Maths Olympiad Prep

Track / Stage 4 / 204 of 340 #464 of 1964

Problem 464

AMC 12 late, AIME early
Combinatorics Difficulty 4.9 Find the answer

Arrange the consecutive natural numbers 1 to 9 in a 3x3 matrix, so that the sum of the three numbers in each row, each column, and each diagonal is 15.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

3. Fill in as shown in Figure 6.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.