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

In ∆ABC, ∠B = 90⁰. P, Q and R are the midpoints of AB, BC and AC, respectively. Which of the following options can be the vertices of a cyclic quadrilateral?

Q.2

Write the general term in the expansion of (x2 -y)6:

Q.3

If the coefficients of rth term and (r + 1)th term in the expansion of (1 + x)20 are in the ratio 1:2, what is the value of r?

Q.4

The following steps are involved in finding a number, if the positive number is less than its square by 30. Arrange them in sequential order:

(A) x2 - x - 30 = 0
(B) x = 6
(C) x2 - x = 30
(D) (x + 5) (x - 6) = 0

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?

Q.6

Simplify the following expression:
[(a - b)3 - (a + b)3 ]/2 + a(a2 + 3b2

Q.7

W borrowed a certain sum of money from X at the rate of 10% per annum under simple interest and lent one-fourth of the amount to Y at 8% per annum under simple interest and the remaining amount to Z at 15% per annum under simple interest. If at the end of 15 years, W made a profit of $5850 in the deal, then find the sum that W had lent to Z.

Q.8

The volume of the vessel, in the form of a right circular cylinder, is 448π cmand its height is 7 cm. What is the radius of its base?

Q.9

A certain strain of virus occurs three times every 25 minutes. In how much time will it become 729 times its initial value?

Q.10

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 unit. The distance between their feet is equal to b units. Find the area of the rhombus.

Your Score: 0/10

Answers to Sample Questions from CREST Olympiads:

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

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

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