Solved IB ACIO Question
A solved IB ACIO PYQ — decoded step-by-step.
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Q · Counting of Figuresmedium · 45s
In the figure consisting of a large square divided into 9 smaller equal squares (3 rows and 3 columns), how many rectangles are there in total?
TopicCounting of Figures
Question Typemultiple choice
Difficultymedium
Marking+1 / −0.25
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
Number of rectangles in a grid = (n(n+1)/2) × (m(m+1)/2), where n = rows, m = columns.
For 3 rows and 3 columns: Total rectangles = (3×4/2) × (3×4/2) = 6 × 6 = 36
Final Answer: Option B — 36