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Quiz Chapter 4: Scale Drawings

10 questions · Form 3 Mathematics Bab 3: Scale Drawings

Question 1 of 10Score: 0

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?

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 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.

2. 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.

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 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.

5. 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.

6. 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.

7. 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.

8. The actual distance between two grid points is 25 km. On a map, this distance measures 5 cm. What is the scale of the map?

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

Actual distance = 25 km = 2,500,000 cm. n = 2,500,0005 = 500,000. Scale = 1 : 500,000.

9. 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.

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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