AQA GCSE Mathematics Paper 3 (Foundation), June 2025: Question 6

3 marks · Easy difficulty · Short Answer

Identify the most suitable metric unit of length (centimetres, metres, or kilometres) for three everyday measurements.

Practise this question

Question

Question 6 asks: 'Which metric unit would be most suitable for each measurement? Tick one box for each.' A table presents three rows with measurement descriptions: 'Distance between two villages', 'Length of a pencil', and 'Height of a building'. Three columns provide checkboxes for the units: 'centimetres (cm)', 'metres (m)', and 'kilometres (km)'. It is worth 3 marks.

Mark scheme

Show the mark scheme Mark scheme for Question 6 shows correct ticks: 'Distance between two villages' ticks 'kilometres (km)', 'Length of a pencil' ticks 'centimetres (cm)', and 'Height of a building' ticks 'metres (m)'. Award B3 for all three correct, B2 for two correct, and B1 for one correct. Additional guidance states to accept any indication, but if a tick and cross are in the same row, mark the tick, and a row with more than one tick is incorrect.

How to answer it

Choosing Suitable Metric Units of Length

📋 What this question tests
  • Understanding everyday metric units of length: centimetres (cm), metres (m), and kilometres (km).
  • Selecting the most sensible and standard unit of measurement based on physical scale.
  • Carefully recording answers in a multiple-choice grid without disqualifying marks.

Question 6 (Total: 3 marks)

Identifying appropriate metric units for real-world distances

✅ Correct Answer Grid

Measurement centimetres (cm) metres (m) kilometres (km)
Distance between two villages ✔
Length of a pencil ✔
Height of a building ✔
Mark allocation:
• 3 correct: B3
• 2 correct: B2
• 1 correct: B1

💡 Key Knowledge: Everyday Benchmarks

Always compare the item to standard real-world references:

  • Centimetres (cm): Used for small, handheld objects (e.g., standard pencil ≈ 15 cm to 19 cm; a 30 cm school ruler).
  • Metres (m): Used for room-sized dimensions, people, and human-scale structures (e.g., door height ≈ 2 m; a 3-storey building ≈ 10 m).
  • Kilometres (km): Used for geographical distances travelled by vehicle or long walks (e.g., distance between settlements or towns ≈ several km; 1 km = 1000 m).

🧠 Exam Technique & Guidance

  • One tick per row: The question specifies: "Tick one box for each". Checking two boxes in the same row automatically scores zero for that row.
  • Clear corrections: If you change your mind, clearly cross out your first mark (e.g. put an X through it) and tick the intended box. The mark scheme confirms: "if a tick and a cross are used in the same row, mark the tick."
  • Think about practical numbers: Ask yourself: "Would I want to write this number with hundreds of thousands of zeroes?" A distance between towns would be millions of cm—unsuitable!

❌ Common Misconceptions & Traps

  • Confusing building height with town distances: Thinking a tall skyscraper is so huge it should be measured in kilometres. Even the world's tallest skyscraper (Burj Khalifa) is under 1 km (828 m), making metres the standard unit.
  • Over-ticking: Placing multiple ticks in a row hoping the examiner picks the right one. This forfeits the mark for that item entirely.
  • Selecting mm or inches: Always stick strictly to the columns given in the provided table.

Topics

Number · Geometry and measures · 3.1.3 Measures and accuracy · 3.4.2 Mensuration and calculation

Question and mark scheme from the AQA GCSE Mathematics examination, Paper 3 (Foundation), June 2025. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.