News

Hi everyone,

I’m very sorry about today’s outage. Despite my preparations, the system has not coped with the demand, and I’m sorry to have kept you waiting.

I have a clearer idea of what may be causing the problem, but I cannot confidently resolve it within the next hour. I therefore have to cancel this afternoon’s live mock.

I’ll work on fixing the issues and, if I’m confident the system is ready, aim to reschedule the mock for tomorrow afternoon. Otherwise, I will release the paper set to all PLUS beta users by tomorrow so you can attempt it in your own time. I’ll post a further update once I can confirm the plan.

In the meantime, I’ll try restarting the database to restore normal access to the site.

Thank you for your patience, and again, I’m sorry for the disruption—especially to everyone who set aside time to take part.

Joe

I have now published the initial grade-boundary estimates for JZ Exam Set A, based on students’ performance over the last few days. These are indicative estimates and will be updated as more students complete the papers.

I’m broadly happy with the difficulty, style and timing of this new set, which is designed to reflect the current TMUA. In many ways, I think it is better than my earlier JZ mocks, which I largely wrote back in February. I feel I’m getting better at setting questions the more I write! Every set in the beta will also be reviewed by both Jackie Tyler and me: one of us takes the lead as author, and the other provides an editorial review, bringing both our perspectives and experience to the papers.

For Set A, I’m going to come clean: at the eleventh hour, I took another look at Paper 2 and decided it might still be too hard 😂, so I replaced a few of the hardest questions with more reasonable ones. That probably made it ever so slightly easier than I had intended, but not by much. My own rough judgement was that it had been around 10–15% harder than the current TMUA; now, I’d put it perhaps 5% easier.

Paper 1 is slightly harder than I had intended, though students also tend to be stronger on that paper, so I think it's ok. We’ll continue to monitor the balance as we write more sets and see how you get on with them. The aim is to reflect the current TMUA’s difficulty and mix of questions as closely as possible.

In other news, development of the live mock system is complete, and I hope many of you will join us on Saturday! The live mock page will be updated tomorrow. All you need is to be signed up to PLUS beta, no separate registration is required. Just turn up at the scheduled time and click Start.

Thank you to everyone who has signed up to PLUS beta and promptly had a go at the brand-new JZ Exam Set A.

I’ll be monitoring the difficulty and overall performance quite carefully. 🙂 That will help inform how I finalise JZ Exam Set B, which is already mostly written. I can still adjust the balance by replacing a few questions with harder ones, or swapping out some of the tougher questions for something a little more forgiving.

Jackie and I will have a good discussion about the final difficulty before Set B is released for next Saturday’s live mock.

Speaking of which, this is probably a good time for me to go and continue coding the live mock system. 😂

Also, in other news, you lot have somehow managed to burn through Supabase’s supposedly generous free tier — my database provider — so JZMaths has officially reached the stage of development where people using the website is now costing me even more money. 😂

A very nice problem to have, of course. I hope it means you’re all making good use of the resources here for your TMUA preparation. Thank you!

I'm pleased to share what Jackie Tyler of Tyler Tutoring and I have been working towards: PLUS beta, an early release of new TMUA Exam Sets and the first step in our longer-term collaboration on PLUS.

The new Exam Sets are designed to reflect the current TMUA as closely as possible in difficulty, question length and overall time pressure, drawing on our experience of writing papers and working through a wide range of preparation materials with our students.

Joining PLUS beta is free. Once you have completed two different full papers in the simulator, regardless of your scores, you can join. JZ Exam Set A is available now and free. JZ Exam Set B will follow, first as a free scheduled live mock and then available to attempt in the simulator at a time that suits you.

Sets A and B are free for PLUS beta members. JZ Exam Sets C and D, plus Tyler Exam Set A, will be available later as an optional £30 bundle: six papers for a one-off payment. All PLUS beta access lasts until 8 January 2027. Students eligible for free school meals can receive the full bundle free.

PLUS will help us devote more time to creating and improving these resources. Everything we have previously made publicly available for free will remain free forever, and we will continue adding free material.

Explore PLUS beta and join, or read more about our collaboration and why we are building PLUS. Thank you for helping the site grow and improve!

