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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 Paints

Age 11 to 14 Challenge Level:

Experiment with different combinations of paints A and B (and paints C and D).

The ratio $1:4 = 2:8 = 3:12 = 4:16$ ...

The ratio $1:5 = 2:10 = 3:15 = 4:20$ ...

B is whiter than A (and D is whiter than C), so what will be special about the combinations that achieve the paler shades of pink?