Indian Talent Olympiad - IMO PDF Sample Papers for Class 9
Class 9 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 |
Total surface area of cylinder is 151 cm². If its radius is 4 cm, find its height. |
| a) |
1 cm |
| b) | 2 cm |
| c) | 3 cm |
| d) | 4 cm |
Q.2 |
If a circular metal sheet is 0.65 cm thick and of 50 cm in diameter is melted and recast into cylindrical bar with 8 cm diameter then length of bar will be: |
| a) |
25.41 cm |
| b) | 35.41 cm |
| c) | 40.41 cm |
| d) | 25.39 cm |
Q.3 |
Find the value of y if the points A(5, y), B(1, 5), C(2, 1) and D(6, 2) are the vertices of the square. |
| a) |
5 |
| b) | 3 |
| c) | 6 |
| d) | 4 |
Q.4 |
Identify the identical figures from the following options.  |
| a) |
(1,7,9), (2,5,6), (3,4,8) |
| b) | (1,5,9), (2,6,7), (3,4,8) |
| c) | (1,7,8), (2,5,6), (3,4,9) |
| d) | (1,2,9), (5,6,7), 3,4,8 |
Q.5 |
Find x and y in the following figure:  |
| a) |
38⁰, 52⁰ |
| b) | 20⁰, 60⁰ |
| c) | 52⁰, 60⁰ |
| d) | None of these |
Q.6 |
In ΔPQR, ∠P = 60°, ∠Q = 50°. Which side of the triangle is the longest? |
| a) |
PQ |
| b) | QR |
| c) | PR |
| d) | None of these |
Q.7 |
Find the circumference of the circle with centre O.  |
| a) |
20π cm |
| b) | 25π cm |
| c) | 30π cm |
| d) | 35π cm |
Q.8 |
From the top of a light house 60⁰ metre high, with its base at the sea level, the angle of depression of a boat is 30⁰. The distance of the boat from the foot of the light-house is: |
| a) |
60√3 metres |
| b) | 60/√3 metres |
| c) | 60 metres |
| d) | 30√2 metres |
Q.9 |
Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line. |
| a) | A |
| b) | B |
| c) | C |
| d) | D |
Q.10 |
Look at the image given below and find BP.  |
| a) |
4 √10 cm |
| b) | 5√10 cm |
| c) | 6√10 cm |
| d) | 7√10 cm |
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Sample PDF of Indian Talent Olympiad - International Maths Olympiad (IMO) PDF Sample Papers for Class 9:
Answers to Sample Questions from Olympiad Success:
Q.1 : b | Q.2 : d | Q.3 : c | Q.4 : a | Q.5 : c | Q.6 : a | Q.7 : b | Q.8 : a | Q.9 : a | Q.10 : a
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