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Cambridge Mathematics

Cambridge IGCSE Mathematics — Extended

Develop fluent algebra and multi-step reasoning for Cambridge IGCSE Extended mathematics, with focused correction and mixed practice.

IGCSE Extended
TrackCambridge Mathematics
LevelIGCSE Extended
FocusStronger topic understanding
Algebraic structure Functions and graphs Geometry and trigonometry Probability and data Mixed problem solving
What do the course name and level mean?

IGCSE is an international secondary qualification. In IGCSE Mathematics, Extended includes Core content plus extra topics or depth. This Core/Extended split is not the Computer Science route structure. AS means Advanced Subsidiary and A Level means Advanced Level; A Level has broader and deeper content. Match the subject, specification code and exam year to your school entry.

See the guide to course names, levels and codes →

Who should take IGCSE Extended?

Students entered for Extended mathematics who want to connect methods and handle unfamiliar exam questions.

Students who can share recent work so practice targets the first uncertain step.

Learners who want guided explanations followed by independent attempts.

IGCSE Extended learning plan

A tutoring overview, adapted to your starting point and school or institution requirements. Confirm the specification, entry route and assessment year before selecting exam materials.

Official course information and current requirements ↗

01

Algebraic structure

Develop factorisation, equations and manipulation so longer problems do not break down at an early algebraic step.

02

Functions and graphs

Connect symbolic and graphical representations and interpret solutions in the question’s context.

03

Geometry and trigonometry

Choose a method from a labelled diagram, combine relationships and justify intermediate results.

04

Probability and data

Translate information into organised representations and check assumptions before computing a result.

05

Mixed problem solving

Recognise when a question links several topic families and plan the order of the working.

How we work on IGCSE Extended

Given a rectangle whose side lengths are expressed using x, form an area equation, solve it and reject any root that cannot represent a length. Explain the restriction, rather than reporting both roots.

The next question changes the numbers or conditions so you can check whether the idea transfers to a new situation.

Practice and assessment preparation

1

Check the school’s syllabus code and exam session; Extended is a route within the qualification, not a separate board.

2

Use mixed and timed practice only after prerequisite methods are secure, reviewing explanations as well as answers.

Teaching plan

  • Start with the course outline, a recent marked task and a question the student finds difficult.
  • Teach one priority concept, then ask the student to explain a related example without copying a solution.
  • Set a short practice task and record the first incorrect step, its correction and a question to retry.
  • Review progress through mixed questions and adjust the pace to demonstrated understanding.

Common questions about IGCSE Extended

Choosing lessons and preparing for your first session.

01

Who are these lessons for?

Students entered for Extended mathematics who want to connect methods and handle unfamiliar exam questions.

02

What should I send before the introductory session?

Send your course name, topic list, a recent marked task and your assessment date. For an exam course, include the board, specification code and year of entry.

03

Is this a fixed syllabus or a personalised plan?

The topic map is a teaching overview. We agree the exact coverage from your school or institution materials and the gaps shown in your work.

04

How is progress reviewed?

We use a new question to check understanding, review the steps you can explain independently and compare recurring mistakes across practice attempts. The next lesson follows that evidence.

What students build in IGCSE Extended

Stronger topic understanding Clear reasoning Independent practice A focused next-step plan

Start with a route check, not guesswork.

Bring the student's current syllabus, recent test, or university target. The introductory session can confirm whether IGCSE Extended is the right path and where to begin.