### 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.

### Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

# It's Times Again

##### Age 7 to 14Challenge Level

On the table in front of you is a grid like this:-

Now imagine that you have another grid, just the same but made of plastic that you can see through.

Each of the letters stands for a different number. As in a usual grid the numbers go up from the top left right through to the bottom right. BUT, the numbers might not be consecutive, so the first line could be

or something like that with numbers getting bigger but not necessarily in equal steps.

Now imagine that you have the same grid, but made of plastic that you can see through. (Letters representing the same numbers). You place the plastic one over the one on the table so that it covers it completely. You could have flipped it over and/or turned it around as you put the plastic one down. Sometime in the future the numbers that are paired, one above the other are multiplied together. Then, all the results of multiplying together will be added together.

Your challenge is to say which way of flipping over and/or turning the plastic grid will give you the highest and which way will give the lowest totals.