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
If 1/(a + b), 1/(b + c), and 1/(c + a) are in AP, then which of the following is true?
Q.2
Solve and find the roots of the equation: 2(x2 - 6) = 3(x - 4)
Q.3
In the given figure, PQRS is a square of side 7√2 cm. With P and R as centres and PQ as radius, the arcs QAS and QBS are drawn, respectively. Find the area of the shaded region (in cm2).
Q.4
The volume of a pyramid whose base is an equilateral triangle is 12 cm3. If the height of the pyramid is 3√3 cm, then find the length of each side of the base:
Q.5
If 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, find the value of 'b'.
Q.6
Find the value of x + y in the solution of the equations x/4 + y/3 = 5/12 and x/2 + y = 1:
Q.7
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.8
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.
Q.9
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.10
Write the general term in the expansion of (x2 -y)6:
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
a
Q.2
d
Q.3
d
Q.4
c
Q.5
c
Q.6
b
Q.7
c
Q.8
a
Q.9
c
Q.10
b
Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : d | Q.3 : d | Q.4 : c | Q.5 : c | Q.6 : b | Q.7 : c | Q.8 : a | Q.9 : c | Q.10 : b
