CREST Olympiads - CMO PDF Sample Papers for Class 9
Class 9 sample paper & practice questions for CREST Mathematics Olympiad (CMO) 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 CMO exam.
Q.1 |
From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of 20 m high building are 45⁰ and 60⁰ respectively. Find the height of the tower? |
| a) |
20√3 m |
| b) | 60 m |
| c) | 20(√3 -1 ) m |
| d) | 40√3 m |
Q.2 |
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.3 |
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.4 |
In a two digit number, the unit's digit exceeds the ten's digit by 2 and the product of the number and the sum of its digits is 144. Find the number. |
| a) |
24 |
| b) | 26 |
| c) | 42 |
| d) | 46 |
Q.5 |
If surface area of sphere is 144π cm². What is its radius? |
| a) |
5 cm |
| b) | 6 cm |
| c) | 7 cm |
| d) | 8 cm |
Q.6 |
Identify the identical figures from the following options.  |
| a) |
(1,2,5), (3,8,9), (4,6,7) |
| b) | (1,2,5), (4,7,8), (5,6,9) |
| c) | (1,2,5), (3,7,8), (4,6,9) |
| d) | (1,3,5), (2,7,8) (4,6,9) |
Q.7 |
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.8 |
Find the circumference of the circle with centre O.  |
| a) |
20π cm |
| b) | 25π cm |
| c) | 30π cm |
| d) | 35π cm |
Q.9 |
What is the length of the largest rod that can be put in a box of inner dimensions 30 cm, 24 cm and 18 cm? |
| a) |
20 √2 cm |
| b) | 50 cm |
| c) | 60 cm |
| d) | 30 √2 cm |
Q.10 |
Radius of sphere is 8 cm. How many small spheres of radii 4 cm can be formed out of it? |
| a) |
2 |
| b) | 4 |
| c) | 6 |
| d) | 8 |
Your Score: 0/10
Sample PDF of CREST Olympiads - CREST Mathematics Olympiad (CMO) PDF Sample Papers for Class 9:
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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 : b | Q.6 : c | Q.7 : d | Q.8 : b | Q.9 : d | Q.10 : d
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