﻿ Free Maths Olympiad (CMO) Sample Paper for Class 8 (PDF)

# CREST Mathematics Olympiad Class 8 Sample Paper

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## Syllabus:

Section 1: Rational Numbers, Squares and Square Roots, Cubes and Cube Roots, Exponents and Powers, Comparing Quantities, Algebraic Expressions and Identities, Linear Equations in One Variable, Understanding Quadrilaterals, Constructions, Mensuration, Visualizing Solid Shapes, Data Handling, Direct and Inverse Variations, Factorization, Introduction to Graphs, Playing with Numbers.

Achievers Section: Higher Order Thinking Questions - Syllabus as per Section 1

 Q.1 Two poles, 18 m and 13 m high, stand upright in a playground. If their feet are 12 m apart, then find the distance between their tops.
 Q.2 Which of the following points lies on the X-axis?(i) (4, 0) (ii) (5, 0) (iii) (0, -2) (iv) (0, 0)
 Q.3 A boy is running at a speed of p km/h to cover a distance of 1 km. But, due to slippery ground, his speed is reduced by q km/h (p > q). If he takes r hours to cover the distance, then which of the following is the correct relation between time, speed and distance?
 Q.4 A person standing on a railway platform noticed that a train took 21 seconds to completely pass through the platform which was 84 m long and it took 9 seconds to pass him. Find the speed of the train.
 Q.5 For a positive integer x, if √x + 42/√x = √289, then which of the following can be the value of x?
 Q.6 The area of the circle is 616 cm2. What is the area of the rectangle?
 Q.7 What will be the factor of the following expression?625a12 - 81b12
 Q.8 In an examination, 42% of students failed in Hindi and 25% failed in English. If 17% failed in both subjects, the percentage of those who passed both subjects is
 Q.9 If AB = 5 cm, BC = 4 cm, ∠B = 90° and opposite sides are equal, then which of the following figures can be constructed?
 Q.10 Find m, if (3/7)9 ÷ (3/7)5 = (3/7)3m + 2/m - 2.