I have completed another recalibration of question difficulties and student ability estimates using the latest attempt data. As more students complete papers, this gives us more evidence to refine the estimates. I have also upgraded the grade boundary files for my mocks and Jackie Tyler's mocks.

You may notice a small change in your mastery score, even if you have not submitted another paper. This is expected: your previous answers are now assessed against the updated question difficulties.

If you notice any numbers that look strange, or a change that seems unexpectedly large, please let me know so I can investigate. Thanks to everyone using the simulator and helping improve it!

No, I haven’t disappeared! I’ve been working on new content that I hope to reveal over the next few days. 🙂

Today, I’ve added the implied average difficulty of each paper, based on student performance, to help you decide which papers to attempt.

I recommend starting with some of the green papers rather than JZ Mock A Paper 1, which is actually one of the hardest—sorry! Yes, I’m suggesting you start with someone else’s papers before mine. I may have written them, but I’d rather you start with something more manageable and build from there. 🙂

I can also confirm that our Egg Hunt winner has claimed their prize of two hours of tuition, so the competition is now officially complete. Thank you again to everyone who took part!

Subject to confirmation on the official National Lottery website, the winning number is 29!

The full details on the Egg Hunt page.

Congratulations to number 29, and thank you again to everyone who took part in the Egg Hunt! 🙂

I have now finished Standard Trigonometric Equations. I am deliberately revisiting a familiar A-level topic, developing it from the basic definitions rather than simply quoting results without fully explaining them. My aim is to show what a deep understanding of even a basic topic can achieve, and how it can greatly simplify some TMUA questions.

In my experience, most students preparing for the TMUA would benefit greatly from the ideas in this article, so I recommend having a read to see why. Don't say I didn't tell you! 😄

Thank you to everyone who participated in the egg hunt — I hope you learnt some logic along the way!

While writing the logic course worksheets, I started slipping in Easter egg questions: unserious, but logically rigorous and hopefully funny. I love setting them and cannot seem to help myself — what started as an itch has developed into a ritual! 😄

To celebrate finishing the course, I decided to turn their answer keys into a coded puzzle. I rearranged the answer options so that the correct answers, read in order, gave BBABBAAAAAAA. With A representing a dot and B a dash, this becomes the unspaced Morse code for MATHS: -- .- - .... ....

Unspaced Morse code is usually ambiguous, so I gave the hint that the treasure word was mathematics-related and contained five different letters, to help you find the intended word.

I imagine some of you got BBABBAAAAAAA and simply fed it into ChatGPT. 😂 And that’s absolutely fine — working through the worksheets and finding the correct answers was the main part: learning some logic and having a bit of fun!

I’m pleased to say there were 65 correct entries, so M = 65, and I have now emailed everyone their assigned number. If you submitted MATHS (upper or lower case, both are considered correct), but have not received an email, please contact me at jzmaths@hotmail.com and I’ll check.

Good luck for the draw on Saturday!

For those who enjoyed these questions, you’ll also find some unorthodox, unserious but entirely rigorous logic questions in Paper 2 of my mock sets.

I have finally finished Methods in Sequences and Summations—and it took much longer than I had hoped!

It proved trickier to write than I initially expected. The article covers a loosely connected collection of techniques, so organising them and distilling the essential ideas—without disappearing into less relevant mathematical details—was surprisingly difficult.

I consider this topic highly relevant to the TMUA—even more relevant than my own favourite subject, modulo arithmetic—so I strongly recommend having a look!

A good morning's work! I have now finished the Modulo Arithmetic article — one of my favourite topics. I had to resist the temptation to keep adding more interesting, but definitely irrelevant, results in modulo arithmetic. 😂

Anyway, I hope you all find it interesting! I am also currently working through the next article on sequences and summations, which I have been writing on and off for the past few days, as there is quite a bit of relevant material to cover.

With some luck, I might finish that one today too.

The login issue affecting some students should now be resolved for most users. It was caused by an intermittent outage at my database provider following one of its recent server updates.

Although the provider has not yet fully resolved the underlying issue, I have introduced mitigations that should allow the majority of students to log in normally.

