Use the interactivity to investigate what kinds of triangles can
be drawn on peg boards with different numbers of pegs. How many
triangles can you make on the 3 by 3 pegboard? There are nine
teddies in Teddy Town - three red, three blue and three yellow.
There are also nine houses, three of each colour. Can you put
them on the map of Teddy Town according to the rules? Have a go
at this 3D extension to the Pebbles problem. Explore the
different tunes you can make with these five gourds. What are
the similarities and differences between the two tunes you The
ancient Egyptians were said to make right-angled triangles using
a rope with twelve equal sections divided by knots. What other
triangles could you make if you had a rope like this? Using
different numbers of sticks, how many different triangles are
you able to make? Can you make any rules about the numbers of
sticks that make the most triangles? How can you arrange these
10 matches in four piles so that when you move one match from
three of the piles into