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Worksheet: Scale Drawings and Models
Q2:
Every inch in a scale model of a car represents ft in reality. If a vehicle is ft long, how long is the scale model?
- A in
- B in
- C in
- D 9 in
Q3:
A magnified picture of an insect was taken with an enlargement ratio of . Determine the actual length of the insect if the insect’s length in the picture is 3.1 cm.
Q4:
A scale model of a building is 4.8 inches tall. If 2 inches on the model scale up to 25 feet in reality, determine the actual height of the building.
Q5:
A model of a tree is made using a scale of . Find the height of the actual tree if the height of the model is in.
- A ft
- B ft
- C 30 ft
- D 80 ft
Q6:
Jacob drew a map of his school using a scale of 1 inch for every 10 ft. Determine the distance with which the 800 feet between the playground and the boys restroom would be represented on the map.
Q7:
Determine the actual area of the given square which is drawn to a scale of 1 cm = 4 km.
Q8:
Given that the distance between two cities on a map is 4.4 cm and the actual distance between them is 26.4 km, what is the drawing scale of the map?
- A
- B
- C
- D
- E
Q9:
Complete the table.
| Drawing Distance | Real Distance | Scale | Magnification or Reduction |
|---|---|---|---|
| 4.2 dm | 30 km |
- A , reduction
- B , magnification
- C , magnification
- D , reduction
Q10:
A map is scaled such that every in is equivalent to 50 mi. How many miles are represented by 4 inches on the map?
Q11:
Complete the table.
| Drawing Distance | Real Distance | Scale | Magnification or Reduction |
|---|---|---|---|
| cm | km |
- A7, reduction
- B70, magnification
- C7, magnification
- D70, reduction
Q12:
Consider the given figure.
State whether the following is true or false: There is a similarity transformation that would map circle to a position which makes it concentric with circle .
- Atrue
- Bfalse
What scale factor would dilate circle to circle ?
- A
- B
Q13:
A picture with width 13 mm and height 37 mm is magnified so that its width becomes 3.25 cm and height becomes cm. Find the value of .
Q14:
At a scary movie opening, a cardboard model of the monster was 9 inches tall. In the movie, the monster’s actual height was 53 feet. What was the scale of the model?
- A
- B
- C
- D
- E
Q15:
Find the scale factor of the smaller parallelogram to the bigger one in the given figure.
- A2
- B
- C3
- D
- E
Q16:
Determine the area of the given rectangle which is drawn to a scale of 1 in = 5 ft.
Q17:
A polygon has area 136. If the area is doubled, by what factor is each side increased?
- A2
- B
- C
Q18:
A photograph 18 inches by 33 inches was enlarged into a poster size picture with a scale factor of . Determine the dimensions of the poster.
- A
- B
- C
- D
- E
Q19:
The figure below shows a drawing of the floor plan of a house. The drawing scale is . What is the length and width of the real-life living room?
- A 16 m, 9 m
- B 64 m, 36 m
- C 12.8 m, 7.2 m
- D 6.4 m, 3.6 m
Q20:
An insect’s body is 9 centimeters long with 21-centimeter legs. Determine the length of its legs in a model where its body is 3 meters long.
Q21:
The table below shows some information about a scale drawing. Complete the missing details, including whether the drawing is a magnification or reduction from real life.
| The Drawing Distance | The Real Distance | The Scale | Magnification or Reduction |
|---|---|---|---|
| 66 cm | mm |
- A1, reduction
- B30, reduction
- C1, magnification
- D30, magnification
- E3, magnification
Q22:
Given a scale drawing, which of the following is equal to the scale?
- A
- B
- C
- D
Q23:
A map is drawn with a drawing scale of . If the actual distance between two cities is 76 km, determine the distance between them on the map.
Q24:
A rectangular picture with width 20 mm and height 61 mm is magnified to 4 cm by 12.2 cm. What is the magnification ratio?
- A
- B
- C
- D
Q25:
William is drawing a map to a scale of . If the distance between two cities on the map is 4.5 cm, find the actual distance between them in kilometers.