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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
Q.1  Q.2  Q.3  Q.4  Q.5  Q.6  Q.7  Q.8  Q.9  Q.10 
Q.1 
Resolve into factors: (a  b)^{2}  (a  b)^{3} 

Q.2 
In the given figure, O is the centre of the circle, ∠CBE = 25⁰ and ∠DEA = 60⁰. Find the measure of ∠ADB. 

Q.3 
What will be the factor of the following expression? 

Q.4 
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.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 
Select the incorrect match of the given solids with the product of their number of faces and vertices: 

Q.7 
Find m, if (3/7)^{9} ÷ (3/7)^{5} = (3/7)^{3m + 2/m  2}. 

Q.8 
Consider the following statements: 

Q.9 
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.10 
Match the following:


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Answers to Sample Questions from CREST Olympiads:
Q.1 : a  Q.2 : c  Q.3 : d  Q.4 : c  Q.5 : a  Q.6 : d  Q.7 : b  Q.8 : c  Q.9 : b  Q.10 : b