Weekly Problem 22 - 2013

How many of the numnbers shown are greater than 10?

From this sum of powers, can you find the sum of the indices?

Weekly Problem 22 - 2009

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

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

Weekly Problem 17 - 2010

The value of the factorial $n!$ is written in a different way. Can you work what $n$ must be?

Weekly Problem 33 - 2010

How many positive integers $n$ exist for which $n^2$ has the same number of digits as $n^3$?

Weekly Problem 6 - 2011

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

Weekly Problem 12 - 2011

How many numbers do you need to remove to avoid making a perfect square?

Weekly Problem 13 - 2011

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

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 38 - 2014

Can you work out the product of these indices?

Weekly Problem 46 - 2014

Which of these powers of fractions has greatest value?

Weekly Problem 47 - 2014

Which digit replaces x in this crossnumber?

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 - 2016

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

Weekly Problem 24 - 2017

What is the last digit of $3^{2011}$?

Weekly Problem 45 - 2017

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

Weekly Problem 47 - 2017

How many numbers do I need in a list to have two squares, two primes and two cubes?