TMUA Practice Questions
Original questions for each topic in the specification. The official papers stay on the past papers page. Start with the free diagnostic, or open a topic in the syllabus.
Free
1273 questions
All 1273 questions and their correct letters are free. 145 of them also include the worked solution.
Browse by topicFull bank
1273 solutions
This is the paid bank. Every question includes the worked solution, including the 1128 that are answer-only for free.
Unlock the full bank · £59Syllabus
Each row is one specification topic. The bar is how many of its questions you have answered in this browser, and Correct is how many of those were right. Open a topic to practise it one question at a time.
| Topic | Progress | Correct | Papers |
|---|---|---|---|
| MM1 Algebra and functions | 0/182 | — | 129 on Paper 153 on Paper 2 |
| MM2 Sequences and series | 0/147 | — | 103 on Paper 144 on Paper 2 |
| MM3 Coordinate geometry | 0/98 | — | 59 on Paper 139 on Paper 2 |
| MM4 Trigonometry | 0/104 | — | 67 on Paper 137 on Paper 2 |
| MM5 Exponentials and logarithms | 0/105 | — | 83 on Paper 122 on Paper 2 |
| MM6 Differentiation | 0/99 | — | 69 on Paper 130 on Paper 2 |
| MM7 Integration | 0/114 | — | 78 on Paper 136 on Paper 2 |
| MM8 Graphs of functions | 0/72 | — | 46 on Paper 126 on Paper 2 |
| M2 Number | 0/63 | — | 30 on Paper 133 on Paper 2 |
| M3 Ratio and proportion | 0/18 | — | 14 on Paper 14 on Paper 2 |
| M4 Algebra | 0/25 | — | 11 on Paper 114 on Paper 2 |
| M5 Geometry | 0/40 | — | 18 on Paper 122 on Paper 2 |
| M6 Statistics | 0/18 | — | 10 on Paper 18 on Paper 2 |
| M7 Probability | 0/26 | — | 22 on Paper 14 on Paper 2 |
| Arg The logic of arguments | 0/113 | — | 113 on Paper 2 |
| Prf Mathematical proof | 0/28 | — | 28 on Paper 2 |
| Err Identifying errors in proofs | 0/21 | — | 21 on Paper 2 |
The free diagnostic is eight questions, with no account. It returns an indicative band by topic, not a predicted TMUA score.
How these TMUA practice questions work
Each question has five options. Choose the letter you think is right. A correct choice shows the result at once. A wrong choice leaves one more try, then shows the correct letter. Where a worked solution is included, it opens with that result, and names the mistake behind each other option. The full bank is £59 for 12 months.
The eight-question diagnostic needs no account. It is a starting check by topic, not a mock score. What you answer is stored in this browser, and on your account once you sign in, so topic progress and the mistake log appear after you have attempted a set and follow you to another device.
How to practise
- Take the diagnostic, or open the topic you already want to repair.
- Work the questions untimed. Calculators are not allowed on the test, and they are not needed here.
- Read the worked solution on the questions that include one. On the rest, keep the correct letter and move on.
- Sit an official paper from the TMUA past papers when that topic is steady. Use 75 minutes, and answer every question. There is no negative marking.
TMUA practice questions by topic
These topics have their own page. The second number is how many worked solutions on that topic are free to read. The rest of the questions still show the correct letter. Ratio and proportion, statistics, and mathematical proof use the same free set as the other topics.
- MM1 Algebra and functions — 182 questions, 9 free worked solutions
- MM2 Sequences and series — 147 questions, 9 free worked solutions
- MM3 Coordinate geometry — 98 questions, 9 free worked solutions
- MM4 Trigonometry — 104 questions, 9 free worked solutions
- MM5 Exponentials and logarithms — 105 questions, 9 free worked solutions
- MM6 Differentiation — 99 questions, 9 free worked solutions
- MM7 Integration — 114 questions, 9 free worked solutions
- MM8 Graphs of functions — 72 questions, 9 free worked solutions
- M2 Number — 63 questions, 8 free worked solutions
- M3 Ratio and proportion — 18 questions, 8 free worked solutions
- M4 Algebra — 25 questions, 8 free worked solutions
- M5 Geometry — 40 questions, 8 free worked solutions
- M6 Statistics — 18 questions, 8 free worked solutions
- M7 Probability — 26 questions, 8 free worked solutions
- Arg The logic of arguments — 113 questions, 9 free worked solutions
- Prf Mathematical proof — 28 questions, 8 free worked solutions
- Err Identifying errors in proofs — 21 questions, 8 free worked solutions
Practice questions and past papers
A past paper is an official PDF: 20 questions, 75 minutes, marked from UAT-UK’s worked answers. These practice questions are for the topic you missed. Use the specification to see the topic list, then open that topic here. When you want a full paper, go to the TMUA past papers. Official questions sorted by the same codes are on TMUA past papers by topic.
Calculators are not allowed on the test, and they are not needed for these questions. There is no negative marking on the live papers, so a timed paper is still answered in full. The score notes are on how the TMUA scale works.
Common questions
Are these official TMUA past paper questions?
No. These TMUA practice questions are written for SummitPapers. The official 2016–2023 papers stay on UAT-UK’s archive, and this site links to them from the TMUA past papers page. A question here uses the same specification topics, with different numbers and wording.
How many TMUA practice questions include a worked solution?
All 1,273 questions and their correct letters are free to read. 145 of them also include a worked solution. The full bank is £59 for 12 months: a worked solution on every question, including the 1,128 that are answer-only for free.
Does the diagnostic predict a TMUA score?
No. The diagnostic is eight questions and returns an indicative band for that short set. It is not a predicted score on the 1.0 to 9.0 scale. UAT-UK does not publish a conversion from a practice set to the live test.
Do the practice questions cover both papers?
Yes. Most topics appear on Paper 1 and Paper 2. The logic of arguments, mathematical proof, and identifying errors in proofs are examined on Paper 2 only, and the questions for those topics are labelled that way.
Should I do these before a past paper?
Read the specification, then practise the topic you want to repair, then sit an official paper to time. The practice questions tell you which topic went wrong. A past paper tells you whether you can finish 20 questions in 75 minutes.
Are the practice questions timed?
No. Topic practice and the eight-question diagnostic have no clock. When you want the 75-minute limit, sit an official past paper and mark it from UAT-UK’s worked answers.
Why do some questions show the letter only?
The question and the correct letter are free on every item. A worked solution is included on 145 questions. On the others, the worked solution is part of the paid full bank (£59 for 12 months).