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IKMC 2027 - Grades 5-6 - Self-study SET 11 - Thematic Batch 3 Question 20

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 11 - Thematic Batch 3

Question 20

Bin says that drawing three squares may create additional shapes where they overlap, as in the example. When three identical squares are drawn, what is the greatest total number of squares of possibly different sizes that can appear?

Question illustration

Original source choices (retained):

A. 3

B. 5

C. 7

D. 9

E. 11

Original maximum unresolved. Separately scored editorial exercise: verify the supplied eight-square counterexample to the source’s claim of seven. Do not claim that eight is the true maximum without an upper-bound proof.