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
What must be subtracted from 3x2 + 4y2 - 5 to get 2x2 - 3y2 + 5?
Q.2
Twelve-sided dice are used in adventure games. They are marked with the numbers 1 to 12. The score is the uppermost face. If this type of dice is thrown, then what is the probability that the score is a factor of 12?
Q.3
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.4
Which of the following statements is correct?
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
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.7
Find m, if (3/7)9 ÷ (3/7)5 = (3/7)3m + 2/m - 2.
Q.8
If we divide a positive integer by another positive integer, then what is the resulting number?
Q.9
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. Find the number.
Q.10
The sides of a triangle are 5, 12 and 13 units. A rectangle of width 10 units is constructed whose area is equal to the area of the triangle. Find the perimeter of the rectangle.
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Answers to Sample Questions from CREST Olympiads:
Q.1
c
Q.2
a
Q.3
c
Q.4
d
Q.5
a
Q.6
b
Q.7
b
Q.8
c
Q.9
a
Q.10
b
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Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : a | Q.3 : c | Q.4 : d | Q.5 : a | Q.6 : b | Q.7 : b | Q.8 : c | Q.9 : a | Q.10 : b
