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HKIMO 2026 Grade 3 National Final (Heat) Set 05 Question 1

HKIMO · HKIMO 2026 Grade 3 National Final (Heat) Set 05

Question 1

There are 27 transparent boxes as in Figure 1. Each layer contains 9 boxes as in Figure 2. Black marbles are placed inside; the top, front and right views are shown. How many marbles are there?

Editorial box convention: each small box contains at most one marble, centred in that box. A black dot in a view means at least one marble lies on that line of sight; overlapping marbles appear as one dot. The source does not explicitly state the per-box capacity.

Question illustration