Choose any three by three square of dates on a calendar page.
Circle any number on the top row, put a line through the other
numbers that are in the same row and column as your circled number.
Repeat this for a number of your choice from the second row. You
should now have just one number left on the bottom row, circle it.
Find the total for the three numbers circled. Compare this total
with the number in the centre of the square. What do you find? Can
you explain why this happens?
After some matches were played, most of the information in the
table containing the results of the games was accidentally deleted.
What was the score in each match played?
Square numbers can be represented on the seven-clock (representing these numbers modulo 7). This works like the days of the week.
A manager of a forestry
company in Scotland has to decide which trees to plant. There are
three main species to choose from, Sitka Spruce, European Larch or
Whatever trees are planted they have to be thinned after 10 and 20
years and the wood from the thinning is sold for a profit.
Each kind of tree has a different planting cost per hectare, a
different growth rate and a different value per hectare depending
on the age the tree is felled. All this information is given in the
What strategy for planting and felling would you recommend to
the manager in order to maximise the profit after 70 years, 90
years, more generally?