In the above, 9 and 15 were the only numbers that I could find that could be written in more than one way.

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Many people spotted the pattern that all odd numbers except 1 could be written as the sum of two consecutive numbers. Well done to pupils from Kenmont Primary School who noticed this, and explained that an Odd plus an Even is always Odd.

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Some spotted a similar pattern for multiples of 3. They were all even numbers that had an odd number as half of its total. There's a way to make this pattern work even without using negative numbers - can you spot it?

Why are all these patterns arising? Becky spotted a different type of pattern: We found out that powers of 2 2, 4, 8, I wonder why?

## How we found out there are three trillion trees on Earth

Then we discovered that the multiples of 5 can be written as 5 consecutive numbers. It's the same as the rule for 3 consecutive numbers. We then made a conjecture that since it is true for 3 and 5, it would also work for 7, 9 and any other odd number. We tested it, and it worked. Arthur asked: Are there any other patterns?

## Find a lost National Insurance number

Can we explore the powers of two further? Magnus asked: Is the rule that the powers of two can never be made always true?

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Great questions! There are now fourteen numbers and so we don't have just one middle number, we have a pair of middle numbers :.

Note that 22 was not in the list of numbers That means that the 33rd and 34th numbers in the sorted list are the two middle numbers. Hide Ads About Ads. How to Find the Median Value It's the middle of a sorted list of numbers.

Example: find the Median of 12, 3 and 5 Put them in order: 3, 5, 12 The middle is 5 , so the median is 5. It doesn't matter that some numbers are the same in the list.