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IMAS 2015 — Middle Primary Grades 3–4 — Round 2 Question 3

IMAS · IMAS 2015 — Middle Primary Grades 3–4 — Round 2

Question 3

The diagram shows the playing board of a game where we start on square 1. We move forward 2 squares and backwards 1 square. Then we move forward 3 squares and backwards 2 squares, and so on. Each time, we move forward one square more than the last time, and the backward move is one square shorter than the forward move. Moving from one square to the next, in either direction, is called a step. How many steps does it take to reach square 11 for the first time?

Question illustration
  1. 30
  2. 32
  3. 34
  4. 36
  5. 38