Class 6 IMO 5 Years e Book

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CLASS 12

Contents ªª 4th IMO 2010 ªª 5th IMO 2011 ªª 6th IMO 2012 - SET A ªª 6th IMO 2012 - SET B ªª 7th IMO 2013 - SET A ªª 7th IMO 2013 - SET B ªª 8th IMO 2014 - SET A ªª 8th IMO 2014 - SET B

MTG Work-Books / olympiad books CLASS 1

International Mathematics Olympiad

National Science Olympiad

International English Olympiad

MTG CSS Series

CLASS 2



National Cyber Olympiad


MTG CSS Series


MTG CSS Series

CLASS 3









MTG CSS Series


MTG CSS Series


MTG CSS Series

CLASS 5




CLASS 6








Science IQ Challenge

Math IQ Challenge


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Master Mental Ability in 30 Days

CLASS 8





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Math IQ Challenge


Psychology of Success

The Secrets of SUCCESS




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CLASS 10


Math IQ Challenge










Math IQ Challenge







CLASS 12


Math IQ Challenge







Class

1 to 10

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

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

Class 8

Class 9

Class 10

Class 6 4th

Year 2010

Copyright©2015. Science Olympiad Foundation (SOF)

4th IMO - 2010

SECTION I : LOGICAL REASONING 1.

What is the sum of the shaded parts if shaded parts are expressed in fractions ? 11 9 11 (C) 18

(A)

2.

3.

5.

+

A coach asked 3 players on a basketball team to attempt 25 free throws each during practice. The given table shows the number of free throws each player made in 25 attempts. Based on the information in the table, which is the most reasonable prediction of the number of free throws Armaan will make out of his next 75 attempts? (A) 12 (B) 60 (C) 15 (D) 5

Free throws Player

Number of free throws made

Piyush

12

Siddharth Armaan

18 5

Which net will make this figure?

(A)

4.

11 7 7 (D) 18

(B)

(B)

(C)

(D) None of these

Movie times

The given table shows the starting and end time of a movie at a theatre. According to the information in the table, which of the following statements is true? (A) The end time is exactly 2 hours 45 minutes after the start time. (B) The end time is exactly 2 hours 15 minutes after the start time. (C) The end time is exactly 3 hours 30 minutes after the start time. (D) The end time is exactly 3 hours 45 minutes after the start time.

Start

End

12:30 P.M.

2:45 P.M.

3:00 P.M. 6:45 P.M. 9:20 P.M.

5:15 P.M. 9:00 P.M. 11:35 P.M.

Which of the following shapes do not have a line of symmetry ? (A) P and Q only

(B) P and R only

(C) Q and R only

(D) Q and S only

P

Q

R

S N

6.

7.

A truck departs from a distribution center. From there, it goes 2 blocks east, 3 blocks south and 3 blocks north. How far and in which direction must the truck go to get back to the distribution center? (A) 4 blocks west

(B) 4 blocks east

(C) 2 blocks west

(D) 2 blocks east

E

S

The letters S and T stand for numbers. If S – 100 = T – 100, which statement is true? (A) S = T

8.

W

(B) S > T

(C) S = T + 100

(D) S > T + 100

Class A has higher enrolment than Class B. Class C has a lower enrolment than Class B. Class A has a lower enrolment than Class C. If the first two statements are true, the third statement is ________ (A) True

4 th IMO | LevelI | Class 6

(B) False

(C) Uncertain 2


(D) None of these

4th IMO - 2010

9.

Rahul put his timepiece on the table in such a way that at 6:00 P.M. the hour hand points to North. In which direction will the minute hand point at 9:15? (A) SouthEast

(B) South

(C) North

(D) West

10. Which number will be on the face opposite to the face which has 2 on it ? (A) 1 (B) 5 (C) 4 (D) 6 Kabbaddi

11. Study the diagram and identify the students who play all the three games. P

(A) P + Q + R

Q

(B) V + T

R

S

(C) S + T + V

T

U

Football V Cricket

(D) S

12. Arrange the words given below in a meaningful sequence. (i) Fibre (ii) Plant (iii) Saree (iv) Cotton (v) Cloth (A) (ii), (iv), (v), (i), (iii) (B) (ii), (iv), (iii), (v), (i) (C) (ii), (iv), (i), (v), (iii) (D) (ii), (iv), (v), (iii), (i) 13. Six friends P, Q, R, S, T and U are sitting around a hexagonal table, each at one corner and are facing the centre of the hexagon. P is second to the left of U. Q is neighbour of R and S. T is second to the left of S. Who is sitting opposite to P ? (A) R

(B) Q

(C) T

(D) S

14. Which letter replaces the question mark?

E

M

H

(A) M

(B) P

N

O

A

(C) E

(D) W

I

?

D

15. Which of the following options can replace the last grid ? ?

(A)

(B)

(C)

(D)

16. Which single transformation is shown below? (A) Reflection (B) Rotation (C) Translation (D) None of these 17. Look at the square and the cube shown in figure. Which of the following statements about both of these figures appears to be true? 10 cm (A) The square has 4 times as many vertices as the cube. 10 cm (B) The square is congruent to each face on the cube. (C) The square has 3 fewer sides than the cube has edges. (D) The square has the same number of right angles as the cube. 3



4th IMO - 2010

18. The list given below shows the number of students out of 30 who chose different foods in the cafeteria. (i) 11 students chose pizza. (ii) 4 students chose hamburgers. (iii) 3 students chose tacos. (iv) ? students chose salad. How many students chose salad ? (A) 18, because 11 + 4 + 3 = 18 (B) 26, because 30 – (11 – 4 – 3) = 26 (C) 12, because 30 – 11– 4 – 3 = 12 (D) 20, because 30 – (11 – 4 ) – 3 = 20 19. Look at the graph: Text messages received by Kirti

Number of messages

100 90 80 70 60 50 0 Sunday

Monday

Tuesday Wednesday Thursday

Friday

Saturday

On which day did Kirti receive the fewest text messages? (A) Tuesday

(B) Wednesday

(C) Thursday

(D) Friday

20. A coach conducted a survey to determine how many students plan to tryout tennis and golf. The results of the survey are shown below. (i) A total of 30 students plan to tryout tennis. (ii) A total of 40 students plan to tryout golf. (iii) 10 students plan to tryout both tennis and golf. Which of the following diagrams best represents this information ?

Tennis

(A)

20

Golf 10

Tryouts

Tryouts

Tryouts

30

Tennis

(B)

10

Tennis

Golf 10

40

(C)

90

Tryouts

Golf 10

10

Tennis

(D)

10

Golf 10

90

SECTION II : MATHEMATICAL REASONING 21. Sneha bisects an angle to form two new angles. If the original angle had a measure of 8°, what is the measure of each new angle? (A) 8°

(B) 20°

(C) 4°

8°

(D) 16°

1 the cost 3 of attending the camp. Rehan had saved money to pay the rest of the cost. Which equation can be used to find c, the entire cost of attending the camp?

22. Rehan attended a basketball camp for two weeks. His parents paid ` 50.00, which was

(A) c = 50 ´

1 3

(C) c =

(B) c = 50 ´ 3

1 (50 ´ 3)

23. Which digit makes the given sentence true? 58,314,70? is divisible by 5. (A) 4 (B) 5 (C) 9 4 th IMO | LevelI | Class 6

4


(D) c = 3 ´

(D) 1

1 50

4th IMO - 2010

24. QS and TV are parallel lines. Which angles are supplementary angles?

W

T

Q

U

(A) ÐVUW and ÐQRP (B) ÐVUW and ÐSRU

R P

(C) ÐVUW and ÐVUR (D) ÐVUW and ÐTUR

V

S

25. A veterinarian weighed all the dogs that visited her office last month. Use the data to complete the frequency chart shown below. Dog weights (lbs) 2 3 , 2 7 , 2 7 , 3 9 , 4 3 , 4 5 , 4 6 , 4 7 , 4 9 , 5 0 , 5 3 , 5 5 , 5 8 , 5 8 , 5 9 , 6 4 , 7 1 , 8 3 , 8 4 , 8 6 , 8 8 , 8 9 Find the missing number. Dog weights

Number of dogs

(A) 5

40 49 50 59

20 29 30 39

Weight (lbs)

3

1

60 69 70 79 80 89

6

(B) 6

1

(C) 9

1

5

(D) 8

26. Prachi took a total of 2 hours to write 30 party invitations. Which of the following equations can be used to find m, the number of minutes Prachi took to write 1 invitation? (A) (60 ¸ 30) ¸ 2 = m (B) (60 ´ 30) + 2 = m (C) (60 ¸ 2) ´ 30 = m (D) (60 ´ 2) ¸ 30 = m 27. Which symbol is located at –3 on the number line shown below ?

–5

(A)

0

(B)

5

(C)

(D)

28. The figure is made of three squares joined together.

3 cm

What is the area of the figure in square cm ?

3 cm

(A) 9 square cm

3 cm

(B) 18 square cm (C) 27 square cm

3 cm

(D) 81 square cm 29. Which of the following squares would you shade to make the figure symmetrical? (A) B and D

(B) A and C

(C) D and C

(D) B and C

A D C

30. The given table shows the area, in square kilometres, of four lakes.

B

Area of Four Lakes Lake

Area (km 2 )

H

59,600

(B) 57,800 km

M S

57,800 82,100

(C) 25,700 km 2

O

18,960

E

?

Lake E has a greater area than Lake O but a smaller area than Lake M. Which could be the area of Lake E ? (A) 76,760 km 2 2

(D) 18,960 km 2 5



4th IMO - 2010

31. Sara is counting by 3's. If she starts counting at –30, what are the two missing numbers ? ? ? –30, –27, –24, – 21, ___, ___, –12

(A) –18, –15

(B) –19, –17

(C) –20, –13

(D) –22, –23

32. Which of the following statements about the 3dimensional figure appears to be true? (A) It has no congruent faces. (B) It has 3 congruent rectangular faces. (C) It has 6 congruent faces. (D) It has 3 congruent triangular faces. 33. Which equation does this set of algebra tiles represent? (A) X + 1 = 10 (B) X + 6 = 10 (C) X + 1 = 3 (D) X + 6 = 3

X

1

1

1

1

1

1

1 1 1

=

1 1 1 1 1 1

34. Find the value of (24 – 16) × 8 – 64 ¸ (10 – 2) + 4. (A) 60

(B) 56

(C) 16

(D) 24

35. Karan is k years old. Rahul's age, r, is 6 more than 2 times Karan's age. Which of the following equations best represents Rahul's age? (A) r = (6 + 2)k (B) k = 2r + 6 (C) r = 2k + 6 (D) k = (6 + 2)r 36. Abhay found the perimeter of a square to be 12 metres. Which of the following could be used to find the length (l) of one edge of the square? (A) l = 4 × 12 (B) l = 12 ¸ 4 (C) l = 4 + 12 (D) l = 4 – 12 37. Vikas Electronics Store is having a sale. To advertise the sale, the store manager wants to outline the store window with colourful ribbon. How many metres of ribbon will be needed to outline the 4 sides of the

Vikas Electronics Store 2 m

7 m

window? (A) 35 m

(B) 24 m

(C) 19 m

(D) 32 m

5 m

8 m

38. Which relationship between units of time is correct? 1 of one year 365 1 (C) One second is of one minute 60

1 of one hour 365 1 (D) One minute is of one second 60

(A) One hour is

(B) One hour is

39. Rohan rolled 3 fair number cubes, and the numbers shown below came out on top. If each number is used only once, which group shows all the 3digit numbers that can be made with these digits?

