2020 AMC 10 B

Complete problem set with solutions and individual problem pages

Problem 13 Medium

Andy the Ant lives on a coordinate plane and is currently at (-20,20) facing east (that is, in the positive x-direction). Andy moves 1 unit and then turns 90 degrees left. From there, Andy moves 2 units (north) and then turns 90^{\circ} degrees left. He then moves 3 units (west) and again turns 90^{\circ} degrees left. Andy continues his progress, increasing his distance each time by 1 unit and always turning left. What is the location of the point at which Andy makes the 2020th left turn?(2020 AMC 10B, Question #13)

  • A.

    (-1030,-994)

  • B.

    (-1020,-994)

  • C.

    (-1126,-994)

  • D.

    (-1024,-9991)

  • E.

    (-1022,-994)

Answer:B

You can find that every four moves both coordinates decrease by 2 . Therefore, both coordinates need to decrease by two 505 times. You subtract, giving you the answer of (B) (-1030,-990)

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