AQA•GCSE•Mathematics•Ratio, Proportion & Rates of Change
Scale drawings
AQA GCSE Mathematics practice questions with step-by-step solutions
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Sample Questions
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EasyQuestion 1
[3 marks]A scale drawing of a garden uses a scale of 1:100. If the length of the drawing is 5 cm, what is the actual length of the garden?
Solution for Question 1
MediumQuestion 2
[4 marks]A blueprint for a house shows the width of a room as 6 cm. If the scale of the blueprint is 1:20, what is the actual width of the room? If the room is 4 m long, determine the length of the room on the blueprint.
Solution for Question 2
HardQuestion 3
[6 marks]A model of a bridge is made with a scale of 1:250. If the model's length is 8 cm and its width is 3 cm, calculate the actual length and width of the bridge. If a car is 5 m long in reality, what length would it be on the model?
Solution for Question 3
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Generate Unlimited QuestionsAbout Scale drawings in AQA GCSE
Scale drawings are a fundamental part of geometry that involve representing real objects or distances in a reduced or enlarged format, maintaining the correct proportions. This subtopic is crucial in various fields, including architecture, engineering, and design, as it allows for accurate visualisation and planning without the need for actual physical dimensions.
A scale drawing uses a specific ratio or scale factor that describes how much the drawing has been scaled down or up from the original object. For example, a scale of 1:50 means that 1 unit on the drawing represents 50 units in reality. Understanding how to read and create scale drawings helps students develop spatial awareness and improve their problem-solving skills.
Key concepts include the definition of scale, scale factors, and how to calculate actual distances from scale drawings. Additionally, students should be familiar with converting units and using ratios effectively.
In UK exams, scale drawings often appear in a variety of formats, including interpreting scale drawings, calculating dimensions using scale factors, and applying knowledge to solve practical problems. Mastery of this topic is essential for achieving success in GCSE Mathematics, as it not only tests mathematical skills but also real-world application and reasoning abilities.
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