### 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.

### I'm Eight

Find a great variety of ways of asking questions which make 8.

### Dice and Spinner Numbers

If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?

# Sam's Quick Sum

##### Stage: 2 Challenge Level:

Congratulations to Jamie, St Angela's School, Forest Gate, London; Joshua, Amptill, Bedfordshire; Sohail, Predesh, Gurpreet, Jessica and James, Jack Hunt School, Peterborough; Charlotte, Helen, Bella, Charis, Christianne, Peach, Sheila, Cheryl, Pen and Lyndsey, Laura and Emma, The Mount School, York. Here is Jamie's solution:

There are $900$ numbers between $100$ and $999$ so you can halve the number $900$ to see how many pairs you get.
Each pair adds up to $1099$ because if you add $100$ to $999$ the answer is $1099$ and if you add $101$ to $998$, or $102$ to $997$ and so on you get the same answer.
The sum of all the three-digit numbers is $450 \times 1099 = 494550$.