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