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Quiz Chapter 4: Scale Drawings

10 questions · Form 3 Mathematics Bab 3: Scale Drawings

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. If a right-angled triangle has sides of 3 cm, 4 cm, and 5 cm in a scale drawing of scale 1 : 10, what is the length of its actual hypotenuse?

  1. 50 cm
  2. 30 cm
  3. 40 cm
  4. 500 cm
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Answer: A

The hypotenuse in the drawing is 5 cm. Actual hypotenuse = 5 cm × 10 = 50 cm.

2. If the scale of a map is 1 : 100, and a garden has an area of 5 cm² on the map, what is the actual area of the garden in square metres?

  1. 50 m²
  2. 5 m²
  3. 500 m²
  4. 5,000 m²
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Answer: A

Actual Area = Drawing Area × n² = 5 cm² × (100)² = 5 × 10,000 = 50,000 cm². Converting to m²: 50,00010,000 = 5 m².

3. A cell length of 0.02 mm is drawn with a length of 4 cm. What is the scale of the drawing in the form 1 : n?

  1. 1 : 200
  2. 1 : 0.005
  3. 1 : 20
  4. 1 : 500
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Answer: B

Convert 4 cm to mm = 40 mm. Scale ratio = Drawing : Object = 40 : 0.02 = 1 : (0.0240) = 1 : 0.0005 or 1 : 1200.

4. If a square has an actual perimeter of 40 cm and is drawn using a scale of 1 : 2, what is the perimeter of the scale drawing?

  1. 20 cm
  2. 10 cm
  3. 80 cm
  4. 5 cm
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Answer: A

Drawing Perimeter = Actual Perimeter / n = 402 = 20 cm.

5. Which of the following grid transformations results in a scale drawing with scale 1 : 3?

  1. Reducing each side grid length to 13 of its original length
  2. Tripling each side grid length
  3. Dividing the area by 3
  4. Subtracting 3 units from every side length
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Answer: A

A scale of 1 : 3 means every drawing dimension is 13 of the corresponding actual object dimension.

6. What is the general ratio representation used for scale drawings?

  1. n : 1
  2. 1 : n
  3. 1 + n
  4. 1 × n
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Answer: B

Scale drawings are expressed in the form 1 : n, where 1 represents the drawing length and n represents the actual object length.

7. A rectangular room measures 8 m by 6 m. If it is drawn using a scale of 1 : 100, what are its dimensions on the drawing?

  1. 8 cm by 6 cm
  2. 80 cm by 60 cm
  3. 0.8 cm by 0.6 cm
  4. 16 cm by 12 cm
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Answer: A

Convert dimensions to cm: 800 cm and 600 cm. Drawing length = 800100 = 8 cm; Drawing width = 600100 = 6 cm.

8. A map uses a scale of 1 : 50,000. If the distance between two towns on the map is 6 cm, calculate the actual distance in kilometres.

  1. 3 km
  2. 30 km
  3. 300 km
  4. 0.3 km
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Answer: A

Actual distance = 6 cm × 50,000 = 300,000 cm = 3,000 m = 3 km.

9. If a scale is given as 1 : n where n < 1, what can be deduced about the scale drawing relative to the actual object?

  1. The scale drawing is smaller than the object
  2. The scale drawing is larger than the object
  3. The scale drawing is the same size as the object
  4. The scale drawing has different angle measurements
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Answer: B

When n < 1 (e.g., 1 : 0.5), the drawing length is greater than the actual object length, meaning the drawing is enlarged.

10. An object side of length 12 cm is represented by 3 cm on a drawing. What is the scale ratio 1 : n?

  1. 1 : 3
  2. 1 : 4
  3. 1 : 12
  4. 1 : 36
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Answer: B

n = Object / Drawing = 123 = 4. Therefore, scale = 1 : 4.

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