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 |
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° |
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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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