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Methodical recommendation:
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Evaluate the following | Other | easy | 3 m. | To understand the ancient base-12 counting system. |
| 2. | Rules for zero | Other | easy | 2 m. | To know the Brahmagupta’s rules for zero |
| 3. | Understand the rational numbers | Other | easy | 2 m. | To understand and identify rational numbers. |
| 4. | Say true or false | Other | easy | 3 m. | Check your understanding level of the concept with the help of provided statements. |
| 5. | Find the equivalent rational number | Other | medium | 3 m. | To find the value of the given rational number as directed. |
| 6. | Find the least equivalent rational number | Other | medium | 3 m. | Find the least equivalent rational number for the given rational number. |
| 7. | Evaluate and identify | Other | medium | 3 m. | Practice the closure property of multiplication and addition of rational numbers. |
| 8. | Verify the commutative property | Other | medium | 3 m. | Practice both the addition and multiplication of commutative property. |
| 9. | Complete the following | Other | medium | 3 m. | To understand the properties of rational numbers. |
| 10. | Verify the following | Other | hard | 5 m. | Practise to verify distributive property of rational numbers. |
| 11. | Representation of rational number using number line | Other | medium | 8 m. | To draw the number line and represent the rational number on it. |
| 12. | Find the absolute value | Other | easy | 2 m. | To find the absolute value of the given rational numbers. |
| 13. | Find a rational number between given two numbers | Other | easy | 2 m. | Apply the concept of average method to find a rational number in between two rational numbers. |
| 14. | Determine the rational number between two numbers | Other | medium | 4 m. | Practice a problem on finding the rational numbers between two rational number. |
| 15. | Identify the irrational number | Other | easy | 1 m. | To anlyse and identify the irrational number. |
| 16. | The story of pi (π) | Other | medium | 4 m. | To know the story of pi(π). |
| 17. | Prove the following | Other | medium | 4 m. | Try to prove the given irrational number. |
| 18. | Verify the following | Other | medium | 3 m. | To verify whether the given number is an irrational number using the method of 'proof by contradiction'. |
| 19. | Constructing a square root spiral | Other | hard | 3 m. | To draw the square root spiral for the given number using the number line. |
| 20. | Identify the type of decimal expansion | Other | medium | 4 m. | To know about decimal expansion. |
| 21. | Decimal expansion of cyclic numbers | Other | medium | 5 m. | To know about cyclic numbers. |
| 22. | Answer the following | Other | easy | 2 m. | Try to answer the given questions based on the decimal expansion of irrational numbers. |
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