﻿ Free Maths Olympiad (CMO) Previous Year Paper for Class 10

# CREST Mathematics Olympiad Class 10 Previous Year Papers

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## 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 adjoining figure, the bottom of the glass has a hemispherical raised portion. If the glass is filled with orange juice, then find the quantity of juice which a person will get:
 Q.2 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.3 Find the value of x + y in the solution of the equations x/4 + y/3 = 5/12 and x/2 + y = 1:
 Q.4 If cos x / (1 + cosec x) + cos x / (cosec x - 1) = 2, then which one of the following is one of the values of x?
 Q.5 If 1/(a + b), 1/(b + c), and 1/(c + a) are in AP, then which of the following is true?
 Q.6 The average mark obtained by the students in a class is 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.7 A three-digit number was chosen at random. Find the probability that its hundred's digit, ten's digit and unit's digit are consecutive integers in descending order.
 Q.8 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.9 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.
 Q.10 The volume of the vessel, in the form of a right circular cylinder, is 448π cm3 and its height is 7 cm. What is the radius of its base?

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

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.