UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Area of the triangle | To learn how to find the area of the triangle if its vertices are given. |
| 2. | Collinearity of the points | To learn the collinearity property of the points using the area of triangle. |
| 3. | Area of the quadrilateral | To learn how to find the area of the quadrilateral if its vertices are given. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 2. | Multiple choice question II | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 3. | Two marks example problem I | Other | medium | 2 m. | Try to answer the given questions. |
| 4. | Two marks example problem II | Other | medium | 2 m. | Try to answer the given questions. |
| 5. | Two marks example problem III | Other | medium | 2 m. | Try to answer the given questions. |
| 6. | Two marks example problem IV | Other | medium | 2 m. | Try to answer the given questions. |
| 7. | Two marks exercise problem I | Other | medium | 4 m. | Try to answer the given questions. |
| 8. | Two marks exercise problem II | Other | medium | 4 m. | Try to answer the given questions. |
| 9. | Two marks exercise problem III | Other | medium | 4 m. | Try to determine the value of the variables. |
| 10. | Two marks exercise problem IV | Other | medium | 4 m. | Try to determine the value of the variables. |
| 11. | Five marks example problem I | Other | hard | 5 m. | Try to answer the given questions. |
| 12. | Five marks example problem II | Other | hard | 5 m. | Try to answer the given questions. |
| 13. | Five marks example problem III | Other | hard | 5 m. | Try to answer the given questions. |
| 14. | Five mark exercise problem I | Other | hard | 10 m. | Try to find the area of the quadrilateral and the missing value. |
| 15. | Five mark exercise problem II | Other | hard | 5 m. | Try to find the area of the quadrilateral and the missing value. |
| 16. | Five mark exercise problem III | Other | hard | 5 m. | Try to answer the given questions. |
| 17. | Five mark exercise problem IV | Other | hard | 5 m. | Try to answer the given questions. |
| 18. | Five marks exercise problem IV | Other | hard | 5 m. | Try to answer the given questions. |
| 19. | Five marks exercise problem V | Other | hard | 5 m. | Try to answer the given questions. |
| 20. | Five marks exercise problem VI | Other | hard | 5 m. | Try to answer the given questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the area | Other | easy | 2 m. | To find the area of the triangle joining the given vertices. |
| 2. | Find the area of the triangle | Other | easy | 2 m. | To find the area of the triangle joining the given vertices. |
| 3. | Show that the points are collinear | Other | easy | 2 m. | To find the area of the triangle joining the given vertices. |
| 4. | Find the value of 'm' | Other | easy | 2 m. | To find the value of 'm' if the given points are collinear. |
| 5. | Determine the area of the quadrilateral | Other | easy | 2 m. | To determine the area of the quadrilateral joining the given vertices. |
| 6. | Find the value of 'k' | Other | medium | 2 m. | To find the value of 'k' using the area of the triangle joining the given vertices. |
| 7. | Check whether the points are collinear | Other | medium | 2 m. | To check whether the points are collinear or not using the area of the triangle. |
| 8. | Find the area of the quadrilateral | Other | medium | 2 m. | To find the area of the quadrilateral joining the given vertices. |
| 9. | Determine the value of 'p' | Other | medium | 2 m. | To determine the value of 'p' using the area of the quadrilateral joining the given vertices. |
| 10. | Find the relation between 'a' and 'b' | Other | medium | 2 m. | To find the the relation between 'a' and 'b' if the given points are collinear. |
| 11. | Find the vertex and calculate the required area | Other | medium | 5 m. | To find area of the triangle joining the given vertices under certain conditions. |
| 12. | Find the area of the required triangle | Other | hard | 5 m. | To find area of the required triangle joining the given vertices under certain conditions. |
| 13. | Find the third vertex of the triangle | Other | hard | 5 m. | To find the third vertex of the triangle for the given condition. |
| 14. | Understand the statement and answer the questions | Other | hard | 5 m. | To understand the concept of collinearity using area of triangle. |
| 15. | Find the area of the polygon | Other | hard | 5 m. | To find the area of a polygon for the given condition. |
| 16. | Find the vertices and compute the area | Other | hard | 5 m. | To find the vertices of the new triangle and to compute the area. |
| 17. | Find the area of the walls | Other | hard | 5 m. | To find the area of the walls using the area of the triangle joining the given vertices. |
| 18. | Find the cost of laying | Other | hard | 5 m. | To find the cost of laying from the area of the quadrilateral joining the given vertices. |
| 19. | Compute the value of 'x' and 'y' | Other | hard | 5 m. | To find the value of 'x' and 'y' if the the area of the triangle is zero. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the area of the triangle | Other | easy | 1 m. | To find the area of the triangle joining the given vertices. |
| 2. | Determine the value of 'a' | Other | easy | 1 m. | To find the value of 'a' if the given points are collinear. |
| 3. | Calculate the area of the quadrilateral | Other | hard | 5 m. | To find the area of the quadrilateral joining the given vertices. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Compute the value of 'a' | Other | easy | 2 m. | To find the value of 'a' if the the area of the triangle is zero. |
| 2. | Find the vertex of the triangle | Other | medium | 5 m. | To find the third vertex of the triangle for the given condition. |
| 3. | Find the area of the described triangle | Other | hard | 5 m. | To find area of the required triangle joining the given vertices under certain conditions. |
| 4. | Prove the statement | Other | hard | 5 m. | To prove the statement using the area of triangle. |
| 5. | Area of the triangle | Other | easy | 2 m. | Select the suitable choice for the given questions. |
| 6. | Determine the area of the quadrilateral | Other | easy | 1 m. | To determine the area of the quadrilateral joining the given vertices. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 9 m. | |
| 2. | Homework II | 00:20:00 | medium | 12 m. | |
| 3. | Homework III | 00:20:00 | medium | 8 m. | |
| 4. | Homework IV | 00:25:00 | hard | 8 m. | |
| 5. | Revision test I | 00:25:00 | medium | 12 m. | |
| 6. | Revision test II | 00:25:00 | medium | 15 m. | |
| 7. | Revision test III | 00:30:00 | hard | 21 m. | |
| 8. | Revision test IV | 00:40:00 | hard | 35 m. | |
| 9. | Revision test V | 00:40:00 | hard | 46 m. | |
| 10. | Periodic Assessment | 00:10:00 | medium | 2 m. | |
| 11. | Periodic Assessment - 3 | 00:10:00 | medium | 2 m. | PA3 |
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