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
What is the value of the expression [(a - b)3 + (b - c)3 + (c - a)3] / [(a - b)(b - c)(c-a)]?
Q.2
Two vertices of a triangle are (5, -1) and (-2, 3). If the orthocentre of the triangle is the origin, find the third vertex.
Q.3
Which term is numerically greatest term in the expansion of (3 + 2x)49, when x = 1/5?
Q.4
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.5
Find the values of a and b for which 3x3 - ax2 - 74x + b is a multiple of x2 + 2x - 24.
Q.6
Which among the following is a singleton set?
Q.7
If 1/(a + b), 1/(b + c), and 1/(c + a) are in AP, then which of the following is true?
Q.8
If the first, second and last terms of an AP are a, b and c, respectively, then the sum is:
Q.9
In the binomial expansion of (a - b)n, n ≥ 5 the sum of the 5th and 6th terms is zero. Find the value of a/b.
Q.10
Simplify the following expression: [(a - b)3 - (a + b)3 ]/2 + a(a2 + 3b2)
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
d
Q.2
d
Q.3
c
Q.4
b
Q.5
a
Q.6
c
Q.7
a
Q.8
c
Q.9
b
Q.10
d
Answers to Sample Questions from CREST Olympiads:
Q.1 : d | Q.2 : d | Q.3 : c | Q.4 : b | Q.5 : a | Q.6 : c | Q.7 : a | Q.8 : c | Q.9 : b | Q.10 : d
