### Card Trick 2

Can you explain how this card trick works?

### Painting Cubes

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?

### Cube Paths

Given a 2 by 2 by 2 skeletal cube with one route `down' the cube. How many routes are there from A to B?

# Tinker, Tailor

##### Stage: 3 Short Challenge Level:

Tailor.

Bilbo and Frodo are essentially counting 1 through 8 and then going round again (with Tinker = 1, Tailor = 2, etc.). So if Bilbo finished on Sailor = 4 and Frodo finished on Poor Man = 6, then together they would reach $4+6=10$. But 10 is 2 after 8, and 2 = Tailor.

This problem is taken from the UKMT Mathematical Challenges.
View the archive of all weekly problems grouped by curriculum topic

View the previous week's solution
View the current weekly problem