SOF - IMO Level 2 Sample Papers for Class 9

Class 9 sample paper & practice questions for the level 2 of International Mathematics Olympiad (IMO) are given below. Syllabus for level 2 is also mentioned for these exams. You can refer these sample paper & quiz for preparing for the exam.


Sample Questions from Olympiad Success:

Q.1 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10

Q.1

Sneha got an average score of 81.25 in 4 tests. She got 82 as the average of the highest 3 scores, and her lowest two scores are the same numbers. What is the average of her highest two scores?

a)

84

b)

83.5

c)

83

d)

84.5

Q.2

If L is the length of diagonal of a cube of volume V, what is the relation between L & V?

a) 3V = L3
b) √3V = L3
c) 3√3 V = 2L3
d) 3√3 V = L3

Q.3

Given a complex expression, if reduced to its simplest form, which among the following will be the factors of the expression? -2xy + 7y + 4x - 14

a) (-2x + 7)(-y - 2)
b) (-2x + 7)(y - 2)
c) (2x + 7)(y - 2)
d) (-2x + 7)(y + 2)

Q.4

Find the coordinates of points which lies on x-axis at a distance of 4 units from origin in the positive direction of x-axis.

a) (0, 4)
b) (-4, 0)
c) (0, -4)
d) (4, 0)

Q.5

A teacher measures the heights of 13 students of her class as follows (in centimetres)
152, 126, 115, 129, 146, 135, 156, 136, 117, 148, 154, 138 and 134.
What is the median of their heights?

a) 135
b) 136
c) 140
d) 132

Q.6

If AB = BC, AD = CD, and ∠ADC = 42°, the measure of ∠ACD is:



a)

90°

b)

70°

c)

69°

d)

80°

Q.7

A sphere is just enclosed inside a right circular cylinder. If the volume of the cylinder is 540 cm3, find the volume of the sphere.



a)

180 cm3

b)

360 cm3

c)

720 cm3

d)

450 cm3

Q.8

The median of given observations arranged in ascending order is 25.
Find p.



a)

22

b)

24

c)

21

d)

26

Q.9

If ∠ADB is a right angle, find the value of angle x.


a) 81°
b) 75°
c) 83°
d) 43°

Q.10

BC is a chord of a circle with centre O. A is a point on major arc BC. Find the total measure of ∠BAC & ∠OBC.

a) 90°
b) 100°
c) 120°
d) 150°

Your Score: 0/10



Answers to Sample Questions from Olympiad Success:

Q.1bQ.2dQ.3bQ.4dQ.5bQ.6cQ.7bQ.8aQ.9cQ.10a

Answers to Sample Questions from Olympiad Success:

Q.1 : b | Q.2 : d | Q.3 : b | Q.4 : d | Q.5 : b | Q.6 : c | Q.7 : b | Q.8 : a | Q.9 : c | Q.10 : a

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