**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 |
Twelve sided dice is used in adventure games. They are marked with the numbers 1 to 12. The score is the upper most face. If this type of dice is thrown, then what is the probability that the score is a factor of 12? |
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Q.2 |
If AB = 5cm, BC = 4 cm, ∠B= 90° and opposite sides are equal, then which of the following figure can be constructed? |
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Q.3 |
A bag has five red, four black and three blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is not red: |
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Q.4 |
If Dennis is 1/3rd the age of his father Keith now, and was 1/4th the age of his father 5 years ago, then how old will his father Keith be 5 years from now? |
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Q.5 |
For a positive integer x, if √x + 42/√x = √289, then which of the following can be the value of x? |
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Q.6 |
Find the product of (3a |
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Q.7 |
In a castle there is food for 63 soldiers to last for 27 days. After 7 days, 27 more soldiers join them. For how many days will the food last now? |
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Q.8 |
Resolve into factors: (a - b) |
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Q.9 |
Consider the following statements: |
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Q.10 |
A single letter is selected at random from the word ''PROBABILITY''. What will be the probability that the selected letter is a vowel? |
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Answers to Sample Questions from CREST Olympiads:

Q.1 : a | Q.2 : b | Q.3 : d | Q.4 : d | Q.5 : a | Q.6 : d | Q.7 : c | Q.8 : a | Q.9 : c | Q.10 : c