What fractions can you find between the square roots of 65 and 67?
Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.
The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?
The idea of routes through triangular mazes can be adapted for a range
of similar problems.
Is it possible to create different arrangements of numbers to give
different families of solutions?