Maths Olympiad Prep

Track / Stage 4 / 192 of 340 #452 of 1964

Problem 452

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

3. 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. Spacing and $ signs are ignored.

Official solution

3. Fill in as shown in Figure 6.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.