PAU Mathematics II (Galicia) case studies
PAU Mathematics II (Galicia) · Put your knowledge to work in context.
The PAU Mathematics II examination (ABAU in Galicia) is the subject-specific university access test taken by students from the Science and Technology baccalaureate track who want Mathematics to count toward their admission score for engineering, mathematics, physics, computer science, health sciences and similar degrees. It is a written, constructed-response paper: you solve open problems and show your reasoning, rather than picking answers from a list. The PAU Mathematics II (Galicia) case studies are 5 cases and about 2,044 words.
1Production plan with a supplier-dependent oil coefficient
Alimentación Rías is a small cooperative in Galicia that prepares three weekly meal batches: A, B and C. Each batch of A uses 1 hour of kitchen time, 2 kg of potatoes and 1 litre of oil; each B uses 1 hour, 1 kg and 2 litres; each C uses 1 hour, 0 kg and t litres, where t is set by a new oil supplier.
499 words, about 2 min2Drone path, radar distance and protected plane
A rescue drone flies along the straight line L given by (x,y,z) = (1,2,3) + λ(2,-1,1), with distances in kilometres and λ a real parameter. A radar station is at P(4,0,1).
406 words, about 2 min3Rotating a parabolic cake mould
A pastry shop in Santiago is designing a new cake mould. The interior cross-section, in decimetres, is the region bounded by y=x^2 and y=2x for 0 ≤ x ≤ 2.
350 words, about 2 min4Sampling faulty bottles under a penalty contract
A craft brewery in Lugo prepares 12 special bottles for a restaurant. Unknown to the brewer, exactly 3 of the 12 bottles have faulty caps and will spoil.
374 words, about 2 min5One-sided underfill test and its two-sided interpretation
A Galician bottled-water company labels its bottles as containing 1,500 ml. A consumer association takes a random sample of 36 bottles and finds a sample mean of 1,497.2 ml with a sample standard deviation of 8.5 ml.
415 words, about 2 min