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
Find the value of x + y in the solution of the equations x/4 + y/3 = 5/12 and x/2 + y = 1:
Q.2
How many 5-digit odd numbers can be formed using the digits 2, 3, 5, 7, 8, and 9 if every digit can occur at most once in any number?
Q.3
A tower stands vertically on the ground. From a point on the ground which is 30 m away from the foot of a tower, the angle of elevation of the top of the tower is found to be 45⁰. Find the height of the tower.
Q.4
If the first, second and last terms of an AP are a, b and c, respectively, then the sum is:
Q.5
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.6
Simplify the following expression: [(a - b)3 - (a + b)3 ]/2 + a(a2 + 3b2)
Q.7
If 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, find the value of 'b'.
Q.8
If 1/(a + b), 1/(b + c), and 1/(c + a) are in AP, then which of the following is true?
Q.9
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.10
If p1 and p2 are two odd prime numbers such that p1 > p2, then p12 - p22 is:
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
b
Q.2
d
Q.3
b
Q.4
c
Q.5
b
Q.6
d
Q.7
c
Q.8
a
Q.9
a
Q.10
a
Answers to Sample Questions from CREST Olympiads:
Q.1 : b | Q.2 : d | Q.3 : b | Q.4 : c | Q.5 : b | Q.6 : d | Q.7 : c | Q.8 : a | Q.9 : a | Q.10 : a
