Rationals Between

What fractions can you find between the square roots of 56 and 58?

Root to Poly

Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.

Consecutive Squares

The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?

Lost in Space

Stage: 4 Challenge Level:

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?