Can you explain how this card trick works?
Imagine you have six different colours of paint. You paint a cube
using a different colour for each of the six faces. How many
different cubes can be painted using the same set of six colours?
Given a 2 by 2 by 2 skeletal cube with one route `down' the cube.
How many routes are there from A to B?
At a cinema a child's ticket costs £$4.20$ and an adult's ticket costs £$7.70$. When a group of adults and children went to see a film, the total cost was £$C$, where $C$ is a whole number greater than $90$ and less than $96$.
What is the value of $C$?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.View the archive of all weekly problems grouped by curriculum topic