UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Volume of right circular cylinder | Learn about volume of a right circular cylinder. |
| 2. | Volume of hollow cylinder | Learn about volume of hollow cylinder. |
| 3. | Volume of right circular cone | Learn about volume of a right circular cone. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 1 m. | Choose the correct option for the given question. |
| 2. | Multiple choice question II | Other | easy | 1 m. | Choose the correct option for the given question. |
| 3. | Multiple choice question III | Other | easy | 1 m. | Choose the correct option for the given question. |
| 4. | Two mark example problem I | Other | medium | 2 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 5. | Two mark example problem II | Other | medium | 2 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 6. | Two mark example problem III | Other | medium | 2 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 7. | Two mark example problems IV | Other | medium | 2 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 8. | Five mark example problem I | Other | hard | 5 m. | Find the ratio of radii of two cones using the ratio of volume of two cones. |
| 9. | Five mark example problem II | Other | hard | 5 m. | Find the ratio of radii of two cones using the ratio of volume of two cones. |
| 10. | Five marks exercise problem I | Other | hard | 5 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 11. | Five marks exercise problem II | Other | hard | 5 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 12. | Five marks exercise problem III | Other | hard | 5 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 13. | Five mark exercise problem IV | Other | hard | 5 m. | Work on the problem to find the difference in the volumes of the two solids using the given information. |
| 14. | Five mark exercise problems V | Other | hard | 5 m. | Work on the problem to find the difference in the volumes of the two solids using the given information. |
| 15. | Five mark exercise problem VI | Other | hard | 5 m. | Work on the problem to find the difference in the volumes of the two solids using the given information. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the volume of a cylinder | Other | easy | 3 m. | Practice problem to find the volume of a cylinder using base area. |
| 2. | Determine the volume of the wafer cone | Other | easy | 3 m. | Work on the problem to find the volume of the wafer cone using diameter and height. |
| 3. | Find the diameter of the base of the cone | Other | easy | 3 m. | Find the diameter of the base of the cone using volume and height. |
| 4. | Calculate the height of the conical solid | Other | easy | 3 m. | Work on the problem to find the height of the cone using volume and base area. |
| 5. | Find the volume of the Christmas tree | Other | easy | 3 m. | Calculate the volume of the Christmas tree in grams using radius and height of the tree. |
| 6. | Calculate the height of the cylindrical vessel | Other | medium | 4 m. | In this exercise, calculate the height of the cylindrical vessel. |
| 7. | How much litres of water the container can hold | Other | medium | 4 m. | Calculate the capacity of the container using the height and circumference of the base. |
| 8. | Find the mass of the vessel | Other | medium | 4 m. | Calculate the mass of the vessel using the given information. |
| 9. | Find the volume of cylindrical drums | Other | medium | 4 m. | Work on the problem to find the volume of cylindrical drums. |
| 10. | Calculate the number of glasses of juice and the amount received by the shop keeper | Other | medium | 4 m. | Work on the problem and find the answer using the given information. |
| 11. | How much milk the orphanage need to buy | Other | medium | 1 m. | Find how much milk the orphanage need to buy using diameter and height of the glass. |
| 12. | Calculate the height of the embankment | Other | medium | 4 m. | Work on the problem to find the height of the embankment. |
| 13. | Calculate the ratio between the height of cones | Other | medium | 4 m. | Calculate the ratio between the height of two cones using volumes of the cones. |
| 14. | Evalute the volume of the cylinder | Other | medium | 4 m. | Evalute the volume of the cylinder using total surface area of the cylinder. |
| 15. | Find the capacity of the hollow cylindrical container | Other | medium | 4 m. | Practice problem to find the capacity of the hollow cylindrical container. |
| 16. | Which pack has greater capacity | Other | hard | 5 m. | Find out which pack has greater capacity using the given information. |
