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Sticky Fingers
Ruth wants to puts stickers on the cuboid she has made from little cubes. Will she have any stickers left over?
Leftovers
Weekly Problem 26 - 2008
If $n$ is a positive integer, how many different values for the remainder are obtained when $n^2$ is divided by $n+4$?
Three Primes
Weekly Problem 6 - 2010
Can you find three primes such that their product is exactly five times their sum? Do you think you have found all possibilities?
Smashing Time
Weekly Problem 58 - 2012
Once granny has smashed some of her cups and saucers, how many cups are now without saucers?
Magical Products
Can you place the nine cards onto a 3×3 grid such that every row, column and diagonal has a product of 1?
Pride of Place
Two fractions have been placed on a number line. Where should another fraction be placed?
Mean Sequence
Weekly Problem 38 - 2009
This sequence is given by the mean of the previous two terms. What is the fifth term in the sequence?
Three Blind Mice
Each of the three blind mice in turn ate a third of what remained of a piece of cheese. What fraction of the cheese did they eat in total?
A Drink of Water
Weekly Problem 43 - 2015
Rachel and Ross share a bottle of water. Can you work out how much water Rachel drinks?