Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### Advanced mathematics

### For younger learners

# Diagonal Trace

## You may also like

### Prime Magic

### Sets of Numbers

Or search by topic

Age 7 to 11

Challenge Level

A pentagon has five diagonals (lines drawn between the corners). You can trace over all of the diagonals without lifting your pencil and without going over any more than once. Try it.

Can the same thing be done with a hexagon (6 sides) or with a heptagon (7 sides)?

(Take care to find ALL the diagonals. Drawing a large shape will help.)

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?

How many different sets of numbers with at least four members can you find in the numbers in this box?