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 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 on the dotty grid which each have one dot in the middle?
problem Number the Sides Age 7 to 11 Challenge level The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?