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
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.2
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?
Q.3
Find the values of a and b for which 3x3 - ax2 - 74x + b is a multiple of x2 + 2x - 24.
Q.4
Write the general term in the expansion of (x2 -y)6:
Q.5
If the first, second and last terms of an AP are a, b and c, respectively, then the sum is:
Q.6
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.7
If [(x - a)/(b + c)] + [(x - b)/(c + a)] + [(x - c)/(a + b)] = 3, then find the value of x:
Q.8
Which term is numerically greatest term in the expansion of (3 + 2x)49, when x = 1/5?
Q.9
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.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
d
Q.2
a
Q.3
a
Q.4
b
Q.5
c
Q.6
c
Q.7
b
Q.8
c
Q.9
c
Q.10
a
Answers to Sample Questions from CREST Olympiads:
Q.1 : d | Q.2 : a | Q.3 : a | Q.4 : b | Q.5 : c | Q.6 : c | Q.7 : b | Q.8 : c | Q.9 : c | Q.10 : a
