CREST Olympiads - CMO PDF Sample Papers for Class 10
Class 10 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 |
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 |
What will be the lateral surface area of a cylinder (in terms of radius r) whose height is twice of its radius? |
| a) |
2πr3 |
| b) | 4πr2 |
| c) | 6πr2 |
| d) | 8πr2 |
Q.3 |
Gunjan walks 12m due East and then 5m due North. At what distance is Gunjan from the starting point? |
| a) | 10m |
| b) | 13m |
| c) | 11m |
| d) | 15m |
Q.4 |
A dealer bought 80 cricket bats for ₹ 50 each. He sells 20 of them at a gain of 5%. What must be the gain percentage of the remaining bats, so as to get 10% gain on the whole? |
| a) |
3 2/11 % |
| b) | 12 1/2 % |
| c) | 11 2/3 % |
| d) | 4 2/3 % |
Q.5 |
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.6 |
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.7 |
If x = sin²θ and y = cos²θ +1, then find the value of x + y. |
| a) |
0 |
| b) | 1 |
| c) | 2 |
| d) | 3 |
Q.8 |
If –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k. |
| a) | 9/8 |
| b) | 9/4 |
| c) | 9/5 |
| d) | 9/3 |
Q.9 |
A jar containing a mixture of milk and water has 55% milk. A part of this mixture is replaced by another mixture of milk and water having 20% milk. If now the mixture has 35% milk, what fraction of the jar was not replaced? |
| a) |
3/4 |
| b) | 4/7 |
| c) | 3/7 |
| d) | 4/3 |
Q.10 |
A man has 30 cookies. He ate one-third of the cookies and divided the remaining between his children in the ratio 5: 3: 2. What is the difference between the number of cookies eaten by the man and the minimum number of cookies received by any of the children? |
| a) |
6 |
| b) | 0 |
| c) | 4 |
| d) | None of these |
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Sample PDF of CREST Olympiads - CREST Mathematics Olympiad (CMO) PDF Sample Papers for Class 10:
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : b | Q.3 : b | Q.4 : c | Q.5 : d | Q.6 : d | Q.7 : c | Q.8 : b | Q.9 : a | Q.10 : a
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