SilverZone - IOM PDF Sample Papers for Class 10

Class 10 sample paper & practice questions for International Olympiad of Mathematics (IOM) 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.

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Q.1	The average age of 5 members of a committee is the same as it was 3 years ago, because an old member has been replaced by a new member.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.2	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.3	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.4

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.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	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.7	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.8	Gunjan walks 12m due East and then 5m due North. At what distance is Gunjan from the starting point?
a)	10m
b)	13m
c)	11m
d)	15m

Q.9	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

Q.10	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°

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Answers to Sample Questions from Olympiad Success:

Q.1 )d	Q.2 )b	Q.3 )a	Q.4 )b	Q.5 )a	Q.6 )d	Q.7 )d	Q.8 )b	Q.9 )d	Q.10 )d

Answers to Sample Questions from Olympiad Success:

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

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