1310.41 – Dartboard with a Black Hole

Tags:Problem Set 1Pre-AlgebraArithmetic: Z

You are playing darts with an unusual dartboard (see the figure). The goal is to throw exactly seven darts and score exactly one hundred points. Assume that you are the world’s greatest darts player and can hit any spot on the dartboard you want. How do you win?


One solution is to place your darts as follows: 31, 25, 25, 17, 7, 7, -12. Can you come up with another solution?