Indian Talent Olympiad - IMO PDF Sample Papers for Class 9

Class 9 sample paper & practice questions for International Maths 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 cone of height 4 cm and radius 8 cm is reshaped by a child to form a sphere. Find the radius of the sphere.

a)

1 cm

b)

2 cm

c)

3 cm

d)

4 cm

Q.3

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

a)

PQ

b)

QR

c)

PR

d)

None of these

Q.4

If a cuboids is 3.2 cm high, 8.9 cm long and 4.7 cm wide then total surface area is:

a)

160.7 cm²

b)

180.0 cm²

c)

205.7 cm²

d)

170.7 cm²

Q.5

The LCM of two number is 495 and their HCF is 5. If the sum of the number is 100, then find the difference of the number.

a)

10

b)

46

c)

70

d)

90

Q.6

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.7

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.8

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.9

Find the distance of the intercept at the point of X-axis and the line 5x + 9y = 45 origin:

a)

5 units

b)

9 units

c)

5/9 units

d)

9/5 units

Q.10

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

a)

-2

b)

2

c)

-4

d)

4

Your Score: 0/10


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

Answers to Sample Questions from Olympiad Success:

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

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