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VTMO 2026 - Grade 6 - Final - SET 2 - Self-study Question 6

VTMO · VTMO 2026 - Grade 6 - Final - SET 2 - Self-study

Question 6

Place the numbers in $P=\{1,2,3,4,5,6,7,8,9\}$ into the nine cells of the shown $3\times3$ grid, using each number once. The sum in each row, each column and each of the two diagonals must be divisible by 9. The centre entry is $T$.

(a) Find every possible value of $T$.

(b) For each value, give an example of a completed grid.

Question illustration