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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?

Do Unto Caesar

At the beginning of the night three poker players; Alan, Bernie and Craig had money in the ratios 7 : 6 : 5. At the end of the night the ratio was 6 : 5 : 4. One of them won $1 200. What were the assets of the players at the beginning of the evening?

Rule of Three

Age 11 to 14
Challenge Level

Of course, this is a joke problem. It would be impossible for 60,000 men to build a similar wall because most of them could not get near to the wall because of the crowd. It is a warning that written problems do not always make sense in real life.


Laura from West Flegg Middle School in Norfolk made it 5.76 seconds (this assumes the 4 men building the original wall worked a 24 hour day)!


This is as long as it takes to read this solution. Can that be right?