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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Coloured Squares

## You may also like

### Homes

### Stairs

### Train Carriages

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 5 to 7

Challenge Level

Use these clues to colour each shape:

- Blue is between green and red
- Orange is below green
- Yellow is to the left of both purple and orange

You may like to use this interactivity:

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?

This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?