Regular polygons and circles

  • A section of a bracelet made of colourful beads.
    problem

    Bracelets

    Age
    7 to 11
    Challenge level
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    Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

  • problem

    Sweets in a box

    Age
    7 to 11
    Challenge level
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    How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

  • Part the Polygons
    problem

    Part the polygons

    Age
    7 to 11
    Challenge level
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    Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
  • Where are they?
    problem

    Where are they?

    Age
    7 to 11
    Challenge level
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    Use the isometric grid paper to find the different polygons.

  • Circle Panes
    problem

    Circle panes

    Age
    7 to 11
    Challenge level
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    Look at the mathematics that is all around us - this circular window is a wonderful example.
  • Sports Equipment
    problem

    Sports equipment

    Age
    7 to 11
    Challenge level
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    If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
  • Circular Area
    problem

    Circular area

    Age
    7 to 11
    Challenge level
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    How could you find out the area of a circle? Take a look at these ways.

  • problem

    Round and round the circle

    Age
    7 to 11
    Challenge level
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    What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

  • Hexagon Transformations
    problem

    Hexagon transformations

    Age
    7 to 11
    Challenge level
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    Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!