UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Surface area of a sphere | Learn surface area of a sphere and their properties. |
| 2. | Surface area of a hemisphere and hollow hemisphere | Learn surface area of a hemisphere and their properties. |
| 3. | Surface area of a frustum of a cone | Get introduced to the shape frustum of a cone. |
| 4. | Example problems of a sphere and frustum of a cone | Learn to do problems based on the shape sphere and frustum of a cone. |
| 5. | Example problems of a hemisphere and hollow hemisphere | Learn how to use surface area of a hemisphere formula in hemispherical objects. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 1 m. | Try to find the answers for multiple choice questions using surface areas of sphere and hemisphere. |
| 2. | Multiple choice question II | Other | easy | 1 m. | Try to find the answers for multiple choice questions using surface areas of sphere and hemisphere. |
| 3. | Two marks example problem I | Other | medium | 2 m. | Work on the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 4. | Two marks example problem II | Other | medium | 2 m. | Work on the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 5. | Two marks example problem III | Other | medium | 2 m. | Work on the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 6. | Two marks example problem IV | Other | medium | 2 m. | Work on the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 7. | Five marks example problem I | Other | hard | 5 m. | Work on the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 8. | Five marks example problem II | Other | hard | 5 m. | Work on the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 9. | Five marks example problem III | Other | hard | 5 m. | Work on the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 10. | Five marks exercise problem I | Other | hard | 5 m. | Try to solve the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 11. | Five marks exercise problem II | Other | hard | 5 m. | Try to solve the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 12. | Five marks exercise problem III | Other | hard | 5 m. | Try to solve the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Say "true" or "false" | Other | easy | 2 m. | Remember the formulas of a sphere and hemisphere and say whether the given statement is true or false. |
| 2. | Find the radius of a sphere | Other | easy | 3 m. | Practice problem to find the radius of a sphere when surface area is given. |
| 3. | Find the diameter of the sphere | Other | easy | 3 m. | Find the diameter of the sphere using surface area of a sphere. |
| 4. | Find the height of the frustum | Other | easy | 3 m. | Work on the problem to find the height of th frustum. |
| 5. | Find the slant height of the glass | Other | easy | 3 m. | In this exercise, find the slant height of the glass. |
| 6. | Find the radius of the hemisphere | Other | easy | 3 m. | Practice problem to find the radius of a hemisphere when surface area is given. |
| 7. | Calculate the surface areas of a hemisphere | Other | medium | 4 m. | Work on the problem to find the curved surface area and the total surface area of hemisphere. |
| 8. | Find the radius and surface area of a hemispherical solid | Other | medium | 4 m. | Work on the problem to find the radius and surface area of a hemispherical solid. |
| 9. | Determine the cost of tin-plating the hemispherical bowl | Other | medium | 4 m. | Find the cost of tin-plating the hemispherical bowl using surface area formula. |
| 10. | Find the ratio of surface area of the balloons | Other | medium | 4 m. | Problem to find the ratio of surface area of the balloons in two cases using surface area formula. |
| 11. | How much money needed to buy the cloth | Other | medium | 4 m. | Calculate how much money needed to buy the cloth for hemispherical tent. |
| 12. | Determine the curved surface area of the frustum | Other | medium | 4 m. | In this exercise, find the curved surface area of the frustum using the given information. |
| 13. | Find the curved surface area of the bucket | Other | medium | 4 m. | Work on the problem to find the curved surface area of the bucket. |
| 14. | Determine the cost of painting the frustum part of the lamp | Other | medium | 4 m. | Practice problem to find the cost of painting the frustum part of the lamp. |
