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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to special series | Get introduced to the topic special series by Gauss story. |
| 2. | Sum of first 'n' natural numbers | Learn to find the sum of first 'n' natural numbers. |
| 3. | Sum of first 'n' odd natural numbers | Learn to find the sum of first 'n' odd natural numbers. |
| 4. | Sum of squares of first 'n' natural numbers | Learn to find the sum of squares of first 'n' natural numbers. |
| 5. | Sum of cubes of first 'n' natural numbers | Learn to find the sum of cubes of first 'n' natural numbers. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question | Other | easy | 1 m. | In this exercise, find the value of the given expression. |
| 2. | Two marks example problems I | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 3. | Two marks example problems II | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 4. | Two marks example problems III | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 5. | Two marks example problems IV | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 6. | Two marks example problems V | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 7. | Two marks exercise problems I | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 8. | Two marks exercise problems II | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 9. | Two marks exercise problems III | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 10. | Two marks exercise problems IV | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 11. | Two marks exercise problems V | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 12. | Two marks exercise problems VI | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 13. | Two marks exercise problems VII | Other | medium | 2 m. | In this exercise, find the sum of the given numbers. |
| 14. | Two marks exercise problems VIII | Other | hard | 2 m. | Analyse the problem and find the sum of cube of natural numbers up to 'k' terms using the sum of first 'k' natural numbers. |
| 15. | Two marks exercise problems IX | Other | hard | 2 m. | Analyse the problem and find the sum of cube of natural numbers up to 'k' terms using the sum of first 'k' natural numbers. |
| 16. | Five marks example problems I | Other | hard | 5 m. | Practice problem to find the sum of the square of natural numbers. |
| 17. | Five marks example problems II | Other | hard | 5 m. | Practice problem to find the sum of the square of natural numbers. |
| 18. | Five marks example problems III | Other | hard | 5 m. | Practice problem to find the sum of the square of natural numbers. |
| 19. | Five marks example problems IV | Other | hard | 5 m. | Practice problem to find the sum of the square of natural numbers. |
| 20. | Five marks example problems V | Other | hard | 5 m. | Practice problem to find the sum of the square of natural numbers. |
| 21. | Five marks example problems VI | Other | hard | 5 m. | Practice problem to find the sum of the square of natural numbers. |
| 22. | Five marks exercise problems I | Other | hard | 5 m. | Analyse the problem and find the sum of cube of natural numbers up to 'k' terms using the sum of first 'k' natural numbers. |
| 23. | Five marks exercise problems II | Other | hard | 5 m. | Analyse the problem and determine the value of 'n' using the given informations. |
| 24. | Five marks exercise problems III | Other | hard | 5 m. | Analyse the problem and determine the value of 'n' using the given informations. |
| 25. | Five marks exercise problems IV | Other | hard | 5 m. | Analyse the problem and determine the value of 'n' using the given informations. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the sum of the numbers | Other | easy | 2 m. | Prctice problem to find the sum of the given numbers. |
| 2. | Determine the sum of the numbers | Other | easy | 2 m. | In this exercise, determine the sum of the numbers using formulas. |
| 3. | Calculate the value of the expression | Other | medium | 4 m. | Analyse the problem to find the value of the expression. |
| 4. | Sum of the natural numbers | Other | medium | 4 m. | Apply the formula to find the sum of the natural numbers. |
| 5. | Find the sum of the square of natural numbers | Other | medium | 4 m. | Practice problem to find the sum of the square of natural numbers. |
| 6. | Find the value of 'n' | Other | medium | 4 m. | In this exercise, find the value of 'n' using the appropriate formula. |
| 7. | Sum of cube of natural numbers up to 'p' terms | Other | medium | 4 m. | Analyse the problem and find the sum of cube of natural numbers up to 'p' terms using the sum of first 'p' natural numbers. |
| 8. | Find the average of the first 'n' natural numbers | Other | medium | 4 m. | Practice problem to find the average of the first 'n' natural numbers. |
| 9. | Evaluate the number of terms needed to get the sum | Other | hard | 5 m. | Analyse the problem and calculate the number of terms needed to get the sum. |
| 10. | Find the amount of savings | Other | hard | 5 m. | Understand the problem and find the amount of savings on the particular day. |
| 11. | Determine the value of 'k' | Other | hard | 5 m. | Analyse the problem and determine the value of 'k' using the given informations. |
| 12. | Determine the area can be decorated | Other | hard | 5 m. | In this exercise, find the area can be decorated using the colour paper sizes. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Obtain the sum of the series | Other | medium | 1 m. | In this exercise, find the sum of the given series. |
| 2. | Calculate the sum of the square series | Other | medium | 2 m. | Practice problem to find the sum of the square of natural numbers. |
| 3. | Estimate the sum of the series | Other | hard | 5 m. | Analyse the problem and determine the value of 'n' using the given informations. |
| 4. | Find the area can be decorated | Other | hard | 5 m. | In this exercise, find the area can be decorated using the colour paper sizes. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Say 'true' or 'false' and justify your answer | Other | medium | 5 m. | Analyse the questions and say true or false and justify your answer. |
| 2. | Find the sum of the numbers up to 'p' terms | Other | medium | 4 m. | Find the sum of the numbers up to 'p' terms using sum of cube of numbers. |
| 3. | Find the average of square of first 'n' natural numbers. | Other | medium | 4 m. | Practice problem to find the average of square of first 'n' natural numbers. |
| 4. | Calculate the average of the given numbers | Other | medium | 4 m. | Work on the problem to find the average of the first 'n' natural numbers. |
| 5. | Find the sum of the cube of natural numbers | Other | hard | 5 m. | Practice problem to find the sum of cube of onatural numbers. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | easy | 7 m. | |
| 2. | Homework II | 00:20:00 | easy | 8 m. | |
| 3. | Homework III | 00:20:00 | medium | 8 m. | |
| 4. | Homework IV | 00:25:00 | medium | 10 m. | |
| 5. | Homework V | 00:25:00 | medium | 11 m. | |
| 6. | Revision test I | 00:25:00 | medium | 16 m. | |
| 7. | Revision test II | 00:30:00 | medium | 17 m. | |
| 8. | Revision test III | 00:30:00 | hard | 20 m. | |
| 9. | Revision test IV | 00:30:00 | hard | 20 m. | |
| 10. | Revision test V | 00:30:00 | hard | 20 m. | |
| 11. | Revision test VI | 00:35:00 | hard | 25 m. |
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