CREST Mathematics Olympiad Class 10 Previous Year Papers

>>> Join CREST Olympiads WhatsApp Channel for latest updates. CREST Mathematics Olympiad Previous Year Paper PDF for Class 10:

If your web browser doesn't have a PDF Plugin. Instead you can Click here to download the PDF

Syllabus:

Section 1: Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, 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	In the binomial expansion of (a - b)n, n ≥ 5 the sum of the 5th and 6th terms is zero. Find the value of a/b.
	a) (n - 5)/6		b) (n - 4)/5
	c) 5/(n - 4)		d) 6/(n - 5)

Q.2	What is the value of the expression [(a - b)3 + (b - c)3 + (c - a)3] / [(a - b)(b - c)(c-a)]?
	a) 1		b) 0
	c) 2		d) 3

Q.3	How many 5-digit odd numbers can be formed using the digits 2, 3, 5, 7, 8, and 9 if every digit can occur at most once in any number?
	a) 400		b) 475
	c) 420		d) 480

Q.4	If the sum of the roots of the equation ax2 + bx + c = 0 is equal to the sum of their squares, then which one of the following is correct?
	a) a2 + b2 = c2		b) a2 + b2 = a + b
	c) 2ac = ab + b2		d) 2c + b = 0

Q.5	Perpendiculars are drawn from the vertex of the obtuse angles of a rhombus to its sides. The length of each perpendicular is equal to a unit. The distance between their feet is equal to b units. Find the area of the rhombus.
	a) √(a2 + b2) / 2√(b2 - a2)		b) 2ab / 2√(b2 - a2)
	c) ab2 / 2√(b2 - a2)		d) 2a2b2 / 2√(b2 - a2)

Q.6	The average weight of A, B and C is 84 kg. If D joins the group, the average weight of the group becomes 80 kg. If another man E who weighs 3 kg more than D replaces A, then the average of B, C, D and E becomes 79 kg. What is the weight of A ?
	a) 64 kg		b) 72 kg
	c) 75 kg		d) 80 kg

Q.7	Which among the following is a singleton set?
	a) The set A consisting of all prime numbers less than 10.		b) The set B consisting of all squares up to 10.
	c) The set C consisting of all numbers up to 10 that are neither prime nor composite.		d) The set D of all odd numbers up to 10.

Q.8	If the coefficients of rth term and (r + 1)th term in the expansion of (1 + x)20 are in the ratio 1:2, what is the value of r?
	a) 6		b) 7
	c) 8		d) 9

Q.9	Write the general term in the expansion of (x2 -y)6:
	a) (-1)r . 6Cr x12 - 2r		b) (-1)r 6Cr x12 - 2r . yr
	c) (1)r 6Cr . yr		d) (1)r 6Cr x12 . yr

Q.10	The houses of a row are numbered consecutively from 1 to 49. If there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find the value of x.
	a) x = 33		b) x = 43
	c) x = 39		d) x = 35

Your Score: 0/10

Students can download the CREST Mathematics Olympiad previous year paper pdf for class 10 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.

Students must become familiar with the exam format before taking any competitive exam, such as an Olympiad. CREST Mathematics Olympiad previous year paper will help students to become familiar with the exam pattern.

Once students complete their syllabus, they must start solving the CREST Mathematics Olympiad previous year paper for class 10 to analyze their preparation level. This is the proven way to excel in the CREST Mathematics Olympiad examination.

Additional Preparation Resources

Students can also refer to the following resources to level up their CREST Mathematics Olympiad (CMO) exam preparation for class 10 -

1. CREST Mathematics Worksheets Package for class 10 - 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 10 - 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 10 for free.

Note: Don’t forget to download the CREST Mathematics Olympiad past year paper pdf for class 10.