Balearic Islands PAU Mathematics II

Students in the Balearic Islands who need mathematics as a subject in the university entrance process, usually for engineering, architecture, health sciences, economics or science degrees. It is a subject-specific paper within the broader PAU, so your degree's admission requirements decide whether you sit it.

Five blocks: matrices, determinants and linear systems; vectors, lines and planes in space with positions, angles and distances; limits, continuity, derivatives and optimisation; antiderivatives, definite integrals, areas and volumes; and combinatorics, probability, binomial and normal distributions and inference. Expect multi-step problems, not isolated recall.

It is a written exam with open-ended problems. Some items offer several options and ask you to choose one and justify the choice. The current number of questions and the choice rules are set by the administering body each year, so check its official site for the version that applies to your sitting.

These are set annually by the official body and can change, so no fixed figure is given here. Consult the official Balearic Islands university-access website for the duration, scoring rules and any minimum requirements before you plan your exam-day timing.

Retake arrangements and how long results remain usable are governed by the official regulations and can change between years. Check the current rules on the administering body's site, and ask your school's guidance staff, before assuming a specific retake window or validity period.

The content mirrors the second-year mathematics course, but the paper compresses it into a few demanding problems. Difficulty comes from combining ideas, for example using a determinant result inside a geometry problem, and from needing complete justification. Steady practice with full written solutions matters more than covering more topics.

Start with linear algebra and geometry, since they build methodical habits and appear early. Then work through differential and integral calculus together, because optimisation and area problems share technique. Leave probability and statistics for a dedicated block, but revisit it weekly so the distribution tables and formulas stay fresh.

Unjustified answers, arithmetic slips carried through a long problem, misreading whether a question asks for a value or a proof, and running out of time on the last item. Write the method before the calculation, keep units and notation consistent, and practise finishing a full paper within the time limit.

Work past-style problems under timed conditions, then mark them against the expected reasoning rather than only the answer. Keep a short error log of recurring mistakes, and redo those problems a week later. Confirm the current exam instructions on the official site so your practice matches the real format.