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?
Find the smallest positive integer N such that N/2 is a perfect cube, N/3 is a perfect fifth power and N/5 is a perfect seventh power.
Find the five distinct digits N, R, I, C and H in the following nomogram
Given any 3 digit number you can use the given digits and name another number which is divisible by 37 (e.g. given 628 you say 628371 is divisible by 37 because you know that 6+3 = 2+7 = 8+1 = 9). The question asks you to explain the trick.
How many zeros are there at the end of $3^4 \times 4^5 \times 5^6$?
Which of these five algebraic expressions is largest, given $x$ is between 0 and 1?
Can you explain what's happening with these numbers?
Which is the biggest and which the smallest of $2000^{2002}, 2001^{2001} \text{and } 2002^{2000}$?
Solving the equation x^3 = 3 is easy but what about solving equations with a 'staircase' of powers?
