AP Intermediate Mathematics (BIEAP) case studies
AP Intermediate Mathematics (BIEAP) · Put your knowledge to work in context.
The AP Intermediate Mathematics examination is the mathematics component of the Intermediate Public Examination conducted by the Board of Intermediate Education, Andhra Pradesh (BIEAP) for students in the two-year intermediate programme that bridges secondary school and university study in Andhra Pradesh. It matters most to Intermediate second-year candidates who need the subject for their Intermediate certificate and for admission into engineering, science and other degree courses, and to repeaters completing a backlog. The syllabus is broad rather than deep: Algebra, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, Differential Equations, Vectors, Probability and Statistics, and three-dimensional Coordinate Geometry. Expect a written paper built from very short answer, short answer and long answer questions, so you must both recall standard results quickly and write full, structured derivations. The AP Intermediate Mathematics (BIEAP) case studies are 5 cases and about 1,773 words.
1Fencing a Rectangular Community Garden Against a Wall
A village committee has 60 m of fencing to enclose a rectangular community garden. One side of the plot lies along an existing straight wall, so only the other three sides need fencing.
320 words, about 2 min2Ambiguous Triangular Plot for a Nursery
A triangular plot ABC is being surveyed for a small nursery. The surveyor measures AB = 80 m, BC = 50 m, and angle BAC = 30°.
381 words, about 2 min3Clearance Through a Parabolic Road Arch
A road passes through a parabolic arch. The arch is 40 m wide at road level and rises to a maximum height of 12 m at its centre.
342 words, about 2 min4Open Box Production from 24 cm by 18 cm Cardboard
A packaging unit makes open rectangular boxes from rectangular cardboard sheets measuring 24 cm by 18 cm. Equal squares of side x cm are cut from each corner, and the remaining flaps are folded up.
376 words, about 2 min5Defect Source and Batch Acceptance in a Bolt Factory
A factory uses three machines A, B and C to make bolts. Machine A produces 50% of daily output, B 30%, and C 20%.
354 words, about 2 min