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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 |
Find the value of smallest positive integer n for which 864 x n will be a perfect cube. |
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Q.2 |
If AB = 5 cm, BC = 4 cm, ∠B = 90° and opposite sides are equal, then which of the following figures can be constructed? |
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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 |
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Q.4 |
In the given figure, DE||BC, ∠ABC = 118⁰, ∠DAB = 42⁰, then find the value of ∠ADE. |
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Q.5 |
Select the incorrect match of the given solids with the product of their number of faces and vertices: |
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Q.6 |
Resolve into factors: (a - b)2 - (a - b)3 |
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Q.7 |
A boy is running at a speed of p km/h to cover a distance of 1 km. But, due to slippery ground, his speed is reduced by q km/h (p > q). If he takes r hours to cover the distance, then which of the following is the correct relation between time, speed and distance? |
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Q.8 |
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. |
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Q.9 |
If 2x-1 + 2x+1 = 320, then find the value of x. |
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Q.10 |
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. |
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Solving Maths Olympiad questions has enormous benefits like developing problem-solving skills, improving time management skills and so on. It also gives an idea about the questions asked in the actual examination. So always remember to add practicing sample papers in your preparation guide for the Olympiad exams.
Answers to Sample Questions from CREST Olympiads:
Q.1 : b | Q.2 : b | Q.3 : d | Q.4 : d | Q.5 : d | Q.6 : a | Q.7 : a | Q.8 : a | Q.9 : d | Q.10 : c