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