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King's Maths School

Weekly Maths Challenge

Do you like maths? Are you a problem solver? Each week during term time King's Maths School publishes a mathematical challenge designed to intrigue students aged 13-16 who are interested in mathematics.

If you are eager to read, watch, listen to or do some more maths, check out our Weekly Maths Challenge Plus page.

Challenge 412: The nine point circle

A beautiful geometric result to prove this week!

Solution revealed: 03 Jan 2025

Challenge 411: Party Plates

Thanks to Phil Z for supplying the problem this is based on!

Solution revealed: 27 Dec 2024

Challenge 410: In what circle?

Two expressions for a radius lead to a neat proof of a familiar result!

Solution has been revealed

Challenge 409: A property of powers

Can you prove my conjecture?

Solution has been revealed

Challenge 408: Tournament Tangle

Two problems relating to a tournament - thanks to Ryan K for the first!

Solution has been revealed

Challenge 407: A Mean Problem

Can you make the averages line up?

Solution has been revealed

Challenge 406: A Book Costs...

Unravel an unreasonable number of brackets in this week's challenge!

Solution has been revealed

Challenge 405: What's My Number?

Challenge your deductive skills with this logic game!

Solution has been revealed

Challenge 404: The Leaky Boat

Stay afloat with this problem from KCLMS student Phil Z!

Solution has been revealed

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