| 17. | Calculate the radius and volume of the trash bin | Other | hard | 5 m. | Calculate the radius and volume of the trash bin using curved surface area. |
| 18. | Calculate the radius and the volume of the cone | Other | hard | 5 m. | Calculate the radius and volume of the cone using height and slant height. |
| 19. | Select the correct answers | Other | hard | 6 m. | Select the correct answers using the diameter and curved surface area of the hat. |
| 20. | Calculate the time taken to empty the container | Other | hard | 5 m. | Analyze the problem and find the time taken to empty the container. |
| 21. | Calculate the volume of two cylinders and the ratio | Other | hard | 6 m. | Calculate the volume of two cylinders and the ratio using the given information. |
| 22. | Determine the percentage change in the volume | Other | hard | 5 m. | Determine the percentage change in the volume of the right circular cylinder. |
| 23. | How many words can be written | Other | hard | 5 m. | Practice problem to apply the volume of cylindrical formula in real life application. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the volume of the iron used to make a hollow cylinder | Other | medium | 2 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 2. | Compare the cylinders | Other | medium | 5 m. | Find the ratio of radii of two cones using the ratio of volume of two cones. |
| 3. | Find the height of the embankment | Other | hard | 5 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 4. | Find the difference in volumes of the two solids so formed | Other | hard | 5 m. | Work on the problem to find the difference in the volumes of the two solids using the given information. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the diameter of the pillar | Other | easy | 3 m. | Find the diameter of the pillar using volume and height of the pillar. |
| 2. | Determine the volume of the tin | Other | easy | 3 m. | Determine the volume of the soft drink tin lin litres using diameter and height of the tin. |
| 3. | Find the ratio between the volumes of cone and cylinder | Other | medium | 4 m. | Find the ratio between the volume of cone and cylinder using the given information. |
| 4. | Calculate the raised the water in the glass | Other | medium | 4 m. | Work on the problem to calculate the raised water in the glass. |
| 5. | Determine the volume of the wooden piece | Other | medium | 4 m. | In this exericse, determine the volume of the wooden piece. |
| 6. | What will be the ratio of cylinder and new cylinder | Other | medium | 5 m. | Calculate the ratio of cylinder and new cylinder using the given information. |
| 7. | Choose the correct answer | Other | hard | 5 m. | Choose the correct answer using the given information. |
| 8. | Calculate the difference in volumes of two solids | Other | hard | 5 m. | Work on the problem to find the difference in the volumes of the two solids using the given information. |
| 9. | Determine the number of cones | Other | hard | 5 m. | Work on the problem to find the number of cones formed when big solid cone is melted. |
| 10. | Volume of a hollow cylinder | Other | medium | 1 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 11. | The volume of a cylinder | Other | medium | 1 m. | Work on the problems to find the answers using volume of cylinder and cone. |
| 12. | The volume of the cone | Other | easy | 1 m. | Choose the correct option for the given question. |
| 13. | The radius of the cone | Other | medium | 1 m. | Work on the problems to find the answers using volume of cylinder and cone. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:25:00 | medium | 9 m. | |
| 2. | Homework II | 00:25:00 | medium | 10 m. | |
| 3. | Homework III | 00:25:00 | medium | 17 m. | |
| 4. | Homework IV | 00:25:00 | medium | 18 m. | |
| 5. | Homework V | 00:25:00 | medium | 12 m. | |
| 6. | Homework VI | 00:25:00 | medium | 16 m. | |
| 7. | Revision test I | 00:25:00 | medium | 13 m. | |
| 8. | Revision test II | 00:25:00 | medium | 18 m. | |
| 9. | Revision test III | 00:20:00 | medium | 22 m. | |
| 10. | Revision test IV | 00:20:00 | medium | 17 m. | |
| 11. | Revision test V | 00:20:00 | medium | 16 m. | |
| 12. | Revision test VI | 00:20:00 | medium | 17 m. | |
| 13. | Periodic Assessment | 00:15:00 | medium | 2 m. | PAT 2 |
| 14. | Periodic Assessment - Extended version | 00:10:00 | medium | 4 m. | PA 2 |
| 15. | Periodic Assessment - 3 | 00:10:00 | medium | 2 m. | PA3 |
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