SOF - IMO PDF Sample Papers for Class 9

Class 9 sample paper & practice questions for International Mathematics Olympiad (IMO) level 1 are given below. Syllabus for level 1 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

Radius of sphere is 8 cm. How many small spheres of radii 4 cm can be formed out of it?

a)

2

b)

4

c)

6

d)

8

Q.2

A number is as much greater than 22 as is less than 72. Then the number is:

a)

47

b)

50

c)

52

d)

104

Q.3

What is the probability of getting a total of less than 12 in the throws of two dice?

a) 35/36
b) 21/36
c) 2/6
d) 3/8

Q.4

Look at the image given below and find OP.



a)

5 cm

b)

6 cm

c)

7 cm

d)

4 cm

Q.5

Find the circumference of the circle with centre O.



a)

20π cm

b)

25π cm

c)

30π cm

d)

35π cm

Q.6

Find the value of x if the mode of the following data is 18. 
16, 18, 17, 16, 18, x, 19, 17, 14

a)

61

b)

17

c)

18

d)

19

Q.7

If α and β are the roots of the quadratic equation 2x2 + 6x + k = 0, where k < 0, then what is the maximum value of α/β + β/α?

a)

2

b)

-2

c)

9

d)

-9

Q.8

If surface area of sphere is 144π cm². What is its radius?

a)

5 cm

b)

6 cm

c)

7 cm

d)

8 cm

Q.9

The value of polynomial P(x) = x² + 4x - 10 at x = 2 is:

a)

-2

b)

2

c)

-4

d)

4

Q.10

In ΔPQR, ∠P = 60°, ∠Q = 50°. Which side of the triangle is the longest?

a)

PQ

b)

QR

c)

PR

d)

None of these

Your Score: 0/10


Sample PDF of SOF - International Mathematics Olympiad (IMO) PDF Sample Papers for Class 9:


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Answers to Sample Questions from Olympiad Success:
Q.1 )dQ.2 )aQ.3 )aQ.4 )cQ.5 )bQ.6 )cQ.7 )dQ.8 )bQ.9 )bQ.10 )a

Answers to Sample Questions from Olympiad Success:

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

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