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 |
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 |
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.3 |
What is the value of D in the equation 9x² + 15x + 4 = 0? |
| a) |
125 |
| b) | 49 |
| c) | 81 |
| d) | 100 |
Q.4 |
Look at the image given below and find the value of ∠BTQ.  |
| a) |
30⁰ |
| b) | 45⁰ |
| c) | 75⁰ |
| d) | 90⁰ |
Q.5 |
If f(x) = x² – 5x – 14, find the value of f(7). |
| a) |
-1 |
| b) | 1 |
| c) | 0 |
| d) | 3 |
Q.6 |
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.7 |
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.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 |
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.10 |
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 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : a | Q.2 : a | Q.3 : c | Q.4 : c | Q.5 : c | Q.6 : d | Q.7 : d | Q.8 : d | Q.9 : a | Q.10 : d
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