imo grade-7 2014-paper€¦ · · 2017-08-16imo grade-7 2014-paper crack imo exams, learn from...

IMO Grade-7 2014-Paper

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Logical Reasoning

1. Find the missing figure in the given pattern.

(a)

(b)

(c)

(d)

2. A cube and its net is given below. Identify the letter on the top of the cube.

(a) S

(b) T

(c) U

(d) R

3. If Armaan is facing South-east of P after turning 135 clockwise, then he was facing at first.

(a) North

(b) North-west

(c) West

(d) North-east



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4. If the figures having some characters given below follow the same rule, then find the missing

number from the options.

(a) 1304

(b) 2304

(c) 2034

(d) 1034

5. Arrange the given below words in the order as in a dictionary.

(i) Mercury (ii) Showroom

(iii) Rice (iv) (iv) Petrol

(v) Oranges

(a) (i), (v), (iv), (ii), (iii)

(b) (i), (iv), (v), (iii), (ii)

(c) (i), (v), (iv), (iii), (ii)

(d) (ii), (iii), (iv), (v), (i)

6. Select the figure from the options which is not exactly embedded as one of the part in the

given figure.

(a)

(b)

(c)

(d)



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7. Which of the following is the correct mirror image of Figure (X), if the mirror is placed

vertically to the left?

(a)

(b)

(c)

(d)



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

(a) 22

(b) 20

(c) 19

(d) 21

9. Which of the following options best depicts the given Venn diagram?

(a) Plants, Animals, Flowers

(b) Pencil, Eraser, Pen

(c) Toy cars, Toys, Plastic objects

(d) Basketball players, Females, Sportsman

10. Select the pair which satisfies the same placement of condition of dots.

(a) PQ

(b) QR

(c) PR

(d) Can't be determined

11. Study the given arrangement and answer the question that follows:

If the symbols and numbers are interchanged serially as they appear in the arrangement such

as with 2, * with 1, @ with 3 and so on, then which element will be the 17th element to

the right of the 20th element from the right end in the new arrangement?

(a) 8

(b) $

(c) 4

(d) #



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12. If ' ' stands for ' ' , ' ' stands for ' ', ' ' stands for ' ' , then value of P is ______.

6 2 8 12 3 P

(a) 15

(b) 18

(c) 21

(d) 14

13. Rahul told Anand, "Yesterday I defeated the only brother of the daughter of my

grandmother." Whom did Rahul defeat?

(a) Son

(b) Father

(c) Brother

(d) Father-in-law

14. P, Q, R, S, T, V and W are sitting around a circle facing at the centre. V is second to the left

of P and second to the right of W. T is third to the right of Q and is not an immediate neighbor

of V. S is third to the right of R. In which of the following groups is the last person sitting

between the first and the second persons?

(a) RPQ

(b) TWS

(c) QPR

(d) PTR

15. A piece of paper is folded in such a manner as shown and punched. Select the unfolded form

of piece of paper.

(a)

(b)

(c)

(d)



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Mathematical Reasoning

16. Priya earned Rs. 25000 in a month. The given graph shows the amount of money saved by

Priya in five months. What was the amount of money she spend in five months?

(a) Rs. 970000

(b) Rs. 100000

(c) Rs. 107000

(d) Rs. 117000

17. Select the correct match.

Figure Fraction of unshaped part

(a)

(b)

(c)

(d)



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18. Which of the following number line represents 1 4?

(a)

(b)

(c)

(d)

19. The value of

41/5

41/5

243?

32

(a) 3

2

(b)

43

2

(c) 4 4

1

2 3

(d) 4 4

1

2 3

20. Select the INCORRECT step in simplification of 2 1 3 2 2x x

Step-1: 2 2 6 6x x (open brackets)

Step-2: 6 2 2 6x x (combining like terms)

Step-3: 4 8x

Step-4: 2x (multiplying by 4 both sides)

(a) Step-2

(b) Step-4

(c) Step-3

(d) Step-1



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21. Find the area of square PQRS.

