The nth term of a sequence is given by the formula n^3 + 11n . Find
the first four terms of the sequence given by this formula and the
first term of the sequence which is bigger than one million. Prove
that all terms of the sequence are divisible by 6.
Try to move the knight to visit each square once and return to the starting point on this unusual chessboard.
Take a complicated fraction with the product of five quartics top
and bottom and reduce this to a whole number. This is a numerical
example involving some clever algebra.
Super solutions to 'Old Nuts' came in from Vassil Vassilev of
Lawnswood High School, Leeds, Hyeyoun Chung of St Paul' Girls's
School London and Elizabeth Whitmore of Madras College, St
Here is Vassil's diagram and Hyeyoun's solution:.