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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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Adding All Nine

Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

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For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?

Find from Factors

Stage: 3 Short Challenge Level: Challenge Level:1

A certain number has exactly eight factors including $1$ and itself. Two of its factors are $21$ and $35$. What is the number?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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