UPSKILL MATH PLUS
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Learn moreMethodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Volume of sphere | Learn how to find out the volume of a sphere. |
| 2. | Volume of hemisphere | Learn how to find out the volume of a hemisphere. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the volume of a sphere | 2nd type - interpretation | easy | 3 m. | Determine the volume of a sphere using radius of the sphere. |
| 2. | Find the volume of a hemisphere | 2nd type - interpretation | easy | 3 m. | Practice problem to find the volume of a hemisphere. |
| 3. | Find the weight of the box | 2nd type - interpretation | 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 | 3rd type - analysis | 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 | 3rd type - analysis | medium | 4 m. | Work on the problem to find the volume of the lamp using surface area. |
| 6. | Calculate the volume of a hemisphere | 3rd type - analysis | 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 | 3rd type - analysis | medium | 2 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 | 3rd type - analysis | medium | 5 m. | Find the number of smaller balls can be made from the bigger ball. |
| 9. | Find the radius of the wood apple | 2nd type - interpretation | medium | 4 m. | Work on the problem to find the radius of the wood apple using the weight of the apple. |
| 10. | Select the correct answers | 3rd type - analysis | hard | 6 m. | Select the correct answers using the given information. |
| 11. | Find the diameter of the second hemisphere | 3rd type - analysis | hard | 5 m. | Work on the problem to find the diameter of the second hemisphere using volume of first hemisphere. |
| 12. | Find the diameter and surface area | 3rd type - analysis | hard | 5 m. | Find the diameter and surface area of the sphere using volume of the sphere. |
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. | Choose 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. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test | 00:15:00 | medium | 10 m. | |
| 2. | Training test | 00:15:00 | medium | 11 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework | 00:20:00 | medium | 13 m. | |
| 2. | Homework | 00:25:00 | hard | 14 m. | |
| 3. | Progress test | 00:20:00 | medium | 13 m. | |
| 4. | Progress test | 00:25:00 | hard | 15 m. |