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