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Quiz Chapter 4: Scale Drawings

10 questions · Form 3 Mathematics Bab 3: Scale Drawings

Question 1 of 10Score: 0

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

Full Question List & Answer Key

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1. 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.

2. A bridge of actual length 150 m is drawn to a scale of 1 : 3,000. Calculate the length of the bridge on the drawing in centimetres.

  1. 5 cm
  2. 50 cm
  3. 0.5 cm
  4. 500 cm
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Answer: A

Actual length = 150 m = 15,000 cm. Drawing length = 15,0003,000 = 5 cm.

3. 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.

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 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.

6. 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.

7. 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.

8. 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.

9. The height of a building on a blueprint drawn with a scale of 1 : 200 is 15 cm. What is the actual height of the building in metres?

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

Actual length = 15 cm × 200 = 3,000 cm. Converting to metres: 3,000100 = 30 m.

10. 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.

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