Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Handshakes

If you were one of ten people at a party, how many times would you shake hands?

How many times would everyone else shake hands?

How could you use this to work out the total number of handshakes?

Check your method makes sense by trying some examples of small gatherings.

Or search by topic

Age 11 to 14

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

If you were one of ten people at a party, how many times would you shake hands?

How many times would everyone else shake hands?

How could you use this to work out the total number of handshakes?

Check your method makes sense by trying some examples of small gatherings.