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.

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

Ankit and Anuj started simultaneously from X and Y respectively. Each person started towards the starting point of the other XY = 18 km. The speeds of Ankit and Anuj throughout their journeys were 5 kmph and 4 kmph respectively. On reaching X or Y, each turned back immediately to resume the journey to his starting point. Find the total distance travelled by Ankit before meeting Anuj for the second time. (in m)

a)

30

b)

27

c)

24

d)

33

Q.2

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.3

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.4

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.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

In a certain language, if "chi to le" means "We are citizen" and "chi to nu" means "We are nice", then what word represents the word "nice"?

a) NU
b) EE
c) TU
d) TO

Q.7

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

a)

-1

b)

1

c)

0

d)

3

Q.8

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.9

Which of these is false?

a)

The diagonal of the parallelogram divide the parallelogram into four equal parts

b)

Area of parallelogram is base multiplied by the height

c)

If EFGH are the respective midpoints of the sides of the parallelogram ABCD, Area of EFGH is half the area of the parallelogram

d)

None of these

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°

Your Score: 0/10


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

Answers to Sample Questions from Olympiad Success:

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

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