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Australian AMC 2021 - Middle Primary Question 30

AMC AUSTRALIA · Australian AMC 2021 - Middle Primary

Question 30

I want to place the numbers 1 to 10 in this diagram, with one number in each circle. On each of the three sides, the four numbers add to a side total, and the three side totals are all the same. What is the smallest number that this side total could be?

Question illustration