### How Big?

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?

### Do Unto Caesar

At the beginning of the night three poker players; Alan, Bernie and Craig had money in the ratios 7 : 6 : 5. At the end of the night the ratio was 6 : 5 : 4. One of them won \$1 200. What were the assets of the players at the beginning of the evening?

### Oh for the Mathematics of Yesteryear

A garrison of 600 men has just enough bread ... but, with the news that the enemy was planning an attack... How many ounces of bread a day must each man in the garrison be allowed, to hold out 45 days against the siege of the enemy?

# Mixing More Paints

##### Stage: 3 Challenge Level:

This problem follows on from Mixing Paints .

It may be useful to provide students with red and white counters so that they can simulate the effect of mixing the paints.

A possible start to using this problem in a classroom could involve asking students to suggest possible combinations of paints A and B (or C and D) and their suggestions could be written up for all to see.