SOF - IMO Level 2 Sample Papers for Class 10

Class 10 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

A tower subtends an angle of 30° at a  point on the same level as the foot of the tower. At a second point h m above the first, the depression of the foot of tower is 60°. What is the horizontal distance of the tower from the point?

a)

h cot 60°

b)

h cot 30°

c)

h/2 cot 60°

d)

h/2 cot 30°

Q.2

In a right-angled triangle, the product of two sides is equal to half of the square of the third side i.e. hypotenuse. One of the acute angle must be?

a) 45°
b) 15°
c) 30°
d) 60°

Q.3

The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

a)

44

b)

22

c)

18

d)

42

Q.4

In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family?

a)

4

b)

3

c)

5

d)

2

Q.5

What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?

a) 1,49,700
b) 1,52,897
c) 1,64,749
d) 1,64,850

Q.6

Two circles C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D and C2 in A, B respectively. If ∠BDC = 120°, then find the value of ∠ABP.

a)

80°

b)

60°

c)

100°

d)

120°

Q.7

If the roots of a quadratic equation are 20 and -7, then find the equation.

a)

x2 + 13x - 140 = 0

b)

x2 - 13x - 140 = 0

c)

x2 + 13x + 140 = 0

d)

x2 - 13x + 140 = 0

Q.8

What should be missing term in the following number series?
8, 6, 17, 14, 35, 30, 71, ?, 143

a) 54
b) 64
c) 62
d) 56

Q.9

What will come in place of the question mark (?) in the following number series?
1727, 1333, 997, ?, 507

a) 733
b) 752
c) 754
d) 775

Q.10

An elevator starts with 5 passengers and stops at 8 different floors. Find out the probability of all the 5 passengers alighting at different floors.

a)

101/512

b)

107/512

c)

109/512

d)

105/512

Your Score: 0/10



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

Answers to Sample Questions from Olympiad Success:

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

RECENT UPDATES
Stay Ahead of your Peers - SchoolPlus Program Click here
Schedule for Live Classes Announced Check here
Improve your Communication Skills See how
Learn Vedic Math - Basic, Intermediate and Advanced Levels Click here
Become a Coding Master Click here
Enhance your Logical Reasoning Skills Click here
Registration will close soon for Summer Olympiads 2021-22 Click here
Find Olympiad Preparatory Material for Maths, Science, English, Cyber
  EXPLORE