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 Foundation Tier Paper 2 CalculatorQuestion 15.1
    Medium2 marksStructured
    Ratio Proportion and Rates of Changegraphsrate of changegradientreal-life graphs

    AQA GCSE · Question 15.1 · Ratio Proportion and Rates of Change

    02040608010012014016018020022024005101520253035404550Time (minutes)Volume of water (litres)

    The graph represents the volume of water in a bath. The bath is full after 10 minutes. Work out the rate at which the bath is filled. State the units of your answer.

    How to approach this question

    1. The rate is the gradient (steepness) of the line. 2. Gradient = (change in y) / (change in x). 3. From the graph, identify two points on the line. The easiest are (0, 0) and the end point (10, 240). 4. The change in y (Volume) is 240 - 0 = 240 litres. 5. The change in x (Time) is 10 - 0 = 10 minutes. 6. Calculate the rate: Rate = 240 litres / 10 minutes. 7. The rate is 24 litres/minute. 8. State the units, which are litres per minute.

    Full Answer

    24 litres per minute (or 24 l/min)
    The rate at which the bath is filled is the gradient of the line on the graph. The gradient is calculated as the "rise" (change in vertical axis) divided by the "run" (change in horizontal axis). From the graph: - At time = 0 minutes, the volume is 0 litres. - At time = 10 minutes, the bath is full, and the volume is 240 litres. Change in volume (rise) = 240 - 0 = 240 litres. Change in time (run) = 10 - 0 = 10 minutes. Rate = Change in volume / Change in time Rate = 240 litres / 10 minutes Rate = 24 litres per minute. The units are taken from the axes labels: litres for the vertical axis and minutes for the horizontal axis.

    Common mistakes

    ✗ Dividing time by volume instead of volume by time (10/240). ✗ Reading the values from the axes incorrectly. ✗ Forgetting to state the units or giving incorrect units.
    Question 14All questionsQuestion 15.2

    Practice the full AQA GCSE Maths Foundation Tier Paper 2 Calculator

    45 questions · hints · full answers · grading

    Sign up freeTake the exam

    More questions from this exam

    Q01.1A linear sequence starts: 4, 7, 10, 13. Write down the next number in this sequence.EasyQ01.2A different linear sequence starts: 19, 14, 9, 4. Write down the next number in this sequence.EasyQ01.3Here is another sequence: 3, 6, 12, 24. Write down the term-to-term rule for this sequence.EasyQ02.1Here is a price list. Work out the cost of three candles.EasyQ02.2Sal has £7.50. He wants to buy one soap and one body cream. Does he have enough money to also buy...Easy
    View all 45 questions →