4

5

(A) 456 565, 654, 544, 655, 645 (C) 456, 465, 564, 654, 546, 444 4 th IMO | LevelI | Class 6

6 (B) 456, 546, 654, 645, 556, 664, 555 (D) 456, 465, 564, 546, 645, 654

6


4th IMO - 2010

40. Look for the pattern of the three sequence of numbers given below. 2, 4, 6, 8, 10 7, 14, 21, 28, 35 11, 22, 33, 44, 55 Each sequence is an example of what kind of numbers? (A) Even numbers (B) Multiples (C) Primes

(D) Odd numbers

SECTION III : EVERYDAY MATHEMATICS 41. Ms. Neha needs to replace the batteries in 20 calculators. Each calculator uses 4 batteries. The batteries are sold in packages of 16. How many packages of batteries does Ms. Neha need to buy? (A) 64

(B) 4

42. Sasha is using a wooden strip

(C) 80

(D) 5

7 m long to make a picture frame. If she cuts off a piece that is 8

3 m long, which fraction best represents the portion that is left of the original strip? 4

(A)

13 m 8

(B) 1 m

(C)

1 m 4

(D)

1 m 8

43. It takes 90 minutes to wash 20 vehicles at a car wash. At this rate, how many minutes does it take to wash 5 vehicles? 1 1 (A) 22 mins (B) 14 mins (C) 22 mins (D) 7 mins 2 2 44. The weekly milk order of Aryan's shop includes 40 litres of lowfat milk and 15 litres of chocolate milk. What is the ratio of the litres of lowfat milk to chocolate milk in Aryan's weekly milk order? (A) 3 : 1

(B) 5 : 1

(C) 5 : 3

(D) 8 : 3

45. Sneha earns ` 110 each week taking care of pets. Which of the following is the best estimate of how much money she will earn in 28 weeks while taking care of the pets? (A) ` 1000

(B) ` 500

(C) ` 9000

(D) ` 3080

46. At a park, Ashmit intends to hire a buggy to help him get around more easily. The table shows the rate for hiring a buggy. Deposit

24

First hour

12

Every additional hour and part thereof

10

Ashmit intends to hire the buggy from 8:15 a.m. to 2:30 p.m. How much does he have to pay? (A) ` 86

(B) ` 96

(C) ` 56

(D) ` 76

47. Coach Kabir needs to buy 12 Tshirts for the girl's basketball team. The list below shows the prices of Tshirts at 2 stores. (i) Store X : One Tshirt costs ` 250 (ii) Store Y : A package of 6 Tshirts costs ` 1200. What is the amount of money coach Kabir will save if he buys 12 Tshirts from store Y ? (A) ` 600

(B) ` 400

(C) ` 1650

(D) ` 375

48. There were 180 members in the club last year. The membership decreased by 15% this year. How many members are there this year ? (A) 27

(B) 135

(C) 153 7


(D) 207 4 th IMO | LevelI | Class 6

4th IMO - 2010

49. Armaan received ` 2800 as a gift. He wanted to use the money to go to the movies and to buy a book. He wanted to save the money he had left. Which is the correct order of steps to find the amount of money Armaan would have left to save? Step K : Find the sum of the costs of the movie and the book. Step L : Find the difference between ` 2800 and the sum of the costs of the movie and the book. Step M : Identify the cost of the movie and the cost of the book. (A) L, K, M

(B) M, K, L

(C) L, M, K

(D) K, L, M

50. Mohit sliced an orange into circular pieces to put into a bowl of punch. The piece shown below had a radius of 4 centimetres. Which expression can be used to find the approximate circumference of this piece of orange? (A) p × (4) 2

4 cm

(B) 4 × p (C) 2 × p × 7 (D) 2 × p × 4 SPACE FOR ROUGH WORK


8


Class 6 5th

Year 2011


2

5th IMO - 2011

Section I : Logical Reasoning 1.

If husband is called wife, wife is called grandfather, grandfather is called grandmother, grandmother is called maternal grandmother, maternal grandmother is called maternal grandfather, maternal grandfather is called maternal uncle and maternal uncle is called maternal aunt, then what will the

father of the mother be called ? (A) Maternal grandmother (B) Maternal uncle

2.

Which set is most like the given set ?

(C) Maternal grandfather (D) Maternal aunt

(A) (4, 9, 20)

3.

There are four figures (A), (B), (C) and (D). Out of these four figures three are similar in a certain way.

(B) (16, 33, 67)

(8, 18, 37) (C) (13, 30, 67)

(D) (5, 12, 25)

However, one figure is not like the other three. Choose the figure which is different from the rest. (B)

(C)

(D)

(A)

4.

Five girls are standing in a row facing east. Savita is to the right of Urvashi, Tina and Urmila.

Urvashi, Tina and Urmila are to the right of Kanika. Urmila is between Urvashi and Tina. If Tina is 5.

fourth from the left end, how far is Urvashi from the right end? (A) First (B) Second (C) Fifth

(D) Fourth

Figures (i), (ii), (iii) and (iv) constitute the problem set. There is a definite relationship between figures (i) and (ii). Establish a similar relationship between figures (iii) and (iv) by selecting a suitable figure from the options that would replace (?) in figure (iv). C

(A)

(B)

(C)

(D)

6.

Find the figure from the options which completes the pattern in fig. (X). (A)

(C)

(B)

C

(D) SPACE FOR ROUGH WORK


3

5th IMO - 2011 7.

In the given fig. (X), which one of the options will replace the question mark?

(A)

(B)

(C)

(D)

8. Complete the number series given below. 1, 4, 2, 8, 6, 24, 22, 88, (?). (A) 86 (B) 352 (C) 90 9.

(D) 154

Find out from the options which is the mirror-image of the given word, if the mirror is placed vertically right.

CONTENTS (B) ST ET NOC (C) STNETNOC (A) STN ET NO

(D) CONTENTS

C

N

10. In a unit test Sonakshi’s marks in Mathematics are more than her marks in History but not more than her marks in Geography. Her marks in Science are more than her marks in History but not as much as in Mathematics and her marks in English are not as much as in Geography. In which subject did she score the lowest ?

(A) History

(B) English

(C) Science

(D) Data Inadequate

11. A, B, C, D, E, F and G are sitting in a row facing North. (i) F is to the immediate right of E. (ii) E is 4th to the right of G. (iii) C is the neighbour of B and D. (iv) Person who is third to the left of D is at one of the ends. Who are the neighbours of B ? (A) C and D (B) C and G (C) G and F (D) C and E 12. Find the figure from the options which will continue the series established by the problem figures.

(C) T

(B)

(D)

E

(A)

E

=

SPACE FOR ROUGH WORK


4

5th IMO - 2011

13. Find the odd one out.

(A)



(B)





(C)







(D) 



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

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

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

E R P I C 1 2 3 4 5 (C) 3, 2, 4, 5, 1

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

15. Find the figure from the given options which contains fig. (X) as its embedded part. (A)

(C)

(B)

(D)

16. Pia walks a distance of 4 metres towards south. Then she turns to the left and walks 3 metres. After this she turns to the right and walks 4 metres. Now which direction is she facing ?

(A) North-East

(B) South

(C) North

(D) South-West

17. If in a certain code 15789 is written as XTZAL and 2346 as NPSU then how will 23549 be written in the same code ?

(A) NPTUL

(B) PNTSL

(C) NPTSL

(D) NBTSL

18. In the given question, out of these four pairs of figures only one pair has a relationship similar to the pair in figure (X). Which is that pair ?

(A)

(B)

(C)



(D)

5

5th IMO - 2011 19. Which number will replace the question mark in the given pattern ?

4 6 3

(A) 8

8

6 10 5

(B) 12

12

4 8 2

?

(C) 16

(D) 20

20. If ‘+’ means ×, ‘–’ means ÷, ‘×’ means –, and ‘÷’ means +, then

(A) 12

16 ÷ 64 – 8 × 4 + 2 = ? (C) 18

(B) 16

(D) 24

Section II : Mathematical reasoning 21. What is the value of p + q in the given number line ?

(A) – 9

(B) – 6

(C) –3

(D) 3

22. Fill in the blank : 1 million = _______ hundred thousand.

(A) One

(B) Ten

(C) Hundred

(D) Twenty

23. Which of the following statements is CORRECT?

(A) All whole numbers are natural numbers. (C) Division by zero is not defined.

(B) Every natural number has a predecessor. (D) Every whole number has a predecessor.

24. The sum of the prime factors of 63 is _____.

(A) 4

(B) 8

(C) 10

(D) 14

25. How many right angles are there in 3 complete turns?

(A) 16

(B) 12

(C) 8

(D) 4

2 2 1 litres of oil. It is then filled with 37 litres of oil. Later, 56 litres of 5 3 9 oil is pumped out from the tank. What is the volume of oil left in the tank in litres ?

26. An oil tank contains 30

(A) 11

43 45

(B) 12

43 45

(C) 37

8 3

(D) 18

4 45

27. If (k – 8) is the highest common factor of 56 and 77, then the value of k is _____.

(A) 7

(B) 11

(C) 15 SPACE FOR ROUGH WORK


(D) 16

6

5th IMO - 2011

28. The number of edges in the given figure is ____.

(A) 8 (C) 10

(B) 9 (D) 11

29. The Hindu-Arabic numeral form for XCCMXCIX is _______. (A) 1099 (B) 9099 (C) 1089

(D) 999

30. Estimate the sum of (21397 + 42505) to nearest thousand. (A) 64000 (B) 65490 (C) 70000

(D) 92000

31. Which of the following numbers is divisible by 9? (A) 9076185 (B) 92106345 (C) 10349576

(D) 95103476

32. Find the value of –12 – (– 48) – [(–13) + (–8) – (–3) + 4]. (A) –48 (B) 50 (C) –12

(D) 62

33. Which of the following has fractions in ascending order ?

(A)

2 3 7 9 8 , , , , 3 5 9 11 9

(B)

3 2 7 9 8 , , , , 5 3 9 11 9

(C)

8 9 7 2 3 , , , , 9 11 9 3 5

(D)

8 9 7 3 2 , , , , 9 11 9 5 3

34. Find the value of X in the given expression.

(A) 179.57

832.58 – 242.31 = 779.84 – X (B) 199.57

(C) 295.05

(D) 189.57

Direction (Q. 35-36) : Look at the bar graph and answer the following questions.

35. In which month only 15 cars were sold ? (A) January (B) February

(C) April



(D) May

7

5th IMO - 2011 36. How many cars were sold in the last quarter of the year? (A) 280 (B) 130 (C) 140

(D) 105

37. The length of a rectangular hall is 5 metres more than its breadth. If the breadth of the hall is 25 metres, then area of the hall is _______.

(B) 225 m2

(A) 150 m2

(C) 750 m2

(D) 850 m2

38. How many minimum squares must be shaded to make the given figure symmetric ?

(A) 1

(B) 2

(C) 3

(D) 4

39. Which of the following is an ISOSCELES triangle ? X

C

(B)

5c m

5 4 cm

Y

m

B

5c

cm

(A)

4.2

cm

A

5 cm

Z

(C)

(D)

40. Count the number of line segments. A

(A) 8

(B) 12

B

C

D

E

(C) 10

(D) 13

Section III : Everyday Mathematics 1 hour and 1 hour 2 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together

41. Four different electronic devices make a beep after every 30 minutes, 1 hour, 1 at _____.

(A) 12 midnight

(B) 3 a.m.

(C) 6 a.m.

(D) 9 a.m.

42. Armaan was asked to multiply a number by 25. Instead he multiplied the number by 52 and got the answer 324 more than the correct answer. The number to be multiplied was _____.

(A) 12

(B) 15



(D) 32

8

5th IMO - 2011

43. If one-third of a tank holds 80 litres of water, then the quantity of water that half of the tank holds is ____.

(A)

80 litres 3

(B) 100 litres

(C) 120 litres

(D) 240 litres

44. In a class of 50 students, 15 are girls. 5 girls and 2/7 of the boys were chosen to play a match. The total number of students chosen to play a match is _______.

