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.

Resources:

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	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.2	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.3	Which prime numbers will be repeatedly multiplied in prime factorization of 3200?
a)	2 and 5
b)	4 and 2
c)	2 and 6
d)	5 and 8

Q.4	A man has 30 cookies. He ate one-third of the cookies and divided the remaining between his children in the ratio 5: 3: 2. What is the difference between the number of cookies eaten by the man and the minimum number of cookies received by any of the children?
a)	6
b)	0
c)	4
d)	None of these

Q.5	A paper is in the form of a square of side 20 cm. Semicircle are down inside the square paper on two sides as diameter. The semi-circular portions are cut off. Find the remaining paper.
a)	87 cm²
b)	86.3 cm²
c)	86 cm²
d)	85.7 cm²

Q.6	A container has milk and water in the ratio 4: 1. The volume of the contents is increased by 40% by adding water to it. From this solution, 5 L are drawn out and replaced with 5 L of milk. If the solution now has five parts milk and three parts water, find the initial volume of the container.
a)	28.56 L
b)	14.28 L
c)	15 L
d)	24 L

Q.7	Fill in the blank: The value of Polynomial P(x) =2x³+ 6x²+ 5x - 3 at x = -1 is _____.
a)	-1
b)	-2
c)	-3
d)	-4

Q.8	Look at the image given below and find the value of ∠BTQ.
a)	30⁰
b)	45⁰
c)	75⁰
d)	90⁰

Q.9	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.10	A tangent to a circle (centre O) drawn from an exterior point T to the circle and touches the circle at a point P on the circumference. Which of the following statement is TRUE?
a)	∠TPO > 90°
b)	∠TPO < 180°
c)	∠TPO < 90°
d)	∠TPO = 90°

Your Score: 0/10

Sample PDF of SOF - International Mathematics 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 )a	Q.2 )c	Q.3 )a	Q.4 )a	Q.5 )d	Q.6 )a	Q.7 )d	Q.8 )c	Q.9 )a	Q.10 )d

Answers to Sample Questions from Olympiad Success:

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

Other Classes Sample Papers

Other Subjects Sample Papers

Learn how to
Register and Take a free Trial