problem Take your Dog for a Walk Age 7 to 11 Challenge level Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?
problem Curve Hunter Age 14 to 18 Challenge level This problem challenges you to sketch curves with different properties.
problem Curve fitter Age 14 to 18 Challenge level This problem challenges you to find cubic equations which satisfy different conditions.
problem MathsJam Jars Age 14 to 16 Challenge level Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
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.
problem Bird-Brained Age 16 to 18 Challenge level How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.
problem A close match Age 16 to 18 Challenge level Can you massage the parameters of these curves to make them match as closely as possible?
problem What's that graph? Age 14 to 18 Challenge level Can you work out which processes are represented by the graphs?
problem Fill Me Up Age 11 to 14 Challenge level Can you sketch graphs to show how the height of water changes in different containers as they are filled?
problem Guessing the graph Age 14 to 16 Challenge level Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?