(A) 12

(B) 15

(C) 19

(D) 25

45. The number of girls in a class is 5 times the number of boys. Which of the following cannot be the total number of children in the class ?

(A) 24

(B) 30

(C) 35

(D) 42

46. A lady parked her car on the 6 th floor and took a lift up 17 floors to the Finance Department. She then went down 9 floors to the Tax Department. On which floor would you find the lady?

(A) 14th

(B) 15th

(C) 23rd

(D) 26th

47. Smriti bought 19 boxes of sweets. Each box contains 228 sweets. How many sweets would be left with her after giving 519 sweets to friends ?

(A) 766

(B) 3,813

(C) 4,332

(D) 4,851

1 3 of her holiday homework on Monday and of it on Tuesday. How much of her 5 4 holiday homework did Avni complete in the two days?

48. Avni completed

(A) 1

(B)

4 9

(C)

3 20

(D)

19 20

49. Pia, Ridhi and Muskaan divided 11.775 kg of wheat flour equally among themselves. Pia used all her wheat flour equally to bake 5 chocolate cakes. How much wheat flour did each cake need ?

(A) 0.665 kg

(B) 3.92 kg

(C) 0.875 kg

(D) 0.785 kg

50. If the temperature of City A is –20° C and the temperature of City B is 10°C, the difference in the temperatures of the two cities is _____.

(A) –30°C

(B) –10 °C

(C) 10 °C SPACE FOR ROUGH WORK


(D) 30°C

Class 6 6th

SET A Year 2012


2

6th IMO - SET A Section I : Logical Reasoning

1.

Read the following information to answer the given question.

(i) Eight persons E, F, G, H, I, J, K and L are seated around a square table-two on each side.

(ii) There are three female members and they are not seated next to each other.

(iii) J is between L and F.

(iv) G is between I and F.

(v) H, a female member, is second to the left of J.

(vi) F, a male member, is seated opposite to E, a female member.

(vii) There is a female member between F and I.

Who among the following are the three female members?

(A) E, H and G

(B) E, G and J

(C) G, H and J

(D) None of these

2. If FORGE is written as FPTJI, how will CULPRIT be written?

(A) CSJNPGR

(B) CVMQSTU

(C) CVNSVNZ

(D) CXOSULW

3.

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

Problem Set

? (i)

4.

(A)

(B)

(ii)

(iii)

(C)

(iv)

(D)

In the given question there are four figure (A), (B), (C) and (D). Out of these four figures, three are similar in a certain way. However, one figure is not like the other three. Choose the figure which is different from the rest.

(A)

(B)

(C)

(D)

5. If '+' means '÷', '×' means '–', '–' means '×' and '÷' means '+' then what is the value of given below statement? 38 + 19 – 16 × 17 ÷ 3

(A) 18

(B) 17

6.

Five boys participated in an education competition.

(i) Arsh ranked higher than Samay.

(ii) Samay ranked higher than Pratik.

(iii) Arsh ranked lower than Nikhil.

(iv) Kabir ranked between Arsh and Samay.

Who ranked the highest?

(A) Nikhil

(B) Arsh

(C) 16

(C) Samay


(D) 12

(D) Kabir

3

6th IMO - SET A 7.

Find out from the options which is the mirror-image of the Fig.(X), if mirror is placed along MR. (A)

M

(B)

Fig.(X)

8.

(C)

(D)

R

Which number comes next in the given series?

5, 9, 17, 29, 45, (B) 68

(?)

(A) 65

(C) 70

(D) 60

9.

Gautam has to cross seven lanes to reach his school. He finds that Yellow lane is between his house and Cama lane. Apple street is third from his school. Petrol lane is third from the house. He has to cross Ash lane last. Cama lane is between Yellow lane and Petrol lanes. Rao street is sixth from his house. Which lane is between Park lane and Rao Street?

(A) Yellow lane

(B) Cama lane

(C) Apple street

(D) Petrol lane

10. If the English alphabet is written in reverse order and then every alternate letter starting from Y, is deleted, then which letter will be exactly in the middle?

(A) M

(B) O

(C) N

(D) M or O

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

(A)

(C)

(B)

(D)

? Fig.(X)

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

(A)

(B)

Fig.(X)

(C)

(D)

13. Which of these options is same as that of Fig.(X)?

(A)

(C)

C

×+

A C

C

×+

A C

C

(B)

A

×+ C

C

C

(D)

×+

A C


×+

A C Fig.(X)

4

6th IMO - SET A

14. Starting from the point X, Jayant walked 15 m towards West. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right and walked 12 m. How far and in which direction is now Jayant from point X?

(A) 32 m, South

(B) 47 m, East

(C) 42 m, North

(D) 27 m, South

15. Find the figure from the options which will continue the series established by problem figures.

(A)

(B)

Problem Figures

?

(C)

(D)

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

(A) STORE

(B) ROAST

(C) MOTOR

(D) GRAPHS

17. If 'cuckoo' is called 'parrot', 'parrot' is called 'blackbird', 'blackbird' is called 'stork', 'stork' is called 'crow', 'crow' is called 'heron', 'heron, is called 'gander'; then what is the name of green bird?

(A) Parrot

(B) Blackbird

(C) Heron

(D) Gander

18. If all the numbers are arranged in descending order on the basis of the sum of all the three digits of each group, then which group of the numbers will be just in the middle?

123, 345, 567, 789, 914, 234, 456 (A) 234

(B) 567

(C) 345

(D) 914

19. Some letters are given which are numbered 1, 2, 3, 4 and 5. Below are given four options containing combinations of these numbers. Find that combination of numbers so that letters arranged accordingly form a meaningful word. C H A T W

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

1

2

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

3

4

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

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

20. Which number will replace the question mark?

(A) 30

(B) 13

(C) 70

(D) 118

15 12 44 28 64 3

8

53

?

Section II : Mathematical reasoning 21. Neha is getting ready for the state assessment, and is planning mini-lessons for students focused on particular difficulties that they are having with adding columns of numbers. To target her instruction more effectively, she wants to work with groups of students who are making the same kind of error, so she looks at a recent quiz to see what they tend to do. She sees the following three student mistakes.

Which have the same kind of error?

(A) I and II

(B) I and III

(C) II and III

(D) I, II and III

(I)

1

38 49 + 65 142


(II)

1

45 37 + 29 101

(III)

1

32 14 + 19 64

5

6th IMO - SET A 22. This graph shows the number of people who used the

Number of People (in millions)

Internet each year in India from 1997 to 2003. Based on the information in the graph, between which two

(A) 1998 and 1999

(B) 2001 and 2002

(C) 2002 and 2003

(D) 1997 and 1998

19 9 19 7 9 19 8 99 20 00 20 0 20 1 02 20 03

years did the smallest increase occurs?

Internet Use

180 160 140 120 100 80 60 40 20 0

Years

23. Which of the following represents the fraction of Figure X that is shaded?

1 2 4 (C) 5

2 3

(B)

(A)

(D) 5 9

Figure X

I

24. Raghav drew the line segments shown here on a piece of paper.

Which of the following pairs of line segments appears to be perpendicular?

(A) GH and KL

(B) GH and IJ

(C) EF and KL

(D) EF and GH

F H

K

L E J

G

25. Which of the following three-dimensional shapes has 1 rectangular face and 4 triangular faces?

(A) Rectangular pyramid (B) Triangular pyramid

(C) Rectangular prism

(D) Triangular prism

26. Siddharth is ordering these decimals 0.40, 0.350, 0.200, 0.03.

Which number line shows these decimals in the correct order? (Number lines are not drawn to scale.)

(A)

(C)

0

0.03

0.40

0.200 0.350 1

0

0.03 0.200 0.350 0.40

1

(B) (D)

0

0.03

0.200 0.40

0

0.200 0.03

0.350 1

0.350 0.40

1

27. Represent the following expression algebraically. A number, x, decreased by the sum of 2x and 5.

(A) (2x + 5) – x

(B) x – (2x + 5)

(C) x – 2x + 5

(D) (x + 2x) – 5

28. A prime number can best be described as ______.

(A) A number with exactly 2 factors

(B) Always an odd number

(C) A number with more than 2 different factors

(D) Always an even number

29. Which of the following shows a reflection of the figure(X) across the RS ? R

(A)

(B) Q

P S R

P

P

Q S

R

(D)

(C) Q

P

R

R

S

P

Q S


S Figure(X)

Q

6

6th IMO - SET A

30. A hot air balloon was 150 feet in the air. The distances it moved down and up, in feet, are shown in this list. –

–

How high in the air is the hot air balloon after moving these distances?

(A) – 420 feet

(A) 81.83

1 3 − 9 + 8.4 ÷ 0.02 3 5 (B) 420.73

(C) 180 feet

(D) 420 feet

(C) 422.73

(D) 42.273 2.5 cm

32. Find the area of the given figure. (Figure not drawn to scale)

(A) 12.5 cm2

(B) 42.5 cm2

(C) 32.5 cm

(D) 10 cm

A

F

15 cm

5 cm

31. Evaluate 12

(B) –180 feet

E

1 cm 1 cm

H G D

2

B

2

2.5 cm

C

33. Which word describes the boxed number? 8 x=y

(A) Coefficient

(B) Equation

(C) Term

(D) Variable

34. Fill in the blank : A number for which sum of all its factors is equal to _______ the number is called perfect number.

(A) Twice

(B) Thrice

(C) Four times

(D) Square

35. Solve the following Roman numerals.

LIX + XXXVI + IX + XC – LX (A) CXXXXVI

(B) CXXXLIV

(C) CXXVII

(D) CXXXIV

36. Find the lowest natural number which when divided by 112, 140 and 168 leaves a remainder 8 in each case.

(A) 1440

(B) 1688

(C) 720

(D) 1672

37. By joining any two points on the circumference of a circle, we obtain a ________.

(A) Diameter

(B) Chord

(C) Radius

(D) Circumference

(C)

(D)

38. Which of the following shows a symmetric figure?

(A)

(B)


7

6th IMO - SET A 39. Which of the following fractions is smaller than

(A)

1 4

5 ? 9

(B) 11 13

5 7

(C)

6 7

(D)

40. Express 12 sec as a percentage of 3 mins 20 sec.

(A) 6%

(B) 3.75%

(C) 60%

(D) 37.5%

Section III : Everyday Mathematics 41. At the store, Mini paid ` 8.74 for seven oranges. At this rate, how much will she pay for 24 oranges?

(A) ` 32.84

(B) ` 29.96

(C) ` 19.86

(D) ` 24.38

2 42. Students are decorating a rectangular bulletin board that measures 8 1 m by 4 m. What is the 3 4 area of the bulletin board, in square metres?

5 (A) 25 sq. m 6

1 (B) 30 sq. m 3

(C)

32

1 sq. m 6

(D)

38

1 sq. m 2

43. A little more than 75% of the students in Mr. Ayaan's sixth-grade class raised money for the "Save the Rain Forest" project. There are 32 students in Mr. Ayaan's class. About how many students raised the money?

(A) 26

(B) 23

(C) 32

(D) 43

44. At the beginning of the month, Latika had a balance of ` 22580 in her bank account. During the month she made deposits of ` 18250 and ` 27390. She withdrew ` 898, ` 1120 and ` 18295 to clear her bills. What was the new balance in her bank account at the end of the month?

(A) ` 12345

(B) ` 58659

(C) ` 47807

(D) ` 47907

45. A grocery store sign indicates that 6 bananas are for ` 35.50, and a sign indicates that 5 oranges are for ` 58.70. Find the total cost of buying 2 bananas and 2 oranges.

