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.


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 one of the roots of quadratic equation 7y2 - 50y + k = 0 is 7, then what is the value of k?

a) 1
b) 7
c) 50/7
d) 7/50

Q.2

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.3

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

Q.4

A number when divided by 361 gives a remainder 47. If the same number is divided by 19, what will be the remainder?

a) 1
b) 3
c) 8
d) 9

Q.5

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.6

Two circles C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D and C2 in A, B respectively. If ∠BDC = 120°, then find the value of ∠ABP?

a) 80°
b) 60°
c) 100°
d) 120°

Q.7

Find the least value of 2sin2θ + 3cos2θ?

a) 3
b) 4
c) 2
d) 1

Q.8

1 yr ago, a mother was 4 times older to her son. After 6 yr. her age becomes more than double her son's age by 5 yr. Find the present ratio of their age?

a) 13 : 12
b) 11 : 3
c) 3 : 1
d) 25 : 7

Q.9

If 4x = sec θ and 4/x = tanθ then find 8(x2 - 1/x2)?

a) 1/2
b) 1/16
c) 1/4
d) 1/8

Q.10

A piece of equipment cost a certain factory 600,000. If it depreciates in value, 15% the first year, 13.5 % the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?

a) 2,00,000
b) 1,05,000
c) 4,05,000
d) 6,50,000

Your Score: 0/10



Answers to Sample Questions from Olympiad Success:

Q.1bQ.2aQ.3bQ.4dQ.5cQ.6bQ.7cQ.8dQ.9aQ.10b

Answers to Sample Questions from Olympiad Success:

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

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