Last biscuit
Can you find a strategy that ensures you get to take the last biscuit in this game?
Vector walk
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Curve hunter
This problem challenges you to sketch curves with different properties.
Vector journeys
Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
Can you traverse it?
How can you decide if a graph is traversable?
Road maker
Quad in quad
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
Exploring cubic functions
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
Back fitter
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Simply graphs
Root hunter
Polite numbers
Spinners
Impossible triangles?