TMUA · P1
Paper 1: Applications of Mathematical Knowledge
Free
TMUA · ESAT · ENGAA · NSAA
Every TMUA, ENGAA and NSAA past paper the publishers have released, plus the ESAT specimen material — 70 of them scored automatically from the published answer keys, so you enter your letters and get your mark and your weak topics instead of counting by hand. And 5 full-length Telos mocks, written for this and timed like the real thing.
An email and a password. No card. The 5 Telos mocks and every past paper below are included at no cost.
Free, full length, properly timed
Written by us, modelled on the real format, timing and question styles. These are not past papers and not reproductions of anybody's — they exist because there are only so many real papers and most candidates run out of them. The clock is server-authoritative, so closing the tab does not pause it.
TMUA · P1
Free
TMUA · P2
Free
ESAT · M1
Free
ESAT · M2
Free
ESAT · PHY
Free
A further 5 Telos mocks are £1 each, or included with Pro. The 5 above cost nothing.
Past papers
Reproduced from the publishers' own free releases. You enter the letters you chose; Telos marks them against the published key, scores the paper, and tells you which topics the wrong ones belong to. The papers themselves open once you have an account — they are third-party materials and we do not serve them from public URLs.
| Test | Papers | Years | Auto-marked | PDFs hosted |
|---|---|---|---|---|
| NSAA | 36 | 2016–2023 | 36 | Yes |
| TMUA | 18 | 2016–2023 | 18 | Yes |
| ENGAA | 16 | 2016–2023 | 16 | Yes |
| ESAT | 10 | 2024–2025 | — | Keys only |
| Total | 80 | — | 70 | — |
Where a paper has no published answer key, Telos still tracks the sitting and your own marks — it just cannot score it for you. The ESAT material is new enough that no keys have been released.
Why bother logging them
Coming up
One free paper, sat by everyone inside the same window (10:00–22:00), so the mark comes with a position against everyone else who sat it.
Log a paper you have already sat and see what it says. If the topic list does not tell you something you did not already know, you have lost two minutes.
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