXXVI

C.

CLXX, XXXVI, MV

D.

XXXVI, CLXX, MV

Which of the following statements is true? A.

Zero is the smallest whole number.

B.

All whole numbers are natural numbers.

C.

1 is the smallest whole number.

D.

The predecessor of a two digit number is never a single digit number.

2

C. D.

A.

−2 4

In D AB C , AB = BC and AD ^ BC , BE ^ AC and CF ^ AB. AB. Then, D ABC is symmetrical about ______. A.

Find the value of

45.

4

−1 4

The sum of ages of four persons is 114 114 and their ages are in the proportion 3 : 4 : 5 : 7. The sum of the age of eldest and youngest person is _____. A.

18 years

B.

60 years

C.

24 years

D.

30 years

Fill in the box with >, < or = . (–7) –8 –(–25)

50 –(–40) –(–2)

A.

>

B.

<

C.

=

D.

Can’t be determined

ACHIEVERS SECTION

46.

The given bar graph shows the number of mobile phones phone s sold at the 4 stor es in May, June and July. Find the ratio of the total number of mobile phones sold at the 4 stores in May & June and June & July.

Statement-2 :

48.

16 and 48 are perfect numbers.

A.

Statement-1 Statement-1 is true but Statement-2 is false.

B.

Statement-1 is false but Statement-2 is true.

C.

Both the statements are true.

D.

Both the statements are false.

The given gure (not drawn to scale) is made up of two overlapping squares, ABCD and PQRS . PMCN is also a square. Find the perimeter of the gure in terms of x. x. A

8 x cm

D 6 x cm

N

P

A.

3:4

B.

1:2

C.

5:6

D.

10 : 21

B

47.

Select the correct option. A number for which sum of all its factors is equal to twice the number, is called a perfect perf ect number. numb er. Statement-1 :

6

C

M Q

S

5 x cm

R

A.

44 x cm

B.

22 x cm

C.

32 x cm

D.

54 x cm


49.

Fill in the blanks. (P)

50. 50.

Points are ________ if they lie on the same line.

The length of pencil Q is exactl y half way be t we en th e le ng th s of pe nc il P an d pe n ci l R. What is the total length of pencil P, Q and R? Pencil P

(Q) ________ is a chord of circle, passing passing through the centre.

Pencil Q

(R) ________ are lines which do not meet.

Pencil R

P

Q

R

A.

Non- collinear

Diameter

Perpendicular lines

B.

Collinear

Diameter

Parallel lines

0 cm

C.

Collinear

Radius

Parallel lines

D.

Non- collinear

Diameter

Parallel lines

A.

19

C.

11

1 14 4 7

10

4 cm 7

cm

B.

34

cm

D.

10

13 14 23 14

?

12

5 cm 7

cm cm

SPACE SPACE FOR ROUGH WORK


7

10th


MATHEMATICS

1.

The figure below is made up of 4 overlapping

5.

Find the sum of P, Q, R and S.

squares. Find the perimeter and the area of the gure.

6.

2.

10

C.

4

D.

6

What is the difference between the place value of 4 and 3 in 146.306? A.

38

B.

39.7

C.

35.7

D.

36.5

A.

117 cm 2

60 cm

B.

60 cm

117 cm 2

fractions

C.

60 cm 2

117 cm

D.

117 cm

60 cm 2

the actual correct result. Find the result obtained by Nisha. Nish a.

7.

If 3 is a factor of x and 72 is a multiple of

x,

A.

6

B.

12

C.

8

D.

18

Nisha made a mistake when multiplying the two

A.

then

x ?

B. C. D.

Arrange the following fractions in descending

A.

Q, P, R, S, T

B.

T, S, R, P, Q

C.

S, T, P, R, Q

D.

Q, R, P, T, S

8.

9. Find the difference between the greatest and the smallest 9-digit number formed by using the given digits (Use each digit at least once). 0

2

B.

Area

order.

4.

8

Perimeter

which of the following cannot be the value of

3.

A.

8

A.

500,998,889

B.

588,998,779

C.

599,980,851

D.

