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Are You Well Balanced?

Age 5 to 7
Challenge Level Yellow star
Primary curriculum
  • Problem
  • Getting Started
  • Student Solutions
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You might like to have a look at the activity Number Balance before trying this problem.

Here is an interactive number balance:

You can hang weights on the hooks. All the weights are exactly the same and you can hang more than one weight from each hook.
 
Take some time to have a play with the balance.
 
I hang one weight on the 10. I want to use just one hook on the other side to make it balance.
Where could I put weights and how many would I need to put on?
Is there only one solution?
How might you record your solutions so you don't forget them?
 
Now I hang two weights on one of the 10 hooks.
Using only the 2 hook, how could I add weights on the other side to make it balance?
Using only the 5 hook, how could I add weights on the other side to make it balance?
How could I make it balance using both the 2 and the 5 hooks? Is there only one solution?
Can you find all the solutions?
How do you know you have found them all?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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