Anybody who knows where he is going is happy, unhappy people wander aimlessly in circles.
This note reports on some work which arose out of a discussion of unit or Egyptian fractions.
It is a matter of observation that paint tins are depressingly similar - they are all right circular cylinders of finite height.
Recently I've bought a tiny calculator and discovered the following ways of doing rapid calculations:
The game of three dimensional noughts and crosses is played on four layers of $4\times 4$ grids, as shown in Figure A.
For the first time ever, in this division, the first prize winner, Alan Fekete, solved every part of every question correctly.
J251 Framer Jones grew a square number of cabbages last year. This year he grew 41 more cabbages than last year and still grew a square number of cabbages. How many did he grow this year?