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.
Q.1 |
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.2 |
If 4th and 8th terms of an A.P. are 11 and 23 respectively, find a and d. |
| a) | a = 2, d = 3 |
| b) | a = 2, d = 2 |
| c) | a = 3, d = 3 |
| d) | a = 1, d = 3 |
Q.3 |
A container has milk and water in the ratio 4: 1. The volume of the contents is increased by 40% by adding water to it. From this solution, 5 L are drawn out and replaced with 5 L of milk. If the solution now has five parts milk and three parts water, find the initial volume of the container. |
| a) |
28.56 L |
| b) | 14.28 L |
| c) | 15 L |
| d) | 24 L |
Q.4 |
Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line. |
| a) | B |
| b) | D |
| c) | C |
| d) | A |
Q.5 |
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.6 |
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.7 |
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) | 4πr2 |
| c) | 6πr2 |
| d) | 8πr2 |
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 |
What is the value of D in the equation 9x² + 15x + 4 = 0? |
| a) |
125 |
| b) | 49 |
| c) | 81 |
| d) | 100 |
Q.10 |
Identify the similar pair of words as given below: Stone: Sculpture:: |
| a) |
Mural: Painting |
| b) | Opera: Stage |
| c) | Canvas : Easel |
| d) | Clay: Pottery |
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Answers to Sample Questions from Olympiad Success:
Q.1 : a | Q.2 : a | Q.3 : a | Q.4 : a | Q.5 : d | Q.6 : b | Q.7 : b | Q.8 : d | Q.9 : c | Q.10 : d
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