UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Volume of sphere and hollow sphere | Learn how to find out the volume of a sphere and hollow sphere. |
| 2. | Volume of hemisphere | Learn how to find out the volume of a hemisphere. |
| 3. | Frustum of a cone | Get introduced to the shape frustum of a cone. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 1 m. | Work on the problem to find the answers using volume of sphere, hemisphere and frustum. |
| 2. | Multiple choice question II | Other | easy | 1 m. | Work on the problem to find the answers using volume of sphere, hemisphere and frustum. |
| 3. | Multiple choice question III | Other | easy | 1 m. | Work on the problem to find the answers using volume of sphere, hemisphere and frustum. |
| 4. | Multiple choice question IV | Other | easy | 4 m. | Work on the problem to find the answers using volume of sphere, hemisphere and frustum. |
| 5. | Two mark example problem | Other | medium | 2 m. | Work on the problem to find the answers using volume of sphere, hemisphere and frustum. |
| 6. | Two mark exericse problem | Other | medium | 2 m. | Work on the problem to find the answers using volume of sphere, hemisphere and frustum. |
| 7. | Five mark example problem I | Other | hard | 5 m. | Work on the problem to find the diameter of the second hemisphere using volume of first hemisphere. |
| 8. | Five mark example problem II | Other | hard | 5 m. | Work on the problem to find the diameter of the second hemisphere using volume of first hemisphere. |
| 9. | Five mark exercise problem I | Other | hard | 5 m. | Analyse the questions and answer using volume of sphere, hemisphere and frustum. |
| 10. | Five mark exercise problem II | Other | hard | 5 m. | Analyse the questions and answer using volume of sphere, hemisphere and frustum. |
| 11. | Five mark exercise problem III | Other | hard | 5 m. | Analyse the questions and answer using volume of sphere, hemisphere and frustum. |
| 12. | Five mark exercise problem IV | Other | hard | 5 m. | Analyse the questions and answer using volume of sphere, hemisphere and frustum. |
| 13. | Five mark exercise problem V | Other | hard | 5 m. | Analyse the questions and answer using volume of sphere, hemisphere and frustum. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the volume of a sphere | Other | easy | 3 m. | Determine the volume of a sphere using radius of the sphere. |
| 2. | Find the volume of a hemisphere | Other | easy | 3 m. | Practice problem to find the volume of a hemisphere. |
| 3. | Find the weight of the box | Other | easy | 3 m. | Find the weight of the box using the weight of the Christmas balls. |
| 4. | Find the volume of the silver used to make the bowl | Other | medium | 4 m. | Work on the problem to find the volume of the silver used to make the bowl using inner radius and thickness of the bowl. |
| 5. | Find the volume of the lamp | Other | medium | 4 m. | Work on the problem to find the volume of the lamp using surface area. |
| 6. | Calculate the volume of a hemisphere | Other | medium | 4 m. | Calculate the volume of a hemisphere using the total surface area of a hemisphere. |
| 7. | Find the ratio of volumes of two sphere | Other | medium | 4 m. | Work on the problem to find the ratio of volume of two spheres using the ratio of radii. |
| 8. | How many balls can be made | Other | medium | 4 m. | Find the number of smaller balls can be made from the bigger ball. |
| 9. | Find the radius of the wood apple | Other | medium | 4 m. | Work on the problem to find the radius of the wood apple using the weight of the apple. |
| 10. | Find the volume of the frustum | Other | medium | 4 m. | Practice problem to find the volume of the frustum. |
| 11. | Find the thickness of the bowl | Other | medium | 4 m. | Work on the problem to find the thickness of the hemispherical bowl. |
| 12. | Find the height of the kulfi | Other | medium | 4 m. | Practice problem to find the area of the kulfi using frustum of a cone formula. |
| 13. | Find the volume of the material required to make the shell | Other | medium | 4 m. | Analyse the question and answer using the given information. |
