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Australian AMC 2021 - Upper Primary Question 29

AMC AUSTRALIA · Australian AMC 2021 - Upper Primary

Question 29

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