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# Logically Speaking

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Maxi Pyramid

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River Crossing

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Isosceles Seven

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Iffy Logic

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The Tour De Clochemerle

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Iff

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Mind Your Ps and Qs

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In this feature students are invited to explore a variety of problems and are then challenged to construct convincing arguments to explain what they have discovered. They offer an opportunity for rich mathematical discussion in the classroom.

The last day for students to send in solutions to the live problems is Monday 16 May.

Plus magazine has a selection of interesting articles looking at logic, the basics of mathematical logic, its role in computer science and the philosophy of maths, and on how it's being used in applications.

*You can watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these activities.*

Age 11 to 16

Challenge Level

What is the largest number you can obtain at the top of this pyramid?

Age 11 to 18

Challenge Level

There is nothing half so much worth doing as simply messing about in boats...

Age 14 to 16

Challenge Level

Is it possible to find the angles in this rather special isosceles triangle?

Age 14 to 18

Challenge Level

Can you rearrange the cards to make a series of correct mathematical statements?

Age 14 to 18

Challenge Level

Can you work out where these 5 riders came in a not-quite-so-famous bike race?

Age 14 to 18

Challenge Level

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

Age 16 to 18

Challenge Level

Sort these mathematical propositions into a series of 8 correct statements.