**Sample PDF of CREST Mathematics Olympiad for Class 10:**

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**Section 1: **Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability.

**Achievers Section: **Higher Order Thinking Questions - Syllabus as per Section 1

Q.1 | Q.2 | Q.3 | Q.4 | Q.5 | Q.6 | Q.7 | Q.8 | Q.9 | Q.10 |

Q.1 |
If the first, second and last terms of an AP are a, b and c, respectively, then the sum is: |
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Q.2 |
Find the values of a and b for which 3x |
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Q.3 |
A three-digit number was chosen at random. Find the probability that its hundred's digit, ten's digit and unit's digit are consecutive integers in descending order. |
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Q.4 |
For an acute angle θ, sin θ + cos θ takes the greatest value when θ is: |
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Q.5 |
The angles of elevation of the top of a tower from two points at distances m and n metres are complementary. If the two points and the base of the tower are on the same straight line, then what will be the height of the tower? |
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Q.6 |
The average weight of A, B and C is 84 kg. If D joins the group, the average weight of the group becomes 80 kg. If another man E who weighs 3 kg more than D replaces A, then the average of B, C, D and E becomes 79 kg. What is the weight of A ? |
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Q.7 |
Which among the following is a singleton set? |
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Q.8 |
A square is drawn by joining midpoints of the sides of a square. Another square is drawn inside the second square in the same way and the process is continued indefinitely. If, the side of the first square is 16 cm, then what is the sum of the areas of all the squares? |
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Q.9 |
Ken and Paul can complete a job in 40 days and 50 days, respectively. They worked on alternative days to complete it. Find the minimum possible time in which they could have completed it. |
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Q.10 |
The arithmetic mean of the squares of the first n natural number is: |
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Practicing sample papers for CREST Mathematics Olympiad for class 10 is the best means to top the scoreboard in the examination. Sample papers are curated in such a way that it enables kids to have a closer look into the pattern & type of questions they will be encountered during the paper. All the questions asked in class 10 CMO are multiple-choice questions. Candidates should answer all questions in the exam as CREST Olympiads do not follow negative markings. Students by practicing Maths Olympiad previous years’ question papers for class 10 learn to manage time and able to analyze their preparation. The CREST Mathematics Olympiad sample papers are available on the website for easy access and free download.

Answers to Sample Questions from CREST Olympiads:

Q.1 : c | Q.2 : a | Q.3 : c | Q.4 : b | Q.5 : a | Q.6 : c | Q.7 : c | Q.8 : b | Q.9 : a | Q.10 : c

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