Implied grade boundaries and mastery scores

Jackie Tyler kindly suggested that it would be useful to show both the 2017–2023 and 2024 onwards implied grade boundaries. I agreed, and have now added both sets to the grade-boundary PDFs.

The 2024 onwards boundaries are currently based on unverified community estimates. However, they are still likely to reflect the current grade boundaries more accurately than the official 2017–2023 boundaries.

I am therefore likely to change the main mastery display in the coming days so that students see their 2024 onwards equivalent mastery score as the default value, with the 2017–2023 equivalent retained for reference. This should give a better indication of how their performance relates to the current TMUA grade boundaries.

Today’s technical issue distracted me from the pleasures of writing the new article on modulo arithmetic, so unfortunately it will not be finished until tomorrow. 😂

I did not feel that a separate practice test was necessary for Transformations Part B, so I have added only a topic test. However, I strongly recommend attempting it, as many of the questions serve as TMUA-style worked examples that I did not include in the article. 😊

Going forward, I plan to release the remaining articles first, then add more practice and topic tests as time allows.

You can now download model-implied grade boundaries for both the JZ Maths mock papers and Tyler Tutoring mock papers from the Exam Papers page.

These are based on the current mastery model and anchored to the published TMUA conversion tables from 2017–2023. I have also included a short explanation of how the estimates are calculated and some important caveats.

I will continue to update them as more student data becomes available, probably every couple of weeks until the exam.

Tomorrow morning, I am planning to run a full recalibration of the question difficulties used by the mastery system, together with a full recalculation of everyone’s mastery scores based on these updated difficulties.

When the mastery system was first introduced, the difficulty of many questions necessarily had to begin with my own estimates. That was a reasonable starting point, but now that a much larger number of students have attempted the questions, we have enough real performance data to increasingly let the model estimate question difficulty from how students actually perform.

After all, you probably don't want your mastery score to depend purely on what I happen to think is difficult — however impeccable my judgement may occasionally appear to me. 😊

I expect to carry this out at around 6–7am UK time tomorrow morning. In theory, there should be no disruption to the site at all, but I am deliberately doing it at a quieter time just in case something unexpected happens.

Please expect your mastery score to change a little after the recalibration, although I do not expect the change to be substantial. Whether it moves up or down, just remember that the change should be taking it in the direction of a more accurate estimate! 😊

I also plan to publish model-implied grade boundaries for both the Tyler Tutoring mock papers and my own JZ Maths mock papers tomorrow, so you will be able to get a rough idea of how a raw score on each paper corresponds to the current TMUA score scale.

I had originally planned to add a couple of TMUA worked examples to the Transformations article. On reflection, however, I think that if you want to see these ideas applied to TMUA-style questions, you will get more from attempting the new practice test and topic test—especially the topic test. This also gives you the opportunity to try each question yourself before reading the worked solution.

A few students have written to me after accidentally ending a paper—usually, I assume, by mis-clicking End Exam and then also confirming it; sometimes, apparently, by ending the wrong paper entirely. They have therefore asked me to allow them to delete the attempt and remove its effect on their mastery score.

I was initially reluctant to add this feature, for two reasons:

1. It would give students a way to game the system by deleting poor attempts.

2. Because of the way the mastery system works, removing the effect of a single attempt requires a complete recalculation of that student’s mastery score. This is an expensive calculation, so if too many of you do this too often, you are going to bankrupt me. 🙂 (Perhaps a slight exaggeration!)

However, on balance, I have decided to add it:

1. You are all highly intelligent and motivated students who understand perfectly well that there is no point in gaming the system. Doing so would only make your own mastery score less meaningful, so I trust that you will use the feature only for genuine mistakes.

2. That said, there will be a limit of three deletions in any seven-day period—haha, that’s right: I trust you, but not quite that much!

There is now a Delete button next to each attempt. Once you confirm the deletion, the attempt will be removed and your mastery score recalculated.

I hope this helps! Now, back to writing those transformation questions...

I have added a new section to the Transformations article on transforming the equation of a curve from first principles, because while writing questions, it became clear this new section would be highly useful. Rather than changing the input or output of a function, this method tracks what happens to an arbitrary point $(p,q)$ and recovers the equation from its image. It handles cases the usual approach struggles with — in particular curves that are not written in the form $y=f(x)$ at all.

