CREST Mathematics Olympiad Class 9 Previous Year Papers

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Syllabus:

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

The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator, then find the fraction.

Q.2

The solution set formed by the regions x + y > 7 and x + y < 10 in the first quadrant represents a _________.

Q.3

A person invested $5,000 at the rate of 6% per annum for two years at SI. At the end of two years, he took the entire amount along with interest and invested in another scheme offering 10% CI for two years. What is the total amount received at the end of four years?

Q.4

If G is the centroid and AD, BE, CF are three medians of the triangle ABC with an area of 72 cm2, then the area of triangle BDG is:

Q.5

Which of the following is/are correct?
I. If two sides of a triangle are unequal, the larger side has the greater angle opposite to it.
II. The sum of any two sides of a triangle is greater than its third side.
III. If all the line segments can be drawn to a given line from an external point, the perpendicular line segment is the shortest.
IV. If all the three sides of a triangle are equal, it is called a scalene triangle.

Q.6

Which of the following relationships is correct?

Q.7

If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:

Q.8

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:

Q.9

If (x3 + ax2 + bx + 4) / (x2 + x - 2) is a polynomial of degree 1 in x, then what are the values of a and b, respectively?

Q.10

ABCD is a square of side 'a' cm. AB, BC, CD and AD are all chords of circles with equal radii. If the chords subtend an angle of 120⁰ at the centre of their respective circles, find the total area of the given figure, where arcs are a part of the circle:



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Answers to Previous Year Questions from CREST Olympiads:

Q.1aQ.2cQ.3dQ.4aQ.5bQ.6aQ.7bQ.8bQ.9aQ.10b

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.

Additional Preparation Resources

Students can also refer to the following resources to level up their CREST Mathematics Olympiad (CMO) exam preparation for class 9 -

  1. CREST Mathematics Worksheets Package for class 9 - It is a package of 5 worksheets. The worksheets are in the same pattern as the previous year paper. Hence, very useful for preparation. Existing users can purchase additional practice worksheets by following these steps: Login at https://www.crestolympiads.com/login -> Dashboard -> Additional Practice -> Buy & new users can visit https://www.crestolympiads.com/registration
  2. CREST Mathematics Olympiad book for class 9 - The book covers topic-wise reading material, chapter-wise practice questions with answer key & contains the previous year paper. The book is available in both physical and pdf formats. Proceed now to purchase the Olympiad book. Also, students can view & download the first chapter of the Maths Olympiad book for class 9 for free.

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 : c | Q.3 : d | Q.4 : a | Q.5 : b | Q.6 : a | Q.7 : b | Q.8 : b | Q.9 : a | Q.10 : b

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