A farmer is supplying a mix of seeds, nuts and dried apricots to a
manufacturer of crunchy cereal bars. What combination of
ingredients costing £5 per kg could he supply?
A decorator can buy pink paint from two manufacturers. What is the
least number he would need of each type in order to produce
different shades of pink.
Is it always possible to combine two paints made up in the ratios
1:x and 1:y and turn them into paint made up in the ratio a:b ? Can
you find an efficent way of doing this?
There are two sets of numbers. The second is the result of the
first after an increase by a constant percentage. How can you find
that percentage if one set of numbers is in code?
What's the most efficient proportion for a 1 litre tin of paint?
What angle is needed for a ball to do a circuit of the billiard
table and then pass through its original position?
Jake sent in a very full solution to the Balancing 3 problem. He identifies a very useful measure to solve this problem.
Go to last month's problems to see more solutions.
This article for teachers describes several games, found on the
site, all of which have a related structure that can be used to
develop the skills of strategic planning.
A Sudoku with a twist.
Match pairs of cards so that they have equivalent ratios.