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Australian AMC 2022 - Middle Primary Question 23

AMC AUSTRALIA · Australian AMC 2022 - Middle Primary

Question 23

A different whole number is placed in each corner of a square. Two numbers joined by an edge must have a difference of more than 1. When the four numbers are added together, what is the smallest possible total?

Editorial note: the printed wording says “whole number”, but the official choices and solution assume positive whole numbers (1,2,3,...). Use that intended interpretation for the A–E answer. If 0 is allowed, the minimum is 8, which is not listed.

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