599,988,051

9

7

6

4

7 9

and

6 13

and got the result 1 more than

46 39 53 39 43 39 54 39

Which number sentence is shown by the given number line?

A.

–8 + 10 – 5

B.

–2+8–3

C.

–8 + 2 + 3

D.

2–3–8

Which of the following situations best describes for (6 × 10) + (6 × 9)? A.

If cost of 10 notebooks is ` 6 and cost of 6 notebooks is ` 9, then nd the total cost.

B.

Sam and Trishu work for 10 and 9 days respectively. If both earns ` 6, nd the total amount they earn.

C.

If cost of 6 pens and 9 erasers are ` 10 each and ` 6 each, then nd the total cost.

D.

None of these | 10th IMO | Class-6 | Level 2

10.

11.

Three mugs mugs contains 1401 mL, 1434 mL and 1464 mL of water respectively. Find the maximum capacity of the mug that can exactly measure the water of the three mugs? A.

7 mL

B.

3 mL

C.

1 mL

D.

5 mL

Find the pair of equivalent fraction of shaded parts.

(a)

12.

15.

(b)

(c)

(d)

A.

 10 − x   2 

B.

 x − 10  2 

C.

(10 – x)

D.

( x – 10)

There are two numbers. One is 5 times the other. They have 6 common factors. Three of the common factors are 1, 4, 12. (a)

What are the other common factors?

(b)

What are the numbers?

(e)

(a) and (e)

A.

2, 3, 6

12 and 60

B.

(b) and (e)

B.

3, 6, 9

18 and 90

C.

(a) and (c)

C.

2, 3, 5

15 and 75

D.

None of these

D.

2, 7, 6

14 and 70

The given pie chart shows how Latika spent her monthly salary after saving 25% of it.

16.

17.

Pooja has a number of ` 500 and ` 2000 notes in the ratio of 10 : 7. The total value of all the notes is ` 38,000. What is the total value of ` 500 notes? A.

`

10,000

B.

`

28,000

C.

`

14,000

D.

`

16,000

If

x

=

y

14.

(b)

A.

What percentage of Latika’s salary was spent on Entertainment?

13.

(a)

A.

(75/8)%

B.

9%

C.

12%

D.

(73/4)%

The given gure is made up of 4 squares, each of side 4 cm. Find the area of the shaded triangle.

A.

18 cm 2

B.

24 cm 2

C.

18 cm

D.

2

6 cm

Mrs Kapoor had x eggs. She used 10 eggs to bake a cake and half of total number of eggs gave to her neighbour. How many eggs are left with her ?


18.

19.

5 4

A.

1

B.

1/7

C.

2/7

D.

3/7

, then the value of

 4 + 2 x − y   7 2 x + y    is

Find the value of P and Q. (i)

125 cm : 20 m : : ` P : 64000 paise

(ii)

4 L : 2000 mL : : ` 400 : Q paise

A.

P 40

Q 20000

B.

100

10000

C.

200

4000

D.

400

2000

Find the value of

3 4

+

5

1 12

−1

1 3

−

1 2

×

9 10

in decimal

form. A.

4.05

B.

4.5

C.

40.5

D.

40.05 3

20.

Neha has to type a 10 page document. Each page

25.

contains an average of 960 words. How long will she take to type the whole document if she type at

What is the minimum number of squares that must be shad ed so that tha t the line lin e PQ beco mes the line lin e of symmetry?

the rate of 50 words per minute? A.

3 hours

B.

3 hours 20 seconds

C.

3 hours 20 minutes

D.

3 hours 12 minutes

 2 x   x  × × + 2 x − 4 when   + 5 x − 8    4 8 2

21.

Find the value of x

22.

= 2.

A.

3

B.

4

C.

5

D.

–2

2

A.

7

B.

5

Sanchi mixes 100 mL of fruit juice and 250 mL

C.

6

of water to prepare 5 cups of fruit punch. Which

D.

8

of the following shows the right proportion of fruit juice and water, if she makes 12 cups of fruit

26.

punch ?

23.

Fruit Juice

Water

A.

360 mL

600 mL

B.

600 mL

240 mL

C.

