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