SOF - IMO PDF Sample Papers for Class 10

Class 10 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

If A gets 25% more than B and B gets 20% more than C. The share of C out of a sum of Rs. 740 is:

a)

Rs. 150

b)

Rs. 200

c)

Rs. 250

d)

Rs. 300

Q.2

If 4th and 8th terms of an A.P. are 11 and 23 respectively, find a and d.

a) a = 2, d = 3
b) a = 2, d = 2
c) a = 3, d = 3
d) a = 1, d = 3

Q.3

What will be the lateral surface area of a cylinder (in terms of radius r) whose height is twice of its radius?

a)

2πr3

b)

4πr2

c)

6πr2

d)

8πr2

Q.4

Find x, y and z in the following figure:



a)

38⁰, 52⁰, 142⁰

b)

120⁰, 20⁰, 60⁰

c)

145⁰, 120⁰, 80⁰

d)

45⁰, 120⁰, 80⁰

Q.5

A jar containing a mixture of milk and water has 55% milk. A part of this mixture is replaced by another mixture of milk and water having 20% milk. If now the mixture has 35% milk, what fraction of the jar was not replaced?

a)

3/4

b)

4/7

c)

3/7

d)

4/3

Q.6

If f(x) = x² – 5x – 14, find the value of f(7).

a)

-1

b)

1

c)

0

d)

3

Q.7

If you stand at the centre, and face towards South. Now you move at an angle of 100 degrees clockwise, then in which direction do you face now?

a)

North

b)

South

c)

North-West

d)

South-West

Q.8

Match the statements of Column A with the values of Column B:

Column A     Column B
i. Total surface area of a cylinder whose height is / and base radius is r     A. πrl/3
ii. Total surface area of a cone whose base radius is (r)  with slant height l.      B. 3πrl
iii. Curved surface area of a cone frustum whose base radius is equal to twice to the radius of its top (r) and slant height l.     C. πr(l + r)
iv. Curved surface area of a cone whose base radius is r and slant height is 1/3.     D. 2πr(l + r)

a)

(i) - (A); (ii) - (C); (iii) - (B); (iv) - (D)

b)

(i) - (D); (ii) - (C); (iii) - (B); (iv) - (A)

c)

(i) - (D); (ii) - (B); (iii) - (A); (iv) - (C)

d)

(i) - (C); (ii) - (B); (iii) - (D); (iv) - (A)

Q.9

If –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k.

a) 9/8
b) 9/4
c) 9/5
d) 9/3

Q.10

If H.C.F. of two numbers is 68 and 85 is 17. What is the L.C.M. of two numbers?

a) 340
b) 350
c) 360
d) 370

Your Score: 0/10


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

Answers to Sample Questions from Olympiad Success:

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

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