The article was already too long before this, and now it's definitely too long! So I decided to split it into two sections. Sorry the other topics will have to wait, as I need to do this right! 🙂

• Part A — Core transformations and equations of curves: the vertical and horizontal transformations, the order in which they combine, reflections in $y=b$ and $x=a$, and the new first-principles method.
• Part B — Modulus transformations, point mapping and rotations: the modulus transformations $|f(x)|$ and $f(|x|)$, a shortcut for finding corresponding points directly, and the bonus section on rotating a curve through $90^\circ$.

I might add to this news update later today when I have completed the practice and topic tests, which I am writing right now!

I have now published the process that will be used to select the prize winner from the correct Egg Hunt entries. If you have entered, please read the Egg Hunt page for full details.

There is nothing further you need to do at this stage — unless you have not yet entered, in which case do it while there is still time! 🙂

Thanks to another helpful suggestion from a student, I have now added the ability to bookmark questions directly from attempt history summaries.

As a minor additional improvement, attempts at correction and bookmarked questions will now also contribute towards the activity heat map. Note also that they do not affect your mastery score directly.

A student made the excellent suggestion of allowing users to bookmark questions with particularly good learning or revision value, so that they can easily revisit and re-practise them later.

This is similar in spirit to the existing “Flag for Correction” feature, but is a more useful and flexible version. I have therefore replaced “Flag for Correction” with “Bookmark for Revision”. Your bookmarked questions can be accessed from the menu under your user account avatar.

Attempts at bookmarked questions do not affect your mastery score; they are treated in the same way as practice-mode attempts.

I had originally intended to write only about the order of transformations. However, it felt more appropriate to cover transformations as a whole. As a result, the article became much longer than planned and cost me quite a bit of sleep 😂, but I think the more complete treatment was worthwhile. The initial version of the Transformations article is now live. I may return to it in a few days with a fresh pair of eyes to make further improvements, and may also add a couple of illuminating TMUA worked examples later. (Update: it has since been expanded and split into Part A and Part B.)

In the meantime, I would like to thank R2Drew2 for his video walkthrough of my Mock E Paper 2, thereby completing his walkthroughs of all ten papers — a truly herculean effort. I have thoroughly enjoyed watching his videos too, and I highly recommend both his walkthroughs of my mocks and his other TMUA-related content.

I have finished the topic test for the Cauchy-Schwarz and AM-GM Inequalities section, again 10 questions, 40 minutes.

The questions mainly focus on direct applications of the two inequalities, with a couple of other topics mixed in.

The next topic is going to be on order of transformations.

A big thank you to everyone who has emailed me over the last few weeks to point out typos, small errors, or anything that did not look quite right. I really appreciate you taking the time to report them. Quite a few corrections have been made as a result, and every report helps me improve the resources for everyone.

I also want to flag one issue with the most recent update to the paper PDF downloads. Unfortunately, that update caused some of the questions in the downloaded PDFs to appear in the wrong order. This has now been fixed.

If you downloaded any of the papers recently, I recommend downloading them again, particularly if you want the question order to match the order used in R2Drew2's video solutions.

Apologies for the inconvenience, and thank you again to everyone who has helped me spot these things!

OK, by popular request, I have now written a new Cauchy-Schwarz and AM-GM Inequalities article, which has been added to the Additional Topics section.

HOWEVER, I should caution at this stage that this article has one of the lowest TMUA relevance scores. If I had followed my own priority list, it would probably have been the last article to be written.

To be clear, what I mean is that these inequalities are among the least likely topics to be directly relevant to the TMUA. The exam is highly unlikely to contain a question for which knowledge of either inequality is necessary, and my own mocks do not rely on them. They only made my list because there are occasional questions where they provide a very nice shortcut to the solution, and they have also appeared in mock papers written by several others recently, so I thought it was worth adding the article for the benefit of students.

I have also decided to add a TMUA Relevance Score to every article in the Additional Topics section, to help you decide which topics to prioritise. This relevance score is completely independent of the difficulty of the topic.