(A) ` 28.96

(B) ` 12.84

(C) ` 35.3

46. Divya and Megha collected newspapers for recycling. Divya collected 5

(D) ` 48.5 3 grams of newspaper. Megha 7

1 grams of newspaper. What was the total amount of newspaper they collected? 4 18 19 1 grams grams (A) 8 grams (B) 8 grams (C) 7 (D) 7 28 28 2

collected 2

47. Rohan, Amit and Kartik walk around a circular path. Their steps measure 24 cm, 30 cm and 36 cm respectively. How much distance will they cover from the starting point so that they meet again?

(A) 380 cm

(B) 400 cm

(C) 360 cm


(D) 350 cm

8

6th IMO - SET A

48. A tin of oil was

4 full. When six bottles of oil were taken out and four bottles of oil were poured 5

into it, it was 3 full. How many bottles of oil can the tin contain? 4 (A) 40 (B) 30 (C) 70

(D) 80

49. How many students in a class of size 10 m by 6 m can be made to sit, if each student occupies 1.2 sq metres of floor area?

(A) 50

(B) 60

(C) 30

(D) 90

50. A book of 1,456 pages has 9,95,904 words in it. The number of words in each page is _______.

(A) 584

(B) 684



(D) 595

Class 6 6th

SET B Year 2012


2

6th IMO - SET B

Section I : Logical Reasoning 1. Three of the following four are alike in a certain way and so form a group. Which is the one that

does not belong to the group? (A) Editor (B) Doctor

2.

Find the next number in the number pattern below.

(C) Author

(D) Proof-reader

16, 20, 40, 44, 88, 92, 184, ___ ?__ (B) 188 (C) 186

(A) 189

(D) 190

3.

Find the mirror image of Fig. (X) from amongst the given options, if the mirror is placed vertically on the left.

(A)

(B)

(C)

(D)

4. Two positions of the same dice has been shown here. Study their positions and answer the given question. If number 6 be on the top what digit will be at the bottom? (A) 1 (B) 3 (C) 4 (D) 5 5.

Reverse the following sequence of the English alphabets and then answer the following question.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Which alphabet is 9 (A) X

th

6.

Mohit is older than Rajesh and Raman. Namit is older than Rajesh but younger than Rajeev. Raman

is older than Rajeev. Who among them is the oldest ? (A) Rajeev (B) Rajesh (C) Mohit

to the left of 24th alphabet from the left end in the new series? (B) C (C) O (D) L

(D) Namit

7. Atul walks 20 metres towards south. Turning to the left he walks 30 metres, then turning right he walks 10 metres, then turning right he walks 40 metres, then turning right he walks 30 metres and

stops. In which direction is he with respect to his starting point ? (A) South-west (B) West (C) North-west

(D) North

8. If 2 is subtracted from the middle digit of each of the following numbers and then the positions of the digits are reversed, which of the following will be the last digit of the middle number after they are arranged in descending order?

489 362 154 271 542 (A) 5

(B) 4

(C) 2

(D) 3

9. If PEOPLE is coded as MHLSIH, how is TREND coded ?

(A) QUAMS

(B) QUBQA

(C) TNERD


(D) TRDEN

3

6th IMO - SET B 10. Which of the following option figures will complete the fig. (X) ?

(A)

(B)

(C)

(D)

11. Which number should replace the question mark ?

5 12 15 7

9

4

12 21 ?

(A) 14

(B) 15

(C) 19

(D) 17

12. Select a figure from the options which will continue the series established by the Problem Figures.

(A)

(B)

(C)

(D)

13. If signs ‘+’ and ‘×’ are interchanged; numbers ‘2’ and ‘5’ are interchanged, then which of the

following expressions is true ? (A) 20 × 20 + 50 = 133 (B) 20 + 20 × 50 = 2880

(C) 20 + 50 × 50 = 1020 (D) 50 + 50 × 20 = 400

14. Pointing to a man in a photograph, Megha said, 'His mother's only daughter is my mother'. How

is Megha related to that man? (A) Nephew (B) Niece

(C) Wife

(D) Sister

15. Find the missing figure of the given figure matrix.

(A)

(B)

(C)

(D)

16. Rearrange the following letters to make a single word and then choose the category to which it belongs. G F O R (A) City (B) Animal (C) Vegetable


(D) Person

4

6th IMO - SET B

17. How many triangles are there in the given figure?

(A) 12

(B) 13

(C) 14

(D) None of these

(Figure matrix)

18. The Figures (i) and (ii) of the problem figures bears a certain relationship. Similarly, one of the figures in the options bears the same relationship to the figure (iii) of the problem figures. Select the correct figure which would replace the question mark.

(A)

(B)

(C)

(D)

19. Which of the following diagrams correctly represents 'Body, Ear, Mouth' ?

(A)

(B)

(C)

(D)

20. In which of the following options, figure (X) is embedded as its part ?

(A)

(B)

(C)

(D)

section II : mathematical reasoning 21.

Which of the following decimals represents the shaded part in the given figure ? (A) 0.1 (B) 0.5 (C) 0.2 (D) 0.7

22. Which of the following set of numbers will make the number sentence true ?

÷ ________ + ________ = 12

________

(A) (6, 8, 12)

(B) (6, 8, 16)

6

8

(C) (16, 8, 10)


16

10

(D) (6, 8, 10)

5

6th IMO - SET B

23. There are three numbers A, B and C. A is double of B, C is 65 which is 17 less than A. What is

the value of B ? (A) 41

(B) 40

(C) 36

(D) 42

24. Match the Roman numerals given in Column-I with their correct Hindu-Arabic numerals given in Column-II. Column-I

Column-II

(a)

MDCLXX

(p)

1222

(b)

MMDCCII

(q)

1670

(c)

MCCLXVI

(r)

1266

(d)

MCCXXII

(s)

2702

(A) (a) - (q), (b) - (r), (c) - (s), (d) - (p) (C) (a) - (q), (b) - (p), (c) - (s), (d) - (r)

(B) (a) - (q), (b) - (s), (c) - (r), (d) - (p) (D) (a) - (q), (b) - (s), (c) - (p), (d) - (r)

25. What is the perimeter of the shaded area in the given figure ?

(A) 18 units

(B) 19 units

(C) 16 units

(D) 9 units

26. How many pairs of parallel lines are there in the given figure?

(A) 2

(B) 4

(C) 3

(D) 5

27. The expression 6(b + c) is equivalent to 6b + 6c, uses the ______ property.

(A) Commutative

(B) Closure

(C) Distributive

(D) Identity

28. What should be placed in place of ‘?’ so that the sum of fractions on each side of the triangle is same ?

7 15 6 (C) 15

(A)

9 15 10 (D) 15

(B)

29. What is the least number of squares that must be added so that the line MN becomes a line of symmetry?

(A) 5

(B) 6

(C) 4


(D) 8

6

6th IMO - SET B

30. The given diagram is in the shape of a semi-circle. Which of the following options shows a right angle ?

∠PWT

(B)

∠PWM

(C)

∠MWT

(D)

∠PWS

(A)

Direction (31 & 32) : The line graph shows the number of desktop and notebook computers sold at Beena's electronic store from September to December.

31. How many more desktop than notebook computers did the store sell in October ? (A) 120 (B) 100 (C) 75 (D) 85 32. What fraction of the computers sold in December were desktop computers ?

(A)

2 5

(B)

3 5

(C)

4 5

(D)

3 2

33. Find the sum of the given expression.

(–172) + (–40) + 5 + (–425) + (–275) + 600 –(–15) (A) 315

(B) –21

(C) 40

(D) –292

34. Which of the following statements is incorrect?

(A) Each angle of a rectangle is a right angle. 1 of a revolution. (B) A straight angle is 2 (C) A reflex angle is larger than an acute angle. (D) The perpendicular bisector of a line segment is a perpendicular to the line segment that divides it into two parts.

35. Replace * by the smallest digit so that 2315016* is divisible by 8. (A) 1 (B) 0 (C) 3

(D) 2

36. Write the following statement using arithmetical numbers, literal numbers and arithmetical

operations. (A) 3lm + 17

'17 more than 3 times the product of two numbers l and m' (B) 3lm – 17

(C)

3 lm 17


(D) 17

× 3 (l + m)

7

6th IMO - SET B 37. Find the area of the unshaded part of the figure. 2 cm

6 cm

(A) 45 sq. cm

(B) 52 sq. cm

10 cm 4 cm 8 cm

(C) 68 sq. cm

(D) 78 sq. cm

38. Which of the following numbers when rounded off to the nearest hundred gives 15900?

(A) 14955

(B) 14999

(C) 15086

(D) 15899

39. 8 tenths less than _______ is sum of 4.56 and 3.85.

(A) 4.568

(B) 9.21

(C) 5.36

(D) 12.56

40. A ____ of a circle is a region in the interior of the circle enclosed by an arc and a chord.

(A) Sector

(B) Diameter

(C) Centre

(D) Segment

Section IIi : everyday mathematics 41. A shopkeeper has 150 litres of oil in a drum. He sells 15 L 500 mL, 23 L 250 mL, 13 L 750 mL and

29 L oil to four customers. How much oil is now left in the drum ? (A) 77 L 50 mL (B) 875000 L (C) 68 L 500 mL

(D) 975000 L

42. Two ropes 16 m and 20 m long are to be cut into small pieces of equal lengths. What will be the

maximum length of each piece ? (A) 80 m (B) 5 m

(C) 24 m

(D) 4 m

43. Rohan travelled 25 km North and Amit travelled 89 km South from the same point. Find the distance

between the final destination of the two. (A) 114 km (B) 64 km

(C) 84 km

(D) –114 km

44. Four families went on a picnic. Each family carried a cake for picnic. 3 of each cake was eaten. 4 How much cake was eaten in all ? 3 9 (B) 3 (C) (D) 1 (A) 8 12 45. Samay sold 50 wrist watches and 30 pens. If cost of each wrist watch is ` 325.85 and each pen

is ` 6.27, what is the total cost of wrist watches and pens sold ? (A) ` 13289.25 (B) ` 16480.6 (C) ` 15843.5

(D) ` 1684.56

46. Sumit secured 10 marks more than Priya. If Priya secured 'x' marks, then the marks secured by

Sumit is ______. (A) x – 10

(B) 10 – x

(C) x + 10

(D) x × 10

47. Aarav filled his car petrol tank with 30 litres of petrol on Monday. The next day, he filled the tank

with 25 litres of petrol. If the petrol costs ` 52 per litre, how much did he spend in all on petrol ? (A) ` 55 (B) ` 6820 (C) ` 2860 (D) ` 189

48. In a morning walk, Garima, Latika and Prerna step off together. Their steps measure 50 cm, 65 cm and 75 cm respectively. What is the minimum distance each should walk so that all can cover the

same distance in complete steps? (A) 1595 cm (B) 1955 cm

(C) 1185 cm


(D) 1950 cm

8

6th IMO - SET B

49. In a quiz show, a team scored the following scores :

–30, 20, 5, –10, 0, –20, 10

The total score of the team is ______. (A) –25 (B) 35

(C) 10

(D) 25

50. Rishab had a ` 1000 note. He bought a geometry box for ` 64.75, a packet of pencil colours for

` 52.89 and 2 books for ` 300 each. How much amount was left with him ? (A) ` 285.86 (B) ` 582.36 (C) ` 588.56 (D) ` 282.36 SPACE FOR ROUGH WORK


Class 6 7th

SET A Year 2013


2

7th IMO - Set A

logical reasoning logical reasoning 1.

Two positions of a dice marked (A, B, C, D, E, F) are shown below. Which letter will be on the face opposite to the face with A?

A. B. C. D.

2.

Identify the two figures which are out of position/ place and requires interchanging of position to put the entire series in order.

3.

A. B. C. D.

D.

E D B C

C.

6.

