Try continuing these patterns made from triangles. Can you create
your own repeating pattern?
Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
What do these two triangles have in common? How are they related?
In how many ways can you fit two of these yellow triangles
together? Can you predict the number of ways two blue triangles can
be fitted together?
This problem invites you to build 3D shapes using two different
triangles. Can you make the shapes from the pictures?
Can you describe what happens in this film?
You have been given nine weights, one of which is slightly heavier
than the rest. Can you work out which weight is heavier in just two
weighings of the balance?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
Using the interactivity, can you make a regular hexagon from yellow
triangles the same size as a regular hexagon made from green
If the yellow equilateral triangle is taken as the unit for area,
what size is the hole ?
Which of these roads will satisfy a Munchkin builder?
Which of these triangular jigsaws are impossible to finish?
Can you make a square from these triangles?
Can you work out where the blue-and-red brick roads end?
Many of you found some good ways of labelling the underwater steps
in this challenge.
Esther worked out general formulae for this problem.
There is a unique way of producing each total - take a look here.
Some carefully thought-out understanding of how powers of powers
A game in which players take it in turns to choose a number. Can you block your opponent?
If you think that mathematical proof is really clearcut and
universal then you should read this article.
Solve the equations to identify the clue numbers in this Sudoku problem.