How many 10-digit numbers containing only 1s, 2s and 3s can you write?
What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?
Weekly Problem 4 - 2017
Tommy's tankard holds 480ml when it is one quarter empty. How much does it hold when it is one quarter full?
Tina has chosen a number and has noticed something about its factors. What number could she have chosen? Are there multiple possibilities?
Lauren and Thomas tell their ages in terms of sums of squares. Can you work out how old they really are?
Weekly Problem 17 - 2010
The value of the factorial $n!$ is written in a different way. Can you work what $n$ must be?
I made a list of every number that is the units digit of at least one prime number. How many digits appear in the list?
In how many ways can seven of the numbers 1-9 be chosen such that they add up to a multiple of 3?
A whole number less than 100 gives remainders of 2, 3 and 4 when divided by 3, 4 and 5. What is the remainder when it is divided by 7?
