Unified Council - UIMO PDF Sample Papers for Class 10

Class 10 sample paper & practice questions for Unified International Mathematics Olympiad (UIMO) 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 UIMO 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

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.2

Two circles having same centres are called __________.

a)

incentric circles

b)

concentric circles

c)

centric circles

d)

Ellipse

Q.3

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.4

Simplify:–

(3+ √5)²(3 –√ 5)²

a)

2

b)

16

c)

55

d)

25

Q.5

If A gets 25% more than B and B gets 20% more than C. The share of C out of a sum of Rs.740 is:

a)

150

b)

200

c)

250

d)

300

Q.6

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.7

If 4th and 8th terms of an A.P. are 11 and 23 respectively, find a and d.

a) a = 2, d = 3
b) a = 2, d = 2
c) a = 3, d = 3
d) a = 1, d = 3

Q.8

What is the sum of first five multiples of 3?

a) 41
b) 46
c) 45
d) 48

Q.9

Find the value of sin² 10⁰ + sin² 80⁰:

a)

0

b)

1

c)

2

d)

3

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

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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