### 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?