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	6x – 3y + 10 = 0, 2x – y + 9 = 0 represents two lines which are:
a)	Intersecting at exactly one point
b)	Intersecting at exactly two points
c)	Coincident
d)	Parallel

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	What is the value of D in the equation 9x² + 15x + 4 = 0?
a)	125
b)	49
c)	81
d)	100

Q.4	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.5	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.6	A man has 30 cookies. He ate one-third of the cookies and divided the remaining between his children in the ratio 5: 3: 2. What is the difference between the number of cookies eaten by the man and the minimum number of cookies received by any of the children?
a)	6
b)	0
c)	4
d)	None of these

Q.7	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.8	In figure AB = 8 cm, BC = 12 cm and AE = 6 cm. Find area of the rectangle BCDE.
a)	120 cm²
b)	190 cm²
c)	220 cm²
d)	150 cm²

Q.9	Find the perimeter of ΔPQR.
a)	16 cm
b)	26 cm
c)	28 cm
d)	65 cm

Q.10	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

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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