Exploring and noticing

  • Next size up
    problem
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    Next Size Up

    Age
    7 to 11
    Challenge level
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    The challenge for you is to make a string of six (or more!) graded cubes.

  • Factor track
    problem
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    Factor Track

    Age
    7 to 11
    Challenge level
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    Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

  • Now and Then
    problem
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    Now and Then

    Age
    7 to 11
    Challenge level
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    Have a look at the results for some events at past Olympic Games. Can you use these to predict the results at the next Olympics?

  • Through the Window
    problem
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    Through the Window

    Age
    7 to 11
    Challenge level
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    My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

  • Different Deductions
    problem
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    Different Deductions

    Age
    7 to 11
    Challenge level
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    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • problem
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    Take Your Dog for a Walk

    Age
    7 to 11
    Challenge level
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    Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

  • Seeing Rhombuses
    problem
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    Seeing Rhombuses

    Age
    7 to 11
    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.

  • Sticky Triangles
    problem
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    Sticky Triangles

    Age
    7 to 11
    Challenge level
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    Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?
  • problem
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    Cut It Out

    Age
    7 to 11
    Challenge level
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    Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

  • problem
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    Watch the Clock

    Age
    7 to 11
    Challenge level
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    During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?