UPSKILL MATH PLUS
Learn Mathematics through our AI based learning portal with the support of our Academic Experts!
Learn moreMethodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to geometric series | Let us introduced to geometric series. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question | Other | easy | 1 m. | Analyse the question and answer using G.P. |
| 2. | Two marks example problems I | Other | medium | 2 m. | Work on the problem to find the answers using Geometric series. |
| 3. | Two marks example problems II | Other | medium | 2 m. | Work on the problem to find the answers using Geometric series. |
| 4. | Two marks example problems III | Other | medium | 2 m. | Work on the problem to find the answers using Geometric series. |
| 5. | Two marks example problems IV | Other | medium | 2 m. | Work on the problem to find the answers using Geometric series. |
| 6. | Two marks exercise problems I | Other | medium | 2 m. | Work on the problem to find the anwers using Geometric series formulas. |
| 7. | Two marks exercise problems II | Other | medium | 2 m. | Work on the problem to find the anwers using Geometric series formulas. |
| 8. | Two marks exercise problems III | Other | medium | 2 m. | Work on the problem to find the anwers using Geometric series formulas. |
| 9. | Two marks exercise problems IV | Other | medium | 2 m. | Try to find the answers using Geometric series formulas. |
| 10. | Two marks exercise problems V | Other | medium | 2 m. | Try to find the answers using Geometric series formulas. |
| 11. | Two marks exercise problems VI | Other | medium | 2 m. | Try to find the answers using Geometric series formulas. |
| 12. | Two marks exercise problems VII | Other | hard | 2 m. | Work on the problem to answer the questions using G.P. formulas. |
| 13. | Five mark example problems I | Other | hard | 5 m. | Analyse the problems and answer using Geometric series formulas. |
| 14. | Five mark example problems II | Other | hard | 5 m. | Analyse the problems and answer using Geometric series formulas. |
| 15. | Five mark example problems III | Other | hard | 5 m. | Analyse the problems and answer using Geometric series formulas. |
| 16. | Five mark example problems IV | Other | hard | 5 m. | Analyse the problems and answer using Geometric series formulas. |
| 17. | Five marks exercise problems I | Other | hard | 5 m. | Work on the problem to answer the questions using G.P. formulas. |
| 18. | Five marks exercise problems II | Other | hard | 5 m. | Work on the problem to answer the questions using G.P. formulas. |
| 19. | Five marks exercise problems III | Other | hard | 5 m. | Analyse the problems and answer the questions using G.P. formulas. |
| 20. | Five marks exercise problems IV | Other | hard | 5 m. | Analyse the problems and answer the questions using G.P. formulas. |
| 21. | Five marks exercise problems V | Other | hard | 5 m. | Analyse the problems and answer the questions using G.P. formulas. |
| 22. | Five mark exercise problems IV | Other | hard | 0 m. | Prove the given condition using the appropriate evidences. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the value of 'r' | Other | easy | 2 m. | Find the value of r using the given data. |
| 2. | Find the common ratio to the infinity series | Other | easy | 1 m. | Find the common ratio of the geometric series using the first term and the sum to infinity. |
| 3. | Calculate the rational form | Other | medium | 3 m. | Calculate the rational form of the given number. |
| 4. | Find the sum of the infinite series | Other | medium | 3 m. | Find the sum of the given infinite series. |
| 5. | Find the sum of the given geometric series | Other | medium | 4 m. | Find the sum to the n terms using the two given terms of the series. |
| 6. | Find the first term of the series | Other | medium | 4 m. | Find the first term of the series using the given data. |
| 7. | Find the nth term of the series | Other | medium | 4 m. | Find the nth term of the given geometric series. |
| 8. | Evaluate the sum to n terms | Other | medium | 5 m. | Calculate the sum to the n terms of the given geometric series. |
| 9. | Find the number of terms in a series | Other | medium | 4 m. | Find the number of terms in the given series. |
| 10. | Find the sum of the series | Other | hard | 5 m. | Calculate the sum of the given geometric series. |
| 11. | Find the number of fishes | Other | hard | 5 m. | Find the number of fishes at the end of the specified year. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Calculate the sum to n terms of the series | Other | hard | 5 m. | Analyse the problem and answer using Geometric series formulas. |
| 2. | Find the amount spent on postage | Other | hard | 5 m. | Analyse the problem and answer the questions using G.P. formulas. |
| 3. | Find the least positive integer | Other | hard | 5 m. | Analyse the problem and answer using Geometric series formulas. |
| 4. | Determine the rational number | Other | hard | 5 m. | Analyse the problem and answer the questions using G.P. formulas. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the sum to n terms | Other | easy | 2 m. | Find the sum to n terms of the given series. |
| 2. | Find the rational term | Other | medium | 3 m. | Find the rational term of the given number. |
| 3. | Find the least positive integer | Other | medium | 5 m. | Find the least positive integer that satisfies the given condition. |
| 4. | Find the amount spent on postage | Other | hard | 6 m. | Find the amount spent on postage after the given set of mailing of letters. |
| 5. | Geometric Series | Other | medium | 1 m. | Work on the problem to find the answers using Geometric series. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | easy | 9 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 | 9 m. | |
| 5. | Homework V | 00:25:00 | medium | 15 m. | |
| 6. | Revision test I | 00:25:00 | medium | 16 m. | |
| 7. | Revision test II | 00:30:00 | hard | 19 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. | Periodic Assessment - 3 | 00:10:00 | medium | 1 m. | PA3 |
Register for free to see more content