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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 |
f(x) = x4 - 2x3 + 3x2 - ax + b is a polynomial such that when it is divided by (x - 1) and (x + 1), the remainders are 5 and 19, respectively. Determine the remainder when f(x) is divided by (x - 2). |
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Q.2 |
The arithmetic mean of the squares of the first n natural number is: |
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Q.3 |
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. |
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Q.4 |
If the coefficients of rth term and (r + 1)th term in the expansion of (1 + x)20 are in the ratio 1:2, what is the value of r? |
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Q.5 |
Write the general term in the expansion of (x2 -y)6: |
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Q.6 |
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.7 |
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? |
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Q.8 |
If 1/(a + b), 1/(b + c), and 1/(c + a) are in AP, then which of the following is true? |
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Q.9 |
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.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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Students can download the CREST Mathematics Olympiad previous year paper pdf for class 10 from this page. Each question in the paper carries 1 mark. The answer key for all the questions is also provided on the last page.
Students must become familiar with the exam format before taking any competitive exam, such as an Olympiad. CREST Mathematics Olympiad previous year paper will help students to become familiar with the exam pattern.
Once students complete their syllabus, they must start solving the CREST Mathematics Olympiad previous year paper for class 10 to analyze their preparation level. This is the proven way to excel in the CREST Mathematics Olympiad examination.
Students can also refer to the following resources to level up their CREST Mathematics Olympiad (CMO) exam preparation for class 10 -
Note: Don’t forget to download the CREST Mathematics Olympiad past year paper pdf for class 10.
Answers to Previous Year Questions from CREST Olympiads:
Q.1 : b | Q.2 : c | Q.3 : a | Q.4 : b | Q.5 : b | Q.6 : d | Q.7 : b | Q.8 : a | Q.9 : c | Q.10 : d