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Weighing Scales

Age 14 to 16 Short Challenge Level:

 


Two pyramids and a sphere on one side of a pair of scales will just balance a cube on the other side.

scales



A sphere and a cube together will just balance three pyramids.




How many spheres will just balance a single pyramid?

 

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.
You can find more short problems, arranged by curriculum topic, in our short problems collection.