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 |
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.2 |
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.3 |
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.4 |
A tangent to a circle (centre O) drawn from an exterior point T to the circle and touches the circle at a point P on the circumference. Which of the following statement is TRUE? |
| a) |
∠TPO > 90° |
| b) | ∠TPO < 180° |
| c) | ∠TPO < 90° |
| d) | ∠TPO = 90° |
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 |
Find the value of sin² 10⁰ + sin² 80⁰: |
| a) |
0 |
| b) | 1 |
| c) | 2 |
| d) | 3 |
Q.7 |
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.8 |
Find the perimeter of ΔPQR.  |
| a) |
16 cm |
| b) | 26 cm |
| c) | 28 cm |
| d) | 65 cm |
Q.9 |
The following question is based on the following alphabet series. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z |
| a) |
N |
| b) | L |
| c) | P |
| d) | None of these |
Q.10 |
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 |
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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 : b | Q.2 : d | Q.3 : a | Q.4 : d | Q.5 : d | Q.6 : b | Q.7 : b | Q.8 : c | Q.9 : a | Q.10 : c
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