### Snookered

In a snooker game the brown ball was on the lip of the pocket but it could not be hit directly as the black ball was in the way. How could it be potted by playing the white ball off a cushion?

### Peeling the Apple or the Cone That Lost Its Head

How much peel does an apple have?

### There's Always One Isn't There

Take any pair of numbers, say 9 and 14. Take the larger number, fourteen, and count up in 14s. Then divide each of those values by the 9, and look at the remainders.

# Robot Camera

### Why do this problem ?

Nanotechnology is an important area of research for new products.  This problem uses a medical context for students to think about estimation and orders of magnitude.  These are crucial mathematical skills in the sciences.  This problem could be tackled by individual students or it could be tackled jointly by a whole class.

### Possible approach

The first two questions will help students in working with very small numbers, including finding out what the units mean.  The class could then discuss whether they think it is possible in principle to make a camera suitable for injecting into an artery, before embarking on any calculations.

### Key questions

Do you have all the information you need?  If not, where can you find out what you need?
What formulae will you need to use?