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 |
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.3 |
In a class of 15 students, on an average, each student got 12 books. If exactly two students received same number of books, and the average of books received by remaining students be an integer, then which of the following could be the number of received same number of books? |
| a) |
11 |
| b) | 15 |
| c) | 20 |
| d) | 25 |
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 |
Look at the image given below and find the value of ∠BTQ.  |
| a) |
30⁰ |
| b) | 45⁰ |
| c) | 75⁰ |
| d) | 90⁰ |
Q.6 |
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.7 |
A jar containing a mixture of milk and water has 55% milk. A part of this mixture is replaced by another mixture of milk and water having 20% milk. If now the mixture has 35% milk, what fraction of the jar was not replaced? |
| a) |
3/4 |
| b) | 4/7 |
| c) | 3/7 |
| d) | 4/3 |
Q.8 |
If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively: |
| a) | 3 and 5 |
| b) | 5 and 3 |
| c) | 3 and 1 |
| d) | –1 and –3 |
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 |
What is the value of D in the equation 9x² + 15x + 4 = 0? |
| a) |
125 |
| b) | 49 |
| c) | 81 |
| d) | 100 |
Your Score: 0/10
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : a | Q.3 : d | Q.4 : a | Q.5 : c | Q.6 : d | Q.7 : a | Q.8 : c | Q.9 : d | Q.10 : c
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