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Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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In the UK, the lottery consists of picking 6 numbers between 1 and 49.

"Any player to match all 6 numbers is the grand prize winner. As we all know, there's lots of free advice on how to win the lottery, usually given out by someone who, strangely, seems more willing to sell the information to you instead of using it themselves." Odd, that.

Anyway, here's some advice you just bought for a small fee:


Roughly equal numbers of odd and even are drawn most weeks, so you should pick a good mixture of odds and evens.

Never choose six numbers all from the same group - for example, all single digits, all multiples of five, all with the same last digit ...

Always pick some higher numbers from the 30s and 40s.




What do you think? Advice worth paying for?


.: [PROBABILTY], [internet], [WCYDWT].

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Rates, anyone?



.: [MS Math], [internet], [WCYDWT].

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A rule from geometry says that three points determine a circle. 

Make a triangle with the three points. The perpendicular bisectors of the three sides will meet at the center of the circle. (Of course, you'll only need two but the third is confirmation.)

The points are \( A(20,–18) \); \( B(8,18) \); \( C(–16,–6) \)

Graph paper, pencil and straightedge only.


.: [GEOM], [T.R.Milne], [WCYDWT].

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I measured the circumference of the bowling ball:





Discuss buoyancy.
It weighs 12 lbs.
Will it float if I toss it in my swimming pool?

Have I given you enough information? YES!


.: [SCIENCE], [T.R.Milne], [WCYDWT].
that's it.