article
Fractional calculus III
Fractional calculus is a generalisation of ordinary calculus where you can differentiate n times when n is not a whole number.
Conjecturing and generalising
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articleFractional calculus II
Here explore some ideas of how the definitions and methods of calculus change if you integrate or differentiate n times when n is not a whole number.
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articleFractional calculus I
You can differentiate and integrate n times but what if n is not a whole number? This generalisation of calculus was introduced and discussed on askNRICH by some school students.
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articleMagic squares
An account of some magic squares and their properties and and how to construct them for yourself. -
articleWhy stop at three by one
Beautiful mathematics. Two 18 year old students gave eight different proofs of one result then generalised it from the 3 by 1 case to the n by 1 case and proved the general result. -
articleSum the series
This article by Alex Goodwin, age 18 of Madras College, St Andrews describes how to find the sum of 1 + 22 + 333 + 4444 + ... to n terms. -
gameFavouriteDicey operations in line
Age7 to 11Challenge level
In these addition, subtraction, multiplication and division games, you'll need to think strategically to get closest to the target.
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gameFavouriteDicey operations
Age7 to 14Challenge level
In these addition and subtraction games, you'll need to think strategically to get closest to the target.
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gameFavouriteThe remainders game
Age7 to 14Challenge level
Play this game and see if you can figure out the computer's chosen number.