article
Magic Squares
An account of some magic squares and their properties and and how to construct them for yourself.
Conjecturing and generalising
article
Why 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.
article
Sum 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.
problem
Producing an Integer
Age
14 to 16
Challenge level
Multiply a sequence of n terms together. Can you work out when this product is equal to an integer?
problem
Tumbling Down
Age
7 to 11
Challenge level
Watch this animation. What do you see? Can you explain why this happens?
problem
Next-door Numbers
Age
5 to 7
Challenge level
Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
problem
Number Lines in Disguise
Age
7 to 14
Challenge level
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
problem
Satisfying Four Statements
Age
7 to 11
Challenge level
Can you find any two-digit numbers that satisfy all of these statements?
problem
Roman Numerals
Age
7 to 11
Challenge level
Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?
problem
Always, Sometimes or Never? Shape
Age
7 to 11
Challenge level
Are these statements always true, sometimes true or never true?