UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction | Get introduced to the topic quadratic equations. |
| 2. | Zero of a quadratic expression | Learn about zeroes of a quadratic expression. |
| 3. | Roots of a quadratic equations | Learn about roots of a quadratic equation. |
| 4. | Formation of a quadratic equation | Learn how to frame the quadratic equation when roots are given. |
| 5. | Solving a quadratic equation by factorisation method | Learn how to find the solution of a quadratic equation by the method of factorisation. |
| 6. | Solving a quadratic equation by completing the square method | Learn how to find the solution of a quadratic equation by the method of completing the square. |
| 7. | Solving a quadratic equation by formula method | Learn how to find the solution of a quadratic equation by using quadratic formula. |
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 | 4 m. | Try to answer the given questions. |
| 3. | Two mark example problem II | Other | easy | 6 m. | Try to answer the given questions. |
| 4. | Two mark example problem III | Other | easy | 6 m. | Try to find the sum and product of the roots. |
| 5. | Two mark example problem IV | Other | easy | 2 m. | Practice a problem to find the roots of the given quadratic equations. |
| 6. | Two mark example problem V | Other | easy | 2 m. | Practice a problem to find the roots of the given quadratic equations. |
| 7. | Two mark example problem V | Other | easy | 2 m. | Practice a problem to find the roots of the given quadratic equations. |
| 8. | Two mark example problem IV | Other | easy | 2 m. | Try to answer the given questions. |
| 9. | Two mark example problem V | Other | easy | 2 m. | Try to answer the given questions. |
| 10. | Two mark example problem VI | Other | easy | 2 m. | Try to answer the given questions. |
| 11. | Two mark example problem VII | Other | easy | 2 m. | Try to answer the given questions. |
| 12. | Two mark example problem VIII | Other | easy | 2 m. | Try to find the roots of the equation using quadratic formula. |
| 13. | Two mark example problem IX | Other | easy | 2 m. | Try to find the roots of the equation using quadratic formula. |
| 14. | Two mark exercise problem I | Other | easy | 8 m. | Try to determine the quadratic equations. |
| 15. | Two mark exercise problem II | Other | easy | 8 m. | Practice a problem to determine the sum and product of the roots of the equation. |
| 16. | Two mark exercise problem III | Other | medium | 6 m. | Try to answer the given questions. |
| 17. | Two mark exercise problem IV | Other | medium | 4 m. | Try to answer the given questions. |
| 18. | Two mark exercise problem VII | Other | medium | 2 m. | Try to answer the given questions. |
| 19. | Two mark exercise problem VIII | Other | medium | 4 m. | Try to determine the roots of the equation. |
| 20. | Two mark exercise problem IX | Other | medium | 4 m. | Check your understanding skills in the concept of finding roots using quadratic formula. |
| 21. | Two mark exercise problem X | Other | medium | 4 m. | Check your understanding skills in the concept of finding roots using quadratic formula. |
| 22. | Two mark exercise problem XI | Other | medium | 2 m. | Try to find the roots of the equation. |
| 23. | Two mark exercise problem XII | Other | medium | 2 m. | Try to find the roots of the equation. |
| 24. | Five mark example problem I | Other | medium | 5 m. | Try to answer the given questions. |
| 25. | Five mark example problem II | Other | medium | 5 m. | Try to answer the given questions. |
| 26. | Five mark example problem III | Other | medium | 5 m. | Check your understanding skills in the concept of solving quadratic equations. |
| 27. | Five mark example problem IV | Other | medium | 5 m. | Check your understanding skills in the concept of solving quadratic equations. |
| 28. | Five mark example problem V | Other | medium | 5 m. | Try to find the average speed of both the trains. |
| 29. | Five mark exercise problem VI | Other | hard | 5 m. | In this exercise, find the width of the pathway using given information. |
| 30. | Five mark exercise problem VII | Other | hard | 5 m. | Work on the problem to find the total number of bees. |
| 31. | Five mark exercise problem VIII | Other | hard | 5 m. | Understand the situation and answer the questions using the given information. |
| 32. | Five mark exercise problem IX | Other | hard | 5 m. | Calculate the original speed of the bus. |
| 33. | Five mark exercise problem X | Other | hard | 5 m. | Try to solve the quadratic equation. |
| 34. | Five mark exercise problem XI | Other | hard | 5 m. | Check your understanding skills in the concept of solving quadratic equations. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the quadratic equation | Other | easy | 2 m. | Practice problem to find the quadratic equation using the given information. |
| 2. | Find the zeroes | Other | easy | 2 m. | In this exerices, let us find the zeroes of the given quadratic expression. |
| 3. | Choose the constant should be add and subtract the equation | Other | easy | 2 m. | In this exercise, find the constant add and subtract the quadratic equation by the method of completing the square. |
