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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. In a scale drawing with scale 1 : 20, the drawing area is 15 cm². What is the actual area in cm²?

  1. 300 cm²
  2. 6,000 cm²
  3. 3,000 cm²
  4. 1,200 cm²
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Answer: B

Actual area = Area of drawing × n² = 15 × (20)² = 15 × 400 = 6,000 cm².

2. 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.

3. A scale is given as 1 : 14. What is the length of the scale drawing if the actual length of the object is 8 cm?

  1. 2 cm
  2. 32 cm
  3. 16 cm
  4. 4 cm
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Answer: B

Drawing Length = Object Length / n = 8 / (14) = 8 × 4 = 32 cm.

4. Which property remains completely unchanged when an object is drawn to scale?

  1. Perimeter
  2. Area
  3. Interior angles
  4. Side lengths
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Answer: C

Angles are invariant in scale drawings; corresponding angles in a scale drawing are identical to those in the original object.

5. 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.

6. A drawing length of 4 cm represents an actual length of 20 cm. What is the scale of the drawing?

  1. 1 : 4
  2. 1 : 80
  3. 1 : 5
  4. 1 : 0.2
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Answer: C

Scale = 1 : n where n = Actual / Drawing = 204 = 5. Thus, the scale is 1 : 5.

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 triangular plot of land has a drawing area of 12 cm² on a map with a scale of 1 : 500. Calculate the actual area in square metres.

  1. 300 m²
  2. 3,000 m²
  3. 30,000 m²
  4. 600 m²
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Answer: A

Actual Area = 12 cm² × (500)² = 12 × 250,000 = 3,000,000 cm². Converting cm² to m²: divide by 10,000 = 300 m².

9. A scale drawing is drawn with a scale of 1 : 1. Which statement is true?

  1. The drawing is twice the size of the object
  2. The drawing is half the size of the object
  3. The drawing is congruent to the actual object
  4. The area of the drawing is zero
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Answer: C

When n = 1, dimensions and angles are identical, so the scale drawing is congruent to the actual object.

10. 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.

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