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Section 1: Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles, Constructions, Heron’s Formula, 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 |
20 people are invited for a party. If two particular persons are seated on either side of the host, then find the number of ways in which they and the host can be seated at a circular table: |
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Q.2 |
In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle-point of AC. If a square is constructed with BD as one of its sides, what is the area of the square? |
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Q.3 |
If x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ? |
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Q.4 |
The area of a rectangular field is 460 m2. If the length is 15% more than the breadth, then what is the breadth of the field? |
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Q.5 |
The speed of Karolina is 5 km/h more than that of Andrea. Andrea reaches his home from office 2 hours earlier than Karolina. If Andrea and Karolina stay 12 km and 48 km from their respective offices, find the speed of Karolina: |
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Q.6 |
From four corners of a square sheet of side 4 cm, four pieces, each in the shape of an arc of a circle with a radius of 2 cm are cut out. The area of the remaining portion is: |
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Q.7 |
The cost of a precious stone varies as the cube of its weight. The stone broke into 3 pieces whose weights are in the ratio 1:2:3. As a result, its cost is reduced. If the cost of the unbroken stone is $96,336, then find the loss incurred due to breakage. |
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Q.8 |
The circum-centre of the triangle formed by points O(0, 0), A(6, 0) and B(0, 6) is ___________. |
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Q.9 |
A right triangular prism of height 18 cm and of base sides 5 cm, 12 cm and 13 cm is transformed into another right triangular prism on a base of sides 9 cm, 12 cm and 15 cm. Find the height of the new prism and the change in the whole surface area: |
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Q.10 |
The points A(2, 3), B(3, 5), C(7, 7) and D(5, 6) are such that: |
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Students can download the CREST Mathematics Olympiad previous year paper pdf for class 9 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.
To prepare for the CREST Mathematics Olympiad exam, students must refer to the previous years’ papers. The CREST Mathematics Olympiad previous year paper for class 9 will give students a general idea of the question types, exam format and marks distribution.
Students can also refer to the following resources to level up their CREST Mathematics Olympiad (CMO) exam preparation for class 9 -
Note: Don’t forget to download the CREST Mathematics Olympiad past year paper pdf for class 9.
Answers to Previous Year Questions from CREST Olympiads:
Q.1 : a | Q.2 : b | Q.3 : a | Q.4 : d | Q.5 : d | Q.6 : b | Q.7 : a | Q.8 : a | Q.9 : c | Q.10 : d