UEE Mathematics case studies
UEE Mathematics · Put your knowledge to work in context.
UEE Mathematics is the mathematics component of a unified entrance examination used by some institutions for admission to undergraduate programmes. It is intended for secondary-school graduates and other candidates who need a mathematics score for university entry. The exam assesses six areas: Numbers and Algebra (20%), Functions and Graphs (20%), Geometry and Measurement (20%), Trigonometry (10%), Probability and Statistics (15%), and Calculus and Analysis (15%). Both multiple-choice and constructed-response questions are used, so you must be able to produce clear, justified solutions as well as select correct options. Topics on this exam: Numbers and Algebra, Functions and Graphs, Geometry and Measurement, Trigonometry, Probability and Statistics, and Calculus and Analysis. The UEE Mathematics case studies are 5 cases and about 2,344 words.
1Ride-Hailing Tariffs with a Long-Distance Surcharge
Lina commutes between home and a study centre, a one-way distance of x km, where 0 < x ≤ 20. Two ride-hailing apps quote different tariffs.
582 words, about 3 min2Resurfacing a Stadium-Shaped Running Track
A club is resurfacing a stadium-shaped running track. The inner boundary is formed by a rectangle of length 40 m with a semicircle of radius 18 m attached at each end.
396 words, about 2 min3Drone Recovery with an Ambiguous Bearing
A survey drone starts at station A. A radio tower T is 6.0 km from A on a bearing of 075°.
470 words, about 2 min4Rapid Test, Base Rate, and a Batch Decision
A factory produces electronic components in very large batches. Historical data show that 2% of components are defective.
455 words, about 2 min5Open-Top Box Optimisation with Machine Increments
A packaging workshop makes open-top boxes from rectangular sheets of card measuring 24 cm by 18 cm. From each corner a square of side x cm is cut out, and the remaining flaps are folded up.
441 words, about 2 min