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

Sample Paper Previous Year Paper Marking Scheme Free Study Material

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

Q.7

Q.8

Q.9

Q.10

Q.1	The circum-centre of the triangle formed by points O(0, 0), A(6, 0) and B(0, 6) is ___________.
	a) (3, 3)		b) (2, 2)
	c) (1, 1)		d) (0, 0)

Q.2	The two lines 3x + 4y - 6 = 0 and 6x + ky - 7 = 0 are such that any line which is perpendicular to the first line is also perpendicular to the second line: Then, k = ______.
	a) -8		b) -6
	c) 6		d) 8

Q.3	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:
	a) (8 - π) sq. cm.		b) (16 - 4 π) sq. cm.
	c) (16 - 8 π) sq. cm.		d) (4 - 2 π) sq. cm.

Q.4	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.
	a) 3/7		b) 4/8
	c) 2/7		d) 3/8

Q.5	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:
	a) 10 cm, 120 cm2		b) 8 cm, 132 cm2
	c) 10 cm, 132 cm2		d) 8 cm, 120 cm2

Q.6	The points A(2, 3), B(3, 5), C(7, 7) and D(5, 6) are such that:
	a) A, B, C and D are collinear		b) ABCD is a parallelogram
	c) D lies inside triangle ABC		d) D lies on the boundary of triangle ABC

Q.7	The solution set formed by the regions x + y > 7 and x + y < 10 in the first quadrant represents a _________.
	a) triangle		b) rectangle
	c) trapezium		d) rhombus

Q.8	The square root of 5 + 2√6 is:
	a) √3 + 2		b) √3 - √2
	c) √2 - √3		d) √3 + √2

Q.9	If x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ?
	a) 3xyz/abc		b) xyz/abc
	c) 3xyzabc		d) 3

Q.10	In measuring the sides of a rectangle, there is an excess of 5% on one side and 2% deficit on the other. Then the error per cent in the area is:
	a) 3.3		b) 3.0
	c) 2.9		d) 2.7

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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.

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.