These puzzles appeared in **Issue 04** of the magazine.

### Odd sums

What is $\frac{1+3}{5+7}$? What is $\frac{1+3+5}{7+9+11}$? What is $\frac{1+3+5+7}{9+11+13+15}$?

What is $\frac{\text{The sum of the first n odd numbers}}{\text{The sum of the next n odd numbers}}$?

### Two lines

*Source: mscroggs.co.uk*

Let A and B be two straight lines such that the gradient of A is the y-intercept of B and the y-intercept of A is the gradient of B (the gradient and y-intercept of A are not the same). What are the co-ordinates of the point where the lines meet?

### Odd squares

*Source: Maths Jam*

How many square numbers are there whose digits are all odd?

The answers to these puzzles are available here.