In the diagram the radius length is 10 units, OP is 8 units and OQ
is 6 units. If the distance PQ is 5 units what is the distance P'Q'
In the diagram the point P' can move to different places along the
dotted line. Each position P' takes will fix a corresponding
position for P. If P' moves along a straight line what does P do ?
In the diagram the point P can move to different places around the
dotted circle. Each position P takes will fix a corresponding
position for P'. As P moves around on that circle what will P' do?
Change one equation in this pair of simultaneous equations very
slightly and there is a big change in the solution. Why?
Why are there only a few lattice points on a hyperbola and
infinitely many on a parabola?
Find a quadratic formula which generalises Pick's Theorem.
Follow the hints and prove Pick's Theorem.
Ruth from Manchester finds a powerful way to look at number
Go to last month's problems to see more solutions.
This article for students and teachers tries to think about how
long would it take someone to create every possible shuffle of a
pack of cards, with surprising results.