Explaining, convincing and proving
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problemEuler meets Schlegel
Age16 to 18Challenge level
Discover how networks can be used to prove Euler's Polyhedron formula.
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problemNetwork trees
Age14 to 18Challenge level
Explore some of the different types of network, and prove a result about network trees. -
articleAn introduction to number theory
An introduction to some beautiful results in Number Theory.
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problemAlways perfect
Age14 to 18Challenge level
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
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problemCommon divisor
Age14 to 18Challenge level
Can you find out what numbers divide these expressions? Can you prove that they are always divisors?
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problemEquivalent pairs
Age5 to 7Challenge level
Can you match pairs of cards which show the same amount?
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interactivityFavouriteInteractive balance
Age5 to 11Challenge level
In this simulation of a balance, you can drag numbers and parts of number sentences on to the trays. Have a play!
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problemTrue or false?
Age7 to 11Challenge level
Without doing lots of calculations, can you decide which of these number sentences are true? How do you know? -
problemSweetie box
Age5 to 11Challenge level
Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?