Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Coordinate Cunning

## You may also like

### The Lily Pond

### A Cartesian Puzzle

### Transformation Tease

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

Age 7 to 11

Challenge Level

- Game

This is a game for two players.

**You will need:**

A blue pencil and a red pencil.

A sheet of dotted paper.

**The aim:**

To get four dots of your colour in a line.

**To play:**

Together, decide where to place the origin (0,0). It can be on any of the points on the board.

Next, choose who will be blue and who will be red.

Blue goes first and chooses a point. Blue has to write down the coordinates of the point in relation to the origin. If they get the coordinates of the point wrong, they don't get that point.

What are the coordinates of the point that Blue has chosen here?

Then Red chooses a point and gives its coordinates.

Keep playing until one person has **four** dots in line of their colour!

Freddie Frog visits as many of the leaves as he can on the way to see Sammy Snail but only visits each lily leaf once. Which is the best way for him to go?

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?