### 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?

# Dicey Directions

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

The table shows the number of the face in contact with the table at the various stages described, and also the numbers on the three faces of the die that are visible from the viewpoint in the question.

 Start 1st move 2nd move 3rd move 4th move In contact with the table 5 1 2 3 5 Facing South 3 3 3 5 4 Facing East 1 2 6 6 6 Facing Up 2 6 5 4 2

As the '6' face is now facing East, the '1' face will be facing West.

This problem is taken from the UKMT Mathematical Challenges.