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2026 AMC 8 Question 12

AMC8 · 2026 AMC 8

Question 12

In the figure below, each circle will be filled with a digit from $1$ to $6.$ Each digit must appear exactly once. The sum of the digits in neighboring circles is shown in the box between them. What digit must be placed in the top circle?

Question illustration
  1. $2$
  2. $3$
  3. $4$
  4. $5$
  5. it is impossible to fill the circles