Ritesh is son of Varun. Sarika, Varun's sister has a son Rahul and a daughter Riya. Sahil is the maternal uncle of Rahul. How is Ritesh related to Rahul? A. Nephew B. Cousin C. Uncle D. Father

7.

Select the correct mirror image of the Figure (X).

A.

B.

Q and R S and T R and P P and S

If the first three letters of the word 'anthropologistS' are written in reverse order, followed by the next four letters written in reverse order, followed by next eight letters written in reverse order, which letter will come exactly in the middle? A. T B. H C. S D. O

C.

4. If 687 + 509 = 560897, then 619 + 703 = ?

A. B. C. D.

760931 760891 760139 760193

5.

Identify the figure from the options in which shape (X) is exactly embedded as one of its part.

D. 8.

A.

B.

Which of the following Venn diagrams correctly depicts the relationship among "Yak, Zebra, Bear"? A.

B.

C.

D.


3

7th IMO - Set A 9.

Which of the following options will complete the pattern in Figure (X)?

B.

C.

D.

13. How many flowers will be there in Pattern 6?

A.

A.

B.

C.

D.

10. How many unit cubes were removed from the solid on the left to obtain the solid on the right?

A. B. C. D.

11. Find the missing number in the number pattern given below.

A. B. C. D.

51 76 45 38

14. Consider the figures X and Y showing a sheet of paper folded and punched in figure Z. Select the figure, which will most closely resemble the unfolded form of figure Z.

24 28 26 30

A. B. C. D.

A.

B.

C.

D.

15. Which of the following diagrams satisfies the condition of placement of dot as in the given Figure (X)?

810 892 576 816

12. Which of the following cubes cannot be formed using the net?

A. C.


B. D.

4

7th IMO - Set A

16. Minimum number of straight lines required to draw the given figure is ______.

A. B. C. D.

19. Select the figure from the options that will replace the question mark(?) in problem figure and continue the pattern.

19 17 18 16

17. In the given series, how many pairs of alternate numbers have a difference of 2? 641228742153862171413286 A. One B. Two C. Three D. Four 18. In the given question, a series of small letters which follows a pattern where some letters are missing is given. Find the missing letters so that a proper sequence of letters are formed. ab __ __ __ b __ bbaa __ A. abaab B. abbab C. baaab D. babba

A.

B.

C.

D.

20. If 3 × 6 = 18; 4 × 7 = 22; 9 × 1 = 20, then 5 × 2 = ?

A. B. C. D.

7 10 14 3

MATHEMATICAL REASONING 21. Select the correct match.

A. B. C. D.

LXV = 75 LXIX = 79 XCVIII = 98 LXXX = 90

22. Express the number of storybooks that Mohit read in December as a fraction of the total number of storybooks read in four months.

C.

1 3

D.

2

23. Which of the following numbers is completely divisible by 3?

A. B. C. D.

297149 1790184 6392105 901352

24. The given figure is made up of 10 squares of the same size. The perimeter of the figure is 80 cm. Find the area of the figure.

A.

1

B.

1 2

A. B. C. D.

250 150 280 190

cm2 cm2 cm2 cm2


5

7th IMO - Set A 25. Which of the following figures has/have at least one line of symmetry ?

A. I and II B. I and III C. II and III D. I, II and III

4 26. What must be added to the product of 2 and 3 to 7 5 make 21 ? 14 9 A. 13 12 9 B. 12 14 9 C. 13 14

27.

D.

15

11 14

2 1 of the books in a box are English books, are 3 4 Maths books and the rest are Science books. What fraction of the books are Science books?

A.

B.

C.

D.

2 1 − 3 4 2 1 × 3 4 2 1 1−  +  3 4

A. B. C. D.

: : : :

10 45 45 45

am pm am am

60 mL 80 mL 300 mL 400 mL

30. Machine P can shred 12 sheets of paper in 15 seconds. Machine Q can shred 18 sheets of paper in 20 seconds. Which machine can shred more sheets of paper in one minute and by how many more?

A. B. C. D.

Machine Machine Machine Machine

P, 6 sheets Q, 6 sheets P, 8 sheets Q, 8 sheets

31. Fill in the blanks: Every natural number has a _____ except _____ and has a _____.

A. B. C. D.

Successor, 0, predecessor Successor, 1, predecessor Predecessor, 0, successor Predecessor, 1, successor

32. Which of the following diagrams correctly describes the factors of 15 and 12?

B.

C.

2 1 1−  −  3 4

2 4 4 2

A. B. C. D.

A.

28. Priya drove from town P to town Q. She took 14 hours 35 minutes for the journey. The clock shows the time she arrived at Town Q in the afternoon. When did she set off from Town P?

29. The ratio of the volume of water in Bottle P to the volume of water in Bottle Q is 3 : 4. Rajeev drank 40 mL of the water from Bottle P and the ratio then became 13 : 20. How much water was there in bottle P at first?

D.

33. Select the incorrect match.

A.

One pair of parallel side –

B.

Parallelogram with 4 right angles

– Rectangle

C.

Parallelogram with 4 sides of equal length

– Rhombus

D.

A rhombus with 4 right angles

– Kite


Trapezium

6

7th IMO - Set A

34. Which of the following statements is correct?

A. B. C. D.

14 tenths 4 thousandths = 0.144 2 tenths 13 hundredths = 0.213 4 hundredths 2 tenths = 0.024 7 tenths 17 hundredths = 0.87

35. The fractional number corresponding to the given number "9 tens + 5 ones + 3 tenths + 7 hundredths" is ______.

A.

B.

C.

D.

9437 100 9537 100 9000 100 9637 100

EVERYDAY MATHeMATICS 36. 45% of Garima's savings is the same as 25% of Latika's savings. What is the ratio of Garima's savings to Latika's savings?

41. Dinesh joined 2 squares of area 81 cm2 and 36 cm2 together. What is the perimeter of the new figure now?

A. B. C. D.

5 9 9 1

: : : :

9 5 20 4

37. On Monday, there were thrice as many peanuts in Sack X as Sack Y. On Tuesday, 3952 peanuts in Sack X were sold. Now there were thrice as many peanuts in Sack Y as Sack X. How many peanuts were there in Sack X at first?

A. B. C. D.

4644 6644 4446 4466

38. Zarrin collected 1346 eggs. 38 of them were broken. She sold the rest at ` 8 each. What was the total collection from her sale of the eggs?

A. B. C. D.

16084 10684 10195 10464

39. Beena bought 12 kg of sugar. After filling 11 containers of the same size, she had 3.2 kg left. How much sugar was there in each container?

A. B. C. D.

0.5 0.6 0.7 0.8

kg kg kg kg

40. Cost of a toffee is 50 paise and cost of a chocolate is ` 10, then the ratio of the cost of toffee to the cost of a chocolate is _______.

A. B. C. D.

5 : 1 1 : 20 1:5 20 : 1

A. B. C. D.

45 48 54 60

cm cm cm cm

2 times as tall as Vansh. If Mayank is 5 38 cm taller than Vansh, what is Mayank's height?

42. Mayank is 1

A. B. C. D.

133 cm 123 cm 95 cm 129 cm

43. Three boys and four girls shared 198 sweets. Each girl received twice as many sweets as each boy. How many sweets did each girl receive?

A. B. C. D.

36 18 24 30

44. Meeku fenced up a square area. He used 100 poles on each side of the square. How many poles did he use altogether?

A. B. C. D.

400 398 394 396

45. Mrs. Khan had m eggs. She used 5 eggs to bake a cake and gave 6 eggs to her neighbour. How many eggs had she left?

A. B. C. D.

(m + 11) eggs (11 – m ) eggs (m – 11) eggs (11 + m) eggs


7

7th IMO - Set A

Achievers section 46. Find P, Q, R and S respectively. A square pyramid has Faces :

Q

Edges :

R

Corners :

A. B. C. D.

P

49. Find the correct match.

base,

Length of rectangle (cm) 25 18

S

Square, 4, 10, 5 Rectangle, 5, 10, 5 Square, 5, 8, 5 Rectangle, 6, 10, 5

47. Which of the following is true? Statement I : A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except 1. 686 3 is . 1715 5 and statement II both are true. is false and statement II is true. is true and statement II is false. and statement II both are false.

Statement II : Simplest form of

A. B. C. D.

Statement Statement Statement Statement

I I I I

48. Fill in the blank: A ____ of a circle is a region in the interior of the circle enclosed by an arc and a chord.

A. B. C. D.

Sector Radius Segment Area

A. B. C. D.

P 12 12 12 42

Breadth of rectangle (cm) P R Q 74 15 74 15

Area (cm2)

Perimeter (cm)

300 S

Q 66

R 15 74 15 270

S 207 270 270 74

50. Match the Column-I with Column-II. If a, b, c, are whole numbers, then (i)

Column-I a + b = b + a (a) (ii) (a + b) + c (b) = a + (b + c) (iii) a × (b + c) (c) = a × b + a × c (d)

A. B. C. D.

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

→ → → →

(c); (ii) → (d); (b); (ii) → (c); (a); (ii) → (b); (b); (ii) → (c);



(iii) (iii) (iii) (iii)

Column-II Distributivity of multiplication Commutativity under addition Associativity of addition Commutativity under multiplication → → → →

(a) (d) (c) (a)

Class 6 7th

SET B Year 2013


2

7th IMO - Set B

logical reasoning 1.

I am standing at the centre of a circular field. I go down south to the edge of the field and then turning left I walk along the boundary of the field equal to three-eighths of its length. Then I turn west and go right across to the opposite point on the boundary. In which direction I am from the starting point?

A. B. C. D.

2.

Select the venn diagrams which represents the relation amongst the following

A.

B.

C.

D.

3.

Select a figure from amongst the options which will continue the same series as established by the five problem figures.

A.

B.

C.

D.

4.

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

A.

B.

C.

D.

5.

In the following question, a set of figures carrying certain characters, is given. Assuming that the characters in each set follow a similar pattern, find the missing character.

A. B. C. D.

6.

If 3 is subtracted from the middle digit of each of the following numbers and then the positions of the digits are reversed, then which of the following will be the last digit of the middle number after they are arranged in descending order? 589, 362, 554, 371, 442 A. 1 B. 2 C. 3 D. 4

North west North South-west West

"Whole numbers, Integers, Decimal numbers"?

21 25 35 45


3

7th IMO - Set B 7.

Which would be the proper order of the following (in ascending order)?

(a) (b) (c) (d) (e) A. B. C. D.

8.

The minimum number of straight lines required to make the given figure is ________.

Trillion Thousand Billion Hundred Million a, b, d, c, e a, e, c, b, d d, b, c, e, a d, b, e, c, a

A. B. C. D.

9.

Select the figure from the options which will continue the same series as established by the problem figures.

A.

B.

C.

C.

D.

20 25 27 19

Shape (X)

A.

B.

C.

D.

12. How many unit cubes were added to the solid on the left to obtain the solid on the right?

A. B. C. D.

B.

28 29 30 31

13. Some symbols are represented by letters as shown below :

Figure (X)

D.

A.

10. Select the correct mirror image of Figure (X).

11. Select the figure from the options in which the given shape (X) is exactly embedded as one of its part.

+

–

×

÷

=

>

<

B

G

E

C

D

A

F

Then, which of the following expressions is true?

A. B. C. D.

18 C 3 D 6 B 8 C 4 G 12 18 A 3 E 6 B 8 G 4 B 12 18 C 3 G 6 B 8 B 4 D 12 18 F 3 B 6 E 8 G 4 E 12


4

7th IMO - Set B

14. Which of the following options completes the figure matrix?

A.

A.

B.

C.

D.

B.

C.

D.

17. Which of the following options will complete the given figure pattern?

15. The given question consists of a set of three figures X, Y and Z showing a sequence of folding of a piece of paper. Figure (Z) shows the manner in which the folded paper has been cut. Choose a figure which would most closely resemble the unfolded form of sheet of paper.

