### 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?

##### Age 11 to 16 Short Challenge Level:

The Queen of Spades always lies for the whole day or tells the truth for the whole day. Which of these statements can she never say?

A: "Yesterday, I told the truth";
B: "Yesterday, I lied";
C: "Today, I tell the truth";
D: "Today, I lie";
E: "Tomorrow, I shall tell the truth".

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.
You can find more short problems, arranged by curriculum topic, in our short problems collection.