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	What is the relation between my daughter and my mother's sister's father-in-law?
a)	father
b)	grandfather
c)	great grandchild
d)	niece

Q.2	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.3	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.4	A dealer bought 80 cricket bats for ₹ 50 each. He sells 20 of them at a gain of 5%. What must be the gain percentage of the remaining bats, so as to get 10% gain on the whole?
a)	3 ²/₁₁ %
b)	12 ¹/₂ %
c)	11 ²/₃ %
d)	4 ²/₃ %

Q.5	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.6	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.7	What is the value of D in the equation 9x² + 15x + 4 = 0?
a)	125
b)	49
c)	81
d)	100

Q.8	Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.
a)	B
b)	D
c)	C
d)	A

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	In a class of 15 students, on an average, each student got 12 books. If exactly two students received same number of books, and the average of books received by remaining students be an integer, then which of the following could be the number of received same number of books?
a)	11
b)	15
c)	20
d)	25

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

Answers to Sample Questions from Olympiad Success:

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

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