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Home » Beware the Sudoku Evil Trick – Fit Numbers Like Never Before! - Coaching Toolbox

Beware the Sudoku Evil Trick – Fit Numbers Like Never Before! - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Now, the sequence of multiples of 11 from 10010 to 99990 is an arithmetic sequence with:

📌 Question: What is the smallest possible number of whole non-overlapping 2-by-3 rectangles needed to exactly cover a 12-by-12 square region?

📌 Solution: First, compute the area of the square:

📌 The number of rectangles required is:

📌 Now, we must verify that such a tiling is possible without overlap and full coverage.

📌 Since the square is 12 units by 12 units, and both 12 and 2, 3 divide 12, we can tile efficiently.

📌 Along the 12-unit side, place rectangles horizontally (2 units vertical, 3 units horizontal):

📌 Number of rectangles per row (horizontal):

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