Indian Talent Olympiad - IMO PDF Sample Papers for Class 10

Class 10 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

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

a) 16/36
b) 25/36
c) 35/36
d) 26/36

Q.2

First term of an A.P. is –2 and 10th term is 28. What is the value of d (common difference)?

a)

10/3

b)

10/9

c)

10/6

d)

10/4

Q.3

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

a)

-1

b)

1

c)

0

d)

3

Q.4

Find the value of sin² 10⁰ + sin² 80⁰:

a)

0

b)

1

c)

2

d)

3

Q.5

Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.

a) A
b) B
c) C
d) D

Q.6

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.7

The following question is based on the following alphabet series. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 

What should come in place of ?
Z, T, ?, H, B

a)

N

b)

L

c)

P

d)

None of these

Q.8

A sum of ₹ 24,000 is divided into two parts P1 and P2, such that the simple interest calculated on P1 for 3 year and on P2 for 4 years are equal. If the rates of interest on P1 and P2 are 4% and 5% respectively, then find the smaller of the parts P1 and P2.

a)

₹ 10,000

b)

₹ 12,000

c)

₹ 8000

d)

₹ 9000

Q.9

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.10

If x = sin²θ and y = cos²θ +1, then find the value of x + y.

a)

0

b)

1

c)

2

d)

3

Your Score: 0/10


Sample PDF of Indian Talent Olympiad - International Maths Olympiad (IMO) PDF Sample Papers for Class 10:


If your web browser doesn't have a PDF Plugin, you can Click here to download the PDF


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

Answers to Sample Questions from Olympiad Success:

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

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