CREST Mathematics Olympiad Class 10 Sample Papers

Sample PDF of CREST Mathematics Olympiad for Class 10:


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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

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?

Q.2

A bag contains 63 cards (numbered 1, 2, 3, ….., 63). Two cards are picked at random from the bag (one after another and without replacement). What is the probability that the sum of the numbers of both the cards drawn is even?

Q.3

Perpendiculars are drawn from the vertex of the obtuse angles of a rhombus to its sides. The length of each perpendicular is equal to a units. The distance between their feet being equal to b units. Find the area of the rhombus:

Q.4

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.5

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

Q.6

If p1 and p2 are two odd prime numbers such that p1 > p2, then p12 - p22 is:

Q.7

If 1/(a + b), 1/(b + c), and 1/(c + a) are in AP, then which of the following is true?

Q.8

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

Q.9

Which among the following is a singleton set?

Q.10

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:

Your Score: 0/10

Answers to Sample Questions from CREST Olympiads:

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

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

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