Triangles

problem
Putting two and two together

Age

7 to 11

Challenge level

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?
problem
Repeating patterns

Age

5 to 7

Challenge level

Try continuing these patterns made from triangles. Can you create your own repeating pattern?
problem
Triangle shapes

Age

5 to 11

Challenge level

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
problem
Impossible triangles?

Age

16 to 18

Challenge level

Which of these triangular jigsaws are impossible to finish?
problem
Notes on a triangle

Age

11 to 14

Challenge level

Can you describe what happens in this film?
problem
Lighting up time

Age

7 to 14

Challenge level

A very mathematical light - what can you see?
problem
The square hole

Age

14 to 16

Challenge level

If the yellow equilateral triangle is taken as the unit for area, what size is the hole ?
problem
Equal equilateral triangles

Age

14 to 16

Challenge level

Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?
problem
Overlaps

Age

5 to 7

Challenge level

What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.
problem
Inside triangles

Age

5 to 7

Challenge level

How many different triangles can you draw which each have one dot in the middle?