Can you find the gradients of the lines that form a triangle?
A napkin is folded so that a corner coincides with the midpoint of an opposite edge. Investigate the three triangles formed.
It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.
Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
What is the same and what is different about these circle questions? What connections can you make?
Explore the relationships between different paper sizes.
Given a regular pentagon, can you find the distance between two non-adjacent vertices?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Can you make sense of the three methods to work out what fraction of the total area is shaded?
Can you find the distance between the two trees using the information given?
