For IndividualsFor Educators
ExpertMinds LogoExpertMinds
ExpertMinds

Ace your certifications with Practice Exams and AI assistance.

  • Browse Exams
  • For Educators
  • Blog
  • Privacy Policy
  • Terms of Service
  • Cookie Policy
  • Support
  • AWS SAA Exam Prep
  • PMI PMP Exam Prep
  • CPA Exam Prep
  • GCP PCA Exam Prep

© 2026 TinyHive Labs. Company number 16262776.

    PracticeAQA GCSEAQA GCSE Maths Higher Tier Paper 3 CalculatorQuestion 05
    Easy2 marksShort Answer
    AlgebraHigherAlgebraFormulaeExpressions

    AQA GCSE · Question 05 · Algebra

    The total cost of a taxi ride is calculated by adding a fixed charge of £4 and a charge of £2 per mile. Write a formula to work out the total cost, £C, of a journey of m miles.

    How to approach this question

    1. Identify the variables: C for total cost and m for the number of miles. 2. Identify the fixed part of the cost, which does not change with the number of miles. 3. Identify the variable part of the cost, which depends on the number of miles. 4. Combine the fixed and variable parts to form the formula for C.

    Full Answer

    The problem describes how to calculate the total cost, C. We need to translate this description into a mathematical formula. The cost has two components: 1. A fixed charge of £4. This amount is paid regardless of the distance. 2. A charge of £2 per mile. This amount depends on the number of miles, m. For m miles, this charge is 2 × m, or 2m. The total cost, C, is the sum of these two components. Total Cost = Fixed Charge + (Charge per mile × Number of miles) C = 4 + 2m

    Common mistakes

    ✗ Writing 4m + 2 (mixing up the fixed and variable charges). ✗ Writing C = 4 + 2, forgetting the variable m. ✗ Writing an expression (4 + 2m) instead of a formula (C = 4 + 2m).
    Question 04All questionsQuestion 06

    Practice the full AQA GCSE Maths Higher Tier Paper 3 Calculator

    32 questions · hints · full answers · grading

    Sign up freeTake the exam

    More questions from this exam

    Q01Work out the reciprocal of 10/3. Give your answer as a decimal.EasyQ02.1The table shows information about the number of houses with solar panels in a town. Complete the ...EasyQ02.2Use the graph to estimate the number of houses with solar panels in 2023.EasyQ03.1A building in the shape of a cylinder has diameter 40 m and height 55 m. On the centimetre grid, ...MediumQ03.2On this centimetre grid, draw the front elevation of the building. Use a scale of 1 cm to 10 m.Medium
    View all 32 questions →