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 |
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.2 |
If 4th and 8th terms of an A.P. are 11 and 23 respectively, find a and d. |
| a) | a = 2, d = 3 |
| b) | a = 2, d = 2 |
| c) | a = 3, d = 3 |
| d) | a = 1, d = 3 |
Q.3 |
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.4 |
Which prime numbers will be repeatedly multiplied in prime factorization of 3200? |
| a) |
2 and 5 |
| b) | 4 and 2 |
| c) | 2 and 6 |
| d) | 5 and 8 |
Q.5 |
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.6 |
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.7 |
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.8 |
Identify the identical figures from the following options given.  |
| a) |
(1, 5, 7), (3, 6, 8), (2, 4, 9) |
| b) | (1, 4, 7), (2, 6, 8), (3, 5, 9) |
| c) | (1, 5, 7), (2, 6, 8), (3, 4, 9) |
| d) | (5, 7, 9), (2, 6, 8), (1, 3, 4) |
Q.9 |
T has child J. J has children M and N. M is married to C and has a child O. What is the relation between O and T? |
| a) |
mother-in-law |
| b) | father-in-law |
| c) | grandparent |
| d) | great grandparent |
Q.10 |
Look at the image given below and find the value of ∠BTQ.  |
| a) |
30⁰ |
| b) | 45⁰ |
| c) | 75⁰ |
| d) | 90⁰ |
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 : c | Q.2 : a | Q.3 : a | Q.4 : a | Q.5 : d | Q.6 : a | Q.7 : b | Q.8 : c | Q.9 : d | Q.10 : c
Other Classes Sample Papers
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