﻿ Free Maths Olympiad (CMO) Sample Paper for Class 9 (PDF)

# CREST Mathematics Olympiad Class 9 Sample Paper

>> Join CREST Olympiads WhatsApp Channel for latest updates. Sample PDF of CREST Mathematics Olympiad for Class 9:

## 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

 Q.1 ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to:
 Q.2 A person invested \$5,000 at the rate of 6% per annum for two years at SI. At the end of two years, he took the entire amount along with interest and invested in another scheme offering 10% CI for two years. What is the total amount received at the end of four years?
 Q.3 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:
 Q.4 In the following figure , O is the centre of the circle. If ∠MPN = 55⁰, then find the value of: ∠MON + ∠OMN + 1/2 ∠MNO
 Q.5 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:
 Q.6 It is known that if x + y = 10, then x + y + z = 10 + z. The Euclid's axiom that illustrates this statement is:
 Q.7 A die is thrown once. Find the probability of getting a number less than 8.
 Q.8 The numerical expression 3/8 + (-5)/7 = -19/56 shows that:
 Q.9 On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get:
 Q.10 The difference between the squares of two consecutive even integers is always divisible by: