Working systematically

  • A Square of Numbers
    problem
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    A Square of Numbers

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

  • Fractional Triangles
    problem
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    Fractional Triangles

    Age
    7 to 11
    Challenge level
    1 out of 3

    Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

  • problem
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    A Mixed-Up Clock

    Age
    7 to 11
    Challenge level
    1 out of 3

    There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

  • Brush Loads
    problem
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    Brush Loads

    Age
    7 to 11
    Challenge level
    1 out of 3

    How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

  • Torn Shapes
    problem
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    Torn Shapes

    Age
    7 to 11
    Challenge level
    1 out of 3

    These rectangles have been torn. How many squares did each one have inside it before it was ripped?

  • What's in the Box?
    problem
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    What's in the Box?

    Age
    7 to 11
    Challenge level
    1 out of 3

    This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

  • Shape Times Shape
    problem
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    Shape Times Shape

    Age
    7 to 11
    Challenge level
    1 out of 3

    These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

  • 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
    1 out of 3

    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?

  • Magic Vs
    problem
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    Magic Vs

    Age
    7 to 11
    Challenge level
    1 out of 3

    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
    1 out of 3

    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?