| 14. | Find the time taken to empty the tank | Other | hard | 5 m. | Find the time taken to emptry the tank using the formula of volume of hemisphere. |
| 15. | Select the correct answers | Other | hard | 4 m. | Select the correct answers using the given information. |
| 16. | Find the diameter of the second hemisphere | Other | hard | 5 m. | Work on the problem to find the diameter of the second hemisphere using volume of first hemisphere. |
| 17. | Find the diameter and surface area | Other | hard | 5 m. | Find the diameter and surface area of the sphere using volume of the sphere. |
| 18. | Find the radius of the lower side of the bucket | Other | hard | 5 m. | Work on the problem to find the radius of the lower side of the bucket. |
| 19. | Case study: Frustum of a cone | Other | hard | 5 m. | Understand the given situation and answer the questions. |
| 20. | Calculate the weight of a hollow brass sphere | Other | hard | 5 m. | Practice problem to find the volume of the hollow hemisphere. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Calculate the volume of the frustum | Other | medium | 2 m. | Work on the problem to find the answers using volume of sphere, hemisphere and frustum. |
| 2. | Calculate the weight of a hollow brass sphere | Other | hard | 5 m. | Work on the problem to find the diameter of the second hemisphere using volume of first hemisphere. |
| 3. | Prove the following | Other | hard | 5 m. | Analyse the question and answer using the given information. |
| 4. | Calculate the cost of milk which fills the container | Other | hard | 5 m. | Try to find the correct answer using frustum of a cone formula. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Calculate the volume of the iron ball | Other | easy | 3 m. | Work on the problem to find the volume of the spherical ball using diameter of the ball. |
| 2. | Find the ratio between the volume of sphere and hemisphere | Other | medium | 5 m. | Find the ratio between the volume of sphere and hemisphere using surface area. |
| 3. | Ratio between the volume of earth and moon | Other | medium | 5 m. | Determine the ratio between the volume of earth and moon using the given information. |
| 4. | Find the diameter of the bowl | Other | medium | 4 m. | Work on the problem to find the diameter of the hemispherical bowl using the volume of the bowl. |
| 5. | Select the correct answers | Other | hard | 5 m. | Choose the correct answers using surface area of the hemisphere. |
| 6. | Find the percentage change in radius | Other | hard | 5 m. | Work on the problem to find the percentage change in radius of the sphere. |
| 7. | Choose the correct answer | Other | hard | 6 m. | Try to find the correct answer using frustum of a cone formula. |
| 8. | Find the area and the capacity of the metal bucket | Other | hard | 6 m. | Work on the problem to find the area and the capacity of the metal bucket. |
| 9. | Ratio of the sphere volumes | Other | medium | 1 m. | Work on the problem to find the answers using volume of sphere, hemisphere and frustum. |
| 10. | The volume of the frustum of a cone | Other | medium | 1 m. | Work on the problem to find the answers using volume of sphere, hemisphere and frustum. |
| 11. | Find the volume of a hemisphere | Other | easy | 1 m. | Practice problem to find the volume of a hemisphere. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 8 m. | |
| 2. | Homework II | 00:20:00 | medium | 9 m. | |
| 3. | Homework III | 00:20:00 | medium | 14 m. | |
| 4. | Homework IV | 00:20:00 | medium | 15 m. | |
| 5. | Homework V | 00:25:00 | medium | 13 m. | |
| 6. | Homework VI | 00:25:00 | medium | 16 m. | |
| 7. | Revision test I | 00:20:00 | medium | 16 m. | |
| 8. | Revision test II | 00:20:00 | medium | 18 m. | |
| 9. | Revision test III | 00:20:00 | medium | 20 m. | |
| 10. | Revision test IV | 00:25:00 | medium | 17 m. | |
| 11. | Revision test V | 00:30:00 | medium | 18 m. | |
| 12. | Revision test VI | 00:30:00 | medium | 14 m. | |
| 13. | Revision test VII | 00:30:00 | medium | 17 m. | |
| 14. | Periodic Assessment | 00:15:00 | medium | 2 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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