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# Ring of Numbers

Rukmini from Hopscotch Nursery also said:

When the differences are all odd, the sums are all odd.

Rukmini then went on to say:

To make the differences even, you need the numbers 2, 4, 6, 8. Then the sums are also even.

Absolutely right - well done to both Oli and Rukmini. What about the order of the numbers 2, 4, 6 and 8 in the ring? Does it matter? I'll leave you all to ponder on that.

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Age 5 to 7

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Oli from Oakmeeds School began the first part of this question where we had to make odd differences between pairs of numbers.

You need odd, even, odd, even as odd + even make odd. Each pair has an odd and an even.Rukmini from Hopscotch Nursery also said:

When the differences are all odd, the sums are all odd.

Rukmini then went on to say:

To make the differences even, you need the numbers 2, 4, 6, 8. Then the sums are also even.

Absolutely right - well done to both Oli and Rukmini. What about the order of the numbers 2, 4, 6 and 8 in the ring? Does it matter? I'll leave you all to ponder on that.

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?

Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?