### 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.

### Sending Cards

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

# 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 $450 \times 1099 = 494550$.