Sets practice, graded like a real exam
Set-builder notation, operations, and set identities. Sets rewards precision and repetition more than almost anything else on a sets, relations & functions course — it is exactly the kind of topic where working through twenty varied problems beats re-reading the chapter a third time. QED gives you an endless supply of exam-grade sets questions and marks every answer the way an examiner would, so each attempt actually teaches you something.
✓ First questions free · no card · no setup
What a Sets question looks like
In a QED session, an exam-level sets question might ask you to prove a set identity such as one of De Morgan's laws by the “subset both ways” method, compute a power set or a Cartesian product, or count the elements of a union with inclusion–exclusion.
Every question carries a hidden marking rubric. You answer in real notation, and QED marks each criterion separately — awarding partial credit and showing a full worked solution, so you learn from the marks you dropped.
Every Sets subtopic
13 focused guides, each with the method, a worked example and the mistakes that cost marks. Work through them in order or jump to your weak spot.
- 1Set-builder notation & membership
- 2Union, intersection, difference & complement
- 3Subsets & the power set 𝒫(A)
- 4The Cartesian product A × B
- 5Proving set identities
- 6Cardinality & inclusion–exclusion
- 7Indexed families & generalised ⋃ / ⋂
- 8Partitions & disjoint unions
- 9Countable vs uncountable sets
- 10Characteristic (indicator) functions
- 11Venn diagrams & shading regions
- 12Symmetric difference A △ B
- 13Russell’s paradox & naive set theory
Why students use QED for Sets
Not another chatbot that blesses whatever you type. QED is built for deliberate practice — the way maths actually sticks.
Practice that never runs out
A textbook gives you a handful of sets exercises with the same worked answers everyone has seen. QED generates unlimited fresh sets questions at warm-up, exam and challenge level, so you can drill a weak spot until it is automatic — not until you run out of problems.
Marked like an examiner, not a checkbox
Most tools just say “correct” or “wrong”. QED marks your sets answer against a point-by-point rubric, awards partial credit, shows exactly where the reasoning slipped, and gives a full model solution. A right answer with the wrong argument still loses the argument marks — just like a real exam.
A library you can come back to
Every sets question you generate is saved, organised and re-takeable as a timed exam. Your mastery is tracked per topic, so you always know whether Sets is exam-ready or still needs work — and you can export any question or exam report to PDF.
Write maths the way you actually write it
Answer in real notation with a one-tap symbol palette and a visual equation editor, drop in truth tables, or photograph a handwritten page — QED converts your handwriting to clean LaTeX. No fighting with syntax to show what you know.
How practising Sets works
- Generate a fresh questionPick Sets and a difficulty — warm-up to build intuition, exam level for the real thing, or challenge for multi-step problems. A new, verified question appears in seconds.
- Answer in real notationType it, build it in the equation editor, lay out a truth table, or photograph your handwritten working and let QED convert it to LaTeX.
- Get marked criterion by criterionQED scores every rubric point separately, awards partial credit, flags where the reasoning slipped and shows a full model solution. The question is saved to your library to retake any time.
Related topics
Building a full picture of sets, relations & functions? These pair naturally with Sets.
Sets — frequently asked questions
Is QED good for revising Sets before an exam?
Yes — that is exactly what it is built for. Generate sets questions at exam level (or push up to challenge), answer them under timed exam mode, and get marked against a rubric with a full model solution. You can retake any question and watch your Sets mastery climb until it is solid.
How many Sets questions can I practise?
As many as you like. QED generates fresh sets problems on demand instead of recycling a fixed set, and every question you make is saved to your library to retake for free. New accounts start with free question generations, no card required.
Do I need to know LaTeX to answer Sets questions?
No. There is a one-tap palette for symbols, a visual equation editor, and a truth-table builder — and you can photograph a handwritten solution and let QED convert it to LaTeX for you. You concentrate on the maths, not the typesetting.
Ready to make Sets exam-proof?
Generate your first sets questions free — no card, no setup. Practise until it is second nature.
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