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 |
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.2 |
Find the perimeter of ΔPQR.  |
| a) |
16 cm |
| b) | 26 cm |
| c) | 28 cm |
| d) | 65 cm |
Q.3 |
In figure AB = 8 cm, BC = 12 cm and AE = 6 cm. Find area of the rectangle BCDE.  |
| a) |
120 cm² |
| b) | 190 cm² |
| c) | 220 cm² |
| d) | 150 cm² |
Q.4 |
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.5 |
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.6 |
The following question is based on the following alphabet series. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z |
| a) |
N |
| b) | L |
| c) | P |
| d) | None of these |
Q.7 |
A container has milk and water in the ratio 4: 1. The volume of the contents is increased by 40% by adding water to it. From this solution, 5 L are drawn out and replaced with 5 L of milk. If the solution now has five parts milk and three parts water, find the initial volume of the container. |
| a) |
28.56 L |
| b) | 14.28 L |
| c) | 15 L |
| d) | 24 L |
Q.8 |
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.9 |
What is the probability of getting a total of less than 12 in the throws of two dice? |
| a) | 16/36 |
| b) | 25/36 |
| c) | 35/36 |
| d) | 26/36 |
Q.10 |
If A, B, D are 3 points in a ground. A is to the West of B, B is to the North of D, and D is to the South-East of A, what angles does BAD make? |
| a) | 180 |
| b) | 125 |
| c) | 90 |
| d) | 45 |
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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 : d | Q.2 : c | Q.3 : a | Q.4 : a | Q.5 : a | Q.6 : a | Q.7 : a | Q.8 : a | Q.9 : c | Q.10 : d
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