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
Find the quadratic equation whose roots are reciprocal of the roots of the equation 3x2 - 20x + 17 = 0.
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
A three-digit number was chosen at random. Find the probability that its hundred's digit, ten's digit and unit's digit are consecutive integers in descending order.
Q.4
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.5
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.6
For an acute angle θ, sin θ + cos θ takes the greatest value when θ is:
Q.7
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.8
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.9
Write the general term in the expansion of (x2 -y)6:
Q.10
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.
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
a
Q.2
b
Q.3
c
Q.4
c
Q.5
c
Q.6
b
Q.7
a
Q.8
c
Q.9
b
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 : a | Q.2 : b | Q.3 : c | Q.4 : c | Q.5 : c | Q.6 : b | Q.7 : a | Q.8 : c | Q.9 : b | Q.10 : c
