Weekly Problem 22 - 2013

How many of the numbers shown are greater than 10?

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 22 - 2009

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

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 42 - 2007

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

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 13 - 2011

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

Weekly Problem 36 - 2006

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

Weekly Problem 46 - 2014

Which of these powers of fractions has greatest value?

Weekly Problem 10 - 2007

The square of a number is 12 more than the number itself. The cube of the number is 9 times the number. What is the number?

Weekly Problem 47 - 2014

Which digit replaces x in this crossnumber?

Weekly Problem 6 - 2011

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

Weekly Problem 52 - 2007

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

Weekly Problem 32 - 2006

How many zeros are there at the end of $3^4 \times 4^5 \times 5^6$?

Weekly Problem 12 - 2011

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

Weekly Problem 6 - 2008

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

Weekly Problem 38 - 2014

Can you work out the product of these indices?

Weekly Problem 15 - 2016

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