Visualising and representing

  • On the Edge
    problem
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    On the Edge

    Age
    11 to 14
    Challenge level
    2 out of 3

    If you move the tiles around, can you make squares with different coloured edges?

  • Stars
    problem
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    Stars

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you work out what step size to take to ensure you visit all the dots on the circle?

  • Mixing Paints
    problem
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    Mixing Paints

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you work out how to produce different shades of pink paint?

  • Speeding up, slowing down
    problem
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    Speeding Up, Slowing Down

    Age
    11 to 14
    Challenge level
    2 out of 3

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

  • Squares in rectangles
    problem
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    Squares in Rectangles

    Age
    11 to 14
    Challenge level
    2 out of 3

    A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?

  • Route to infinity
    problem
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    Route to Infinity

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you describe this route to infinity? Where will the arrows take you next?

  • Triangle Numbers
    problem
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    Triangle Numbers

    Age
    11 to 14
    Challenge level
    2 out of 3

    Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?

  • Maths filler
    problem
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    Maths Filler

    Age
    11 to 14
    Challenge level
    2 out of 3

    Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

  • Christmas chocolates
    problem
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    Christmas Chocolates

    Age
    11 to 14
    Challenge level
    2 out of 3

    How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?

  • The Tower of Hanoi - three wooden poles, with several coloured rings of decreasing sizes on the middle pole.
    problem
    Favourite

    Tower of Hanoi

    Age
    11 to 14
    Challenge level
    2 out of 3

    The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.