This page collects university mathematics entrance tests and preparation materials. It is an index of external documents: it is not an INVALSI test, and there are separate quizzes for the booklets and an introductory ESAT selection. The resources are grouped by origin so that further papers can be added easily.

Science Faculty entrance questionnaires
Part A quiz: 7 questions · Part B mathematics quiz: 8 questions · Mathematics and statistics quiz: 3 questions. Each quiz is an adapted selection; use the PDFs for the full papers.
The MaCoSa educational archive lists three related papers and a page of explained answers. MaCoSa preserves these tests; the host website should not be mistaken for the institution that administered them.
- Part A: general questions (PDF) — the archive identifies questions 6 to 18.
- Part B: mathematics (PDF).
- Part B: mathematics for mathematics and statistics degrees (PDF).
- Answers and explanations for Parts A and B.
UK universities: ESAT Mathematics 1
Take the ESAT quiz: 14 introductory exercises. These are original questions across the guide’s seven areas, not an official mock test.
The ESAT Mathematics 1 guide is preparation material containing topics, examples and exercises; it is not a single examination paper. MaCoSa notes that the answers to exercises A–C on pages 7–9 appear on page 12, while the other exercises are followed by their answers.
- ESAT Mathematics 1 guide (PDF, MaCoSa copy).
- MaCoSa notes on the guide and corrections.
- Preparation materials on the UAT-UK organiser website — guides, sample tests and archives.
When more tests become available, they can be added to this same index, always identifying the paper, any solutions and the document host.