UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Nature of roots | Learn about nature of roots and how to find them. |
| 2. | Some example problems based on nature of roots | Learn to do some problems based on nature of roots. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question | Other | easy | 1 m. | Select the suitable choice for the given question. |
| 2. | Two mark example problem I | Other | easy | 2 m. | Try to find the nature of the roots. |
| 3. | Two mark example problem II | Other | easy | 2 m. | Try to find the nature of the roots. |
| 4. | Two mark example problem III | Other | easy | 2 m. | Try to find the nature of the roots. |
| 5. | Two mark example problem IV | Other | easy | 12 m. | Try to find the values of the given question. |
| 6. | Two mark example problem III | Other | easy | 4 m. | Try to answer the given questions. |
| 7. | Two mark exercise problem I | Other | easy | 2 m. | Try to find the nature of the roots. |
| 8. | Two mark exercise problem II | Other | easy | 2 m. | Try to find the nature of the roots. |
| 9. | Two mark exercise problem IV | Other | easy | 2 m. | Try to find the nature of the roots. |
| 10. | Two mark exercise problem V | Other | easy | 2 m. | Try to find the nature of the roots. |
| 11. | Two mark exercise problem V | Other | easy | 2 m. | Try to find the nature of the roots. |
| 12. | Two mark exercise problem VI | Other | medium | 6 m. | Try to answer the given questions. |
| 13. | Two mark exercise problem IV | Other | medium | 2 m. | Try to answer the given questions. |
| 14. | Two mark exercise problem IV | Other | medium | 2 m. | Try to answer the given questions. |
| 15. | Five mark example problem I | Other | medium | 5 m. | Determine the value of 'k'. |
| 16. | Five mark example problem II | Other | medium | 5 m. | Determine the value of 'k'. |
| 17. | Five mark example problem III | Other | medium | 5 m. | Try to answer the given questions. |
| 18. | Five mark example problem IV | Other | medium | 5 m. | Try to answer the given questions. |
| 19. | Five mark example problem V | Other | medium | 15 m. | Practice a problem to find the values of the given expression. |
| 20. | Five mark exercise problem VI | Other | medium | 5 m. | Try to find the values of 'a'. |
| 21. | Five mark exercise problem VII | Other | medium | 5 m. | Work on the problem to find the value of 'k' and the roots of the equation. |
| 22. | Five mark exercise problem VIII | Other | medium | 5 m. | Practice a problem to find the values of 'p' and 'q'. |
| 23. | Five mark exercise problem IX | Other | medium | 5 m. | Work on the problem to find the value of the unknown variable using the given information. |
| 24. | Five mark exercise problem X | Other | hard | 5 m. | Determine the value of 'k'. |
| 25. | Five mark exercise problem XI | Other | hard | 5 m. | Determine the value of 'k'. |
| 26. | Five mark exercise problem XII | Other | hard | 10 m. | Try to answer the given questions. |
| 27. | Five mark exercise problem XIII | Other | hard | 5 m. | Try to find the values of the given expressions. |
| 28. | Five mark exercise problem XIV | Other | hard | 5 m. | Prove the statement using nature of the roots. |
| 29. | Five mark exercise problem XV | Other | hard | 5 m. | Prove the statement using nature of the roots. |
| 30. | Five mark exercise problem XVI | Other | hard | 5 m. | Prove the statement using nature of the roots. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the nature of the roots of the quadratic equations | Other | easy | 2 m. | Practice problem to find the nature of roots of the quadratic equations. |
| 2. | Find the discriminant of the quadratic equations | Other | easy | 2 m. | Practice problem to find the discriminant of the given quadratic equations. |
| 3. | Determine the possibility of the given situation | Other | easy | 2 m. | Try to find the possibility of the given situation. |
| 4. | Identify the quadratic equation | Other | easy | 2 m. | Practice problem to form a quadratic equation when roots are given. |
| 5. | Find the discriminant and its nature of roots | Other | medium | 2 m. | Work on the problem to find the discriminant, and its nature of roots. |
| 6. | Find the value(s) of 'k' for distinct roots of the equation | Other | medium | 2 m. | Work on the problem to find the value(s) of 'k' for distinct roots of the equation. |
