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SASMO 2020 Grade 6 Question 25

SASMO · SASMO 2020 Grade 6

Question 25

Jason randomly placed the digits 1, 2, 3, …, 9 around a circle. Reading three consecutive digits in clockwise order gives a three-digit whole number. There are 9 such three-digit numbers. Find their sum.

Use every digit once and each of the nine starting positions once, including wrap-around groups.

Input: enter the requested whole-number answer without units. Leading zeroes from the paper grid may be omitted.