Written practice: eight past finals with full solutions

The final is a written test of 5 questions, each with 2–3 parts, 120 minutes, usually without a calculator. These are the real papers of 2018–2025 (both groups of 2018–19 and both shifts of 2023–24 and 2024–25). Every part has the answer and a complete worked solution, computed in exact arithmetic with every row operation shown; some parts link to the lab where you can check the same data by several methods.