In any case, the article is now here. I hope you enjoy it!

PDF downloads are now available for both the Multivariate Factorisation Practice and the Multivariate Factorisation Topic Test. So, if you prefer working on paper, you can now download and print the questions rather than completing them online. My solutions are also available as separate PDF downloads.

I have also updated the paper download page to include links to R2Drew2's excellent YouTube walkthroughs of my mock papers. Thank you again to Rob for taking the time to do these walkthroughs — and for repeatedly managing to find clever unintended shortcuts to some of my questions. Unfortunately for you (students), I have since closed several of these escape routes. 😂

I am currently still travelling, so updates to Additional Topics will be a little sporadic until I return to the UK in the last week of August. After that, I hope to do a massive sprint and get them all finished by the end of August! Let's see how hardworking I manage to be. 🙂 No promises...

I have finished the topic test for the multivariate factorisation section: 10 questions, 40 minutes.

There are some nice questions in there. I would say the test leans towards the hard and very hard side of the TMUA difficulty scale; AND I made an honest effort to avoid anything unreasonably hard...

Enjoy! 🙂

A new Multivariate Factorisation Practice set has now been added to the end of the multivariate factorisation article.

The set contains 15 questions, starting with relatively straightforward homogeneous expressions before moving on to less familiar non-homogeneous and three-variable examples. Although this practice set is multiple choice, the questions are not intended to be TMUA-style questions. Their purpose is simply to help you become familiar and comfortable with the techniques involved in multivariate factorisation.

I am currently writing a topic test containing TMUA-style questions in which multivariate factorisation plays a critical role in reaching the solution. The topic test therefore will count towards your mastery.

I have now finished the first article for Additional Topics, covering multivariate factorisation — one of the topics students were most keen to see. I will be adding practice questions and a topic assessment for this section next.

I have finally decided to start work on the Additional Useful Topics section that I have had planned for some time, especially after a number of you emailed to request it!

These are methods and ideas that I think are particularly useful for TMUA preparation. Technically, it is possible to solve TMUA questions without explicitly knowing some (or maybe all) of them, and an examiner could reasonably argue that a competent student might arrive at some or all of these conclusions naturally through their mathematical studies.

In my experience, however, this is often not the case. For many students, these ideas remain unfamiliar, overlooked, poorly understood, or understood only superficially. This is not really the fault of students or their teachers! As many of these ideas simply receive relatively little attention in the mainstream mathematics curriculum. So my aim of this section is to address as many of these gaps as possible in detail, to help students further prepare for the TMUA.

Here is the current planned list — which I made into a poll so that you can indicate whichever you would most like me to write first.

The list is subject to change, expansion or omission as I work through it, and is intended to give you an idea of what I currently have in mind.

You are also very welcome to suggest further topics that you think would be useful!

Following suggestions from a couple of students — one of whom even sent me a very good mock-up, thank you! — I have now added extra-time options for candidates who are eligible for access arrangements.

For everyone else, you should continue to complete exam-mode attempts under the standard time limit.

The new progression and mastery system is now live. You can read more about it in How mastery works.

Your historical exam-mode attempts are automatically used to estimate your current mastery score in the new dashboard. The model draws on the same family of Rasch methods used by UAT-UK to score and standardise the TMUA.

I hope you find it useful—I spent far longer building it than I had originally planned... :)

I’m making good progress on the new progression system. It is mostly complete, but as this is a substantial piece of work, I want to check everything thoroughly before releasing it.

In the meantime, you will shortly notice the difficulty ratings for questions change. These new ratings have been carefully calibrated using the official TMUA grade boundaries for past papers, together with anonymised performance data from students using the site. This should provide a much more consistent and reliable indication of how difficult each question really is, across both past papers and mock papers. The old ratings were only my very rough estimates!

These changes are being made in preparation for the new progression system, which I hope to release tomorrow, or by Friday at the latest.

Quick note to say I'm very much around, just deep in the workshop while on holiday!

As mentioned previously, I've been heads-down on a major revamp of the progress and dashboard system — a proper way to track how your mastery is developing over time as you work through the papers, rather than just a score at the end. The system is based on a version of the ELO scoring system, which involves some interesting maths! As a result, I got somewhat sidetracked researching it in possibly more detail than was needed. Oh well... not long now — I'm aiming to release it within the next 7 days.

