Explaining, convincing and proving

problem
Thousand words

Age

16 to 18

Challenge level

Here the diagram says it all. Can you find the diagram?
problem
Road maker 2

Age

16 to 18

Challenge level

Can you work out where the blue-and-red brick roads end?
problem
Transformations for 10

Age

16 to 18

Challenge level

Explore the properties of matrix transformations with these 10 questions.
problem
Dodgy proofs

Age

16 to 18

Challenge level

These proofs are wrong. Can you see why?
problem
Interpolating polynomials

Age

16 to 18

Challenge level

Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.