SOF - IMO Level 2 Sample Papers for Class 10

Class 10 sample paper & practice questions for the level 2 of International Mathematics Olympiad (IMO) are given below. Syllabus for level 2 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 sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
a)	1,49,700
b)	1,52,897
c)	1,64,749
d)	1,64,850

Q.2	Students of a class are made to stand in rows. If 4 students are extra in each row, there would be 2 rows less. If 4 students are less in each row, there would be 4 more rows. Find the number of students in the class.
a)	94
b)	96
c)	90
d)	92

Q.3	The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.
a)	44
b)	22
c)	18
d)	42

Q.4	The area of a sector of a circle of radius 36 cm is 72π cm². Find the length of the corresponding arc of the sector.
a)	2π cm
b)	π cm
c)	4π cm
d)	3π cm

Q.5	For what value of k, the equation x² + 2(k - 4) x + 2k = 0 has equal roots?
a)	12 and 2
b)	6 and 4
c)	10 and 4
d)	8 and 2

Q.6	The volume of a hollow cube is 216cm³. What surface area of the largest sphere which be enclosed in it?
a)	18π cm²
b)	72π cm²
c)	36π cm²
d)	27π cm²

Q.7	What will come in place of the question mark (?) in the following number series? 1727, 1333, 997, ?, 507
a)	733
b)	752
c)	754
d)	775

Q.8	A factory produces four different types of products, P, Q, R and S. The chances that a random piece of products P, Q, R and S is found to be defective are 20%, 30%, 5% and 10%, respectively. During an inspection, one piece of each product is randomly selected. What is the probability that exactly three of them are found to be defective?
a)	0.005
b)	0.0057
c)	0.0103
d)	0.0124

Q.9	Find the odd term in the sequence: 0, 7, 26, 124, 217
a)	217
b)	7
c)	26
d)	63

Q.10	The arc AB of the circle with centre at O and radius 10 cm has length 16 cm. What is the area of the sector bounded by the radii OA, OB and the arc AB?
a)	40 sq cm
b)	80 sq cm
c)	20π sq cm
d)	40π sq cm

Your Score: 0/10

Subscribe for Level 2 Sample Papers and Start Practicing

Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

Other Classes Sample Papers

Other Subjects Sample Papers

Learn how to
Register and Take a free Trial