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
A sum of money amounts to $9800 after 5 years and $12005 after 8 years at the same rate of simple interest. Find the rate of interest per annum.
Q.2
The average weight of 120 students in the second-year class of college is 56 kg. If the average weight of boys and girls in the class is 60 kg and 50 kg, respectively, then find the number of boys and girls in the class respectively.
Q.3
In an examination, 42% of students failed in Hindi and 25% failed in English. If 17% failed in both subjects, the percentage of those who passed both subjects is
Q.4
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.5
If 2x-1 + 2x+1 = 320, then find the value of x.
Q.6
A sheet is in the form of a rhombus whose diagonals are 10 m and 8 m. Find the cost of painting both of its surfaces at the rate of $70 per m2.
Q.7
If the sum of two integers is negative, then which of the following must be true?
Q.8
The length of a rectangle is 3 times its breadth. If the length is decreased by 3 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 57 cm2. The perimeter of the rectangle is:
Q.9
Find m, if (3/7)9 ÷ (3/7)5 = (3/7)3m + 2/m - 2.
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?
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Answers to Sample Questions from CREST Olympiads:
Q.1
c
Q.2
c
Q.3
d
Q.4
a
Q.5
d
Q.6
a
Q.7
c
Q.8
b
Q.9
b
Q.10
c
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Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : c | Q.3 : d | Q.4 : a | Q.5 : d | Q.6 : a | Q.7 : c | Q.8 : b | Q.9 : b | Q.10 : c
