UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction | Get introduced to the topic mensuration. |
| 2. | Surface area of a right circular cylinder | Learn about surface area of a right circular cylinder and their properties. |
| 3. | Surface area of a hollow cylinder | Learn about surface area of a hollow cylinder and their properties. |
| 4. | Surface area of right circular cone | Learn about surface area of a right circular cone and their properties. |
| 5. | Example problem of a right circular cylinder and hollow cylinder | Learn how to use surface area of a cylinder formulas in cylindrical objects. |
| 6. | Example problem of a right circular cone | Learn how to use surface area of a cone formulas in conical objects. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 1 m. | Try to answer all the multiple choice questions. |
| 2. | Multiple choice question II | Other | easy | 1 m. | Try to answer all the multiple choice questions. |
| 3. | Multiple choice question III | Other | easy | 1 m. | Try to answer all the multiple choice questions. |
| 4. | Two marks example problem I | Other | medium | 2 m. | Analyse the question and answer it using the surface areas of cylinder and cone. |
| 5. | Two marks example problem II | Other | medium | 2 m. | Analyse the question and answer it using the surface areas of cylinder and cone. |
| 6. | Two marks example problem III | Other | medium | 2 m. | Analyse the question and answer it using the surface areas of cylinder and cone. |
| 7. | Two marks example problem IV | Other | medium | 2 m. | Work on the problem to find the answers using surface areas of cylinder and cone. |
| 8. | Two marks exercise problem | Other | medium | 2 m. | Work on the problem to find the answers using surface areas of cylinder and cone. |
| 9. | Five marks example problems II | Other | hard | 5 m. | Work on the problem to find the answers using surface areas of cylinder and cone. |
| 10. | Five marks example problems III | Other | hard | 5 m. | Work on the problem to find the answers using surface areas of cylinder and cone. |
| 11. | Five marks example problems IV | Other | hard | 5 m. | Work on the problem to find the answers using surface areas of cylinder and cone. |
| 12. | Five marks exercise problem I | Other | hard | 5 m. | Analyse the question and answer it using the surface areas of cylinder and cone. |
| 13. | Five marks exercise problem II | Other | hard | 5 m. | Analyse the question and answer it using the surface areas of cylinder and cone. |
| 14. | Five marks exercise problem III | Other | hard | 5 m. | Analyse the question and answer it using the surface areas of cylinder and cone. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Match the correct formula | Other | easy | 2 m. | To test the knowledge of knowing the formulas for right circular cylinder and right circular cone. |
| 2. | Find the total surface area of a cylinder | Other | easy | 3 m. | Practice problem to find the total surface area of a cylinder. |
| 3. | Find the total surface area of a cone | Other | easy | 1 m. | Work on the problem to find the total surface area of a cone. |
| 4. | Evaluate the curved surface area of a cone | Other | easy | 1 m. | Practice problem to find the curved surface area of a cone. |
| 5. | Evaluate the area of the tin sheet required to cover the vessel | Other | easy | 4 m. | Try to evaluate the area of the tin sheet required to cover the vessel. |
| 6. | Complete the box | Other | medium | 4 m. | Work on the problem to find the curved surface area and total surface area of the cylinder. |
| 7. | Calculate the area of the cylindrical drum | Other | medium | 4 m. | Practice problem to find the area of the cylindrical object using surface area of a cylinder formulas. |
| 8. | Find the diameter of the base of the cool drink tin | Other | medium | 4 m. | Find the diameter of the base of cylindrical object. |
| 9. | Calculate the surface area of the container | Other | medium | 4 m. | Practice problem to calculate the surface area of the cylindrical object. |
| 10. | Choose the correct answer | Other | medium | 4 m. | Problem to find the surface area and the cost of the conical object. |
| 11. | Calculate the radius and height of the cylinder | Other | medium | 4 m. | Work on the problem to find the radius and height of the cylinder using ratios. |
| 12. | Find the height of the tent | Other | medium | 4 m. | Work on the problem to find the height of the conical objects. |
