A-level Maths Proof: AQA-style workbook, practice papers and lessons

A-level Maths Proof Complete Pack (AQA, Edexcel, OCR): 158 questions, 25 worked examples, 2 practice papers and 8 full PowerPoint lessons.

The language of proof, proof by deduction, exhaustion and contradiction, disproof by counter-example, and proof across pure topics: model proofs written to the mark scheme, spot-the-flaw practice and exam-style questions.

What is in the pack

8 complete lessons (PowerPoint, 35 to 42 slides each): retrieval starter, objectives, key ideas, worked examples revealed step by step, mini-whiteboard questions, exam-style practice, an exit ticket and speaker notes on every slide.

Workbook (73 pages): teaching pages, 158 questions graded Foundation, Developing and Exam standard, 25 fully worked examples, a diagnostic, a mistake clinic and retrieval quizzes.

Answer edition (61 pages) with full worked solutions and mark tags, and 2 timed practice papers (49 and 50 marks) with separate mark schemes.

Also included: a knowledge organiser with key diagrams, double-sided flashcards, an illustrated teacher guide with a lesson-by-lesson plan, and editable Word versions of everything. 13 exact diagrams and graphs throughout.

Topics covered

The language of proof; Proof by deduction: odd, even and consecutive integers; Proof by deduction: divisibility; Proof by deduction: inequalities; Proof by exhaustion; Disproof by counter-example; Proof by contradiction; Proof across pure topics.

How to use it

Teach each topic with its lesson deck, set the matching workbook section, and let students self-mark with the answer edition. The timed papers work well as mocks or end-of-topic tests. Word and PowerPoint files are fully editable.

Please note

Written for the proof content common to A-level Mathematics specifications from AQA (7357), Pearson Edexcel (9MA0) and OCR (H240): proof by deduction, proof by exhaustion, disproof by counter-example and proof by contradiction, including the irrationality of √2 and the infinity of primes. Proof by contradiction is A-level only: it is not in AS Mathematics (AQA 7356, Edexcel 8MA0, OCR H230), so it is usually taught in Year 2. All three boards define ℕ as {1, 2, 3, …}; this pack writes “positive integer” wherever it matters. Section 9 uses content from other topics (double angle formulae, sec, cosec and cot, series, differentiation from first principles): check your specification for where each sits in your course. Independent resource, not endorsed by any exam board.

Mark schemes use Study Hack’s own mark tags and are not an exam board mark scheme. Independent resource, not endorsed by any exam board. All questions are original Study Hack material.