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	If x = sin²θ and y = cos²θ +1, then find the value of x + y.
a)	0
b)	1
c)	2
d)	3

Q.2	In a certain language, if "chi to le" means "We are citizen" and "chi to nu" means "We are nice", then what word represents the word "nice"?
a)	NU
b)	EE
c)	TU
d)	TO

Q.3	Identify the identical figures from the following options given.
a)	(1, 5, 7), (3, 6, 8), (2, 4, 9)
b)	(1, 4, 7), (2, 6, 8), (3, 5, 9)
c)	(1, 5, 7), (2, 6, 8), (3, 4, 9)
d)	(5, 7, 9), (2, 6, 8), (1, 3, 4)

Q.4	If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively:
a)	3 and 5
b)	5 and 3
c)	3 and 1
d)	–1 and –3

Q.5	Gunjan walks 12m due East and then 5m due North. At what distance is Gunjan from the starting point?
a)	10m
b)	13m
c)	11m
d)	15m

Q.6	The value of an old bike decreases every year at the rate of 4% over that of the previous year. If its value at the end of years is ₹ 13824, then find its present value.
a)	₹ 15,625
b)	₹ 14,525
c)	₹ 16,625
d)	₹ 15,425

Q.7	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.8	A batsman played three matches in a tournament. The ratio of the score of 1st to 2nd match was 8: 9 and that of the score of 2nd to 3rd match was 3: 2. The difference between the 1st and the 3rd match was 16 runs. What was the batsman's average score in all three matches?
a)	40
b)	58
c)	45 ¹/₅
d)	61 ¹/₃

Q.9	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.10	Find the perimeter of ΔPQR.
a)	16 cm
b)	26 cm
c)	28 cm
d)	65 cm

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Sample PDF of SOF - International Mathematics Olympiad (IMO) PDF Sample Papers for Class 10:

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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