CREST Mathematics Olympiad Class 10 Sample Papers

Ace in Mathematics Olympiads!

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Syllabus:

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

In the binomial expansion of (a - b)n, n ≥ 5 the sum of the 5th and 6th terms is zero. Find the value of a/b:

Q.2

If 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, find the value of 'b':

Q.3

If the sum of the roots of the equation ax2 + bx + c = 0 is equal to the sum of their squares, then which one of the following is correct?

Q.4

Two verticles of a triangle are (5, -1) and (-2, 3). If the orthocentre of the triangle is the origin, find the third vertex:

Q.5

The volume of a pyramid whose base is an equilateral triangle is 12 cm3. If the height of the pyramid is 3√3 cm, then find the length of each side of the base:

Q.6

30% of the items were sold at a profit of 40% while the remaining were sold at x% loss. If the overall loss is 10%, find the value of x:

Q.7

To divide a line segment AB in the ratio 2: 5, first a ray AX is drawn, so that ∠BAX is an acute angle and then at equal distance points are marked on the ray AX such that the minimum number of these point is:

Q.8

If cos x / (1 + cosec x) + cos x / (cosec x - 1) = 2, then which one of the following is one of the values of x?

Q.9

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 ?

Q.10

For an acute angle θ, sin θ + cos θ takes the greatest value when θ is:

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Answers to Sample Questions from CREST Olympiads:

Q.1bQ.2cQ.3cQ.4dQ.5cQ.6cQ.7dQ.8cQ.9cQ.10b

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

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