| 15. | Find the cost to paint the vessel | Other | medium | 4 m. | Work on the problem to find the cost of painting the vessel using the given information. |
| 16. | Complete the table | Other | hard | 6 m. | Complete the table using the formulas of surface area of a sphere and hemisphere. |
| 17. | Evaluate the cost of manufacturing the footballs | Other | hard | 4 m. | Work on the problem to find the cost of manufacturing the footballs. |
| 18. | Calculate the surface area and radius of the hemispherical glass dome | Other | hard | 5 m. | Work on the problem to find the surface area and radius of the hemispherical glass dome. |
| 19. | Find the increased percentage in surface area | Other | hard | 4 m. | Problem to find the increased percentage in surface area of a sphere. |
| 20. | Determine C.S.A. and T.S.A. of the shell. | Other | hard | 6 m. | Try to find surface areas of the shell using the given information. |
| 21. | Find the height and the curved surface area of the frustum | Other | hard | 4 m. | Try to find the height and the curved surface area of the frustum. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find C.S.A. and T.S.A. of the shell | Other | hard | 5 m. | Work on the problem to find the answer using surface areas of hemisphere. |
| 2. | Cost of painting the lamp | Other | hard | 5 m. | Try to solve the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Calculate the surface area of a sphere | Other | easy | 3 m. | Work on the problem to find the diameter of a sphere when surface area is given. |
| 2. | Obtain the slant height of the cupcake | Other | easy | 3 m. | Practice problem to find the slant height of the cupcake. |
| 3. | Calculate the ratio of a area of a sphere and cylinder | Other | medium | 5 m. | Calculate the ratio of the area of a cylinder and sphere using surface area formulas. |
| 4. | Determine the ratio of the surface area of a moon and earth | Other | medium | 5 m. | Determine the ratio of the surface area of a moon and earth using surface area formula. |
| 5. | Calculate the cost required to paint a volleyball | Other | medium | 4 m. | Calculate the cost required to paint a volleyball using surface area formula. |
| 6. | Find the total surface area of the frustum of a cone | Other | medium | 4 m. | Work on the problem to find the total surface area of the frustum of a cone. |
| 7. | Calculate the surface area of the vessel | Other | hard | 5 m. | Calculate the surface area of the vessel that contains a spherical Gulab jamuns. |
| 8. | Find the C.S.A. and T.S.A. of the bowl | Other | hard | 6 m. | Find the C.S.A. and T.S.A. of the bowl using surface area formula. |
| 9. | Find the area of the material needed to make the Turkish cap | Other | hard | 5 m. | Try to find the area of the material needed to make the Turkish cap. |
| 10. | Find the height of the frustum | Other | easy | 1 m. | Work on the problem to find the height of th frustum. |
| 11. | Radius of the hemisphere | Other | easy | 1 m. | Practice problem to find the radius of a hemisphere when surface area is given. |
| 12. | Find the ratio of the surface area | Other | medium | 1 m. | Work on the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
| 13. | Find the diameter of the sphere | Other | medium | 1 m. | Work on the problem to find the answers using surface areas of sphere, hemisphere and frustum. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 9 m. | |
| 2. | Homework II | 00:20:00 | medium | 9 m. | |
| 3. | Homework III | 00:20:00 | medium | 12 m. | |
| 4. | Homework IV | 00:20:00 | medium | 12 m. | |
| 5. | Homework V | 00:20:00 | medium | 14 m. | |
| 6. | Revision test I | 00:25:00 | medium | 14 m. | |
| 7. | Revision test II | 00:25:00 | medium | 16 m. | |
| 8. | Revision test III | 00:25:00 | medium | 16 m. | |
| 9. | Revision test IV | 00:25:00 | medium | 19 m. | |
| 10. | Revision test V | 00:25:00 | medium | 20 m. | |
| 11. | Revision test VI | 00:25:00 | medium | 16 m. | |
| 12. | Revision test VII | 00:25:00 | medium | 13 m. | |
| 13. | Revision test VIII | 00:25:00 | medium | 16 m. | |
| 14. | Periodic Assessment | 00:15:00 | medium | 4 m. | PAT 2 |
| 15. | Periodic Assessment - Extended version | 00:10:00 | medium | 2 m. | PA 2 |
| 16. | Periodic Assessment - 3 | 00:10:00 | medium | 2 m. | PA3 |
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