And this is very much your fault, for using the exam simulator so much that I felt the need to replace the current, very basic placeholder progress tracking with something much more credible and useful.

OK, joking aside — I'm glad it's been useful to people. Keep at the papers!

I've been quietly planning this one for some time, and it's finally here: the Logic Course Easter Egg Hunt.

Hidden within the Logic Course is a puzzle. Each worksheet contains an Easter egg question — usually the slightly less serious one — and the correct answers reveal clues that combine to form a hidden treasure word. Find the word and submit it to enter the prize draw.

It's meant to be fun more than anything — an excuse to spend some time with logic, dressed up as a treasure hunt! Entries close on 31st August. Go and have a look. 🍀

Firstly, many thanks to Rob (R2Drew2), who has now posted walkthroughs of the first four of my mock papers on YouTube. If you have not seen them yet, do take a look - they are excellent.

I have finally finished reviewing the last set of my mock papers, Set E. I will probably take a short break from writing now to recharge a little!

I have also noticed that many of you are using the exam simulator for practice, and it is great to know that the tool is being used! As a result, I have been working on improving the analytics, as the current version is really only a placeholder.

The plan is to introduce an Elo-style progression system that should give a more meaningful measure of overall progress. This is what I am currently working on.

I will be away next week, so I am not sure exactly when it will be ready, but hopefully it will not be too long.

I have now finished full reviews of the first eight of my mock papers, covering Sets A through D. I sometimes tweak and swap questions in earlier papers too, so please make sure you download the latest version of any mock paper before attempting it. Alternatively, you can use the exam simulator, which is always up to date. Lastly, I have also finished transcribing Jackie Tyler's papers into the exam simulator up to and including Set C.

There are also a couple of Easter-egg-style questions in Paper 2 of my latest sets: unserious, but entirely rigorous. I just cannot seem to help myself. Enjoy!

Firstly, many thanks to Rob (R2Drew2) for making a full video walkthrough of my Set A Paper 1 on YouTube. I watched the walkthrough too: very slick as usual, with clear explanations. Thank you very much!

Secondly, Jackie Tyler has very kindly and meticulously gone through my Set A papers, made many helpful corrections, and spotted a couple of careless mistakes from me. Thank you very much as well.

All of these efforts will hopefully help students prepare for the next edition of the TMUA in October.

Lastly, Tyler Mock Set B is now live on the exam simulator.

Jackie Tyler's TMUA Mock Set A is now available in the JZ Maths exam simulator.

I have used Jackie Tyler's mock papers with many of my own students over the years, and I highly recommend them as excellent TMUA preparation materials.

A big thank you again to Jackie Tyler of tylertutoring.com for kindly giving me permission to include her papers on JZ Maths.

I aim to have the rest added this weekend.

A few updates to share:

1. Jackie Tyler of tylertutoring.com has very kindly agreed to allow me to include her papers in the exam simulator. I will look to transcribe her papers into the simulator over the next few days.

2. I have finally finished all the worksheets for the Logic Course, and installed the last of the Easter egg questions!

3. JZ Mock Set C Paper 2 has also been fully reviewed.

My immediate to-do list now is to complete the review of the remaining mocks. After that, I will move on to creating the section on Additional Useful Topics.

A student emailed me with a feature request: to make attempt summaries permanently available for students to view. It was a good suggestion and relatively easy to implement, so it is now live. Thank you, Abdul, for the suggestion!

I have also fixed a few errors pointed out by several students. Thank you to everyone who notified me. These corrections are now live, and both the exam simulator and PDF downloads have been updated.

A reminder that the first five papers are considered fully polished. The remaining five are on my list for a full review.

Worksheets have been added to the sections on the contrapositive and proof by contradiction. I hope you find them useful.

I’ve added a series of Easter egg questions throughout the Logic course worksheets. Can you find them all?

Some worksheets have now been added to the first three sections of my course on logic.

