Regular polygons and circles

problem

Part the Polygons

Age

7 to 11

Challenge level

1 out of 3

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
problem

Overlapping Circles

Age

7 to 11

Challenge level

1 out of 3

What shaped overlaps can you make with two circles which are the same size?
problem

Circle Panes

Age

7 to 11

Challenge level

1 out of 3

Look at the mathematics that is all around us - this circular window is a wonderful example.
problem

Sports Equipment

Age

7 to 11

Challenge level

1 out of 3

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?
problem

Circular Area

Age

7 to 11

Challenge level

1 out of 3

How could you find out the area of a circle? Take a look at these ways.
problem

Hexagon Transformations

Age

7 to 11

Challenge level

2 out of 3

Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!
problem

Shapely Tiling

Age

7 to 11

Challenge level

2 out of 3

Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
problem

Shaping Up

Age

7 to 11

Challenge level

2 out of 3

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
problem

Clock Hands

Age

7 to 11

Challenge level

3 out of 3

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.
problem

Yin Yang

Age

7 to 11

Challenge level

3 out of 3

Can you reproduce the Yin Yang symbol using a pair of compasses?