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
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.3
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.
Q.4
Which among the following is a singleton set?
Q.5
Solve and find the roots of the equation: 2(x2 - 6) = 3(x - 4)
Q.6
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.7
If the first, second and last terms of an AP are a, b and c, respectively, then the sum is:
Q.8
A certain strain of virus occurs three times every 25 minutes. In how much time will it become 729 times its initial value?
Q.9
If 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, find the value of 'b'.
Q.10
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?
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
d
Q.2
b
Q.3
c
Q.4
c
Q.5
d
Q.6
d
Q.7
c
Q.8
c
Q.9
c
Q.10
a
Answers to Sample Questions from CREST Olympiads:
Q.1 : d | Q.2 : b | Q.3 : c | Q.4 : c | Q.5 : d | Q.6 : d | Q.7 : c | Q.8 : c | Q.9 : c | Q.10 : a
