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.
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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
| Q.1 | Q.2 | Q.3 | Q.4 | Q.5 | Q.6 | Q.7 | Q.8 | Q.9 | Q.10 |
Q.1 |
The following steps are involved in finding a number, if the positive number is less than its square by 30. Arrange them in sequential order: |
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Q.2 |
Two vertices of a triangle are (5, -1) and (-2, 3). If the orthocentre of the triangle is the origin, find the third vertex. |
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Q.3 |
The arithmetic mean of the squares of the first n natural number is: |
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Q.4 |
Write the general term in the expansion of (x2 -y)6: |
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Q.5 |
If cos x / (1 + cosec x) + cos x / (cosec x - 1) = 2, then which one of the following is one of the values of x? |
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Q.6 |
Which term is numerically greatest term in the expansion of (3 + 2x)49, when x = 1/5? |
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Q.7 |
W borrowed a certain sum of money from X at the rate of 10% per annum under simple interest and lent one-fourth of the amount to Y at 8% per annum under simple interest and the remaining amount to Z at 15% per annum under simple interest. If at the end of 15 years, W made a profit of $5850 in the deal, then find the sum that W had lent to Z. |
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Q.8 |
Find the value of x + y in the solution of the equations x/4 + y/3 = 5/12 and x/2 + y = 1: |
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Q.9 |
If p1 and p2 are two odd prime numbers such that p1 > p2, then p12 - p22 is: |
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Q.10 |
The volume of the vessel, in the form of a right circular cylinder, is 448π cm3 and its height is 7 cm. What is the radius of its base? |
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Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : d | Q.3 : c | Q.4 : b | Q.5 : c | Q.6 : c | Q.7 : c | Q.8 : b | Q.9 : a | Q.10 : d