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Number Balance

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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This is a number balance.

number balance
It is also called a 'balance bar' or an 'equaliser'. It has weights:
These are hung below the numbers. It balances equal numbers, for example like this:
balancing 10 on one side with 2 and 8 on the other
Where would you need to hang the weight to make the one below balance?
What about this one?
If you had to use two weights and make the one below balance, where could you put them?
9 and 6 on one side, 10 and 4 on the other
How many different ways can you make it balance with two weights?
You may like to use the interactivity above to explore the problem.