Reflections

  • Building with rods
    problem

    Building With Rods

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    In how many ways can you stack these rods, following the rules?

  • Building with longer rods
    problem

    Building With Longer Rods

    Age
    7 to 14
    Challenge level
    filled star filled star filled star
    A challenging activity focusing on finding all possible ways of stacking rods.
  • So it's times!
    problem

    So It's Times!

    Age
    7 to 14
    Challenge level
    filled star filled star filled star

    How will you decide which way of flipping over and/or turning the grid will give you the highest total?

  • It's Times Again
    problem

    It's Times Again

    Age
    7 to 14
    Challenge level
    filled star filled star filled star
    Which way of flipping over and/or turning this grid will give you the highest total? You'll need to imagine where the numbers will go in this tricky task!
  • Symmetriangle
    problem

    Symmetriangle

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Weekly Problem 35 - 2012
    How many more triangles need to be shaded to make the pattern have a line of symmetry?

  • Angular Reflection
    problem

    Angular Reflection

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Weekly Problem 28 - 2013
    Two lines meet at a point. Another line through this point is reflected in both of these lines. What is the angle between the image lines?

  • Decoding Transformations
    problem

    Decoding Transformations

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?

  • Flagged Up
    problem

    Flagged Up

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Weekly Problem 31 - 2008
    The flag is given a half turn anticlockwise about the point O and is then reflected in the dotted line. What is the final position of the flag?

  • Potatoes
    problem

    Potatoes

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Weekly Problem 19 - 2009
    When I looked at the greengrocer's window I saw a sign. When I went in and looked from the other side, what did I see?

  • Combining Transformations
    problem

    Combining Transformations

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Does changing the order of transformations always/sometimes/never produce the same transformation?