Visualising and representing

  • Take three numbers
    problem

    Take three numbers

    Age
    7 to 11
    Challenge level
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    What happens when you add three numbers together? Will your answer be odd or even? How do you know?

  • Let us divide!
    problem

    Let us divide!

    Age
    7 to 11
    Challenge level
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    Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

  • A4 Fraction Subtraction
    problem

    A4 fraction subtraction

    Age
    7 to 11
    Challenge level
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    This task offers opportunities to subtract fractions using A4 paper.

  • Folded Number Line
    problem

    Folded number line

    Age
    7 to 11
    Challenge level
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    When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.

  • Picture Your Method
    problem

    Picture your method

    Age
    7 to 11
    Challenge level
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    Can you match these calculation methods to their visual representations?

  • Open Boxes
    problem

    Open boxes

    Age
    7 to 11
    Challenge level
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    Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?
  • Regular Rings 1
    problem

    Regular rings 1

    Age
    7 to 11
    Challenge level
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    Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
  • Regular Rings 2
    problem

    Regular rings 2

    Age
    7 to 11
    Challenge level
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    What shape is made when you fold using this crease pattern? Can you make a ring design?
  • Fraction Lengths
    problem

    Fraction lengths

    Age
    7 to 11
    Challenge level
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    Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?

  • Price Match
    problem

    Price match

    Age
    7 to 11
    Challenge level
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    Can you find pairs of differently sized windows that cost the same?