### Tea Cups

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

### Teddy Town

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

### Painting Cubes

Imagine you have six different colours of paint. You paint a cube using a different colour for each of the six faces. How many different cubes can be painted using the same set of six colours?

# Coins

##### Stage: 3 Challenge Level:

A man has 5 coins in his pocket.

• He can make 13 different amounts of money with his coins
• The amounts of money he can make end with one of two possible digits.
• He cannot make up exactly 70 pence
• He cannot afford an item costing 1 pound
• He can make a prime number bigger than 10 with his coins.

Given these clues, can you work out what the coins are?
Is there only one possible combination of coins?

### Extension:

Remove one of the clues. Are there any new possibilities for the values of the 5 coins?
Replace that clue and remove a different one, work out the new possibilities. Repeat for the other clues.

Can you remove a clue and only end up with your original solution(s)?

Which clues have the biggest impact?