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CAPE Pure Mathematics

Algebra, functions, trigonometry and calculus for the CXC CAPE exam (pre-university, Caribbean).

6 skillsUNI
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial team

About CAPE Pure Mathematics on DigiTransact Mastermind

Algebra, functions, trigonometry and calculus for the CXC CAPE exam (pre-university, Caribbean).

Skill-by-skill mastery

Each of the 6 CAPE Pure Mathematics skills carries its own SmartScore from 0 to 100, so progress is measured per topic rather than as one overall grade.

An explanation every time

All 44 CAPE Pure Mathematics questions come with the written reasoning behind the answer, so a wrong attempt still teaches the method.

Sorted by level

CAPE Pure Mathematics work is filed under University, so you only see sets that match the stage you are studying.

Education levels covered

University

Tertiary and college foundations - Advanced study

6 CAPE Pure Mathematics skills at this level

Relevant curricula and exams

Based on the education levels this subject covers on the platform.

Tertiary foundation coursework
First-year and access-course level study

Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.

Learning outcomes

After working through the CAPE Pure Mathematics practice sets you should be able to:

  • Algebra & Functions: Indices, surds, quadratics, inequalities and the factor theorem for CAPE Unit 1.
  • CAPE-style Paper 1 — Set A: Multiple-choice practice in the style of CAPE Pure Mathematics Unit 1 Paper 1.

Sample questions

Real questions taken from the CAPE Pure Mathematics question bank, shown with the working learners see after answering.

From Algebra & Functions — CAPE Unit 1 Topics
Question

Simplify: (√3 + √2)(√3 − √2).

  • 1
  • 5
  • √6
  • 2√6
Answer: 1

Working: Difference of squares: 3 − 2 = 1.

From CAPE-style Paper 1 — Set A — CAPE Past Questions Practice
Question

If f(x) = 2x + 3 and g(x) = x², then fg(2) = ___.

  • 11
  • 49
  • 25
  • 7
Answer: 11

Working: g(2) = 4; f(4) = 2(4) + 3 = 11.

Main topics and skills

CAPE Pure Mathematics is organised into 2 topic groups covering 6 practice skills. Open any skill to read the guide and start a practice set.

Exams CAPE Pure Mathematics practice prepares you for

Each page below sets out what the examination covers and links straight back to the cape pure mathematics skills that feed into it.

Related study guides

Frequently asked questions

What stage of school does CAPE Pure Mathematics suit?

CAPE Pure Mathematics currently covers University. Every skill carries its own level tag, so you can start at the stage you are studying and move up once the earlier work is secure.

How is CAPE Pure Mathematics organised here?

The CAPE Pure Mathematics bank is grouped into 2 groups such as CAPE Unit 1 Topics and CAPE Past Questions Practice, and every group breaks down further into separate skills.

How many CAPE Pure Mathematics questions are there?

The bank holds 44 CAPE Pure Mathematics questions spread over 6 skills, each one paired with the reasoning behind the correct answer.

Can I revise for tertiary coursework with this?

The CAPE Pure Mathematics skills are grouped by the levels sat for tertiary coursework, and they are labelled Tertiary foundation coursework. Filter by level to focus on the stage you are being examined on.

Can I read CAPE Pure Mathematics pages without signing in?

No account is needed to read a CAPE Pure Mathematics skill page. Create a free one when you want progress kept between visits rather than starting again each time.

Related subjects

Free cape pure mathematics courses to watch alongside

Full video courses from universities and educators, free to watch and listed on their own pages here.

How this page was produced

This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.

Written by
DigiTransact Mastermind editorial team
Human review
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Ready to master CAPE Pure Mathematics?

Pick any of the 6 CAPE Pure Mathematics skills above, answer the questions and watch your SmartScore climb.