UNSA ETF Math Entrance Exam case studies
UNSA ETF Math Entrance Exam · Put your knowledge to work in context.
The UNSA ETF Mathematics Entrance Examination is the subject-specific admission assessment used by the Faculty of Electrical Engineering (Escuela Técnica / Facultad de Ingeniería Eléctrica) at the Universidad Nacional de San Agustín de Arequipa for applicants seeking a place in its engineering programmes. It is intended for secondary-school graduates and transfer candidates who need to demonstrate mathematical readiness before beginning university-level coursework in circuits, signals, control and computing. The paper is multiple choice and is built around the mathematical core that first-year engineering study assumes: careful arithmetic and number sense, algebraic manipulation, the reading of functions and their graphs, plane and space geometry with trigonometry, sequences, series and limits, elementary counting and probability, complex numbers, and analytic geometry with vectors. Because the weighting is spread across these areas rather than concentrated in calculus, candidates who drill only advanced topics tend to lose marks on the more elementary sections. The UNSA ETF Math Entrance Exam case studies are 5 cases and about 2,969 words.
1Ticket pricing with a rounding trap
A small cinema sells two ticket classes. Adult tickets cost 9.50 euros and student tickets cost 6.25 euros.
635 words, about 3 min2Break-even with a piecewise cost
A student society prints T-shirts to fund an event. The printer charges a fixed setup fee of 180 euros plus 4.20 euros per shirt for the first 100 shirts.
560 words, about 3 min3Reading a parabola from limited data
A ball is launched from a rooftop and its height in metres after t seconds is modelled by h(t) = at^2 + bt + c. Sensors record h(0) = 12, h(2) = 21, and h(5) = 12.
571 words, about 3 min4Overlapping selection with a constraint
A department forms a five-person student committee from 9 second-year and 7 third-year students. Rules: at least 2 third-years must serve, and the committee cannot be all from one year.
746 words, about 4 min5Vectors, projections, and a suspect angle
In the plane, points A(1, 2), B(5, 4), and C(3, 7) are given. A student computes the angle at B using vectors BA and BC, obtains about 53 degrees, and then claims the triangle is acute.
457 words, about 2 min