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 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.
	a) $80,280		b) $16,056
	c) $40,140		d) $8,028

Q.2	A die is thrown once. Find the probability of getting a number greater than 6.
	a) 0		b) 1
	c) 1/7		d) 2/7

Q.3	The polynomial 11a2 - 12√2 a + 2 on factorization gives:
	a) (11a + √2) (a - √2)		b) (a - √2) (11a - √2)
	c) (a + 11) (a + √2)		d) (11a - √2) (a + √2)

Q.4	On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get:
	a) 8a2		b) 8a2b
	c) 8a3b		d) 8a3

Q.5	The ratio of the number of students in two classrooms, C1 and C2, is 2:3. It is observed that after shifting ten students from C1 to C2, the ratio is 3:7. Further, how many students have to be shifted from C2 to C1 for the new ratio to become 9:11?
	a) 10		b) 15
	c) 20		d) 8

Q.6	In the given figure, LM is parallel to QR. If LM divides the triangle PQR such that the area of trapezium LMRQ is two times the area of triangle PLM, then what is PL/PQ equal to?
	a) 1/√2		b) 1/√3
	c) 1/2		d) 1/3

Q.7	ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to:
	a) 90⁰		b) 60⁰
	c) 56⁰		d) 62⁰

Q.8	The numerical expression 3/8 + (-5)/7 = -19/56 shows that:
	a) Rational numbers are closed under addition		b) Rational numbers are not closed under addition
	c) Rational numbers are closed under multiplication		d) Addition of rational numbers is not commutative

Q.9	If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
	a) -2		b) -1
	c) 1		d) 2

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:
	a) [a2 + 4 (πa2/9 - a2/3√2)]		b) [a2 + 4 (πa2/9 - a2/4√3)]
	c) [9a2 - 4π + 3√3 a2]		d) None of these

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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.