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
If sin A = √3/2 and A is an acute angle, then find the value of (tanA - cot A)/(√3 + cosec A).
Q.2
f(x) = x4 - 2x3 + 3x2 - ax + b is a polynomial such that when it is divided by (x - 1) and (x + 1), the remainders are 5 and 19, respectively. Determine the remainder when f(x) is divided by (x - 2).
Q.3
Write the general term in the expansion of (x2 -y)6:
Q.4
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.5
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.6
For an acute angle θ, sin θ + cos θ takes the greatest value when θ is:
Q.7
The houses of a row are numbered consecutively from 1 to 49. If there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find the value of x.
Q.8
If the first, second and last terms of an AP are a, b and c, respectively, then the sum is:
Q.9
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.10
If 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, find the value of 'b'.
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Answers to Sample Questions from CREST Olympiads:
Q.1
b
Q.2
b
Q.3
b
Q.4
a
Q.5
c
Q.6
b
Q.7
d
Q.8
c
Q.9
c
Q.10
c
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 : c | Q.6 : b | Q.7 : d | Q.8 : c | Q.9 : c | Q.10 : c