A.

B.

C.

D.

A.

B.

18. Select a figure from the options which will exactly make up the key figure (X).

C.

Figure (X)

D.

16. Select a figure from the given options which do not satisfies the same conditions of placement of dots as in Figure (X).

A.

B.

C.

D.

Figure (X)


5

7th IMO - Set B 19. A meaningful word starting with A is made from the first, the second, the fourth, the fifth and the sixth letters of the word CONTRACT. Which of the following is the middle letter of that word?

20. If the first and second digits in the sequence 5981327438 are interchanged, also the third and fourth digits, the fifth and sixth digits and so on, which digit would be the seventh counting to your left?

A. B. C. D.

C O R T

A. B. C. D.

1 4 7 8

Mathematical reasoning 21. Which of the following represents the number line for operation 0 – (–2) – (–3)?

A.

B.

C.

D.

25. Factory W produces x units of mobile phones in y days. What are represented by W, x and y?

W

A. object B. object C. object D. unknown

x

y

unknown object unknown object

object unknown unknown unknown

26. What is the area of the shaded part in the figure below?

22. Which of the following statements is true?

A. B. C.

D.

1 is a prime number. 1 is neither a prime nor a composite number. A prime number will not have the number itself as one of its factors. A composite number will have only two factors.

23. Select the correct match of fractions of the unshaded part.

A.

B.

C.

D.

1 5 2 1 3 4 7 4 9 1

A. B. C. D.

16 24 32 48

cm2 cm2 cm2 cm2

27. The given graph shows the sale of story books in a bookshop for the first 6 months.

24. The diagram below shows a list of decimals.

I. 53.760 II. 4.016 III. 2.63 IV. 0.06 Which are the highest and lowest decimals respectively?

A. B. C. D.

I and II II and III III and IV I and IV

In which month was the sale of story books 125% of the sale of books in June?

A. B. C. D.

February March April May


6

7th IMO - Set B

28. The given figure is formed by three squares. A, B, C and D are the mid-points of the sides of the big square. W, X, Y and Z are the mid-points of the sides of the medium square. The big square is of side 16 cm. Find the unshaded area.

32. The given figure shows 4 bars of different lengths. What is the length of the longest bar?

A. B. C. D.

16 46 64 72

cm2 cm2 cm2 cm2

A. B. C. D.

7.8 cm 8.2 cm 8 cm 8.1 cm

33. What is the ratio of the shaded area to the unshaded area?

29. What is the difference in place value between the digits 8 and 6 in the numeral 8962321?

A. B. C. D.

7994000 7904000 7960000 7940000

30. The line graph shows the weights of a beaker when empty and when different marbles are placed in it. What is the total weight of marbles A, B and C?

A. B. C. D.

700 800 400 500

31. Arrange the following numbers in ascending order.

5:7 3:4 7:10 7:3

34. The given figure is made up of 10 squares of the same size. The perimeter of the figure is 80 cm. Find the area of the figure.

g g g g

A. B. C. D.

A. B. C. D.

250 cm2 220 cm2 25 cm2 600 cm2

35. How many of the following letters have at least one line of symmetry?

0.9898, 0.8899, 0.9889, 0.8989

A. B. C. D.

0.9898, 0.8899, 0.8899, 0.8989,

0.9889, 0.8989, 0.8989, 0.8899,

0.8989, 0.9898, 0.9889, 0.9889,

0.8899 0.9889 0.9898 0.9898

A. B. C. D.

3 4 5 6

everyday Mathematics 36. 2500 metres of cotton cloth was made into 20 rolls of 30 m each and 25 rolls of 20 m each. Find the length of the remaining cloth in metres and how many rolls of 70 m can be made with the remaining cloth?

A. B. C. D.

700 m, 10 1400 m, 20 2100 m, 30 None of these


7

7th IMO - Set B 37. Vishal jogged round a rectangular field 4 times. If the rectangular field was 135 m long and 78 m wide, how far did Vishal jog?

A. B. C. D.

426 m 852 m 1278 m 1704 m

A. B. C. D.

60 80 160 280

39. Aunt A, Aunt B and Uncle C divided 11.775 kg of wheat flour equally among themselves. Aunt A used all her wheat flour equally to bake 5 chocolate cakes. How much wheat flour did each cake need?

A. B. C. D.

750 780 785 500

g g g g

40. Arun has ` 125 in his savings account. He withdraws a cheque of ` 117, makes a deposit of ` 45 and then withdraws another cheque for ` 69. Find the amount left in his account. (write the amount as an integer).

A. B. C. D.

` ` ` `

(–16) (16) (30) (–30)

41. A 29-inch colour TV set costs ` 532565 and a 21-inch model costs ` 318675. How much more does the bigger TV set cost (In `)?

A.

B.

C.

D.

One lakh thirteen thousand nine hundred and ninety Two lakhs twelve thousand eight hundred and ninety

1 of 42. A shopkeeper bought 50 kg of sugar. He sold the sugar. Find the weight of sugar that was left.4

38. A total of 500 pieces of sweets is to be divided among Radha, Ahmed and Krishna respectively in the ratio of 3 : 8 : 14. How many pieces of sweets will Radha get?

Two lakhs thirteen thousand seven hundred and ninety Two lakhs thirteen thousand eight hundred and ninety

A. B. C. D.

37.5 kg 37500 g 3 50 × kg 4 All of these

43. Goods weighing 132.95 kg were loaded in a lorry at the first station. At the second station goods weighing 34.980 kg were loaded. At the third station, goods weighing 98.85 kg were downloaded. What is the weight of the goods left?

A. B. C. D.

69.080 kg 69.80 kg 59.080 kg 57.650 kg

44. A piece of cloth 4 m in width and 5 m in length has to be covered by square block prints. If each side of the square block is 0.2 m in length, how many such squares can be printed on the cloth?

A. B. C. D.

700 690 806 500

45. Vineet measured the lengths of two bugs he found. The cricket was three-fourths of a unit long. The ant was one-eighth of a unit long. How much longer was the cricket than the ant?

A. B. C. D.

3/8 5/8 2/7 11/7

ACHIEVERS SECTION 46. Study the two statements carefully. Statement 1 : A natural number is divisible by 11 if the difference of the sum of digits at the alternative place (starting from unit’s place) is divisible by 11. Statement 2 : 19487171 is divisible by 11.

Which of the following options hold? A. Statement-1 is true and Statement-2 is false. B. Statement-1 is false and Statement-2 is true.

C. D.

Both the statements are true. Both the statements are false.


A.

B. C. D.

The symbol X can be subtracted from L, M and C only. V, L and D are never repeated. V, L and D are never subtracted. I or V is written to the left of L or C.


8

7th IMO - Set B

48. Match the column I and column II.

Column-I

Column-II

(i)

(a) 5 – 9

(ii)

(b) 4 – 8

(iii)

(iv)

A. B. C. D.

(c) – 3 + 6

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

→ → → →

(d) – 4 + 4

a; (ii) → c; (iii) → d; (iv) → b c; (ii) → a; (iii) → d; (iv) → b d; (ii) → c; (iii) → b; (iv) → a b; (ii) → d; (iii) → a; (iv) → c

49. Fill in the blank. The highest common factor (HCF) of __________. given numbers is the highest (or greatest) number of their common factors. A. Two B. One C. Two or more D. Zero 50. Which of the following statements is INCORRECT? 1 A. 5 hours is of a day. 6 B. Addition and multiplication are commutative for whole numbers. C. A triangle having all three unequal sides is called scalene triangle. D. A number with 4 or more digits is divisible by 8, if the number formed by last three digits is divisible by 8.



Class 6 8th

Set A Year 2014


2

8th IMO - Set A

logical reasoning logical reasoning 1.

P, Q, R, S and T are five friends sitting around a pentagonal park facing O as shown below. P R

Find the missing character in the given pattern. 5 4

Q

If P and T interchange their positions & Q and R interchange their positions, then which of the following is true?

A.

R is to the left of P.

B.

Q is second to the right of R.

C. D.

T is second to the left of P. S is to the right of T.

2.

Count the number of cubes in the given figure.

9

81 289 8 100 ? 8 4 6 10

S

O

T

5.

A. B. C. D.

164 324 224 364

6.

If F = 6 and LAMB = 7, then HOTEL = _____.

A. B. C. D.

7.

Find the missing figure so that the series formed by problem figures is continued. Problem Figures

72 60 12 18

?

A.

B.

C.

A.

3

B.

4

C. D.

5 None of these

3.

Arrange the following words in the sequence in which they occur in the dictionary.

D.

1. 3. 5.

Select Send Seller

8.

A.

1, 2, 4, 5, 3

B. C. D.

2, 1, 5, 4, 3 2, 1, 4, 5, 3 2, 5, 4, 1, 3

P, Q, R and S are playing cards. P, R and Q, S are partners. If Q is in the North of S and P is in the West of R, then the position of R with respect of S is ____.

4.

Using the below table, identify the correct expression.

A. B. C. D.

9.

Select the correct mirror image of given below combination, if the mirror is placed vertically to the left? ScIeNcEOLYMPIAD A. DAIPMYLOEcNeIcS B. C. D.

P +

2. Seldom 4. Selfish

Q –

R

S

÷

×

A.

17 Q 8 S 9 P 18 R 2 = 46

B.

18 S 30 R 6 Q 5 P 0 = 85

C. D.

27 Q 10 R 5 S 4 P 3 = –32 All of these

North-East North-West South North


8th IMO - Set A

3

10. Given below is the generation tree of X. He has ____ great grandsons. X S

A. B. C. D.

Y S

S

7 0 4 14

11. Identify the shape which is not exactly embedded in Figure (X).

A.

B.

C.

D.

13. Count the number of quadrilaterals of same size used to draw the given figure.

A. B. C. D.

9 8 10 18

14. What is the sum of numbers which belongs to only two figures in the given Venn diagram?

Figure (X)

8 12

12. Given below is a set of three figures X, Y, Z showing a sequence of folding of a piece of paper. Fig. (Z) shows the manner in which the paper has been cut. Select the figure from the options which shows the unfolded form of the paper.

5 7 4 3 2 6 4

A.

23

B.

28

C. D.

26 27

15. If

is related to

, then

is related

to _____. X

A.

B.

C.

D.

Y

Z

A.

B.

C.

D.

MATHEMATICAL REASONING 16. The difference between place values of digit 5 in 456.385 is _____.

17. Find the least number which on adding 9 to it becomes exactly divisible by 15, 25, 30 and 45.

A. B. C. D.

49995 499.95 49.995 49.999

A. B. C. D.

410 450 380 441


4

8th IMO - Set A

18. Which of the following square(s) must be shaded so that given figure is symmetric along both lines LM and AB? A

22. The given square PQRS is made up of 4 smaller squares. What is the ratio of the area of the shaded part to the area of the unshaded part? Q

M Q

P

R

S

P B

L

A.

R and S

B.

P only

C.

Q and P

D.

Q only

A.

2 : 3

B.

1:3

C. D.

1:4 3:1

23. The given table shows the temperature of a country for 7 consecutive hours. Hour

Find the area of shaded part. A

B

P

Q C

D S

49 cm

B.

49 cm2

C.

196 cm2

D.

196 cm

R

A.

21

B.

27

C.

49

D.

42

 50 − y  `  5 

B.

y  `  50 −   5

C.

` (50 − 5 y )

D.

 50 y  `  5 

5

6

7

Temperature (°C) –6 15 –2 23 12

0

–4

A.

17 °C

B.

29 °C

C. D.

21 °C 25 °C

A.

CD

B.

