Here’s the thing nobody tells you about free maths exam practice: the questions are everywhere. The answers are locked in a vault.
You’ll find a hundred places hosting question papers. Try to find the same paper with full worked solutions and suddenly you’re staring at a login wall, a dead link, or a PDF where someone helpfully removed pages 12–19 because that’s where the answers lived.
That’s not an accident. It’s a system, and once you see how it works you can route around it. Here’s the whole map.
Why the questions are free but the solutions aren’t
Question papers get released on purpose. Exam bodies want students practising in the right format, and a public archive of past papers is cheap goodwill that also drives demand for the exam itself.
Worked solutions are a different product. Someone paid to have them written, and that someone sells them as part of a paid resource pack, a teacher-portal subscription, or a printed guide. Publishing them free would undercut the paying customers — so they don’t.
There’s also the copyright layer. Papers are usually released under a licence that permits personal and educational use, while redistribution of the official marking scheme is restricted. That’s why you constantly see question compilations with a polite note saying answers were removed for licensing reasons.
Then add the modern layer on top: a lot of “free” sites are lead-capture funnels. You get three questions and a blurred screenshot of the solution, then a signup form. The maths was never the product. You were.
The four kinds of free sources worth your time
- Official past-paper archives. The most realistic practice you can get. Questions are reliably free, marking schemes are usually free, full worked solutions almost never are. Best for timing yourself and getting used to real question phrasing.
- Open university courseware. Lecture notes, problem sets, and occasionally complete solution sets from courses whose material was published under open licences. Harder content, but the rigour is real and the solutions are often genuinely worked line by line.
- Community archives and mirrors. Aggregated collections maintained by hobbyists, study groups, and forum regulars. Quality varies wildly, coverage is often excellent for older papers, and links rot fast.
- Openly licensed textbooks. Freely redistributable textbooks with exercise sections and, sometimes, an instructor solutions manual that escaped into the wild. Great for concept drilling rather than exam simulation.
Where the worked solutions actually hide
Marking schemes are not the same as solutions
A marking scheme looks useless at first — terse lines like “M1 for correct substitution, A1 for 4.2.” It isn’t useless. It’s a compressed solution that tells you exactly which steps earn credit. Once you can read one fluently, it’s often better than a full walkthrough, because it teaches you the exam’s scoring logic instead of just the maths.
Community solve threads
Forums and question-and-answer sites where somebody posts a problem and strangers argue about it until they converge. Messy, occasionally wrong, and genuinely valuable — you get multiple methods, edge cases, and explanations of why the obvious approach fails.
Video walkthroughs
The trick is searching the exact wording of the question, not the topic. Distinctive numbers plus the word “solve” will find a human who worked that specific problem. Topic browsing gets you generic lessons; question-text searching gets you the actual answer.
Higher-level course notes
If you can’t find a solution at your level, the same technique usually shows up in first-year university notes, fully worked, just dressed in scarier notation. Strip the notation and the method transfers.
How to tell a garbage answer key from a real one
- Answers only, no method. Nearly worthless for learning. You can’t debug a process you never saw.
- Unexplained jumps. Real worked solutions show the move between lines. If it teleports from step two to step five, it’s a summary, not a solution.
- Suspiciously clean numbers. Real exams have ugly decimals and awkward fractions. If every answer is a neat integer, you’re probably looking at a simplified worksheet, not an actual paper.
- Conversion errors. Spot-check one question you already understand. If it’s wrong, the file is a scan of a scan and everything downstream is suspect.
- Paywall at step three. If the free part ends exactly where the thinking starts, that’s the funnel working as designed.
- Stale syllabus. Check dates and topic coverage. A brilliant solution set for a syllabus that no longer exists is a trap.
A study loop that actually works with free material
- Pick one topic. Not one paper — one topic.
- Do five to ten questions cold, timed, no notes, no peeking.
- Mark against the marking scheme before reading any worked solution. The point is to discover where you lost marks, not to be told.
- Only then read the full solution and compare it to what you did.
- Write the fix in one line in an error log. One line. Not a paragraph.
- Redo the missed questions three days later, then again after ten days.
- Later, mix topics in one sitting so you have to choose the method rather than being told it.
That last step is the one everyone skips and it’s the one that actually mirrors an exam.
The grey-area stuff, and why it’s less shady than it sounds
Personal archiving, mirrored copies, shared drives among a study group. This is where the “not allowed” framing kicks in, so it’s worth being precise about which part is actually a problem.
- Downloading a paper for your own study. In most places private study and personal-use copying sits in an explicit legal carve-out. Nobody is coming for you.
- Sharing a file with a few classmates. Technically grey, practically unenforced at that scale, and the reason half of all free archives exist in the first place.
- Reuploading an entire paid solution pack to a public site for ad revenue. This is the part that actually attracts takedowns, because now somebody is monetising someone else’s work.
Rule of thumb: consume freely, share narrowly, never monetise. That keeps you squarely in the zone where nobody cares.
Turning a solution into an actual lesson
Reading a worked solution feels like learning. It usually isn’t. Everything makes sense while your eyes are on the page and evaporates the second you close it.
- Hide the solution and reconstruct it from scratch. If you can’t, you didn’t learn it.
- Name the technique out loud — “this is a difference of two squares” — so you recognise it next time.
- Note the first move, not the whole thing. The first move is where marks are lost.
- Steal the marking scheme’s phrasing. Exams reward specific vocabulary, and it costs nothing to use theirs.
- Separate method marks from accuracy marks. A wrong final number with a correct method is a very different failure from a correct number with no working.
The bottom line
The gatekeeping around maths solutions isn’t a conspiracy, it’s just a business model. Questions are marketing. Solutions are the product. Once you understand that split, the search stops being frustrating and starts being a routing problem.
You don’t need a subscription. You need a search strategy that targets exact question wording, a marking scheme you can actually read, and enough self-control not to peek at the answer before you’ve earned the irritation of getting it wrong.
Get the questions free. Hunt the solutions in the places nobody advertises. Treat the marking scheme as the real answer key. That’s the entire game.