Perimeter

  • Perimeter Possibilities
    problem
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    Perimeter Possibilities

    Age
    11 to 14
    Challenge level
    1 out of 3

    I'm thinking of a rectangle with an area of 24. What could its perimeter be?

  • Perimeter Challenge
    problem
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    Perimeter Challenge

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you deduce the perimeters of the shapes from the information given?

  • On the Edge
    problem
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    On the Edge

    Age
    11 to 14
    Challenge level
    2 out of 3

    If you move the tiles around, can you make squares with different coloured edges?

  • Warmsnug Double Glazing
    problem
    Favourite

    Warmsnug Double Glazing

    Age
    14 to 16
    Challenge level
    1 out of 3

    How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

  • Pick's Theorem
    problem
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    Pick's Theorem

    Age
    14 to 16
    Challenge level
    2 out of 3

    Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.

  • Coke machine
    problem

    Coke Machine

    Age
    14 to 16
    Challenge level
    1 out of 3
    The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...
  • Squareflake
    problem

    Squareflake

    Age
    16 to 18
    Challenge level
    2 out of 3
    A finite area inside and infinite skin! You can paint the interior of this fractal with a small tin of paint but you could never get enough paint to paint the edge.
  • Smaller and Smaller
    problem

    Smaller and Smaller

    Age
    7 to 14
    Challenge level
    3 out of 3
    Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?
  • Lawn Border
    problem

    Lawn Border

    Age
    5 to 11
    Challenge level
    1 out of 3

    If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?

  • Cutting it Out
    problem

    Cutting It Out

    Age
    5 to 11
    Challenge level
    1 out of 3

    I cut this square into two different shapes. What can you say about the relationship between them?