CCCLXXXIV

C. D.

CCCLXXXV M

4

1 3 1 1 1 1 14 × 4 − 3 × 4 + 11 × 5 = ___?__ – 4 2 2 4 2 4 2 3 A. 32 8 B. 111

C. D.

` y left. The cost of 1 pen in terms of y is ____. A.

3

25. Find the missing number.

21. Priya had ` 50. After buying 5 identical pens, she has

2

24. Find the value of CXVI + XIII + VI + CCLXV – XVI.

7 1 20. If of a number is 63, then of the number 9 3 is ______.

1

Calculate the difference between the highest and the lowest temperature of the country over the 7-hour period.

7 cm

A.

S

19. ABCD and PQRS are two squares of same dimensions.

R

115 119

26. Estimate the following by rounding off each number to nearest hundreds. 78203 – 16407

A. B. C. D.

61700 62000 61800 61500


8th IMO - Set A

5

27. When we multiply a whole number and the multiplicative identity of whole numbers, then we get _____.

A. B. C. D.

The number itself The multiplicative identity 0 Negative of that number


A. B. C.

D.

Two parallel line segments will always intersect. All equilateral triangles are isosceles. Measure of straight angle is twice that of right angle. The diameter of a circle is double of its radius.

29. Ali will be 6y years old in 6 years time. How old was Ali 4y years ago?

A. B. C. D.

6y – 6 10y – 6 2y – 6 2y + 6

30. Express the given expression in the standard form.

0.0001289 – 0.0000000274 × 1293 + 0.0000419032 A. 1.35375 × 10 –2 B. 1.53357 × 10 –4 C. 1.35375 × 10 4 D. 1.35375 × 10 –4

31. Prateek, Divyanshu and Manish jog daily in the morning around a rectangular park. They take 3 minutes, 10 minutes and 5 minutes respectively to take one complete round. In one morning, all of them start at the same time from the same point and jog in the same direction for an hour.

32. Which of the following numbers is divisible by 11?

(a) 20 minutes 25 minutes 30 minutes 60 minutes

(b) 3 times 2 times 2 times 1 time

A. B. C. D.

315 135 540 125

34. If P and Q represents the prime digits, then find the value of P and Q respectively. P P 5 × Q Q 2 Q 2 5 + 2 Q 2 5 0 2 5 5 7 5

A. B. C. D.

3, 7, 1, 7,

3 5 5 3

35. Which of the following figures satisfy the given conditions? Fig. (i) Faces : 4 Edges : 6 Vertices : 4

Fig. (ii) Faces : 5 Edges : 9 Vertices : 6

A.

(i)

(ii)

B.

(i)

(ii)

C.

(i)

(ii)

D.

(i)

(b) How many times will they meet together during the 1 hour period? A. B. C. D.

1011011 1111111 22222222 3333333

33. 35% of a number is 189. What is 25% of the number?

(a) After how many minutes will all three of them meet again?

A. B. C. D.

EVERYDAY MATHeMATICS 36. There are 45 cookies in a box. 27 of them have raisins while the rest are plain. What is the ratio of the number of plain cookies to that of raisin cookies in the box?

A. B. C. D.

2 3 3 5

: : : :

3 2 5 3


(ii)

6

8th IMO - Set A

37. An unknown number of apples were distributed amongst Garima and Amit in the ratio 5 : 7. If Amit got 84 apples, then the difference between the number of apples received by Garima and Amit is _____.

A. B. C. D.

46 32 20 24

A. B. C. D.

18 23 28 46

39. Sanchi distributed the equal number of sweets and the equal number of biscuits to each of her classmates at her birthday party. She gave out 220 sweets and 300 biscuits in total. Find the largest possible number of classmates at the party.

A. B. C. D.

10 20 30 25

A. B. C. D.

` ` ` `

21 22 21 20

: : : :

05 10 30 40

A. B. C. D.

9/10 3/5 9/20 3/10

43. Mini has some pencils. If she gives 3 pencils to each pupil, she will have 20 pencils left. If she gives 4 pencils to each pupil, she will have none left. How many pencils does she have?

A. B. C. D.

40 60 80 120

44. Sanya bought two dozen similar pens. She gave the cashier two ` 100 notes and received ` 13.60 as change. How much did each pen cost?

40. Latika's monthly salary was ` 30525. She spent ` 1800 and saved the rest. How much did she save in a year?

A. B. C. D.

42. A bottle is 3/4 full of water. The water in the bottle can fill 5 glasses. If the water in the bottle is poured out to fill 3 glasses, find the fraction of the water left in bottle.

38. Maya has the equal number of 20 paise and 50 paise coins. The total value of the coins is ` 16.10. If she spent five 50 paise coins, how many 50 paise coins did she have left?

344700 315975 248960 212840

A. B. C. D.

` ` ` `

7.77 6.76 5.87 8.46

45. Megha and Beena shared 272 beads. If Megha has thrice as many beads as Beena, how many beads does Megha have?

41. Mr. Kapoor left his office at 15:45 to attend a 3-hour seminar in Delhi. He took 2 hours 20 minutes to drive there but was 25 minutes late for the seminar. At what time did the seminar end?

A. B. C. D.

68 204 104 202

Achievers section 46. In a farm, there were 3c cows, 5p pigs and 11d ducks. Express in terms of c, d and p, the total number of legs of the remaining animals if 3 cows, 2 pigs and 4 ducks were sold.

47. In the number line shown below, PQ = QR = RS. Find the approximate value of Q, R and Q + R. Q R P S

A.

20c + 22p + 12d – 28

B.

20c + 20p + 22d – 28

C. D.

20c + 15p + 20d – 32 12c + 20p + 22d – 28

A. B. C. D.

2

Q 2.9 2.6 2.7 2.7

1 2


3

R 2.7 2.8 2.8 2.9

Q+R 5.8 5.4 5.5 5.6

1 10

8th IMO - Set A

7

48. Figure P is made up of six identical squares. Two squares were removed from figure P to form figure Q. The perimeter of figure P is 240 cm. What is the perimeter of figure Q?

Figure P

A. B. C. D.

220 180 200 160

Figure Q

if its ends are joined. A __ S_ is a simple closed curve made up of line segments. A. B. C. D.

P Curve Line Curve Curve

Q Open curve Curve Simple curve Closed curve

R Closed Open Closed Open

S Line Line Polygon Circles

50. Which of the following options hold?

cm cm cm cm

Statement-1 : If the HCF of two numbers is one of the number, then their LCM is the other number. Statement-2 : The LCM of two numbers is greater than the larger of the numbers.

49. Fill in the blanks. Any drawing (straight or non-straight) done without lifting the pencil may be a __ P_. A __ Q_ is the one that does not cross itself. A curve is said to be __ R_,

A. B. C. D.

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



Class 6 8th

Set B Year 2014


8th IMO - Set B

1

Logical Reasoning 1.

2.

3.

In a joint family, there are father, mother, 4 married sons and three unmarried daughters. Of the sons, two have 2 daughters each, and two have a son and a daughter each. How many female members are there in the family? A. 15 B. 12 C. 14 D. 11

6.

Read the information given below and answer the question that follows. P * Q means P and Q are of the same age; P – Q means Q is younger than P; P + Q means P is younger than Q. Shreya * Meena – Priti means A. Priti is the youngest. B. Priti is the oldest. C. Shreya is younger than Priti. D. None of these

7.

There is a certain relationship between figures (P) and (R). Establish the similar relationship between figures (Q) and (S) & find the missing figure. S

S

(P)

(R)

(S) S

A.

S

B.

C.

D.

4.

S

8.

The given diagram shows four E C A persons stationed at the four corners of a square piece of plot. B starts crossing the field N S diagonally. After walking half the distance, he turns right, B D walks some distance and turns W left. Which direction is B facing now? A. North-East B. South-West C. South D. South-East The given three figures (X), (Y) & (Z) shows a sequence of folding of a piece of paper. Figure (Z) shows the manner in which the folded paper has been cut. Identify the unfolded form of piece of paper.

X

S

Y

Z

A.

B.

C.

D.

9.

How many dots lie opposite to the face having four dots, when the given net of cube is folded?

A. C.

There is a certain rule followed in figures (i), (ii) and (iii). Identify the rule and find the missing number.

6 81

3 (i)

190 729

21 93

24

18

?

18

6 108 96

9 720 108

(ii)

(iii)

A. C.

5.

In the word MATHEMATICAL, if the first and third letters, the fourth and the sixth letters, the seventh and the ninth letters & the tenth and the twelfth letters were interchanged, then which of the following would be the seventh letter from the left end? A. M B. A C. H D. I

?

S

(Q)

If R is denoted by N, D is denoted by T, I is denoted by U, O is denoted by I, E is denoted by R, T is denoted by O, U is denoted by D, N is denoted by C and C is denoted by E, then how will the word ‘INTRODUCE’ be written? A. UCONIDTER B. UCONITDER C. UCONTIDER D. UCOINTDER

B. D.

820 150

2 5


B. D.

1 6

2

8th IMO - Set B

10. Select the correct mirror-image of Figure (X), if the mirror is placed vertically to the right.

Figure (X)

A.

B.

C.

D.

E

E E

A.

B.

C.

E

13. Choose the figure which is different from the rest of the three.

(P)

D.

11. Which of the following options will exactly make up the Figure (X)?

A. B. C. D.

(Q)

(R)

(S)

S R Q P

14. Which of the following figures will continue the same series as established by the five problem figures. Problem Figures

Figure (X)

?

A.

B.

A.

C.

B.

D.

C.

D.

12. Select the figure amongst the options, which when placed in the blank space of Figure (X), would complete the pattern.

15. Find the next term in the series given below.

A C G

?

Figure (X)

3F, 6G, 11I, 18L, ?

A. B. C. D.

21O 25N 27P 27Q


8th IMO - Set B

3

MATHEMATICAL REASONING 16. Estimate the sum (21497 + 47807) to the nearest thousand. A. 59000 B. 79000 C. 69000 D. 89000 17.

The A. B. C. D.

value of XVI + CCCVII = CCXXIII CCCXIV CCCXXIII CCCXXV

18. The largest number which divides 38, 46 and 62 leaving remainder 2, 4 and 6 respectively is . A. 4 B. 2 C. 3 D. 1

3 1 kg, 14 kg and 4 5 1 16 kg. Total weight of the three boys is . 2 9 A. 41 kg 20 9 B. 43 kg 20 9 C. 42 kg 20 9 D. 44 kg 20

19. The weight of three boys are 11

24. The breadth of a rectangle is w cm and the length is 5 times as long as its breadth. What is the perimeter of the rectangle? A. 5w2 cm B. 12w cm C. (10 + 2w) cm D. (25 + w2) cm 25. The pie chart shows the number of students who choose different co-curricular activities in a school. An equal number of students choose Basketball and Volleyball and 96 students choose Table Tennis.

yba

21. To balance the scale, write the missing fraction. 7 1 12

Soccer

Table Tennis

ts

ou Sc

?

1 18

ll

l

Voll e

al ketb

Subtract 29.375 from the sum of 85.75 and 5.9. A. 62.275 B. 63.275 C. 64.275 D. 65.275

23. Mihika makes 8 gift packs containing chocolates for Diwali. She puts 12 vanilla chocolates, 14 milk chocolates and 8 nut chocolates in each pack. With the help of which property, can you calculate the total number of chocolates in 8 packs? A. Commutative property B. Associative property C. Distributive property D. None of these

Bas

20.

22. Arrange the following in ascending order. P : Eight thousand six hundred fifty two Q : Ninety six thousand seven hundred forty one R : Fifty nine thousand nine hundred eighty six S : Eighty two thousand nine hundred six A. P, Q, R, S B. Q, S, R, P C. P, R, S, Q D. P, R, Q, S

A.

B.

C.

D.

