3D Shapes: Age 11-16

This is part of our collection of favourite rich tasks arranged by topic.

If you are a teacher, you can find the whole collection on our Secondary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Secondary Curriculum student page.


  • Triangles to Tetrahedra
    problem
    Favourite

    Triangles to Tetrahedra

    Age
    11 to 14
    Challenge level

    Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

  • problem
    Favourite

    Marbles in a Box

    Age
    11 to 16
    Challenge level

    How many winning lines can you make in a three-dimensional version of noughts and crosses?

  • Nine Colours
    problem
    Favourite

    Nine Colours

    Age
    11 to 16
    Challenge level

    Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

  • Tet-Trouble
    problem
    Favourite

    Tet-Trouble

    Age
    14 to 16
    Challenge level

    Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?

Displaying 1 - 4 of 4