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

Find perimeter of ΔPQR?



a)

16 cm

b)

26 cm

c)

28 cm

d)

65 cm

Q.2

Find the value of sin² 10⁰ + sin² 80⁰:

a)

0

b)

1

c)

2

d)

3

Q.3

Fill in the blank:

The value of Polynomial P(x) =2x3+6x2+5x-3 at x = -1 is _____.

a)

-1

b)

-2

c)

-3

d)

-4

Q.4

A tangent to a circle (centre O) drawn from an exterior point T to the circle and touches the circle at a point P on the circumference. Which of the following statement is TRUE?

a)

∠TPO > 90°

b)

∠TPO < 180°

c)

∠TPO < 90°

d)

∠TPO = 90°

Q.5

In figure AB = 8 cm, BC = 12 cm and AE = 6 cm. Find area of the rectangle BCDE.



a)

120 cm²

b)

190 cm²

c)

220 cm²

d)

150 cm²

Q.6

Two circles having same centres are called __________.

a)

incentric circles

b)

concentric circles

c)

centric circles

d)

Ellipse

Q.7

If x = sin²θ and y = cos²θ +1, then find the value of x+y.

a)

0

b)

1

c)

2

d)

3

Q.8

At Bilal’s Discount Hardware everything is sold for 30% less than the market price. If Bilal’s buys tool bits for Rs.96, What price should he marked them if he wants to make a 20% profit on his cost?

a)

117

b)

127

c)

146

d)

164

Q.9

Identify the similar pair of words as given below:

Stone: Sculpture:: 

a)

Mural: Painting

b)

Opera: Stage

c)

Canvas : Easel

d)

Clay: Pottery

Q.10

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 

Z, T, ?, H, B

a)

N

b)

L

c)

P

d)

None of these

Your Score: 0/10


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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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