Mathematics Olympiad Questions For Class 10 Pdf

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.

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	T has child J. J has children M and N. M is married to C and has a child O. What is the relation between O and T?
a)	mother-in-law
b)	father-in-law
c)	grandparent
d)	great grandparent

Q.2	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.3	What is the value of D in the equation 9x² + 15x + 4 = 0?
a)	125
b)	49
c)	81
d)	100

Q.4	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.5	What will be the remainder if f(x) = x³ + 4x² – 3x + 1 is divided by (x – 2)?
a)	18
b)	20
c)	19
d)	31

Q.6	If you stand at the centre, and face towards South. Now you move at an angle of 100 degrees clockwise, then in which direction do you face now?
a)	North
b)	South
c)	North-West
d)	South-West

Q.7	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.8	Find the value of sin² 10⁰ + sin² 80⁰:
a)	0
b)	1
c)	2
d)	3

Q.9	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