game
Last biscuit
Can you find a strategy that ensures you get to take the last biscuit in this game?
problem
Road maker
Age
14 to 18
Challenge level
Which of these roads will satisfy a Munchkin builder?
problem
Curve hunter
Age
14 to 18
Challenge level
This problem challenges you to sketch curves with different properties.
problem
Favourite
Vector journeys
Age
14 to 18
Challenge level
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?
problem
Can you traverse it?
Age
14 to 18
Challenge level
How can you decide if a graph is traversable?
problem
Favourite
Quad in quad
Age
14 to 18
Challenge level
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
problem
Favourite
Exploring cubic functions
Age
14 to 18
Challenge level
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
problem
Favourite
Back fitter
Age
14 to 18
Challenge level
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?
problem
Favourite
Root hunter
Age
16 to 18
Challenge level
In this short problem, try to find the location of the roots of
some unusual functions by finding where they change sign.
problem
Simply graphs
Age
16 to 18
Challenge level
Look for the common features in these graphs. Which graphs belong together?
problem
Polite numbers
Age
16 to 18
Challenge level
A polite number can be written as the sum of two or more consecutive positive integers, for example 8+9+10=27 is a polite number. Can you find some more polite, and impolite, numbers?
problem
Favourite
Spinners
Age
16 to 18
Challenge level
How do scores on dice and factors of polynomials relate to each
other?
problem
Impossible triangles?
Age
16 to 18
Challenge level
Which of these triangular jigsaws are impossible to finish?