Indian Talent Olympiad - IMO PDF Sample Papers for Class 10
Class 10 sample paper & practice questions for International Maths Olympiad (IMO) 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 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.2 |
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.3 |
Find the perimeter of ΔPQR.  |
| a) |
16 cm |
| b) | 26 cm |
| c) | 28 cm |
| d) | 65 cm |
Q.4 |
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.5 |
Match the statements of Column A with the values of Column B:
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| a) |
(i) - (A); (ii) - (C); (iii) - (B); (iv) - (D) |
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| b) | (i) - (D); (ii) - (C); (iii) - (B); (iv) - (A) |
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| c) | (i) - (D); (ii) - (B); (iii) - (A); (iv) - (C) |
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| d) | (i) - (C); (ii) - (B); (iii) - (D); (iv) - (A) |
Q.6 |
If you stand at the centre, and face towards South. Now you move at an angle of 100 degrees clockwise, then in which direction do you face now? |
| a) |
North |
| b) | South |
| c) | North-West |
| d) | South-West |
Q.7 |
What will be the remainder if f(x) = x³ + 4x² – 3x + 1 is divided by (x – 2)? |
| a) | 18 |
| b) | 20 |
| c) | 19 |
| d) | 31 |
Q.8 |
What is the value of D in the equation 9x² + 15x + 4 = 0? |
| a) |
125 |
| b) | 49 |
| c) | 81 |
| d) | 100 |
Q.9 |
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.10 |
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 |
Your Score: 0/10
Sample PDF of Indian Talent Olympiad - International Maths Olympiad (IMO) PDF Sample Papers for Class 10:
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Answers to Sample Questions from Olympiad Success:
Q.1 : a | Q.2 : b | Q.3 : c | Q.4 : b | Q.5 : b | Q.6 : c | Q.7 : c | Q.8 : c | Q.9 : d | Q.10 : b
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