CREST Mathematics Olympiad Class 9 Previous Year Papers

Is your child preparing for the Class 9 Maths Olympiad? Practising with previous year question papers is one of the most effective ways to improve performance. These papers offer students a clear understanding of exam-style questions and help strengthen their problem-solving techniques.

Benefits of Solving Class 9 Previous Year Papers

• Cover key concepts such as Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid's Geometry etc.
• Build accuracy, speed, and logical reasoning - essential skills for competitive exams.
• Provide exposure to the Olympiad format, helping reduce exam-day stress and surprises.

Each paper comes with an answer key so students can review their solutions, understand mistakes, and focus on areas needing improvement.

Download the Maths Olympiad Previous Year Paper for Class 9 (PDF) to help your child prepare with focus and confidence, and aim for top scores in the upcoming Olympiad.

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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	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.2	A rectangular box has dimensions x, y and z units, where x < y < z. If one dimension is increased by one unit, then the increase in volume is:
	a) Greatest when x is increased.		b) Greatest when y is increased.
	c) Greatest when z is increased.		d) The same, regardless of whichever dimension is increased.

Q.3	In the following figure, two isosceles right triangles, DEF and HGI are on the same base DH and DH are parallel to FI. If DE = GH = 9 cm and DH = 20 cm, then the area of the quadrilateral FEGI is ________.
	a) 99 cm2		b) 40.5 cm2
	c) 81 cm2		d) 180 cm2

Q.4	The difference between the squares of two consecutive even integers is always divisible by:
	a) 3		b) 4
	c) 6		d) 7

Q.5	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.6	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

Q.7	ABCD is a rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). P, Q, R, and S are mid-points of AB, BC, CD and DA, respectively. The quadrilateral PQRS is a:
	a) Square		b) Rectangle
	c) Rhombus		d) None of these

Q.8	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.9	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:
	a) 10 km/h		b) 4 km/h
	c) 9 km/h		d) 6.25 km/h

Q.10	Train A can cross a 180 m long platform in 90 seconds. Train B has a speed which is twice that of A. A's length is 90% that of B. B can cross a 200 m long platform in x seconds. Find x.
	a) 40		b) 45
	c) 50		d) 60

Your Score: 0/10

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.