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 |
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.2 |
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.3 |
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.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 |
What is the relation between my daughter and my mother's sister's father-in-law? |
| a) |
father |
| b) | grandfather |
| c) | great grandchild |
| d) | niece |
Q.6 |
Identify the identical figures from the following options given.  |
| a) |
(1, 5, 7), (3, 6, 8), (2, 4, 9) |
| b) | (1, 4, 7), (2, 6, 8), (3, 5, 9) |
| c) | (1, 5, 7), (2, 6, 8), (3, 4, 9) |
| d) | (5, 7, 9), (2, 6, 8), (1, 3, 4) |
Q.7 |
In the probability of getting a number greater than or equal to 3 in a throw of a biased dice is 5/6, then how many of the six numbers in the biased dice are definitely less than 3? |
| a) |
2 |
| b) | 3 |
| c) | 1 |
| d) | Cannot be determined |
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 |
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.10 |
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 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : d | Q.3 : a | Q.4 : a | Q.5 : c | Q.6 : c | Q.7 : b | Q.8 : b | Q.9 : d | Q.10 : b
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