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 17
    Medium3 marksStructured
    Ratio Proportion and Rates of Changescalemapsratiounits conversion

    AQA GCSE · Question 17 · Ratio Proportion and Rates of Change

    A map has a scale of 1 : 4000. On the map, the distance from a station to a museum is 7 cm. Is the actual distance from the station to the museum more than 300 m? Show working to support your answer.

    How to approach this question

    1. Understand the scale: 1 : 4000 means 1 unit on the map represents 4000 units in reality. 2. The map distance is 7 cm. 3. Calculate the actual distance in cm: 7 cm * 4000 = 28000 cm. 4. Convert the actual distance to metres. There are 100 cm in 1 m, so divide by 100. 5. 28000 cm / 100 = 280 m. 6. Compare this result to 300 m. Is 280 m more than 300 m? No. 7. State your conclusion.

    Full Answer

    Step 1: Calculate the actual distance using the scale. The scale is 1 : 4000. This means that 1 cm on the map represents 4000 cm in real life. The distance on the map is 7 cm. Actual distance in cm = 7 × 4000 = 28 000 cm. Step 2: Convert the actual distance to metres. We know that 1 metre = 100 centimetres. To convert from cm to m, we divide by 100. Actual distance in m = 28 000 / 100 = 280 m. Step 3: Compare the actual distance to 300 m. The question asks if the actual distance is *more than* 300 m. Our calculated distance is 280 m. 280 m is less than 300 m. Therefore, the actual distance is not more than 300 m. The answer is No.

    Common mistakes

    ✗ Multiplying by 100 instead of dividing to convert cm to m (or vice versa). ✗ Making a calculation error in the multiplication. ✗ Calculating correctly but making the wrong conclusion (e.g., writing "Yes" after finding 280 m).
    Question 16All questionsQuestion 18

    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 →