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
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.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
Find m, if (3/7)9 ÷ (3/7)5 = (3/7)3m + 2/m - 2.
Q.5
Resolve into factors:
(a - b)2 - (a - b)3
Q.6
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.7
If the angles of a triangle are (x - 35)°, (x - 25)° and (1/2x - 10)°, then find the value of x.
Q.8
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
Q.9
What must be subtracted from 3x2 + 4y2 - 5 to get 2x2 - 3y2 + 5?
Q.10
Find the value of smallest positive integer n for which 864 x n will be a perfect cube.
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
d
Q.2
c
Q.3
a
Q.4
b
Q.5
a
Q.6
a
Q.7
d
Q.8
b
Q.9
c
Q.10
b
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Answers to Sample Questions from CREST Olympiads:
Q.1 : d | Q.2 : c | Q.3 : a | Q.4 : b | Q.5 : a | Q.6 : a | Q.7 : d | Q.8 : b | Q.9 : c | Q.10 : b
