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 is the relation between my daughter and my mother's sister's father-in-law? |
| a) |
father |
| b) | grandfather |
| c) | great grandchild |
| d) | niece |
Q.2 |
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 |
Q.3 |
If H.C.F. of two numbers is 68 and 85 is 17. What is the L.C.M. of two numbers? |
| a) | 340 |
| b) | 350 |
| c) | 360 |
| d) | 370 |
Q.4 |
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.5 |
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.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 |
Fill in the blank: The value of Polynomial P(x) =2x3 + 6x2 + 5x - 3 at x = -1 is _____. |
| a) |
-1 |
| b) | -2 |
| c) | -3 |
| d) | -4 |
Q.8 |
If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively: |
| a) | 3 and 5 |
| b) | 5 and 3 |
| c) | 3 and 1 |
| d) | –1 and –3 |
Q.9 |
If f(x) = x² – 5x – 14, find the value of f(7). |
| a) |
-1 |
| b) | 1 |
| c) | 0 |
| d) | 3 |
Q.10 |
If diameter of cylinder is 8 cm and its height is 16 cm then volume of cylinder is: |
| a) |
804.352 cm3 |
| b) | 810.465 cm3 |
| c) | 750.352 cm3 |
| d) | 850.098 cm3 |
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Sample PDF of Indian Talent Olympiad - International Maths Olympiad (IMO) PDF Sample Papers for Class 10:
Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : b | Q.3 : a | Q.4 : d | Q.5 : c | Q.6 : a | Q.7 : d | Q.8 : c | Q.9 : c | Q.10 : a
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