### Rule of Three

If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

### Square Pegs

Which is a better fit, a square peg in a round hole or a round peg in a square hole?

### How Big?

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

# 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?