UK, Cambridge, A Level and IB / A Level Year 13

Mathematics

Mathematics A Level Year 13: detailed curriculum by unit, chapters, skills, practice, and verification sources.

How it works

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

Back to year

Status

Cambridge-focused map - verify against the current syllabus code

Mathematics A Level Year 13: detailed curriculum by unit, chapters, skills, practice, and verification sources.

UK, Cambridge, A Level and IBA Level Year 13Mathematics

Detailed curriculum

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

Unit 1Curriculum2 chapters+

1. Pure Mathematics 3

16 points

Advanced functions

Modulus functions where applicable

Partial fractions

Logarithmic functions

Exponential functions

Numerical solution of equations

Advanced trigonometric identities

Differentiation techniques

Integration techniques

Parametric equations

Differential equations

Vectors in 2D/3D

Lines in vector form

Scalar product

Complex numbers where included in route

Loci and Argand diagrams where applicable

Theory, examples, and practice

2. Applied completion

14 points

Mechanics route:

Advanced kinematics

Equilibrium

Dynamics

Work and energy

Momentum

Circular motion where applicable

Statistics route:

Continuous random variables

Poisson distribution

Linear combinations

Sampling

Hypothesis testing

Interpretation of conclusions

Theory, examples, and practice

What you must know

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

1Pure Mathematics 3

2Applied completion

Recommended practice

Common mistakes

Worked examples

Homework and practice

Related daily material

Past papers and mock tests

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.Mock testsFor exam routes, keep timed practice and error review in the same study flow.

Sources and verification

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

Last reviewed: 2026-05-15

UK, Cambridge, A Level and IB / A Level Year 13

Mathematics

Mathematics A Level Year 13: detailed curriculum by unit, chapters, skills, practice, and verification sources.

How it works

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

Back to year

Status

Cambridge-focused map - verify against the current syllabus code

Mathematics A Level Year 13: detailed curriculum by unit, chapters, skills, practice, and verification sources.

UK, Cambridge, A Level and IBA Level Year 13Mathematics

Detailed curriculum

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

Unit 1Curriculum2 chapters+

1. Pure Mathematics 3

16 points

Advanced functions

Modulus functions where applicable

Partial fractions

Logarithmic functions

Exponential functions

Numerical solution of equations

Advanced trigonometric identities

Differentiation techniques

Integration techniques

Parametric equations

Differential equations

Vectors in 2D/3D

Lines in vector form

Scalar product

Complex numbers where included in route

Loci and Argand diagrams where applicable

Theory, examples, and practice

2. Applied completion

14 points

Mechanics route:

Advanced kinematics

Equilibrium

Dynamics

Work and energy

Momentum

Circular motion where applicable

Statistics route:

Continuous random variables

Poisson distribution

Linear combinations

Sampling

Hypothesis testing

Interpretation of conclusions

Theory, examples, and practice

What you must know

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

1Pure Mathematics 3

2Applied completion

Recommended practice

Common mistakes

Worked examples

Homework and practice

Related daily material

Past papers and mock tests

NEXT STEP

Sources and verification

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

Last reviewed: 2026-05-15