Can you arrange these numbers into 7 subsets, each of three
numbers, so that when the numbers in each are added together, they
make seven consecutive numbers?
Can you find the values at the vertices when you know the values on
Can you find all the 4-ball shuffles?
Can you find a relationship between the number of dots on the
circle and the number of steps that will ensure that all points are
It is possible to identify a particular card out of a pack of 15
with the use of some mathematical reasoning. What is this reasoning
and can it be applied to other numbers of cards?
Discover a handy way to describe reorderings and solve our anagram
in the process.
Yanqing from Devonport High School for Girls sent us a very clear
explanation of her solution to this problem.
Go to last month's problems to see more solutions.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
An environment for exploring the properties of small groups.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?