### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Tea Cups

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

### Counting on Letters

The letters of the word ABACUS have been arranged in the shape of a triangle. How many different ways can you find to read the word ABACUS from this triangular pattern?

# Cayley

##### Stage: 3 Challenge Level:

Surprisingly enough, the letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?

 C A U C H Y C A U C H Y - - - - - - E U C L I D

The words are the names of three famous mathematicians. What countries did these mathematicians come from, when did they live and what is the main thing that are they famous for? There are many good websites about the history of mathematics where you can find the answers to these questions. For example, Google gives you a large number of links if you search for " history of maths ".