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Sixth Term Examination Paper (STEP) Syllabus

Advanced mathematics exams used as an admissions requirement for maths courses at Cambridge, Warwick and other universities.. The complete Sixth Term Examination Paper (STEP) outline — 7 subjects, 27 chapters and 148 topics — laid out so you can see exactly what has to be covered and tick each item off as you go.

7Subjects
27Chapters
148Topics
65Sub-topics
355Flashcards
~125hEst. first pass

Sixth Term Examination Paper (STEP) subjects

Each subject below has its own page with the full chapter → topic → sub-topic tree and a set of real exam-style flashcards.

Pure Mathematics: Algebra and Functions

4 chapters · 24 topics · 16 sub-topics

~20h first pass · 50 flashcards Pure Mathematics: Coordinate Geometry, Trigonometry and Complex Numbers

3 chapters · 19 topics · 9 sub-topics

~15h first pass · 49 flashcards Pure Mathematics: Calculus

5 chapters · 27 topics · 8 sub-topics

~20h first pass · 54 flashcards Pure Mathematics: Vectors and Matrices

3 chapters · 16 topics · 10 sub-topics

~15h first pass · 50 flashcards Mechanics

4 chapters · 20 topics · 12 sub-topics

~15h first pass · 51 flashcards Probability and Statistics

4 chapters · 22 topics · 8 sub-topics

~20h first pass · 51 flashcards Problem-Solving, Proof and Mathematical Reasoning

4 chapters · 20 topics · 2 sub-topics

~15h first pass · 50 flashcards

Sixth Term Examination Paper (STEP) flashcard decks

355 question-and-answer cards across 7 decks, written against this syllabus. Preview any deck free.

How to work through the Sixth Term Examination Paper (STEP) syllabus

The outline on this page is arranged the way the syllabus itself is: subject, then chapter, then topic, then sub-topic. That last level is what most study plans skip, and it is where coverage actually goes wrong — a chapter marked "done" often has three sub-topics inside it that were never touched.

Weight your plan accordingly: Pure Mathematics: Calculus carries 27 topics while Pure Mathematics: Vectors and Matrices carries 16. Giving both the same number of weeks is the most common planning mistake for Sixth Term Examination Paper (STEP).

The ~125 hour estimate above is a first pass only: roughly 45 minutes per topic plus 12 minutes per sub-topic. Revision cycles, past papers and mocks sit on top of that number.

Sixth Term Examination Paper (STEP) syllabus FAQ

What subjects are in the Sixth Term Examination Paper (STEP) syllabus?

Sixth Term Examination Paper (STEP) covers 7 subjects: Pure Mathematics: Algebra and Functions, Pure Mathematics: Coordinate Geometry, Trigonometry and Complex Numbers, Pure Mathematics: Calculus, Pure Mathematics: Vectors and Matrices, Mechanics, Probability and Statistics and Problem-Solving, Proof and Mathematical Reasoning. Together they contain 27 chapters and 148 named topics.

How many topics does the Sixth Term Examination Paper (STEP) syllabus contain?

The full Sixth Term Examination Paper (STEP) outline breaks down into 27 chapters, 148 topics and 65 sub-topics. Pure Mathematics: Calculus is the largest single subject with 27 topics across 5 chapters.

How long does it take to cover the whole Sixth Term Examination Paper (STEP) syllabus?

Roughly 125 hours for one full pass. That estimate allows about 45 minutes per topic plus 12 minutes per sub-topic, so it is first-pass coverage — revision, past papers and mock tests sit on top of it. At 3 hours a day that is about 6 weeks.

Are there Sixth Term Examination Paper (STEP) flashcards?

Yes — 355 question-and-answer flashcards across 7 decks, one per subject, written against this syllabus. A sample of every deck is readable on this site for free, and the complete decks are in the Examius app.

Is this Sixth Term Examination Paper (STEP) syllabus free to use?

Yes. Every page here is free to read, and importing the Sixth Term Examination Paper (STEP) syllabus into the Examius app to tick off topics as you finish them is free too, in United Kingdom and everywhere else. No account is needed to start.

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