﻿ 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 Resolve into factors: (a - b)2 - (a - b)3
 Q.2 In the given figure, O is the centre of the circle, ∠CBE = 25⁰ and  ∠DEA = 60⁰. Find the measure of ∠ADB.
 Q.3 What will be the factor of the following expression?625a12 - 81b12
 Q.4 In a castle there is food for 63 soldiers to last for 27 days. After 7 days, 27 more soldiers joined them. For how many days will the food last now?
 Q.5 The average number of runs scored by a batsman in eight innings is x. The batsman scored an average of 45 runs in the remaining two innings, thus increasing his average score for ten innings by 4.5 runs. What was his average score for the first eight innings that he played?
 Q.6 Select the incorrect match of the given solids with the product of their number of faces and vertices:
 Q.7 Find m, if (3/7)9 ÷ (3/7)5 = (3/7)3m + 2/m - 2.
 Q.8 Consider the following statements: A number a1 a2 a3 a4 a5 a6 is divisible by 11 if 1. (a1 + a3 + a5) - (a2 + a4 + a6) = 02. (a1 + a3 + a5) - (a2 + a4 + a6) is divisible by 11 Which of these statements is/are correct?
 Q.9 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.10

Match the following:

 List- I List-II (P) Add x5 + 8x3 - 7x2 + 12 and -3x3 + 10x2 + 8 (1) -x3 - 3x2 + 3x + 2 (Q) Subtract 2x2y + 4x2y2 +3xy2 from 5x2y + 7xy2 (2) -x3 + x2 + 3x -6 (R) Subtract 2x3 + 2x2 - 4x - 4 from x3 - x2 - x - 2 (3) x5 + 5x3 + 3x2 + 20 (S) Add x3 - x2 - x - 2 and 2x2 - 2x3 + 4x - 4 (4) 3x2y + 4xy2 - 4x2y2