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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?

What Two ...?

Age 7 to 11 Short
Challenge Level

Why do this problem?

This problem is a short challenge that may introduce pupils to the idea of square numbers and square roots. It can also be opened up in all sorts of ways (see the 'Possible extension' section below).

Possible approach

You may want to give learners this challenge as you are taking the register, for example, as it does not need much explanation.

Sharing ways of approaching the solution will be valuable, however, as children are likely to have done different things. Some might have used trial and improvement, some may have used a calculator to find the square root.

Key questions

Perhaps you could try two consecutive numbers and see how close you are?
Do you have sense of how big the numbers will be?

Possible extension

This problem can be extended in all sorts of ways by asking 'what if ...?' questions. This sheet gives you some suggestions.

Possible support

A calculator is likely to be useful.