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IMSO 2011 International Mathematics — Exploration Question 6

IMSO Maths · IMSO 2011 International Mathematics — Exploration

Question 6

The arms of the balance are divided into equal sections. A weight two sections from a pivot has twice the turning effect of an equal weight one section away. In which pan should you put each of the weights shown to balance the whole system? Write the weight in grams in each corresponding pan. The printed weights are 1,2,2,5,7,9,10,11,11,15,20,22.

Question illustration

Question illustration