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