BCS Written Mathematics case studies
BCS Written Mathematics · Put your knowledge to work in context.
The BCS Written Mathematics paper is the written arithmetic and problem-solving component of the Bangladesh Civil Service (BCS) examination, taken by candidates competing for cadre posts in the Bangladesh government. It is intended for graduates who can work accurately under time pressure and show clean, step-by-step solutions rather than lucky final answers. The syllabus is broad but school-level in depth: arithmetic, algebra, geometry, trigonometry, calculus, statistics and probability, and matrices and determinants. Most marks are lost through untidy working, skipped steps, and weak time allocation, not through genuinely unknown theory. The BCS Written Mathematics case studies are 5 cases and about 2,381 words.
1The Overlapping Membership Ledger
A district sports council has 240 registered members. Each member must hold at least one of three passes: Swimming (S), Athletics (A), or Rowing (R).
483 words, about 2 min2The Break-Even Decision at the Print Workshop
A small print workshop is choosing between two pricing plans for a bulk job of booklets. Plan A charges a fixed setup fee of 1,200 taka plus 18 taka per booklet.
519 words, about 3 min3Fencing a Plot Against a Wall
A farmer has 60 metres of fencing and wants to enclose a rectangular vegetable plot using an existing straight stone wall as one full side of the rectangle, so fencing is needed on only three sides. She wants the plot to have the largest possible area.
499 words, about 2 min4Surveying a Field Corner Without a Right Angle
A land surveyor is measuring a triangular field corner. From a fixed peg P, she measures two boundary lines: PQ = 85.0 m and PR = 64.0 m, with the included angle at P recorded as 118°.
414 words, about 2 min5Quality Control on a Production Line
A factory produces circuit boards in batches. Historical records show that 4% of boards are defective, independently of one another.
466 words, about 2 min