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 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10

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) = 0
2. (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

Your Score: 0/10

Answers to Sample Questions from CREST Olympiads:

Q.1aQ.2cQ.3dQ.4cQ.5aQ.6dQ.7bQ.8cQ.9bQ.10b

Are you a student and planning to register for the biggest CREST Mathematics Olympiad? Then you must be worried about how to give your preparation a final touch. Here’s the best tip to bind up your preparation! Maths Olympiad sample papers are a unique way of summing up your months of preparation for the Olympiad exams. With the help of Maths Olympiad previous years’ question papers for class 8 students can test all they have prepared and studied for the examination. It works as a mirror to show candidates their weak areas and strengths. This allows students to then work particularly on the topics that they are lacking in. CREST Olympiads offers sample papers for class 8 online for free download and practice. Get your hands on these sample papers and give your preparation the perfect ending.

Solving Maths Olympiad questions has enormous benefits like developing problem-solving skills, improving time management skills and so on. It also gives an idea about the questions asked in the actual examination. So always remember to add practicing sample papers in your preparation guide for the Olympiad exams.

Answers to Sample Questions from CREST Olympiads:

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

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