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Maths•SHS Core: Functions, Variation & Sequences

Relations & functions

Senior High 6 questions
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial teamLast updated
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What relations & functions means

You learn how to put values into a rule and find the output it gives. You also see how one quantity can depend on another, which helps you read tables, graphs and simple change patterns.

What you will practise

  • Substitute given values into function rules
  • Find the value of f(x) for a chosen input
  • Read mapping diagrams and input-output pairs
  • Work out direct variation using a constant of proportionality
  • Check whether one quantity changes in step with another

Before you start

You should be comfortable with order of operations, simple algebra, and squaring numbers. It also helps if you can read basic tables and use symbols such as x and y.

Worked example

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

Question

If f(x) = 2x + 3, find f(4).

  • 9
  • 10
  • 11
  • 14
Answer: 11

Working: f(4) = 2(4) + 3 = 8 + 3 = 11.

Common mistakes to avoid

  • Putting the input in wrongly. Substitute the given number exactly where x appears.
  • Forgetting to square or multiply correctly. Work through each step carefully before giving the final value.
  • Mixing up direct variation with a fixed increase. Use y = kx and find k first.
  • Using the wrong input-output order in mappings. Check which number goes in and which one comes out.

Curriculum and exam alignment

Ghana GES SHS syllabusWASSCE

This topic normally appears in SHS algebra work on functions and variation. It supports questions at WASSCE level where you may need to evaluate a rule, interpret a mapping, or solve a direct variation problem.

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 SHS Core: Functions, Variation & Sequences skills in Maths, at the same point in the course.

Other Maths topics

Counting with PicturesPicture Addition & SubtractionEarly NumeracyNumber BasicsSHS Core MathematicsUniversity Mathematics

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Exams that assess relations & functions

Senior High work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.

WASSCEWASSCE practice questionsFree WASSCE practice across the subjects at this stage, with worked answers.GESGES practice questionsFree GES practice across the subjects at this stage, with worked answers.BECEBECE practice questionsListed as a related subject on the BECE practice page.

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
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Practise relations & functions

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

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