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Volume Problem Solving Questions - Sphere, Cone, Cylinder, Cuboid - Higher Tier A/A*

Volume Problem Solving Questions - Sphere, Cone, Cylinder, Cuboid - Higher Tier A/A*

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

22 February 2018

docx, 2.9 MB
docx, 2.9 MB
This is a very challenging task that tests students knowledge of higher tier volume formula

This is a very demanding activity that asks students to solve problems involving 3D shapes.

Task 1 asks students to find the percentage of the container that is filled with water.
Task 2 requires students to visualise the shapes and will test their problem solving faculties, along with their understanding of the volume formulae required.
Task 3 inverts the processes in task 2 and 3 and therefore is little more demanding.
Task 4 is an open ended activity. You can add as much or as little structure to this activity as you like, but some guidelines often allow for a more thorough response from students. Eg. the shape must NOT have constant cross-section.

Some answers provided.

Enjoy!
Creative Commons "Sharealike"

Reviews

4.7

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shameena96

7 years ago
5

ek189

8 years ago
5

Great resource for stretching my year 10 set and thinking about volume in a slightly different way. They really enjoyed it and got quite competitive. thank you!

paneli

8 years ago
3

Love this challenge sheet as a stretch and challenge task, only query is if you have the solutions for the other tasks? I find it odd that you have only included solutions to task 1.

campfire123

9 years ago
5

Good level of challenge, perfect for a problem solving lesson on volume with year 10. Thanks a lot

dsc505

10 years ago
5

A challenging worksheet that will push the highest ability in their understanding of volumes. I like the context of the problems, and this can be easily pushed further to get students to design their own bottles under certain restrictions.

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4.706 reviews

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