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
Which term is numerically greatest term in the expansion of (3 + 2x)49, when x = 1/5?
Q.2
If tan A = 1/2 and tan B = 1/3, then which of the following is true?
Q.3
Which among the following is a singleton set?
Q.4
Solve and find the roots of the equation: 2(x2 - 6) = 3(x - 4)
Q.5
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.6
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.7
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.8
What is the value of the expression [(a - b)3 + (b - c)3 + (c - a)3] / [(a - b)(b - c)(c-a)]?
Q.9
The areas of two similar triangles are 81 cm2 and 49 cm2, respectively, then what will be the ratio of their corresponding medians?
Q.10
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?
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
c
Q.2
a
Q.3
c
Q.4
d
Q.5
c
Q.6
c
Q.7
c
Q.8
d
Q.9
c
Q.10
d
Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : a | Q.3 : c | Q.4 : d | Q.5 : c | Q.6 : c | Q.7 : c | Q.8 : d | Q.9 : c | Q.10 : d
