Updated 3 August 2026
Which ESAT past papers should you use?
October ESAT booking closes 28 September 2026, 18:00 BST. View booking dates. UAT-UK deadlines (opens in a new tab)
ENGAA past papers · NSAA past papers.
Mathematics 1 overlap
These are older official ENGAA and NSAA S1 papers, not current ESAT papers. Check each question against the current ESAT format (opens in a new tab): 27 questions in 40 minutes per module, no calculator.
Out of spec
UAT-UK crosses out-of-spec questions in advanced parts.
| Paper | Answers | Marked |
|---|---|---|
| ENGAA 2016 | Key | Part B |
| ENGAA 2017 | Key | Part B |
| ENGAA 2018 | Key | Part B |
| ENGAA 2019 | Key | Part B |
| ENGAA 2020 | Key | Part B |
| ENGAA 2021 | Key | Part B |
| ENGAA 2022 | Key | Part B |
| ENGAA 2023 | Key | Part B |
| NSAA 2016 | Key | Part E |
| NSAA 2017 | Key | Part E |
| NSAA 2018 | Key | Part E |
| NSAA 2019 | Key | Part E |
| NSAA 2020 | Key | Nothing |
| NSAA 2021 | Key | Nothing |
| NSAA 2022 | Key | Nothing |
| NSAA 2023 | Key | Nothing |
Marked: Part B only; Part E only; Nothing marked.
Match modules
ENGAA S1 Part A, NSAA S1 Part A
Nothing is marked: check questions against the Mathematics 1 guide.
Try Mathematics 1 questionsENGAA S1 Part B, NSAA S1 Part E (2016–2019 only)
The one part UAT-UK marks. Content splits between Mathematics 2 and Physics, so there is no clean match.
Try Mathematics 2 questionsENGAA S1 Part A, NSAA S1 Part B
ENGAA Part A mixes mathematics and physics, so sort by question, not by part.
Try Physics questionsNSAA S1 Part C
ENGAA carries no chemistry. Keep only what the current Chemistry guide lists.
Try Chemistry questionsNSAA S1 Part D
ENGAA carries no biology. Check each recall question against the current Biology guide.
Try Biology questionsWorked examples
Non-official originals.
Worked example Mathematics 1
Maths 1 overlap; verify guide.
Line through (2,5), (6,13): equation?
m = Δy ÷ Δx = 2. 5 = 2(2) + c, so c = 1. y = 2x + 1. 5 is not the intercept.
Worked example Mathematics 2
M2/Physics mix; classify first.
3, 7, 13, 21; second difference 2: sixth term?
Differences: 4, 6, 8, 10, 12. 31 + 12 = 43. 43. Adding 8 again gives 39.
Worked example Physics
ENGAA A: maths and physics.
12 V across 6 Ω: current?
I = V ÷ R. 12 ÷ 6 = 2 A. 2 A. Multiplying gives wrong units.
Worked example Chemistry
NSAA C: chemistry; not ENGAA.
Moles in 25 cm³ of 0.20 mol dm⁻³?
25 cm³ = 0.025 dm³. 0.20 × 0.025 = 0.005 mol. 0.005 mol. Use dm³, not cm³.
Worked example Biology
NSAA D: biology; not ENGAA.
Image 24 mm, specimen 0.08 mm: magnification?
Magnification = image ÷ actual. 24 ÷ 0.08 = 300. ×300. Use matching units.
Check baseline
Take the diagnosticNeed 27 more Mathematics 1? Mathematics 1 Set 2 includes worked solutions and wrong-option explanations. It's £29 with a 30-day money-back guarantee..