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IMAS 2016 — Middle Primary Grades 3–4 — Round 2 Question 9

IMAS · IMAS 2016 — Middle Primary Grades 3–4 — Round 2

Question 9

Refer to the diagram below, where 9 black bricks and 4 white bricks are arranged alternately such that it will form a figure in which there are 5 bricks on its diagonals, and all the outer bricks are black.

Question illustration

Using the similar pattern stated above, if we want to form figures in which there are 7 bricks on its diagonals, how many black bricks are required?