UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to identities | Learn about various algebraic identities. |
| 2. | Geometrical approach to multiplication of monomials | Learn about various algebraic identities. |
| 3. | Geometrical proof of the identity - I | Learn about the geometrical proof of identity - I. |
| 4. | Geometrical proof of identity - II | Learn about the geometrical proof of identity - II |
| 5. | Geometrical proof of identity - III | Learn about the geometrical proof of identity - III. |
| 6. | Geometrical proof of identity - IV | Learn about the geometrical proof of identity - IV. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | One mark exercise problems I | Other | easy | 2 m. | Select the suitable choice for the given questions. |
| 2. | One mark exercise problems II | Other | easy | 2 m. | Check your understanding skills in the concept of identities. |
| 3. | One mark exercise problems III | Other | easy | 3 m. | Check whether the given statement is correct or not. |
| 4. | Two mark example problems I | Other | medium | 4 m. | Apply the identity and simplify the expression. |
| 5. | Two mark example problems II | Other | medium | 6 m. | Apply the identity and simplify the expression. |
| 6. | Two mark exercise problems I | Other | medium | 4 m. | Practice the problem to apply the identity and find the required. |
| 7. | Two mark exercise problems II | Other | medium | 4 m. | Practice the problem to apply the identity and find the required. |
| 8. | Two mark exercise problems III | Other | medium | 4 m. | Apply the identity and simplify the expression. |
| 9. | Two mark exercise problems IV | Other | medium | 4 m. | Apply the identity and simplify the expression. |
| 10. | Two mark exercise problems V | Other | medium | 4 m. | Try to apply the identity and simplify the expression. |
| 11. | Two mark exercise problems VI | Other | medium | 4 m. | Try to apply the identity and simplify the expression. |
| 12. | Two mark exercise problems VII | Other | medium | 6 m. | Apply the identity and simplify the expression. |
| 13. | Two mark exercise problems VIII | Other | medium | 6 m. | Apply the identity and simplify the expression. |
| 14. | Two mark exercise problems IX | Other | medium | 6 m. | Try to answer the given questions. |
| 15. | Two mark exercise problems X | Other | medium | 0 m. | Try to prove the given expressions. |
| 16. | Two mark exercise problems XI | Other | medium | 6 m. | Apply the identity and find the required. |
| 17. | Two mark exercise problems XII | Other | medium | 6 m. | Simplify the given expressions using the identities. |
| 18. | Two mark exercise problems XIII | Other | medium | 6 m. | Try to answer the given questions. |
| 19. | Four mark example problems I | Other | hard | 8 m. | Try to simplify the given expression geometrically. |
| 20. | Four mark example problems II | Other | hard | 8 m. | Try to simplify the given expression geometrically. |
| 21. | Four mark exercise problem I | Other | hard | 4 m. | Apply the identities in real life situtations. |
| 22. | Four mark exercise problem II | Other | hard | 4 m. | Apply the identities in real life situtations. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Simplify the expression | Other | easy | 4 m. | Practise to simplify the expression using the given identity. |
| 2. | Expand the expression | Other | easy | 2 m. | Practise to expand the given expression using suitable identity. |
| 3. | Choose the correct answer | Other | easy | 4 m. | Practise to simplify the expression using the suitable identity. |
| 4. | Shorten the expression | Other | easy | 3 m. | Practise to simplify the given expression using suitable identity. |
| 5. | Select the correct answer | Other | easy | 4 m. | Practise to expand the given expressions using the suitable identities. |
| 6. | Reduce the given expression | Other | medium | 4 m. | Practise to simplify the expression using the given identity. |
| 7. | Calculate the product | Other | medium | 4 m. | Practise to calculate the product of two numbers using the suitable identity in a simpler way. |
| 8. | Find the square of the number | Other | medium | 2 m. | Practise to find the square of the number using the given identity. |
| 9. | Evaluate the square of the number | Other | medium | 2 m. | Practise to calculate the square of the given number using the given identity. |
| 10. | Find the area of the rectangular pathway | Other | hard | 3 m. | Calculate the area of the rectangle using a suitable identity if length and breadth are given. |
| 11. | Determine the area of the square shaped poster | Other | hard | 4 m. | Practise to determine the area of square-shaped poster using the identities if the side of a square is given. |
| 12. | Determine the area of the square shaped table | Other | hard | 4 m. | Practise to determine the area of the square-shaped table using the identities if the side of a square is given. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Simplify the expression | Other | medium | 2 m. | Try to answer the given question. |
| 2. | Simplify using identities | Other | medium | 2 m. | Simplify the given expressions using the identities. |
| 3. | Evaluate | Other | hard | 4 m. | Try to simplify the given expression geometrically. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Expand the expression using the identity | Other | easy | 4 m. | Apply the given identity and expand the expression. |
| 2. | Stretch the expression using the identity | Other | easy | 4 m. | Apply the given identity and stretch the expression. |
| 3. | Find the area of the wall | Other | hard | 4 m. | Apply the suitable identity to determine the area of the wall. |
| 4. | Simplify the expression using the identity | Other | medium | 1 m. | Apply the identity and simplify the expression. |
| 5. | Expand the square using identities | Other | medium | 1 m. | Apply the identity and simplify the expression. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 8 m. | |
| 2. | Homework II | 00:15:00 | easy | 9 m. | |
| 3. | Homework III | 00:20:00 | medium | 12 m. | |
| 4. | Homework IV | 00:20:00 | medium | 12 m. | |
| 5. | Homework V | 00:25:00 | medium | 14 m. | |
| 6. | Homework VI | 00:25:00 | medium | 14 m. | |
| 7. | Revision test I | 00:25:00 | medium | 14 m. | |
| 8. | Revision test II | 00:25:00 | medium | 14 m. | |
| 9. | Revision test III | 00:30:00 | hard | 16 m. | |
| 10. | Revision test IV | 00:30:00 | hard | 16 m. | |
| 11. | Revision test V | 00:30:00 | hard | 16 m. | |
| 12. | Revision test VI | 00:30:00 | hard | 16 m. | |
| 13. | Periodic Assessment | 00:10:00 | medium | 4 m. | PA3 |
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