UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Recalling segments of a circle | Let us recall the segments of a circle. |
| 2. | Important formulae | Let us get introduced to the important formulae dealing with circles. |
| 3. | Areas of Combinations of Plane Figures | Learn about the areas of combinations of plane figures. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the length of the arc | 2nd type - interpretation | easy | 2 m. | Find the length of the arc using the given data. |
| 2. | Find the area of the major sector | 2nd type - interpretation | easy | 1 m. | Find the area of the major sector from the given options. |
| 3. | Circle and triangle: The area of the shaded region | 1st type - receptive | easy | 3 m. | Practice to find the area of the shaded region using the given details. |
| 4. | The perimeter of the sector | 2nd type - interpretation | easy | 2 m. | Find the perimeter of the sector from the given options. |
| 5. | Area of shaded region of semi circle | 3rd type - analysis | easy | 4 m. | Farmer- Find the excess amount required for the land using circumference method |
| 6. | Area of the flower bed | 2nd type - interpretation | easy | 3 m. | Practice to find the Area of the flower bed using the given details. |
| 7. | Determine area of the shaded design | 2nd type - interpretation | easy | 3 m. | Practice to calculate the area of the coloured design using the given details. |
| 8. | Areas of major and minor segments | 2nd type - interpretation | medium | 4 m. | Find the areas of major and minor segments from the data given. |
| 9. | Calculate the area of the specified region | 2nd type - interpretation | medium | 4 m. | Calculate the area of the specified region using the given data. |
| 10. | Find the area covered by the minute hand | 2nd type - interpretation | medium | 4 m. | Find the area covered by the minute hand using the given data. |
| 11. | Find the area of the corresponding sector | 2nd type - interpretation | medium | 1 m. | Find the area of the corresponding sector using the given data. |
| 12. | Find the area of the sector | 2nd type - interpretation | medium | 1 m. | Find the area of the sector using the data given. |
| 13. | Find the area to be painted | 2nd type - interpretation | medium | 1 m. | Find the area to be painted black using the data given. |
| 14. | Find the perimeter of the sector | 2nd type - interpretation | medium | 1 m. | Find the perimeter of the sector using the data given. |
| 15. | Find the unknown angle | 2nd type - interpretation | medium | 3 m. | Find the unknown angle of the sector using the data given. |
| 16. | The area of the region | 2nd type - interpretation | medium | 1 m. | Find the area between the two concentric circles. |
| 17. | Specifics of a square grass field | 2nd type - interpretation | medium | 2 m. | Find the specified areas dealing with the square grass field. |
| 18. | Determine the area of the shaded region | 2nd type - interpretation | medium | 4 m. | Practice to determine the area of the shaded region using the given details. |
| 19. | Estimate area of the shaded region | 2nd type - interpretation | medium | 4 m. | Practice to find the area of the shaded region using the given details. |
| 20. | Calculate the area of the field a calf can graze | 3rd type - analysis | medium | 4 m. | Practice to calculate the area of the field a calf can graze. |
| 21. | Determine the area of the region | 2nd type - interpretation | hard | 1 m. | Determine the area of the region using the data given. |
| 22. | Find the areas of the minor segments | 2nd type - interpretation | hard | 1 m. | Find the areas of major and minor segments using the data given. |
| 23. | Calculate the area of the shaded region | 2nd type - interpretation | hard | 1 m. | Calculate the area of the shaded region using the data given. |
| 24. | Calculate the area of the shaded region of the given figures | 3rd type - analysis | hard | 4 m. | Find the area of the shaded region of the given figures. |
| 25. | The increased area of the grassy lawn | 3rd type - analysis | hard | 4 m. | Practice to the increased area of the grassy lawn using the given details. |
| 26. | Find the area of the shaded region of the given figures | 3rd type - analysis | hard | 6 m. | Find the area of the shaded region of the given figures. |
| 27. | Area of the sector: Assertion and reasoning | 3rd type - analysis | hard | 4 m. | Practice the assertion and reasoning related to area of the sector. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the specifics of the circle | Other | easy | 2 m. | Find the specified measurements of the circle using the data given. |
| 2. | Derive the area of the shaded portion | Other | medium | 4 m. | Derive the area of the shaded portion using the data given. |
| 3. | The area of the shaded region within the circle | Other | medium | 1 m. | Find the area of the shaded region within the circle. |
| 4. | The cummulative area of the shaded region | Other | hard | 1 m. | The cummulative area of the shaded region using the given data. |
| 5. | Answer the following | Other | hard | 8 m. | Answer the following questions based on areas of sectors and segments. |
| 6. | Calculate the area of the shaded region | Other | medium | 4 m. | Practice to find the area of the shaded region using the known values. |
| 7. | Find the area of the major sector | Other | easy | 1 m. | Find the area of the major sector from the given options. |
| 8. | Find the area of the shaded region | Other | medium | 4 m. | Practice to find the area of the shaded region using the known values. |
| 9. | The perimeter of the sector | Other | easy | 2 m. | Find the perimeter of the sector from the given options. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | medium | 11 m. | |
| 2. | Training test II | 00:15:00 | medium | 10 m. | |
| 3. | Training test III | 00:15:00 | medium | 14 m. | |
| 4. | Training test IV | 00:15:00 | medium | 11 m. | |
| 5. | Training test V | 00:15:00 | medium | 10 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 12 m. | |
| 2. | Homework II | 00:15:00 | medium | 12 m. | |
| 3. | Progress test I | 00:25:00 | hard | 16 m. | |
| 4. | Progress test II | 00:25:00 | hard | 13 m. | |
| 5. | Progress test III | 00:15:00 | medium | 14 m. | |
| 6. | Periodic Assessment | 00:15:00 | medium | 2 m. | PA 2 |
| 7. | Periodic Assessment | 00:15:00 | medium | 4 m. | PA 2 |
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