﻿ Maths Olympiad (CMO) Previous Year Paper for Class 10

# CREST Mathematics Olympiad Class 10 Previous Year Papers

CREST Mathematics Olympiad Previous Year Paper PDF for Class 10:

## 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

 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:
 Q.2 If 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, find the value of 'b':
 Q.3 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 units. The distance between their feet being equal to b units. Find the area of the rhombus:
 Q.4 Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Find the number of sides of each polygon:
 Q.5 The average marks obtained by the students in a class are 43. If the average marks obtained by 25 boys are 40 and the average marks obtained by the girl students are 48, then what is the number of girl students in the class?
 Q.6 For an acute angle θ, sin θ + cos θ takes the greatest value when θ is:
 Q.7 The houses of a row are numbered consecutively from 1 to 49. If there is a value of x such that the sum of 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:
 Q.8 The areas of two similar triangles are 81 cm2 and 49 cm2, respectively, then what will be the ratio of their corresponding medians?
 Q.9 The following steps are involved in finding a number, if the positive number is less than its square by 30. Arrange them in sequential order:(A) x2 - x - 30 = 0(B) x = 6(C) x2 - x = 30(D) (x + 5) (x - 6) = 0
 Q.10 If p1 and p2 are two odd prime numbers such that p1 > p2, then p12 - p22 is:

 Q.1 b Q.2 c Q.3 c Q.4 a Q.5 a Q.6 b Q.7 d Q.8 c Q.9 a Q.10 a

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.