Explaining, convincing and proving
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problemDigit discovery
Age7 to 11Challenge level
Here is an interesting property about two sets of digits. Can you work out what the digits might be?
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problemA powerful matrix
Age14 to 18Challenge level
What happens when you find the powers of this matrix?
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problemWhat numbers can we make now?
Age11 to 14Challenge level
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
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problemAmicable arrangements
Age16 to 18Challenge level
Three of Santa's elves and their best friends are sitting down to a festive feast. Can you find the probability that each elf sits next to their bestie?
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problemTetra slice
Age16 to 18Challenge level
Can you prove that a quadrilateral drawn inside a tetrahedron is a parallelogram?
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problemMore less is more
Age7 to 14Challenge level
In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.
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pageMathdoku demonstration
This video of Charlie and Liz solving a 6 by 6 Mathdoku may give you ideas for strategies to try. -
problem6 by 6 Mathdokus
Age7 to 16Challenge level
Can you use the clues to complete these 6 by 6 Mathematical Sudokus?