Working systematically

  • A wooden noughts and crosses game, with three crosses in a diagonal row.
    problem
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    First Connect Three

    Age
    7 to 11
    Challenge level
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    Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

  • Putting Two and Two Together
    problem

    Putting Two and Two Together

    Age
    7 to 11
    Challenge level
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    In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
  • tiling
    problem

    Tiling

    Age
    7 to 11
    Challenge level
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    An investigation that gives you the opportunity to make and justify predictions.
  • Cubes Here and There
    problem

    Cubes Here and There

    Age
    7 to 11
    Challenge level
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    How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
  • Magic Vs
    problem
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    Magic Vs

    Age
    7 to 11
    Challenge level
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    Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

  • Bryony's Triangle
    problem
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    Bryony's Triangle

    Age
    7 to 11
    Challenge level
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    Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

  • Order the changes
    problem

    Order the Changes

    Age
    7 to 11
    Challenge level
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    Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
  • problem
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    Fifteen Cards

    Age
    7 to 11
    Challenge level
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    Can you use the information to find out which cards I have used?

  • Polydron
    problem

    Polydron

    Age
    7 to 11
    Challenge level
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    This activity investigates how you might make squares and pentominoes from Polydron.
  • Domino sets
    problem
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    Domino Sets

    Age
    7 to 11
    Challenge level
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    How do you know if your set of dominoes is complete?