| 4. | Find the roots of the following quadratic equations by factorisation | Other | easy | 2 m. | In this exercise, find the roots of the quadratic equations by factorisation method. |
| 5. | Solve by the method of completing the square | Other | easy | 2 m. | Practice problem to solve the quadratic equation by the method of completing the square. |
| 6. | Solve by using quadratic formula | Other | easy | 2 m. | Practice problem to solve the quation by using the quadratic formula. |
| 7. | Frame the equation and select the correct answer | Other | easy | 2 m. | Select the correct answer by framing quadratic equation. |
| 8. | Find the sum and product of the roots of the given equations | Other | medium | 2 m. | Work on the problem to find the sum and product of the given equations. |
| 9. | Find the numbers by their difference | Other | medium | 5 m. | Work on the problem to find the numbers by the difference of the numbers. |
| 10. | Solve the equation | Other | medium | 5 m. | Solve the equation by factorisation method. |
| 11. | Find the fraction | Other | medium | 5 m. | Work on the problem to find the fraction of the numbers by solving quadratic equation. |
| 12. | Find the roots of the equation | Other | medium | 2 m. | Work on the problem to find the roots of the equation. |
| 13. | Find the two digit number | Other | medium | 5 m. | Practice problem to find the two digit number using quadratic equation. |
| 14. | Choose the value of 'k' | Other | medium | 2 m. | Practice problem to find the value of 'k' by solving the equation. |
| 15. | Find the obtained marks in two subjects | Other | medium | 5 m. | In this exercise, frame the equation and find the obtained marks. |
| 16. | Find the sides of the right triangle | Other | hard | 5 m. | In this exercise, find the sides of the right triangle using quadratic equation. |
| 17. | Determine the present ages | Other | hard | 5 m. | In this exercise, find the present ages of son and father by using quadratic equation. |
| 18. | Solving quadratic equation: Broken tree | Other | hard | 5 m. | Understand the situation and answer the questions given in the exercise. |
| 19. | Determine the speed of the train | Other | hard | 5 m. | Try to represent the given situation in the form of quadratic equation and find the speed of the train. |
| 20. | Find the speed of the stream | Other | hard | 5 m. | Work on the problem to find the speed of the stream. |
| 21. | Find the dimensions of the garden | Other | hard | 5 m. | Frame the equation for the given situationa and solve it to find the dimensions. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Form the quadratic equation | Other | medium | 2 m. | Try to form the quadratic equation using the given roots. |
| 2. | Find the speed of the stream | Other | medium | 5 m. | Practice a problem by applying the concept of solving a quadratic equation. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Choose the value by solving the equation | Other | easy | 2 m. | In this exercise, choose the correct answer by solving the given equation. |
| 2. | Factorize the expresion by grouping it | Other | easy | 2 m. | Practice a problem on factorizing the expression by grouping method. |
| 3. | Determine the numbers by their sum | Other | medium | 2 m. | In this exercise, find the numbers by using the sum of the numbers. |
| 4. | Solve for 'x' | Other | medium | 2 m. | Work on the problem to find the value of 'x' by solving the equation. |
| 5. | Find the dimenstions of the square | Other | medium | 5 m. | Frame the equation and solve it to find the dimensions of the square. |
| 6. | Calculate the time | Other | hard | 5 m. | In this exercise, calculate the time and show your work. |
| 7. | Determine the usual speed of the aeroplane | Other | hard | 5 m. | Understand the situation and answer the given questions. |
| 8. | Solve the equation | Other | easy | 2 m. | Practice a problem to find the roots of the given quadratic equations. |
| 9. | Roots of the quadratic equation | Other | easy | 1 m. | Try to answer the given questions. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 8 m. | |
| 2. | Homework II | 00:20:00 | easy | 8 m. | |
| 3. | Homework III | 00:20:00 | easy | 11 m. | |
| 4. | Homework IV | 00:15:00 | easy | 12 m. | |
| 5. | Homework V | 00:20:00 | medium | 14 m. | |
| 6. | Homework VI | 00:25:00 | medium | 14 m. | |
| 7. | Homework VII | 00:20:00 | medium | 15 m. | |
| 8. | Revision test I | 00:20:00 | medium | 17 m. | |
| 9. | Revision test II | 00:25:00 | medium | 17 m. | |
| 10. | Revision test III | 00:25:00 | hard | 20 m. | |
| 11. | Revision test IV | 00:25:00 | hard | 17 m. | |
| 12. | Revision test V | 00:30:00 | hard | 20 m. | |
| 13. | Revision test VI | 00:30:00 | hard | 20 m. | |
| 14. | Revision test VII | 00:30:00 | hard | 21 m. | |
| 15. | Revision test VIII | 00:35:00 | hard | 25 m. | |
| 16. | Periodic Assessment | 00:10:00 | medium | 2 m. | |
| 17. | Periodic Assessment - 3 | 00:10:00 | medium | 2 m. | PA3 |
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