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