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
Solve and find the roots of the equation: 2(x2 - 6) = 3(x - 4)
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
If 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, find the value of 'b'.
Q.4
Write the general term in the expansion of (x2 -y)6:
Q.5
If 1/(a + b), 1/(b + c), and 1/(c + a) are in AP, then which of the following is true?
Q.6
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.7
Ken and Paul can complete a job in 40 days and 50 days, respectively. They worked on alternative days to complete it. Find the minimum possible time in which they could have completed it.
Q.8
In ∆ABC, ∠B = 90⁰. P, Q and R are the midpoints of AB, BC and AC, respectively. Which of the following options can be the vertices of a cyclic quadrilateral?
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
The average weight of A, B and C is 84 kg. If D joins the group, the average weight of the group becomes 80 kg. If another man E who weighs 3 kg more than D replaces A, then the average of B, C, D and E becomes 79 kg. What is the weight of A ?
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
d
Q.7
a
Q.8
b
Q.9
c
Q.10
a
Answers to Sample Questions from CREST Olympiads:
Q.1 : d | Q.2 : d | Q.3 : c | Q.4 : b | Q.5 : a | Q.6 : d | Q.7 : a | Q.8 : b | Q.9 : c | Q.10 : a
