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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

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Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?


Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Spelling Circle

Age 7 to 11
Challenge Level

A word is hidden inside each of the circles below. To find the words, start at the letter in the $12$ o'clock position. Then count around a certain number of spaces to find the second letter of the word, then the same number of spaces to find the third letter and so on. It is up to you to figure out how many spaces you need to move each time.

What are the words? How many spaces did you have to move for each letter?

Was it the same number of moves for the two different words?

Try putting your own $12$ letter words in to the circles below. It may seem easy but you might have some difficulties. 'Difficulties' could be a $12$ letter word you use!

blank circle. blank circle.