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 will be the factor of the following expression?
625a12 - 81b12
Q.2
If the sum of two integers is negative, then which of the following must be true?
Q.3
Multiply: (3x3 - 7x + 8 - 2x2) by (4x2 + 6)
Q.4
If x/y = (2/3)3 ÷ (3/2)2, then find the value of (x/y)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
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
If the angles of a triangle are (x - 35)°, (x - 25)° and (1/2x - 10)°, then find the value of x.
Q.8
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.9
Out of the total 390 students studying in a college of Arts and Science, boys and girls are in the ratio of 7:6 respectively and the number of students studying Arts and Science are in the ratio of 3:7 respectively. The boys and girls studying Arts are in the ratio of 4:5 respectively. How many boys are studying Science?
Q.10
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
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
d
Q.2
c
Q.3
b
Q.4
b
Q.5
a
Q.6
b
Q.7
d
Q.8
c
Q.9
d
Q.10
a
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Answers to Sample Questions from CREST Olympiads:
Q.1 : d | Q.2 : c | Q.3 : b | Q.4 : b | Q.5 : a | Q.6 : b | Q.7 : d | Q.8 : c | Q.9 : d | Q.10 : a
