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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 |
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.2 |
What is the value of the expression [(a - b)3 + (b - c)3 + (c - a)3] / [(a - b)(b - c)(c-a)]? |
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Q.3 |
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.4 |
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.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? |
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Q.6 |
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. |
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Q.7 |
If tan A = 1/2 and tan B = 1/3, then which of the following is true? |
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Q.8 |
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. |
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Q.9 |
Which term is numerically greatest term in the expansion of (3 + 2x)49, when x = 1/5? |
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Q.10 |
The arithmetic mean of the squares of the first n natural number is: |
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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 : a | Q.2 : d | Q.3 : c | Q.4 : c | Q.5 : c | Q.6 : c | Q.7 : a | Q.8 : c | Q.9 : c | Q.10 : c