Factors and multiples

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

The clues for this Sudoku are the product of the numbers in adjacent squares.

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?