Exploring and noticing

  • Robotic Rotations
    problem
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    Robotic rotations

    Age
    11 to 16
    Challenge level
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    How did the the rotation robot make these patterns?

  • problem
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    Marbles in a box

    Age
    11 to 16
    Challenge level
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    How many winning lines can you make in a three-dimensional version of noughts and crosses?

  • Tourism
    problem
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    Tourism

    Age
    11 to 16
    Challenge level
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    If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.

  • Magic potting sheds
    problem
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    Magic potting sheds

    Age
    11 to 16
    Challenge level
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    Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

  • Connect Three
    problem
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    Connect three

    Age
    11 to 16
    Challenge level
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    In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

  • Searching for mean(ing)
    problem
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    Searching for mean(ing)

    Age
    11 to 16
    Challenge level
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    If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

  • Wipeout
    problem
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    Wipeout

    Age
    11 to 16
    Challenge level
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    Can you do a little mathematical detective work to figure out which number has been wiped out?

  • Triangle in a Trapezium
    problem
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    Triangle in a trapezium

    Age
    11 to 16
    Challenge level
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    Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?

  • Rhombus It
    problem
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    Rhombus it

    Age
    11 to 16
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

  • problem
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    Shopping basket

    Age
    11 to 16
    Challenge level
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    The items in the shopping basket add and multiply to give the same amount. What could their prices be?