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

Z and A are sisters. What is the relation between Z's husband and A?

a)

brother-in-law

b)

brother

c)

father

d)

uncle

Q.2

The length of tangents drawn from an external point to a circle are ______.

a) equal
b) unequal
c) always 3 times the other
d) always 9 times the other

Q.3

If a circular metal sheet is 0.65 cm thick and of 50 cm in diameter is melted and recast into cylindrical bar with 8 cm diameter then length of bar will be:

a)

25.41 cm

b)

35.41 cm

c)

40.41 cm

d)

25.39 cm

Q.4

Find the area of cardboard needed to make a rectangular box 14 cm long, 9 cm wide and 7 cm high.

a)

574 m²

b)

504 m²

c)

520 m²

d)

584 m²

Q.5

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.6

Look at the image given below. Find the perimeter of ΔPQR.



a)

16 cm

b)

26 cm

c)

28 cm

d)

65 cm

Q.7

From the top of a light house 60⁰ metre high, with its base at the sea level, the angle of depression of a boat is 30⁰. The distance of the boat from the foot of the light-house is:

a)

60√3 metres

b)

60/√3 metres

c)

60 metres

d)

30√2 metres

Q.8

If a rectangular tank is 21 cm long, 13 cm wide and 18 cm high and contains water up to a height of 11 cm then volume of water in liters is:

a)

4.003 liters

b)

5.003 liters

c)

3.003 liters

d)

2.003 liters

Q.9

Find the equation of the straight line joining the points of intersection of 2x + y = 4 with x - y + 1 = 0 and 2x - y - 1 = 0 with x + y - 8 = 0.

a) x + 2y = 3
b) x + 2y + 3 = 0
c) x - 2y + 3 = 0
d) 3x - 2y + 1 = 0

Q.10

Find x in the following figure:

a) 142⁰
b) 60⁰
c) 120⁰
d) 125⁰

Your Score: 0/10


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

Answers to Sample Questions from Olympiad Success:

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

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