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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.

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?

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?

Practice Run

Age 7 to 11
Challenge Level

Chandrika was practising a long distance run she was going to do next week.

In the first 10 minutes she ran well over 2 kilometres.
In the second 10 minutes she jogged just half that distance.
In the third 10 minutes she walked just half as far.
In the fourth 10 minutes she dawdled only half of that and so on.

Well, in theory at least, she would never have quite reached the end, but it happened that right at the end of a 10 minute stretch, exactly one metre from the finishing post, Chandrika tripped and fell forward over the line.

How long was the race to be and how long did Chandrika take doing it?