Skip to main content
DigiTransact Mastermind
CAPE Pure MathematicsCAPE Unit 1 Topics

Algebra & Functions

University 6 questions
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial team
Start practice

What algebra & functions means

Indices, surds, quadratics, inequalities and the factor theorem for CAPE Unit 1.

Worked example

One question from this skill's own question bank, shown with its full working.

Question

Simplify: (√3 + √2)(√3 − √2).

  • 1
  • 5
  • √6
  • 2√6
Answer: 1

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

Curriculum and exam alignment

Tertiary foundation coursework

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

Related skills

Other CAPE Unit 1 Topics skills in CAPE Pure Mathematics, at the same point in the course.

Other CAPE Pure Mathematics topics

Related study guides

Exams that assess algebra & functions

University work on this skill feeds directly into these exam papers. Each page lists the CAPE Pure Mathematics topics that appear on it.

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
Not yet. Subject-specialist review is scheduled; this page will say so once it has happened. See which content receives human review.

Spotted a mistake on this page? Report a content correction and we will check it against the source. You can also read our editorial policy and how we use AI and where it falls short.

Practise algebra & functions

6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.

Start practice