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
Teo studies for 6 1/4 hours daily. He devotes 1 3/4 hours of his time to Science and Sanskrit. How much time does he devote to other subjects?
Q.3
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?
Q.4
In the first four papers each of 100 marks, Ronaldo got 95, 72, 73 and 83 marks. If he wants an average of greater than or equal to 75 marks and less than 80 marks, find the range of marks he should score in the fifth paper.
Q.5
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.6
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.7
In a castle there is food for 63 soldiers to last for 27 days. After 7 days, 27 more soldiers joined them. For how many days will the food last now?
Q.8
In the given figure, DE||BC, ∠ABC = 118⁰, ∠DAB = 42⁰, then find the value of ∠ADE.
Q.9
What must be subtracted from 3x2 + 4y2 - 5 to get 2x2 - 3y2 + 5?
Q.10
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.
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Answers to Sample Questions from CREST Olympiads:
Q.1
a
Q.2
c
Q.3
c
Q.4
a
Q.5
b
Q.6
d
Q.7
c
Q.8
d
Q.9
c
Q.10
a
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Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : c | Q.3 : c | Q.4 : a | Q.5 : b | Q.6 : d | Q.7 : c | Q.8 : d | Q.9 : c | Q.10 : a
