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.

Resources:

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

Match the statements of Column A with the values of Column B:

Column A	Column B
i. Total surface area of a cylinder whose height is / and base radius is r	A. πrl/3
ii. Total surface area of a cone whose base radius is (r) with slant height l.	B. 3πrl
iii. Curved surface area of a cone frustum whose base radius is equal to twice to the radius of its top (r) and slant height l.	C. πr(l + r)
iv. Curved surface area of a cone whose base radius is r and slant height is 1/3.	D. 2πr(l + r)

(i) - (A); (ii) - (C); (iii) - (B); (iv) - (D)

(i) - (D); (ii) - (C); (iii) - (B); (iv) - (A)

(i) - (D); (ii) - (B); (iii) - (A); (iv) - (C)

(i) - (C); (ii) - (B); (iii) - (D); (iv) - (A)

Q.3	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.4	Every number on the number line represents a ________ number which is either _________ or _________.
a)	Real, Rational, Irrational
b)	Complex, Rational, Irrational
c)	System, Rational, Irrational
d)	None of these

Q.5	If H.C.F. of two numbers is 68 and 85 is 17. What is the L.C.M. of two numbers?
a)	340
b)	350
c)	360
d)	370

Q.6	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)	4πr^₂
c)	6πr^₂
d)	8πr^₂

Q.7	The average age of 5 members of a committee is the same as it was 3 years ago, because an old member has been replaced by a new member. The difference between the ages of old and new member is:
a)	2 years
b)	4 years
c)	8 years
d)	15 years

Q.8	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.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	A paper is in the form of a square of side 20 cm. Semicircle are down inside the square paper on two sides as diameter. The semi-circular portions are cut off. Find the remaining paper.
a)	87 cm²
b)	86.3 cm²
c)	86 cm²
d)	85.7 cm²

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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 )c	Q.2 )b	Q.3 )d	Q.4 )a	Q.5 )a	Q.6 )b	Q.7 )d	Q.8 )d	Q.9 )d	Q.10 )d

Answers to Sample Questions from Olympiad Success:

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

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