Transformations: 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.


  • Reflecting Squarely
    problem
    Favourite

    Reflecting Squarely

    Age
    11 to 14
    Challenge level
    1 out of 3

    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • Shady Symmetry
    problem
    Favourite

    Shady Symmetry

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many different symmetrical shapes can you make by shading triangles or squares?

  • Mirror, mirror...
    problem
    Favourite

    Mirror, Mirror...

    Age
    11 to 14
    Challenge level
    1 out of 3

    Explore the effect of reflecting in two parallel mirror lines.

  • Growing Rectangles
    problem
    Favourite

    Growing Rectangles

    Age
    11 to 14
    Challenge level
    1 out of 3

    What happens to the area and volume of 2D and 3D shapes when you enlarge them?

  • Attractive rotations
    problem
    Favourite

    Attractive Rotations

    Age
    11 to 14
    Challenge level
    1 out of 3

    Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

  • Transformation Game
    game
    Favourite

    Transformation Game

    Age
    11 to 14
    Challenge level
    2 out of 3

    Why not challenge a friend to play this transformation game?

  • ...on the wall
    problem
    Favourite

    ...on the Wall

    Age
    11 to 14
    Challenge level
    2 out of 3

    Explore the effect of reflecting in two intersecting mirror lines.

  • Robotic Rotations
    problem
    Favourite

    Robotic Rotations

    Age
    11 to 16
    Challenge level
    2 out of 3

    How did the the rotation robot make these patterns?

  • Fit for photocopying
    problem
    Favourite

    Fit for Photocopying

    Age
    14 to 16
    Challenge level
    3 out of 3

    Explore the relationships between different paper sizes.