### Pair Sums

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

### Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

### Big Powers

Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.

# Creating Squares - Game

##### Stage: 3 and 4

This resource is part of "Dotty Grids - Drawing Polygons"

In this game, two players take it in turns to click on a dot on the grid.
The winner is the first to have four vertices of a square in their colour.

Play a few games against the computer or a friend.

This text is usually replaced by the Flash movie.

Can you develop any winning strategies?
Can you suggest any mathematically interesting variations on the game?

Want to share what you've done? Got any interesting questions or ideas?
Send us your thoughts.