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Pure Mathematics 4

Veridian Maths

Pure Mathematics 4, complete — 12 lessons covering proof by contradiction, partial fractions (decomposition and integration), parametric equations (conversion and domain/range), implicit and parametric differentiation (tangents and normals), vectors (position vectors, distance, foot of perpendicular, scalar product, angle-finding, skew/parallel/intersecting lines), volume of revolution, binomial expansion for rational n, integration by parts and by substitution, separable differential equations, the area under a parametric curve, and a standing paper-anatomy reference card — sourced against the real spec, formula booklet and examiner reports.

11.8 hrs of reading

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Diagnostic

One or two questions per skill — a map of what's already solid before you read lesson one.

Take the diagnostic

Tools

Read in this order: exam technique, then question bank, then technique masterclasses.

Exam technique

Every level exemplar, trap and judgement-call drill in the paper, grouped by kind.

Practice test

A real, timed reading view of the paper's structure — countdown visible, hands off into your score log.

Question bank

Every real past-paper question this course has mined — real mark scheme, real examiner report, and our own leveled analysis of how to answer it.

Technique Masterclasses

How to answer every real tariff on this paper, a definitions/formula reference, KAA and evaluation guides, and topic frequency — grounded in this paper's own mark schemes and examiner reports.

Topic frequency

How often each topic has actually anchored a real exam question — counted from this course's own research, not assumed.

Spec coverage

Every real spec point, matched to the lesson that covers it — any gap flagged, not hidden. Rate your own confidence per point.

AI study partner

A copy-paste prompt that marks your work against this paper's own real mark-scheme structure and named traps — not a generic rubric.

Practice bank

Every question in the paper, filterable to one spec section when you know what you're bad at.

Certificate

Earned by attempting every spec section and logging one real past-paper result — not by a score.

Condensed sheet

Every method, trap and reference card on one printable page, with a self-test mode.

Glossary

Every term the lessons link to, defined in one alphabetised page.

Review

Every deck, one session — spaced repetition on the cards you've already met, scheduled by FSRS.

Contents

In reading order. Modules open; ticks are lessons you’ve finished.

Review your decks