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

If –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k.

a) 9/8
b) 9/4
c) 9/5
d) 9/3

Q.2

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.3

Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.

a) A
b) B
c) C
d) D

Q.4

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.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

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.7

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.8

Find the value of sin² 10⁰ + sin² 80⁰:

a)

0

b)

1

c)

2

d)

3

Q.9

The median of the triangle ABC meets at point G, which of these is not true?

a)

Area of triangle AGC = Area of triangle BGC

b)

Area of triangle AGC = Area of triangle AGB

c)

Area of triangle AGC = (1/3) Area of triangle ABC

d)

None of these

Q.10

What will be the lateral surface area of a cylinder (in terms of radius r) whose height is twice of its radius?

a)

2πr3

b)

4πr2

c)

6πr2

d)

8πr2

Your Score: 0/10


Sample PDF of SOF - International Mathematics Olympiad (IMO) PDF Sample Papers for Class 10:


If your web browser doesn't have a PDF Plugin. Instead you can Click here to download the PDF


Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

SOF 2020-21 Olympiad Exam Dates Announced! Check here | Register for International Spell Bee 2020 Click here | IMO, IEO, NSO Level 2 Result Announced Check here | Register for Maths, Science, English, GK Olympiad Exam Click here | Find Olympiad Preparatory Material for Maths, Science, English, Cyber | Know About Scholarships & Competitive Exams | Check NCERT Solutions for Classes 6 to 10 | Check Success Store
  EXPLORE