Problem
2025 Fermat Problem 7
In the diagram, the target shown has three scoring areas. An arrow that hits the centre circle is worth 10 points, an arrow that hits the shaded middle ring is worth 5 points, and an arrow that hits the outer ring is worth 1 point. Three arrows are shot and each hits the target. Which of the following *cannot* be the total score for the three arrows?
\textbf{(A)}\ 16\quad \textbf{(B)}\ 11\quad \textbf{(C)}\ 13\quad \textbf{(D)}\ 7\quad \textbf{(E)}\ 20
If there are no answer choices shown, enter a numerical answer.
Full credit to this problem is given to the CEMC, you may view all Fermat contests here.
Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)
Problem feedback
Difficulty
—