Weekly Problem 47 - 2009

The English mathematician Augustus de Morgan has given his age in algebraic terms. Can you work out when he was born?

Weekly Problem 36 - 2016

What percentage of the integers between 1 and 10,000 are square numbers?

Weekly Problem 34 - 2011

Lauren and Thomas tell their ages in terms of sums of squares. Can you work out how old they really are?

Weekly Problem 42 - 2007

How many triangles have all three angles perfect squares (in degrees)?

Weekly Problem 47 - 2014

Which digit replaces x in this crossnumber?

Weekly Problem 22 - 2009

How much money did the Queen give away in pence as a power of 2?

Powers of numbers might look large, but which of these is the largest...

Weekly Problem 13 - 2011

The sum of three square numbers equals $121$. What can those numbers be...

Weekly Problem 52 - 2007

Can you work out the value of x in this 'power-full' equation?

Weekly Problem 22 - 2013

How many of the numbers shown are greater than 10?

Weekly Problem 38 - 2016

To what power should $4^4$ be raised to give $8^8$?

Weekly Problem 36 - 2006

Which of these five algebraic expressions is largest, given $x$ is between 0 and 1?

Weekly Problem 45 - 2017

What is the last non-zero digit of $2^{57} \times 3^4 \times 5^{53}$?

Given these equations with unknown powers $x$ and $y$, can you work out $xy$?

Weekly Problem 15 - 2016

How many integers $n$, between $1$ and $100$ inclusive, have the property that $n^n$ is a square number?

Weekly Problem 38 - 2014

Can you work out the product of these indices?