(a) 19 sq. units

(b) 36 sq. units

(c) 16 sq. units

(d) 25 sq. units

22. Which of the following options is INCORRECT?

(a) 1 3

(b) 1 4 5 180

(c) 8 6

(d) 1 3 180

23. In two triangles PQR and LMN, PQ = QR, P M and QR = LN, then which of the

following is true?

(a) Triangles are congruent only

(b) Triangles are isosceles only

(c) Triangles are both congruent and isosceles

(d) None of these

24. The mean of three numbers is 40. All the three numbers are different natural numbers. If

lowest is 19, what could be highest possible number of remaining two numbers?

(a) 81

(b) 40

(c) 100

(d) 71



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25. Study the below statements carefully and answer the question given below.

(i) The Successor of 0 52 is 1 52 .

(ii) Integers are closed under division.

(iii) 20 5 3 20 2

(iv) 2 9 is less than 9 2 .

Which of the following statements is/are correct?

(a) Only (i)

(b) Both (i) and (iv)

(c) Only (iv)

(d) Both (i) and (iii)

26. The three scales below are perfectly balanced if 3 . What are the values of and *

respectively?

(a) 4, 7

(b) 6, 3

(c) 7, 4

(d) 3, 6

27. Mathematics textbook for Class VII has 320 pages. The chapter 'Symmetry' runs from page

261 to page 272. The ratio of the number of pages of this chapter to the total number of pages

of the book is

_______.

(a) 11 : 320

(b) 3 : 40

(c) 3 : 80

(d) 272 : 320



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28. In the given figure, all triangles are equilateral and PQ = 12 units. Other triangles have been

formed by taking the mid points of the sides. What is the perimeter of the figure?

(a) 62.3 units

(b) 64.5 units

(c) 65.8 units

(d) 67.5 units

29. The number of toffees in 30 gift packs are given as follows:

5, 6, 4, 5, 3, 4, 4, 2, 5, 4, 1, 2, 11, 9, 2, 5, 4, 8, 7, 6, 5, 1, 2, 5, 7, 8, 1, 9, 7, 8

Find the average number of toffees in gift packs.

(a) 4

(b) 5

(c) 6

(d) 7

30. Find the value of 1 2 .

(a) 150

(b) 60

(c) 130

(d) 110

31. A man travelled two fifth of his journey by train, one third by bus, one-fourth by car and the

remaining 3 km on foot. What is the length of his journey travelled by train?

(a) 75 km

(b) 72 km

(c) 80 km

(d) 85 km



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32. In a school of 100 students, only 2 out of 5 students can participate in a quiz. What is the

percentage of students that participate in the quiz?

(a) 20 %

(b) 40 %

(c) 50 %

(d) 30 %

33. Choose the correct option for PQR .

(a) PQ QR PR

(b) PQ QR PR

(c) PQ QR PR

(d) PQ PR QR

34. The choices of the fruits of 42 students in a class are as follows:

A, O, B, M, A, G, B, G, A, G,

B, M, A, G, M, A, B, G, M, B,

A, O, M, O, G, B, O, M, G, A,

A, B, M, O, M, G, B, A, M, O, M, O,

where A, B, G, M and O stands for Apple, Banana, Grapes, Mango and Orange respectively.

Which two fruits are liked by an equal number of students?

(a) A and M

(b) M and B

(c) B and O

(d) B and G

35. Evaluate:

5 7 12 4 3

4 6 3

0.087 0.317 0.9

(a) 2.833

(b) 0.28

(c) 0.000028

(d) 0.00028



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Everyday Mathematics

36. A 5 kg bag of ice cost Rs. 8 per kg. Mr. Mohit bought Rs. 120 worth of rice. If he repacked

the rice into smaller packets each weighing 3

5kg , how many packets would he get?

(a) 15

(b) 12

(c) 9

(d) 25

37. It takes 17 full specific type of trees to make one tonne of paper. If there are 221 such trees

in a forest, then to save 7

13 part of the forest, how much of paper we have to save?

