CREST Mathematics Olympiad Class 10 Sample Paper

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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

Find the value of x + y in the solution of the equations x/4 + y/3 = 5/12 and x/2 + y = 1:

Q.2

The shadow of a pole standing on a horizontal plane is d metre longer when the Sun's altitude is α than when it is β. What is the height of the pole?

Q.3

If sin A = √3/2 and A is an acute angle, then find the value of (tanA - cot A)/(√3 + cosec A).

Q.4

If tan A = 1/2 and tan B = 1/3, then which of the following is true?

Q.5

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Find the number of sides of each polygon.

Q.6

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.

Q.7

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

Q.8

Solve and find the roots of the equation:
2(x2 - 6) = 3(x - 4)

Q.9

In the adjoining figure, the bottom of the glass has a hemispherical raised portion. If the glass is filled with orange juice, then find the quantity of juice which a person will get:



Q.10

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

Your Score: 0/10

Answers to Sample Questions from CREST Olympiads:

Q.1bQ.2cQ.3bQ.4aQ.5aQ.6aQ.7dQ.8dQ.9bQ.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 : b | Q.4 : a | Q.5 : a | Q.6 : a | Q.7 : d | Q.8 : d | Q.9 : b | Q.10 : b

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