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UK, Cambridge, A Level and IB / A Level Year 12

Mathematics

Mathematics A Level Year 12: detailed curriculum by unit, chapters, skills, practice, and verification sources.

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Start from the board specification and work topic by topic before full papers.

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Cambridge-focused map - verify against the current syllabus code

Mathematics A Level Year 12: detailed curriculum by unit, chapters, skills, practice, and verification sources.

UK, Cambridge, A Level and IBA Level Year 12Mathematics

Detailed curriculum

The syllabus is split into units, chapters, and small subtopics so students can see what is covered and what remains.

Unit 1Curriculum3 chapters+

1. Pure Mathematics 1

18 points
Quadratics
Inequalities
Functions
Graph transformations
Coordinate geometry
Circular measure
Radians
Arc length
Sector area
Trigonometric identities
Trigonometric equations
Binomial expansion in AS scope
Series where applicable
Differentiation
Tangents and normals
Stationary points
Integration
Area under a curve
Theory, examples, and practice

2. Applied option: Mechanics

5 points
Forces and equilibrium
Kinematics of motion in a straight line
Newton's laws
Work, energy and power
Momentum
Theory, examples, and practice

3. Applied option: Probability & Statistics 1

6 points
Data representation
Permutations and combinations
Probability
Discrete random variables
Binomial distribution
Normal distribution
Theory, examples, and practice

What you must know

These skills are the practical checklist before a test, lesson request, or tutor session.

1Pure Mathematics 1
2Applied option: Mechanics

Recommended practice

Common mistakes
Worked examples
Homework and practice
Related daily material

NEXT STEP

Find a tutorOpen tutors matched to this subject and continue with a profile or message.Post a lesson requestDescribe the year, chapter, and goal so the right tutors can respond.Daily materialOpen daily explainers, exercises, and practical posts without mixing them with study guides.

Sources and verification

Based on Cambridge IGCSE / Cambridge International AS & A Level syllabus structures.

Last reviewed: 2026-05-15

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