(a) 6 tonnes

(b) 8 tonnes

(c) 7 tonnes

(d) 4 tonnes

38. Garima collected the data regarding weights of students of her class and prepared the

following table:

A student is to be selected randomly from her class for some competition. The probability

of selection of the student is highest whose weight (in kg) is in the interval _______.

(a) 44 – 49

(b) 56 – 61

(c) 50 – 55

(d) 62 – 67

39. In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times

Palak's marks make 280. The marks obtained by Abha are ______.

(a) 40

(b) 60

(c) 80

(d) 90



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40. Supriya got Rs. 27480 as her monthly salary and over-time. Her salary exceeds the over-

time by Rs. 8000. How much did she earn in a year (except overtime)?

(a) Rs. 212880

(b) Rs. 156430

(c) Rs. 243820

(d) Rs. 198460

41. The lawn in front of Latika's house is 12 8m m , whereas the lawn in front of Nisha's house

is 15 5m m . A bamboo fencing is built around both the lawns. How much fencing is

required for both?

(a) 40 m

(b) 80 m

(c) 60 m

(d) 90 m

42. Amit purchased 2 kg 200 g potatoes, 250 g rice, 15 kg 300 g wheat, 500 g apples and 2 kg

600 g tomatoes. Find the total weight of his purchases (in kilograms).

(a) 25.75 kg

(b) 18.65 kg

(c) 20.85 kg

(d) 15.95 kg

43. Shivam purchased 1

422

litres of juice on Monday and 3

244

litres of juice on Tuesday. How

many litres of juice did he purchase together in two days?

(a) 2

663

litres

(b) 3

724

litres

(c) 1

764

litres

(d) 1

674

litres



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44. Temperature of a place at 12:00 noon was 5 C Temperature increased by 3 C in first hour

and decreased by 1 C in the second hour. What was the temperature at 2:00 pm?

(a) 5 C

(b) 7 C

(c) 8 C

(d) 6 C

45. In a colony of 100 blocks of flats numbering 1 to100, a school van stops at every sixth block

while a school bus stops at every tenth block. On which stops will both of them stop if they

start from the entrance of the colony?

(a) 30, 60, 90

(b) 20, 40, 80

(c) 30, 60, 80

(d) 40, 80, 100

Achievers Section

46. Sum of two numbers is 45. One is twice the other.

(A) If smaller number is l, find the other number.

(B) Find the equation formed.

(C) Find the numbers.

A B C

(a) 2l 2 45l l 10, 35

(b) 2l 2 45l l 15,30

(c) 2l 45 2l l 15, 30

(d) / 2l 45 / 2 0l l 25,20

47. Which of the following statements is correct?

(a) The reciprocal of a proper fraction is a proper fraction.

(b) The product of two improper fractions is less than both the fractions.

(c) To multiply a decimal number by 1000, we move the decimal in the number to the right

by three places.

(d) Product of two fractions = Product of their denominators

Product of their numerators



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48. There are four containers that are arranged in the ascending order of their heights. If the

height of the smallest container given in the figure is expressed as 3

16.5cm29

x . Find the

height of I, II and IV container.

(a) 159.5 cm 79.75 cm 39.88 cm

(b) 156.5 cm 76.65 cm 19.94 cm

(c) 159.5 cm 79.75 cm 19.94 cm

(d) 162.75 cm 86.5 cm 22.34 cm

49. Fill in the blanks. A __P___ is perfectly straight and extends forever in both directions. A

__Q___ is a perfectly flat surface that extends forever in all directions. A __R___ or line

segment, is the part of a line between two points.

P Q R

(a) Line Plane Ray

(b) Line Plane Segment

(c) Line Ray Plane

(d) Ray Segment Plane

50. Which of the following options hold with respect to given below statements?

Statement 1: Value of 85 43 43 15 85 15 43 4300

Statement 2: If * is a multiply operation for integers ,p q and r , then we have

* * *p q r p q p r

(a) Statement 1 is true and statement 2 is false.

(b) Statement 1 is false and statement 2 is true.s

(c) Both statements 1 and 2 are true.

(d) Both statements 1 and 2 are false.

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