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Scale drawings – practice for Years 7–9

Sample questions on Scale drawings with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 7–9
Curriculum area
Relationships, functions and data

Question types: Scale drawings

Rule: Scale drawings

A scale of 1 : 500 means 1 cm on the plan = 500 cm = 5 m in reality.

To reality you multiply, to the plan you divide. Areas change with the square: 1 cm² = 5 × 5 = 25 m².

Example: 4 cm on a 1 : 500 plan: 4 × 500 = 2000 cm = 20 m

Watch out: Watch the units: change a result in centimetres into what the question asks for (m, km).

Sample questions

  1. Question 1 Easy

    On a plan with a scale of 1 : 50, a wall of a house is 14 cm long. How long is it in real life? Give the answer in metres.

    Show the solution
    Answer: 7 m

    How it works: 14 cm × 50 = 700 cm = 7 m

  2. Question 2 Normal

    A garden is 13.5 m long. How long will it be on a plan with a scale of 1 : 100? Give the answer in centimetres.

    Show the solution
    Answer: 13.5 cm

    How it works: 13.5 m = 1350 cm; 1350 ÷ 100 = 13.5 cm

  3. Question 3 Hard

    On a plan with a scale of 1 : 100, a plot of land has an area of 27 cm². What is its real area in m²?

    Show the solution
    Answer: 27 m²

    How it works: 1 cm on the plan = 1 m, so 1 cm² on the plan = 1 × 1 = 1 m²; 27 × 1 = 27 m²

Related topics

All Maths topics

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