200 mL

500 mL

D.

240 mL

600 mL

Which of following solid object object has two triangular triangular and three rectangular faces?

A.

B.

C.

D.

None of these

Arun sold (4 k + 1) tickets on Monday. He sold (k + + 1) more tickets on Tuesday than on Monday. If the total cost of tickets sold on Monday and Tuesday ____ __ . is ` R, then cost of each ticket is ` ______ A. B.

27.

9k + 3

D. 24.

A.

216546 is divisible by 3 and 9 both.

B.

216546 is divisible by 2 but not divisible by 3.

C.

216546 is divisible by both 2 and 3 but not divisible by 6.

D.

216546 is divisible by 3 but not by 4.

3

3(3k + 1) R R

C.

Which of the the following following statements is correct? correct?

9k + 3

3(3k + 1) ×

R 3

28.

55 3216

is equal to 1

A. 3+

The admission fee to the dance class is ` 4500.

1 1+

The admission fee to the music class is ` 3500. If

1

−

1 16

10 students take the admission in dance class and

1+

1 2+

1 4

B.

1   −  1   3 + 1   3 + 1   1   1   1 +   1 + 1   16  2+   4 

45,000

C.

Both A and B

35,000

D.

None of these

5 students take the admission in music class, then total admission fee collected is________.

4

1

3+

A.

`

62,500

B.

`

8,000

C.

`

D.

`


29.

The approximate value of 0.3333 × 0.25 × 0.499 × 0.125 × 24 is______. A. B. C. D.

30.

(Direction 33-34) : The graph shows the different types

of food enjoyed by some children during picnic.

1 8 3 4 3 8 2 5

Find the area of the given gure.

33.

How many more children like pizza and parantha together than of burger and parantha together?

31.

A.

28.25 cm 2

B.

44.25 cm 2

C. D.

34.

A.

5

B.

4

C.

6

D.

7

What fraction of the total children like sandwich? A.

4/69

41.35 cm 2

B.

14/69

None of these

C.

22/68

D.

8/79

Which of the following number line correctly represents –8 + 2?

35.

Water boils at 212°F or 100°C and freeze at 32°F or 0°C. If the temperature of a particular day is 25°C, then it is equivalent to :

A.

B.

C. 36.

77°F

B.

62°F

C.

112°F

D.

92°F

The number of digits in numbers 20 millions and 23 crores will be respectively______.

D. 3 2.

A.

Garima bought following items to prepare Manchurian. Items

Onion

Cabbage

Flour

Carr ot

Capsicum

Bread crumps

Weight

1. 2 k g

?

500 g

2.3 kg

1.5 kg

250 g

If she bought 10 kg weight, then how much cabbage she bought?

37.

A.

8 and 9

B.

9 and 8

C.

7 and 8

D.

8 and 7

Find the value of 65

B.

46

3.75 kg

C.

35

4.75 kg

D.

26

4.25 kg

B.

3.50 kg

C. D.


−14

} ÷ 3 [17 + 3 × 4

– (2 × 7)] + 20 – 2(5 – 4) × {3 – (5 – 3)}. A.

A.

{

45 + 3 34 − 18

5

38.

39.

40.

41.

When a group of students were formed into groups of 5 or 6, one student was left out on both occasions. When they were grouped as groups of 7, nobody was left out. What is the least number of students in the group? A.

91

B.

85

C.

84

D.

63

42.

By how much is the difference of 166.2 and 902.5 less than their sum? A.

332.4

B.

323.4

C.

331.2

D.

333.4

The rent of an apartment for 3 months is ` 5700. What is the rent of the apartment for two years?

43.

The gure below is made up of a square ABCD and two semicircles. Find the perimeter of the shaded part. part . (Take p = 3.14)

A.

10.28 cm

B.

26.56 cm

C.

20.56 cm

D.

21.56 cm

If today is Friday, than what day of the week will it be 301 days from now?

A.

`

50,000

A.

Saturday

B.

`

45,600

B.

Friday

C.

`

57,000

C.

Wednesday

D.

`

1,71,000

D.