| 13. | Find the slant height of the birthday cap | Other | medium | 4 m. | Problem to find the slant height of the conical object using curved surface area. |
| 14. | Find the radius and height of the iron cylinder | Other | medium | 4 m. | Let us find the radius and height of the iron cylinder using the given information. |
| 15. | Find the number of birthday caps can be made by the girl | Other | medium | 4 m. | Analyse the problem and solve using the surface area of a cone. |
| 16. | Find the area of the metal sheet | Other | hard | 5 m. | Practice problem to find the area of the cylindrical object. |
| 17. | Find the area of the metal used to make a water tank | Other | hard | 6 m. | Find the area of the metal used to make a water tank using cylindrical formulas. |
| 18. | Evaluate the cost of the paper to make the joker's cap | Other | hard | 5 m. | Problem to find the surface area of the conical object. |
| 19. | Choose the correct answer | Other | hard | 6 m. | Choose the correct answer using surface area of a cylinder formula. |
| 20. | Determine the cost of the wall | Other | hard | 5 m. | Work on the problem to find the area of the plane surface using the surface area of the cylindrical object. |
| 21. | Find the total surface area of the remaining solid | Other | hard | 5 m. | Analyse the question and answer using surface area of a right circular cylinder. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | How much area will the garden roller cover in 8 revolutions | Other | medium | 2 m. | Work on the problem to find the how much area will the garden roller cover in 8 revolutions. |
| 2. | Quantity of paint required to paint the tunnel | Other | medium | 5 m. | Work on the problem to find the answers using surface areas of cylinder and cone. |
| 3. | Compare the curved surface areas | Other | hard | 5 m. | Analyse the question and answer it using the surface areas of cylinder and cone. |
| 4. | Determine the number of caps made by the girl | Other | hard | 5 m. | Work on the problem to find the answers using surface area of cylinder and cone. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Calculate the slant height of the flowet pot firecracker | Other | easy | 3 m. | Problem to find the slant height of the conical object using total surface area. |
| 2. | Complete the table | Other | medium | 4 m. | Enter the correct formulas for right circular cylinder and right circular cone. |
| 3. | Find the height of the bamboo stick | Other | medium | 4 m. | Work on the problem to find the height of the cylindrical object using curved surface area. |
| 4. | Find the quantity of paint required to paint the tunnel | Other | medium | 4 m. | Try to find how many litres of paint is required to paint the cylinder. |
| 5. | Solve and upload the picture | Other | hard | 5 m. | Analyse the problem and solve using the surface area of a cylinder. |
| 6. | Find the area of the glass sheet | Other | hard | 5 m. | Problem to find the area of the glass sheet covered the conical object. |
| 7. | Compare the surface area of cones formed by the triangle | Other | hard | 6 m. | Let us compare the surface area of cones formed by the triangle. |
| 8. | Diameter of the cylinder | Other | medium | 1 m. | Analyse the question and answer it using the surface areas of cylinder and cone. |
| 9. | The height of the cone | Other | easy | 1 m. | Try to answer the questions using surface area and volume of solids. |
| 10. | Total surface area of a hollow cylinder | Other | medium | 1 m. | Work on the problem to find the answers using surface areas 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 | 14 m. | |
| 4. | Homework IV | 00:25:00 | medium | 15 m. | |
| 5. | Homework V | 00:25:00 | medium | 10 m. | |
| 6. | Revision test I | 00:25:00 | medium | 16 m. | |
| 7. | Revision test II | 00:25:00 | medium | 16 m. | |
| 8. | Revision test III | 00:25:00 | medium | 20 m. | |
| 9. | Revision test IV | 00:25:00 | medium | 18 m. | |
| 10. | Revision test V | 00:25:00 | medium | 18 m. | |
| 11. | Revision test VI | 00:25:00 | medium | 17 m. | |
| 12. | Revision test VII | 00:25:00 | medium | 16 m. | |
| 13. | Periodic Assessment | 00:15:00 | medium | 2 m. | PAT 2 |
| 14. | Periodic Assessment - Extended version | 00:10:00 | medium | 2 m. | PA 2 |
| 15. | Periodic Assessment - 3 | 00:10:00 | medium | 2 m. | PA3 |
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