2D shapes and their properties

problem
LOGO challenge 11 - more on circles

Age

11 to 16

Challenge level

Thinking of circles as polygons with an infinite number of sides - but how does this help us with our understanding of the circumference of circle as pi x d? This challenge investigates this relationship.
problem
LOGO challenge 12 - concentric circles

Age

11 to 16

Challenge level

Can you reproduce the design comprising a series of concentric circles? Test your understanding of the realtionship betwwn the circumference and diameter of a circle.
problem
Triangular hexagons

Age

7 to 11

Challenge level

Investigate these hexagons drawn from different sized equilateral triangles.
problem
Like a circle in a spiral

Age

7 to 16

Challenge level

A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?
problem
Diagonal division

Age

11 to 14

Challenge level

Weekly Problem 45 - 2008
The diagram shows a regular pentagon with two of its diagonals. If all the diagonals are drawn in, into how many areas will the pentagon be divided?
problem
Contact circles

Age

14 to 16

Challenge level

These four touching circles have another circle hiding amongst them...
problem
What shape for two

Age

7 to 14

Challenge level

'What Shape?' activity for adult and child. Can you ask good questions so you can work out which shape your partner has chosen?
problem
Quadrilaterals in a hexagon

Age

7 to 14

Challenge level

Which of these quadrilaterals can you find in the hexagon?
problem
Some(?) of the parts

Age

14 to 16

Challenge level

A circle touches the lines OA, OB and AB where OA and OB are perpendicular. Show that the diameter of the circle is equal to the perimeter of the triangle
problem
Kissing

Age

16 to 18

Challenge level

Two perpendicular lines are tangential to two identical circles that touch. What is the largest circle that can be placed in between the two lines and the two circles and how would you construct it?