Weekly Problem 48 - 2011
Do these powers look odd...
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?