Thursday

Following are the steps of construction of an angle of 120°. Identify the wrong step.

44.

Which of the following is the correct arrangement of ascending order?

 

(i)

Draw a ray

AB .

(ii)

With A as centre and a convenient radius, draw

A.

323.3, 33.23, 3.332, 3.323, 3.233

B.

3.233, 3.323, 3.332, 33.23, 323.3

C.

3.233, 3.323, 3.332, 323.3, 33.23

D.

323.3, 33.23, 3.332, 3.233, 3.323

  

an arc to intersect

AB at

X.

(iii) With X as the centre, draw an arc with the same radius to intersect the above arc at C. (iv) With C as centre, again draw an arc to intersect the rst arc at D.  

(v)

Draw ray AC. measure 120°.

∠ CAB

is the required angle of

45.

Compare and put the sign ‘<’, ‘>’ or ‘=’ in the box. (i)

5 kL

5,000,000 mL

(ii)

2.5 kg

2850 g

(i)

(ii)

A.

(iii) and (v) only

A.

>

>

B.

(iv) only

B.

<

<

C.

(i) and (iv) only

C.

>

=

D.

(v) only

D.

=

<

ACHIEVERS SECTION

46.

6

Rectangle P and square Q are put together to make rectangle R. The breadth of rectangle P is half of length of rectangle P. Each side of square Q is equal to the breadth of rectangle P. Also, given that length of rectangle P is 10 cm. (i)

Find the perimeter of rectangle R.

(ii)

Find the difference between the area of rectangle P and R.

P

Q

R

(i)

(ii)

A.

50 cm

30 cm 2

B.

40 cm

25 cm 2

C.

25 cm

70 cm 2

D.

30 cm

50 cm 2 | 10th IMO | Class-6 | Level 2

47.

Find the value of P, Q, R and S.

49.

(i)

Largest 7-digit number + 1 =

(ii)

Ten million = 1 followed by

P

zeroes.

(iii) (ii i) 1 million = 1 followed by R zeroes = S lakhs.

P

Q

R

S

A.

9999999

6

7

10

B.

10000000

7

6

10

C.

9999999

7

7

1

D.

10000000

6

6

1 50.

48.

Match the columns.

Q.

Column II

3 x + 15 = 5 x + 5 4 x + 1 7

=

3x − 5 5

two

(i)

Least value of

(ii)

Maximum value of

a

+ b. a

+

(i)

(ii)

A.

8

17

B.

9

18

C.

8

18

D.

8

15

b.

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

Column I

P.

a and b are

digits. This number is divisible by 9. Find the

.

Q

46 a7b2 is a 6-digit number in which

(i)

x

= 40

(ii)

x

=–8

(i)

The amount of interest earned is proportional to the principal, if the rate and time period are the same.

(ii)

In ratio, the rst term is known as consequent

R.

5( x – 1) + 3 = 2( x + 11)

(iii)

x

=5

and the second term is known as antecedent.

S.

2( x – 2) – 1 = 4( x + 2) + 3 (iv)

x

=8

(i)

(ii)

A.

P

→ (i),

B.

P

→ (iii),

Q

→ (i),

C.

P

→ (iii),

Q

→ (iv),

D.

P

→ (i),

Q

Q

→ (ii),

→ (iii),

R

→ (iii),

R

→ (iv)

A.

T

F

S

→ (ii)

B.

F

T

→ (i),

S

→ (ii)

C.

T

T

→ (iv),

S

→ (ii)

D.

F

F

→ (iv),

R

R

S

SPACE SPACE FOR ROUGH WORK


7

ANSWER KEYS 5th IMO 1. 8. 15. 22. 29. 36. 43. 50.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

6th IMO 1. 8. 15. 22. 29. 36. 43. 50.

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

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

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

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

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

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

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

7th IMO 1. 8. 15. 22. 29. 36. 43. 50.

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

49. 50.

(B) (B)

10 th IMO 1. 8. 15. 22. 29. 36. 43.

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

50.

(A)

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

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

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

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

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

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

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

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

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

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

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

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

Class 6 Imo 5 Years e Book l2 2017

Recommend Documents