UPSKILL MATH PLUS

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Methodical recommendation:

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 Other easy 3 m. Choose the correct option for the given question.
2. Two mark example problems I Other medium 8 m. Work on the problems to find the answers using volume of cylinder and cone.
3. Five mark example problems II Other hard 10 m. Find the ratio of radii of two cones using the ratio of volume of two cones.
4. Five marks exercise problem I Other hard 15 m. Work on the problems to find the answers using volume of cylinder and cone.
5. Five mark exercise problems II Other hard 15 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.

Question Bank for Teachers

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:25:00 medium 19 m.
2. Homework II 00:25:00 medium 20 m.
3. Homework III 00:25:00 medium 23 m.
4. Homework IV 00:25:00 medium 24 m.
5. Homework V 00:25:00 medium 18 m.
6. Homework VI 00:25:00 medium 17 m.
7. Revision test I 00:25:00 medium 16 m.
8. Revision test II 00:25:00 medium 16 m.
9. Revision test III 00:20:00 medium 13 m.
10. Revision test IV 00:20:00 medium 13 m.
11. Revision test V 00:20:00 medium 13 m.
12. Periodic Assessment 00:15:00 medium 2 m. PAT 2
13. Periodic Assessment - Extended version 00:10:00 medium 4 m. PA 2
14. Periodic Assessment - 3 00:10:00 medium 2 m. PA3