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.
Baker, Cooper, Jones and Smith are four people whose occupations
are teacher, welder, mechanic and programmer, but not necessarily
in that order.
Baker and Cooper are neighbours and take turns driving each
other to work.
Cooper earns more money than Jones.
Baker regularly beats Smith at darts.
The teacher always walks to work.
The programmer does not live near the welder.
The mechanic and programmer have only met once.
The programmer earns more money than the welder or the
What is each person's occupation?