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!
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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!
Thank you for publishing your resource. It has been selected to be featured in <a href="https://www.tes.com/teaching-resources/collections/secondary-maths/"> a new secondary maths collection</a>.
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.
Good level of challenge, perfect for a problem solving lesson on volume with year 10. Thanks a lot
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