I have also updated the front pages of my papers with guidance notes to remind students that my mock papers contain only hard, very hard, and occasionally unreasonably hard questions :). The routine and easier material has been deliberately left out, so students should not be discouraged if they find the papers difficult or need longer than the recommended time.

The main aim of these papers is improvement rather than measurement: meet difficult problems, struggle with them, learn from them, and get better each time!

Last a couple of days, I have obsessively worked to complete my course on logic, it has finally been completed. I will look to add some worksheets to each section in due course, and perhaps do a video version of this on YouTube.

I have now completed a full review of two more papers. At the same time, my logic course is taking shape, and I hope to release it in the next couple of days.

A couple of weeks ago I decided to do a full review of the mock papers I wrote thus far, to further improve them based on the experience of writing these 5 sets of papers. So far I have fully reviewed the first 3 papers, currently working on the 4th (Set B paper 2). So if you are new here and want to try my papers, start with the first three. I hope to complete the review in a couple of weeks.

In addition, I also have plans for the following sections

• logic course: a free medium style course on logic, in sections, each section will have some worksheets to help students practice the ideas.
• additional useful topics: where I will do some tutorial posts about various useful topics which are nice to know, or knowledge of which may speed up \ make easier certain questions. Some of the topics that will be included are: modulo arithmetic, reflections on lines $x=a$ and $y=b$, and others.

Time scale wise, I hope to have these ready soon as possible, it helps that exams are over and I am basically on holiday now!

The latest set E is now up. I also have a pipeline of questions for the next set.

I have been busy last a few weeks with the exams! Finally set D is completed and up.

Set C is now up, I have also adjusted a few questions in sets A and B after further reviews. My mock papers are generally more difficult, as I believe for practice purposes, you are better served with more demanding questions. However, my design philosophy is that difficulty comes not from increased calculations or brute force work, but in ways of thinking, traps, misdirections, all of which, are designed to train logical thinking! Overcoming these, should in principle, improve your logical thinking.

Another set of mocks done, enjoy, there are a couple of very very hard questions in them!

These took longer than I had expected to write! It is of course also exam season, therefore I didn't have much spare time either. In any case, here they are, available in both the exam simulator, and for standalone download. I should warn you that these questions are perhaps harder than past exam papers, as I kept scrapping questions that I deemed too easy, but now its definitely leaning on the more difficult side. Oh well, doing these hard questions can only make you stronger!

The solutions are temporary. I will look to update them when I have more time.

In the exam simulator you can now flag a question for correction, if you wish to attempt it again (regardless if it you got it right or wrong) in corrections. This can be useful for questions that you want to be reminded of again for revision.

Now you can do corrections of mistakes of exam paper simulation to help with revision. I made it so that the corrections do not add to mastery and only practice exam paper adds to mastery. The mastery diagram feature in the dashboard is a very early first version design, I expect it to evolve in the way it works over time.

I have been working on my own mock papers, will expect to be adding a few of them some point next week. In the meantime, I have now added untime practice mode to exam simulator. It means you can practice a paper spread out over a few session, without time limit, have progress saved, should make practicing easier.

Made first version of spider mastery diagram as a nice visual way to view overall mastery progress. I also added randomization (optional) to simulator, because that's what happens in the real exam. Later, I will look to make the choices also random.

All remaining past papers — 2022, 2023, and the official specimen papers — have been added to the exam simulator. A dedicated paper downloads page has also gone live, so you can grab the PDFs directly if you'd rather work through them on paper.

Three more years' worth of past papers are now available in the exam simulator. Just 2022 and 2023 to go.

Every question in the exam simulator now carries a topic tag (algebra, coordinate geometry, logic, and so on). The dashboard uses these to show you a per-topic strength/weakness breakdown, which is very useful for working out where to focus your next revision session.

You can now create an account with an email and password. Signing up is optional, but it lets the site remember your attempts and track your progress over time. Anonymous users can still sit papers — your progress just won't persist across devices or sessions.

Both 2017 and 2018 past papers (Paper 1 and Paper 2) are now available in the exam simulator.

The exam simulator is live. Paper 1 and Paper 2 from 2016 are both available to sit under timed Pearson VUE-style conditions. More papers to follow shortly.

Hello world!