Cabinet Maths: Rectangular Sheet Layout with Kerf and Trim

Cabinet Maths: Rectangular Sheet Layout with Kerf and Trim

Original quantitative topic practice in English. All 24 questions are included in a shuffled order. Each question supplies its own data and model assumptions; use only those assumptions. Choose one answer. Practice target: 20/24, not an official examination pass mark. Keep full intermediate precision. These exercises cover the calculation scope in the title; they do not constitute a full Red Seal examination, trade qualification, site design or operating specification.
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A sheet is 2440×1220 mm. Trim 10 mm off EACH edge. Cut identical 380×260 mm rectangles in a uniform grid. Kerf is 3 mm BETWEEN adjacent pieces only, with no extra kerf at the usable boundary. Compare two uniform orientations; mixed nesting is outside scope. Calculate the total pieces in the unrotated grid. Keep intermediate values unrounded; round the final answer to 4 decimal places if needed.