Visualising and representing

  • Midpoint Triangle
    problem

    Midpoint triangle

    Age
    7 to 11
    Challenge level
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    Can you cut up a square in the way shown and make the pieces into a triangle?
  • Super Shapes
    problem

    Super shapes

    Age
    7 to 11
    Challenge level
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    The value of the circle changes in each of the following problems. Can you discover its value in each problem?

  • A Flying Holiday
    problem

    A flying holiday

    Age
    7 to 11
    Challenge level
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    Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.
  • Plenty of Pens
    problem

    Plenty of pens

    Age
    7 to 11
    Challenge level
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    Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

  • Trebling
    problem

    Trebling

    Age
    7 to 11
    Challenge level
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    Can you replace the letters with numbers? Is there only one solution in each case?

  • The Deca Tree
    problem

    The Deca Tree

    Age
    7 to 11
    Challenge level
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    Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

  • Colour Wheels
    problem

    Colour wheels

    Age
    7 to 11
    Challenge level
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    Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

  • Odd Squares
    problem

    Odd squares

    Age
    7 to 11
    Challenge level
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    Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

  • Paw Prints
    problem

    Paw prints

    Age
    7 to 11
    Challenge level
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    A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
  • How Big Are Classes 5, 6 and 7?
    problem

    How big are classes 5, 6 and 7?

    Age
    7 to 11
    Challenge level
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    Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.