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
Find the value of smallest positive integer n for which 864 x n will be a perfect cube.
Q.2
Match the statements of Column A with those of Column B:
Column A
Column B
(1) The geometric point of a triangle which always lies inside the triangle
(a) In centre
(2) The geometric point of a triangle which always lies outside the triangle
(b) Orthocentre
(3) The geometric point of a triangle which always lies on two sides of the triangle
(c) Circumcentre
(4) The geometric point of a triangle which lies only on the longest side of the triangle
(d) Excentre
Q.3
If x/y = (2/3)3 ÷ (3/2)2, then find the value of (x/y)3.
Q.4
Resolve into factors:
(a - b)2 - (a - b)3
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
Which of the following statements is correct?
Q.7
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.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
The area of the circle is 616 cm2. What is the area of the rectangle?
Q.10
Anne gave 40% of the amount he had to Jey. Jey in turn gave one-fourth of what she received from Anne to Paul. After paying $200 to the NGO out of the amount he got from Jey, Paul now has $600 left with him. How much amount did Anne have?
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
b
Q.2
a
Q.3
b
Q.4
a
Q.5
a
Q.6
d
Q.7
a
Q.8
b
Q.9
c
Q.10
c
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Answers to Sample Questions from CREST Olympiads:
Q.1 : b | Q.2 : a | Q.3 : b | Q.4 : a | Q.5 : a | Q.6 : d | Q.7 : a | Q.8 : b | Q.9 : c | Q.10 : c