The Class 10 Maths Olympiad Sample Paper is a great tool for students to practise advanced concepts, improve accuracy, and get familiar with the Olympiad format.
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
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.2
A certain strain of virus occurs three times every 25 minutes. In how much time will it become 729 times its initial value?
Q.3
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.4
Which term is numerically greatest term in the expansion of (3 + 2x)49, when x = 1/5?
Q.5
If the first, second and last terms of an AP are a, b and c, respectively, then the sum is:
Q.6
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.7
Which among the following is a singleton set?
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
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.10
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.
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
c
Q.2
c
Q.3
d
Q.4
c
Q.5
c
Q.6
b
Q.7
c
Q.8
c
Q.9
b
Q.10
a
Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : c | Q.3 : d | Q.4 : c | Q.5 : c | Q.6 : b | Q.7 : c | Q.8 : c | Q.9 : b | Q.10 : a
