Use your knowledge of angles to work out how many degrees the hour
and minute hands of a clock travel through in different amounts of
Chippy the Robot goes on journeys. How far and in what direction
must he travel to get back to his base?
How many different triangles can you make on a circular pegboard
that has nine pegs?
Can you find all the different triangles on these peg boards, and
find their angles?
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
How many different triangles can you make which consist of the
centre point and two of the points on the edge? Can you work out
each of their angles?
What is the relationship between the angle at the centre and the
angles at the circumference, for angles which stand on the same
arc? Can you prove it?
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Tobi and Charles explain how you would find the total number of crossings for any number of sticks.
Go to last month's problems to see more solutions.
Suggestions for worthwhile mathematical activity on the subject of
angle measurement for all pupils.
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to block your opponent?