Mathematics (9-1) - 0980 CIE

Scale Drawings

Overview

You cannot fit a country onto a sheet of paper, so maps and plans shrink the real world by a fixed amount. A scale tells you exactly how much: how many real metres or kilometres each centimetre on the drawing stands for. Read the scale correctly and a drawing becomes a precise calculator for real distances.

In this lesson you will interpret scales written as ratios and as statements, convert confidently between drawing lengths and real lengths, and work with three-figure bearings, the directions measured clockwise from north that pilots and sailors use every day.

Objectives

  1. Draw and interpret scale drawings.
  2. Use and interpret three-figure bearings.

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Lesson Note

Scale drawings are how the large world is captured on a small page. Maps, floor plans, garden designs and engineering drawings all use a scale so that real distances can be measured straight off the paper. Add bearings, and you can describe not just how far but in which direction, which is the foundation of all navigation.

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Lesson Evaluation

Congratulations on completing the lesson on Scale Drawings. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

  1. On a map with scale 1 : 50000, two points are 4 cm apart. What is the real distance? A. 200 m B. 500 m C. 2 km D. 20 km Answer: C
  2. A plan uses the scale 1 cm represents 5 m. A wall drawn 7 cm long is really: A. 12 m B. 35 m C. 57 m D. 75 m Answer: B
  3. What is the bearing of due west? A. 090 B. 180 C. 270 D. 360 Answer: C
  4. A bearing of 045 degrees points roughly towards the: A. north-east B. south-east C. south-west D. north-west Answer: A
  5. A scale is written 1 : 50000. How many centimetres in real life does 1 cm on the map represent? A. 500 B. 5000 C. 50000 D. 500000 Answer: C

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