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

If f(x) = x² – 5x – 14, find the value of f(7).

a)

-1

b)

1

c)

0

d)

3

Q.2

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.3

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.4

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)

Rs. 150

b)

Rs. 200

c)

Rs. 250

d)

Rs. 300

Q.5

Look at the image given below and find the value of ∠BTQ.



a)

30⁰

b)

45⁰

c)

75⁰

d)

90⁰

Q.6

A jar containing a mixture of milk and water has 55% milk. A part of this mixture is replaced by another mixture of milk and water having 20% milk. If now the mixture has 35% milk, what fraction of the jar was not replaced?

a)

3/4

b)

4/7

c)

3/7

d)

4/3

Q.7

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.8

The value of an old bike decreases every year at the rate of 4% over that of the previous year. If its value at the end of years is ₹ 13824, then find its present value.

a)

₹ 15,625

b)

₹ 14,525

c)

₹ 16,625

d)

₹ 15,425

Q.9

In the probability of getting a number greater than or equal to 3 in a throw of a biased dice is 5/6, then how many of the six numbers in the biased dice are definitely less than 3?

a)

2

b)

3

c)

1

d)

Cannot be determined

Q.10

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

Your Score: 0/10


Sample PDF of Unified Council - Unified International Mathematics Olympiad (UIMO) PDF Sample Papers for Class 10:


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Answers to Sample Questions from Olympiad Success:
Q.1 )cQ.2 )cQ.3 )dQ.4 )bQ.5 )cQ.6 )aQ.7 )bQ.8 )aQ.9 )bQ.10 )d

Answers to Sample Questions from Olympiad Success:

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

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