11 24 10 24 5 24 1 24

The ratio of the number of students who choose Basketball to those who choose Soccer is 2 : 7. How many students choose Soccer? A. 160 B. 158 C. 172 D. 168


4

8th IMO - Set B

26. Find the difference between the place value of 7 in 5369.70184 and face value of 3 in 536970184. A. 2.3 B. 2.7 C. 230000 D. 69997

27. Study the given pattern and find the value of X and Y respectively.

31. Which of the following numbers are divisible by 3? A. 700458 B. 2345162 C. 6594832 D. 7145221

21

A. B. C. D.

32. Given below number line represents

18 35

2

Y

A. C.

20, 17 22, 25

21

26

30

X

B. D.

Only P Both P and Q Both Q and R P, Q, R and S

25, 19 19, 25

A. C.

1

0

2 + 3 = 5 5 – 3 = 2

1

2

3

4

5

B. D.

6

.

7

5–2=3 5+3=3+5

28. If '+' is written as '÷', – is written as '+', '×' is written as '–' and '÷' is written as '×', then what is the value of 6 – 4 of 7 + [20 + {5 – (3 – 2)}]? A. 16 B. 20 C. 28 D. 32

33. In the Gobi Desert, temperature of –60° F was recorded but in Sahara Desert on the same day it was 186° F. What is the difference between these two temperatures? A. 246° C B. 126° F C. 126° C D. 246° F

29. How many parts should be shaded in the Figure Q to make it the same fraction as the unshaded part in the Figure P? A. 3 Figure P B. 4 C. 8 Figure Q D. 12

34. The star is formed from 12 identical equilateral triangles. The perimeter of star is 72 cm. What is the perimeter of shaded hexagon? A. 42 cm B. 36 cm C. 48 cm D. 30 cm

30. Which of the following have at least two lines of symmetry?

35. Find the fraction of curved lines to the total number of lines in the given figure. A. 6/13 B. 8/13 C. 7/13 D. 5/13

P

Q

R

S

EVERYDAY MATHeMATICS 36. Your mother says "To calculate your pocket money, multiply your age by itself and then double it". If your age is x years, write an algebraic expression representing your pocket money. How much do you get as pocket money if your age is 11 years. A. 4x, ` 44 B. 4x2 , ` 484 C. 2x2 , ` 242 D. 3x2 , ` 363 37. A and B take time in ratio 2 : 3 to complete a work. If they do the work together, they finish it in 10 days. What part of work was done by A?

A. B. C. D.

(3/5)th (1/5)th (2/5)th (4/5)th

38. A square shaped floor tiles has length of 25 cm each. How many tiles will be needed for a rectangular lawn 12 m long and 10 m wide? Find the total cost at the rate of ` 8 per tile. A. 1560, ` 12,480 B. 1430, ` 11,440 C. 2120, ` 16,960 D. 1920, ` 15,360


8th IMO - Set B

5

39. Shalini spent ` 835.75 on buying clothes, ` 309.15 on buying fruits and vegetables, ` 168.90 on buying sweets and ` 60.50 on transport. She had 3 five hundred rupee notes in her purse. How much money was left with her? A. ` 142.35 B. ` 125.70 C. ` 132.80 D. ` 115.70 40. A wheel barrow can hold

1 1 3 8 2 4 into the wheel barrow. 7 A. 26 8

kg, if four rocks

1 2

weighs 6 kg, 8 kg, 4 kg and 7 kg are to be loaded

B.

24

3 8

C.

26

1 8

D.

24

7 8

42. Rajan sold a cycle at a loss of ` 300. If he had sold it at ` 3000 he would have made a profit of ` 600. At what price did he sell the cycle? A. ` 2400 B. ` 2000 C. ` 2100 D. ` 2500 43. Eight copies of a book cost ` 523.60. What is the cost of a copy of the book? A. ` 60.40 B. ` 65.45 C. ` 60.45 D. ` 65.40

4 of his monthly income on house 15 1 1 on food and on other items. He saves rent, 5 2 ` 800 in the end. What was his monthly income? A. ` 24,000 B. ` 22,000 C. ` 25,000 D. ` 20,000

44. A man spends

41. A vessel has 5 litres 120 millilitres of mango shake. How many glasses each of 40 ml capacity, can be filled with it? A. 122 B. 130 C. 118 D. 128

45. The capacity of a drum is 50 L and that of a bucket

3 4 drum, what fraction of the drum remains empty? A. 1/4 B. 1/2 C. 3/4 D. 1/8

is 8 L. If 5 buckets of water is poured into the

Achievers Section 46. Fill in the blanks: (i) The opposite sides of a parallelogram are ____P___ and ___Q ____. (ii) A quadrilateral having only one pair of opposite sides parallel is called a ____R__ __. (iii) A parallelogram having all the sides equal is called a ____S__ __. P Q R S A. Equal Parallel Rectangle Rhombus B. Equal Non-parallel Trapezium Kite C. Equal Parallel Trapezium Rhombus D. Equal Parallel Trapezium Kite 47. In a maths quiz, there are 20 questions. If all questions are answered correctly, a student's score will be 20; if all questions are answered incorrectly a student's, score will be –20. Part way through this quiz Varun has a score of 2. What will his new score be, if he

(a) answers 2 of the next 5 questions correctly and 3 of them incorrectly? (b) answers 4 of the next 5 questions incorrectly and 1 of them correctly? (a) (b) A. 2 1 B. –2 –1 C. 1 –1 D. 1 0

48. Which of the following statements is INCORRECT? A. –2 < –1, since –2 lies on the left of –1 in the number line. B. –1 > – 4, since –1 lies on the right of – 4 in the number line. C. – 4 > –5, since –5 lies on the left of – 4 in the number line. D. –3 > –5, since –5 lies on the right of –3 in the number line.


6

8th IMO - Set B

49. Match the columns: Column-I Column-II (Figure) (Shaded Fraction)

(p)

(i)

(q)

(ii) One-half

(r)

(s)

Two-fifths

(iii) One-fourth

(iv) One-third

A. B. C. D.

(p) (p) (p) (p)

→ → → →

(iii), (q) → (iv), (r) → (i), (s) → (ii) (iv), (q) → (i), (r) → (iii), (s) → (ii) (ii), (q) → (i), (r) → (iv), (s) → (iii) (iii), (q) → (i), (r) → (iv), (s) → (ii)

50. Study the statements given below and choose the correct answer. Statement-1 : Numbers having more than two factors are known as composite numbers. Statement-2 : A number for which sum of all its factors is equal to twice the number is called a perfect number. A. Statement-1 is true and statement-2 is false. B. Statement-1 is false and statement-2 is true. C. Both statements are true. D. Both statements are false.



ANSWER KEYS 4 th IMO (2010) 1. (A) 11. (D) 21. (C) 31. (A) 41. (D)

2. (C) 12. (C) 22. (B) 32. (B) 42. (D)

3. (B) 13. (D) 23. (B) 33. (B) 43. (C)

4. (B) 14. (A) 24. (C) 34. (A) 44. (D)

5. (B) 15. (D) 25. (A) 35. (C) 45. (D)

6. (C) 16. (C) 26. (D) 36. (B) 46. (B)

7. (A) 17. (B) 27. (A) 37. (B) 47. (A)

8. (B) 18. (C) 28. (C) 38. (C) 48. (C)

9. 19. 29. 39. 49.

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

10. 20. 30. 40. 50.

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

7. 17. 27. 37. 47.

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

8. 18. 28. 38. 48.

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

9. 19. 29. 39. 49.

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

10. 20. 30. 40. 50.

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

7. 17. 27. 37. 47.

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

8. 18. 28. 38. 48.

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

9. 19. 29. 39. 49.

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

10. 20. 30. 40. 50.

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

7. (B) 17. (A) 27. (C) 37. (C) 47. (C)

8. (D) 18. (C) 28. (D) 38. (D) 48. (D)

9. 19. 29. 39. 49.

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

10. 20. 30. 40. 50.

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

5 th IMO (2011) 1. 11. 21. 31. 41.

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

2. 12. 22. 32. 42.

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

3. 13. 23. 33. 43.

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

4. 14. 24. 34. 44.

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

5. 15. 25. 35. 45.

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

6. 16. 26. 36. 46.

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

6 th IMO (2012) SET A 1. 11. 21. 31. 41.

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

1. (B) 11. (C) 21. (B) 31. (C) 41. (C)

2. 12. 22. 32. 42.

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

2. (B) 12. (D) 22. (C) 32. (B) 42. (D)

3. 13. 23. 33. 43.

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

3. (B) 13. (C) 23. (A) 33. (D) 43. (A)

4. 14. 24. 34. 44.

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

4. (C) 14. (B) 24. (B) 34. (D) 44. (B)

5. 15. 25. 35. 45.

(A) 6. (A) 16. (A) 26. (D) 36. (C) 46. SET B

5. (D) 15. (D) 25. (C) 35. (B) 45. (B)

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

6. (C) 16. (B) 26. (C) 36. (A) 46. (C)

7 th IMO (2013)

1. (B) 11. (A) 21. (C) 31. (D) 41. (B)

2. (B) 12. (C) 22. (C) 32. (C) 42. (A)

3. (C) 13. (A) 23. (B) 33. (D) 43. (A)

4. (C) 14. (D) 24. (A) 34. (D) 44. (D)

SET A 5. (C) 6. (B) 15. (B) 16. (D) 25. (B) 26. (C) 35. (B) 36. (A) 45. (C) 46. (C) SET B

7. (A) 17. (B) 27. (C) 37. (C) 47. (C)

8. (C) 18. (C) 28. (A) 38. (D) 48. (C)

9. 19. 29. 39. 49.

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

10. 20. 30. 40. 50.

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

1. (C) 11. (D) 21. (B) 31. (C) 41. (B)

2. (C) 12. (A) 22. (B) 32. (B) 42. (D)

3. (C) 13. (C) 23. (D) 33. (D) 43. (A)

4. (B) 14. (D) 24. (D) 34. (A) 44. (D)

5. (B) 15. (A) 25. (C) 35. (D) 45. (B)

7. (D) 17. (D) 27. (B) 37. (D) 47. (D)

8. (C) 18. (A) 28. (C) 38. (A) 48. (B)

9. 19. 29. 39. 49.

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

10. 20. 30. 40. 50.

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

7. (B) 17. (D) 27. (A) 37. (D) 47. (D)

8. (A) 18. (C) 28. (A) 38. (A) 48. (C)

9. 19. 29. 39. 49.

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

10. 20. 30. 40. 50.

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

7. (D) 17. (C) 27. (C) 37. (C) 47. (C)

8. (C) 18. (B) 28. (B) 38. (D) 48. (D)

9. 19. 29. 39. 49.

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

10. 20. 30. 40. 50.

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

6. (C) 16. (D) 26. (C) 36. (B) 46. (C)

8 th IMO (2014)

1. (C) 11. (A) 21. (A) 31. (C) 41. (D)

2. (C) 12. (B) 22. (B) 32. (C) 42. (D)

3. (C) 13. (A) 23. (B) 33. (B) 43. (C)

4. (B) 14. (A) 24. (B) 34. (D) 44. (A)

1. (C) 11. (A) 21. (A) 31. (A) 41. (D)

2. (A) 12. (A) 22. (C) 32. (A) 42. (C)

3. (B) 13. (D) 23. (C) 33. (D) 43. (B)

4. (C) 14. (D) 24. (B) 34. (B) 44. (A)

SET A 5. (B) 6. (C) 15. (D) 16. (C) 25. (D) 26. (C) 35. (C) 36. (A) 45. (B) 46. (D) SET B 5. (D) 6. (B) 15. (C) 16. (C) 25. (D) 26. (A) 35. (C) 36. (C) 45. (D) 46. (C)


Class 6 IMO 5 Years e Book

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