### Rationals Between...

What fractions can you find between the square roots of 65 and 67?

### 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?

# Equal Temperament

##### Stage: 4 Challenge Level:

The topic of music can make a good connection between science and mathematics

The nature of sound and the working of the ear are rich areas of applied mathematics.

The ratio emphasis follows from harmonics or overtones and rests on ideas like lowest common multiple.

One teacher has offered the following comment : This Stage 4 work makes practice in multiplying and dividing fractions purposeful. And in school invites collaboration between the music and mathematics departments.