Can you find the link between these beautiful circle patterns and Farey Sequences?
Farey sequences are lists of fractions in ascending order of magnitude. Can you prove that in every Farey sequence there is a special relationship between Farey neighbours?
Which dilutions can you make using only 10ml pipettes?
ABCD is a square. P is the midpoint of AB and is joined to C. A line from D perpendicular to PC meets the line at the point Q. Prove AQ = AD.
Investigate what happens when you add house numbers along a street in different ways.
Four quadrants are drawn centred at the vertices of a square . Find the area of the central region bounded by the four arcs.
Try out this number trick. What happens with different starting numbers? What do you notice?