| 7. | Find the nature of roots and determine them if its real. | Other | medium | 2 m. | In this exercise, determine the nature of roots, and find them if its real. |
| 8. | Find the roots of the quadratic equation | Other | medium | 2 m. | To find the roots of the quadratic equation using its sum and product. |
| 9. | Feed me! | Other | medium | 2 m. | To match the columns based on suitable relation. |
| 10. | Make the given expression in terms of α + β and αβ | Other | medium | 2 m. | Practice problem to write the expression in terms of α + β and αβ. |
| 11. | Find the value of the given expressions | Other | medium | 5 m. | Work on the problem to find the value of the expressions using the given information. |
| 12. | Find the value of 'p' and the roots of the equation | Other | hard | 5 m. | Work on the problem to find the value of 'p', and the roots of the equation. |
| 13. | Find the integers if the situation is possible | Other | hard | 5 m. | In this exercise, find the integers if the situation is possible. |
| 14. | Find the possibility of the given situation | Other | hard | 5 m. | Work on the problem to find the possibility of the given situation, if its possible find the length and breadth. |
| 15. | Case study: Nature of roots | Other | hard | 5 m. | In this exercise, understand the given situation and answer the following questions. |
| 16. | Verify the relation between roots and coefficients of the quadratic equation | Other | hard | 5 m. | To verfiy the relation between the roots and coefficients of a quadratic equation. |
| 17. | Find the quadratic equations for the given roots | Other | hard | 5 m. | In this exercise, find the quadratic equaitons using the given information. |
| 18. | Find the value of 't' and the roots of the equation | Other | hard | 5 m. | In this exercise, find the value of the unknown variable and the roots of the given equation. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the value of 'k' | Other | easy | 1 m. | Select the correct choice for the given question. |
| 2. | Determine the value | Other | medium | 2 m. | Try to find the value of the given question. |
| 3. | Prove the following | Other | medium | 0 m. | Try to prove the given statement. |
| 4. | Form a quadratic equation | Other | hard | 5 m. | Practice a problem to frame the quadratic equation. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Obtain the value(s) of 'k' if the equation has equal roots | Other | medium | 2 m. | In this exercise, obtain the value(s) of 'k' if the equation has equal roots. |
| 2. | Obtain the value of the variable 'p' for the quadratic equation | Other | medium | 5 m. | Work on the problem to find the value of the variable 'p' for the given equation. |
| 3. | Find the value of the following | Other | medium | 5 m. | Find the values of the given expressions using the quadratic equation. |
| 4. | Determine the quadratic equation | Other | medium | 5 m. | To find the quadratic equation for the given condition. |
| 5. | Determine the possibility of the given situation | Other | hard | 5 m. | Analyse the problem and find its possibility to create. |
| 6. | Prove the equation by nature of its roots | Other | hard | 5 m. | Analyse the problem, and prove the given equation by using nature of its roots. |
| 7. | Choose the quadratic equations for the given roots | Other | hard | 5 m. | In this exercise, choose the quadratic equations for the given roots. |
| 8. | Nature of roots | Other | easy | 2 m. | Try to find the nature of the roots. |
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 | 10 m. | |
| 3. | Homework III | 00:15:00 | easy | 13 m. | |
| 4. | Homework IV | 00:20:00 | medium | 15 m. | |
| 5. | Homework V | 00:20:00 | medium | 16 m. | |
| 6. | Homework VI | 00:25:00 | medium | 19 m. | |
| 7. | Revision test I | 00:25:00 | medium | 20 m. | |
| 8. | Revision test II | 00:25:00 | hard | 20 m. | |
| 9. | Revision test III | 00:25:00 | hard | 20 m. | |
| 10. | Revision test IV | 00:25:00 | hard | 22 m. | |
| 11. | Revision test V | 00:45:00 | hard | 35 m. | |
| 12. | Revision test VI | 00:45:00 | hard | 35 m. | |
| 13. | Periodic Assessment | 00:10:00 | medium | 2 m. |
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