UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to perpendicular bisectors | Let us get introduced to perpendicular bisectors. |
| 2. | Introduction to circumcentre | Let us get introduced to circumcentre. |
| 3. | Introduction to incentre | Let us get introduced to angle bisector and incentre. |
| 4. | Properties of quadrilaterals | Let us get to know the properties of quadrilaterals. |
| 5. | Construction of a rhombus | Let us construct a rhombus using the two methods discussed in this section. |
| 6. | Other methods of constructing a rhombus | Let us look at the other two methods of constructing a rhombus. |
| 7. | Construction of a rectangle | Let us look at different methods of constructing a rectangle. |
| 8. | Construction of a square | Let us look at the different methods of constructing a square. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | One mark exercise problems | Other | easy | 2 m. | Try to find whether the given statements are correct or not. |
| 2. | Four mark example problems I | Other | medium | 4 m. | Try to find the radius of the circumcentre. |
| 3. | Four mark example problems II | Other | medium | 4 m. | Practice the problem to find the incentre of the triangle. |
| 4. | Four mark exercise problems I | Other | medium | 4 m. | Check your understanding skills in the concept of perpendicular bisectors. |
| 5. | Four mark exercise problems II | Other | medium | 4 m. | Check your understanding skills in the concept of orthocentre. |
| 6. | Four mark exercise problems III | Other | medium | 4 m. | Check your understanding skills in the concept of incentre of the triangle. |
| 7. | Five mark example problems I | Other | medium | 0 m. | Try to construct the rhombus when one side and one diagonal are given. |
| 8. | Five mark example problems II | Other | medium | 0 m. | Try to construct a rhombus when one side and one angle are given. |
| 9. | Five mark example problems III | Other | medium | 0 m. | Practice the problem to construct a rhombus when two diagonals are given. |
| 10. | Five mark example problems IV | Other | medium | 0 m. | Practice a problem to construct a rhombus when one diagonal and one angle are given. |
| 11. | Five mark example problems V | Other | medium | 0 m. | Try to construct a rectangle when its length and breadth are provided. |
| 12. | Five mark example problems VI | Other | medium | 0 m. | Try to construct a rectangle when a side and a diagonal are given. |
| 13. | Five mark example problems VII | Other | medium | 0 m. | Practice a problem to construct a square when its sides are provided. |
| 14. | Five mark example problems VIII | Other | medium | 0 m. | Try to construct a square when its diagonal is given. |
| 15. | Five mark exercise problems I | Other | hard | 0 m. | Try to construct the rhombus when one side and one diagonal are given. |
| 16. | Five mark exercise problems II | Other | hard | 0 m. | Try to construct a rhombus when one side and one angle are given. |
| 17. | Five mark exercise problems III | Other | hard | 0 m. | Practice the problem to construct a rhombus when two diagonals are given. |
| 18. | Five mark exercise problems IV | Other | hard | 0 m. | Practice a problem to construct a rhombus when one diagonal and one angle are given. |
| 19. | Five mark exercise problems V | Other | hard | 0 m. | Try to construct a rectangle when its length and breadth are provided. |
| 20. | Five mark exercise problems VI | Other | hard | 0 m. | Try to construct a rectangle when a side and a diagonal are given. |
| 21. | Five mark exercise problems VII | Other | hard | 0 m. | Practice a problem to construct a square when its sides are provided. |
| 22. | Five mark exercise problems VIII | Other | hard | 0 m. | Try to construct a square when its diagonal is given. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the required angle | Other | easy | 2 m. | Find the two bisected angles of the given angle. |
| 2. | Find the circumradius | Other | medium | 3 m. | Find the circumradius using the data given. |
| 3. | Find the area | Other | medium | 3 m. | Find the area of the quadrilateral using the data given. |
| 4. | Find the required length | Other | medium | 3 m. | Find the length of the line segment using the conditions given. |
| 5. | Find the angle | Other | hard | 5 m. | Find the required angle using the conditions given. |
| 6. | Order the steps of construction | Other | hard | 5 m. | Order the steps of construction of the given quadrilateral. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Say true or false | Other | easy | 1 m. | Try to find whether the given statements are correct or not. |
| 2. | Find the length of CS | Other | medium | 4 m. | Check your understanding skills in the concept of perpendicular bisectors. |
| 3. | Construct a rhombus | Other | medium | 0 m. | Practice the problem to construct a rhombus when two diagonals are given. |
| 4. | Construct a rectangle | Other | hard | 0 m. | Try to construct a rectangle when its length and breadth are provided. |
| 5. | Construct a square | Other | hard | 0 m. | Try to construct a square when its diagonal is given. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the radius of the circumcircle | Other | medium | 3 m. | Find the circumradius for the given condition. |
| 2. | Position of the circumcentre | Other | medium | 3 m. | Find the position of the cirumcentre of different types of triangles. |
| 3. | Arrange the steps of construction | Other | hard | 5 m. | Arrange the steps of construction of the specified quadrilteral. |
| 4. | Construct the rhombus | Other | hard | 10 m. | Construct a rhombus using the given conditions. |
| 5. | Construct a rhombus using the measurements given | Other | hard | 10 m. | Construct a rhombus using the given measurements. |
| 6. | Construct a rectangle | Other | hard | 10 m. | Construct a rectangle using the given conditions. |
| 7. | Construct a square | Other | hard | 8 m. | Construct a square using the given conditions. |
| 8. | Incentre of the triangle | Other | medium | 1 m. | Check your understanding skills in the concept of incentre of the triangle. |
| 9. | Angle bisector | Other | easy | 1 m. | Find the two bisected angles of the given angle. |
| 10. | Incentre of the triangle meets angle bisector | Other | hard | 1 m. | Find the required angle using the conditions given. |
| 11. | The resultant angles | Other | easy | 1 m. | Find the two bisected angles of the given angle. |
| 12. | Find the radius of the circumcircle | Other | medium | 1 m. | Try to find the radius of the circumcentre. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:25:00 | easy | 7 m. | |
| 2. | Homework II | 00:25:00 | medium | 7 m. | |
| 3. | Homework III | 00:25:00 | medium | 7 m. | |
| 4. | Homework IV | 00:35:00 | medium | 7 m. | |
| 5. | Homework V | 00:35:00 | medium | 8 m. | |
| 6. | Revision test I | 00:35:00 | medium | 8 m. | |
| 7. | Revision test II | 00:35:00 | hard | 10 m. | |
| 8. | Revision test III | 00:45:00 | hard | 10 m. | |
| 9. | Revision test IV | 00:45:00 | hard | 13 m. | |
| 10. | Revision test V | 00:45:00 | hard | 20 m. | |
| 11. | Periodic Assessments | 00:15:00 | medium | 6 m. | PA2 |
| 12. | Periodic Assessments 2.0 | 00:15:00 | medium | 14 m. | PA2 |
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