Scale Drawings

75

A map of Utah has a scale of 1 inch to 75 miles. Another map has a scale of 1 inch to 100 miles. Which map is larger? The one with a scale of 1 inch to ? miles

80

A model airplane is built at a scale of 1 to 120. If the model plane is 8 inches long, how many feet long is the actual airplane?

6.25

A model airplane is built at a scale of 1 to 15. If the model car is 5 inches long, how many feet long is the actual airplane?

48

A model airplane is built at a scale of 1 to 72. If the model plane is 8 inches long, how many feet long is the actual airplane?

5

A rectangle with a length of 11.5 cm and a width of 10 cm is changed by a scale of 1 to 50. What is the width of the new shape, in meters?

24

A rectangle with a length of 12 and a width of 8 are scaled by a scale factor of 3. What is the width of the new shape?

10

A rectangle with a length of 12 inches and a width of 10 inches is changed by a scale of 1 of 10. What is the length of the new shape, in feet?

7.5

A rectangle with a length of 5 and a width of 2 is scaled by a scale factor of 1.5. What is the length of the new shape?

36

A square has a side length of 3 units. A copy is made of the square using a scale factor of 2. What is the area of the copy, in units squared?

14.4

An equilateral triangle is changed by a scale factor of 12. If one of the sides of the original triangle was 1.2 cm, how big is the side after it is scaled, in cm?

4.5

An equilateral triangle with side lengths 9 has a scale copy. The scale factor is 1/2. What are the copy's side lengths?

9

Elena finds that the area of a house on a scale drawing is 50 square inches. The actual area of the house is 4,050 square feet. What is the scale of the drawing? 1 to ?

6

If the area is 36 times bigger, what is the scale factor?

1/4

If the scale factor is 1/2, how many times bigger is the area?

144

If the scale factor is 12, how many times bigger is the area?

324

If the scale factor is 18, how many times bigger is the area?

4/9

If the scale factor is 2/3, how many times bigger is the area?

40,000

If the scale factor is 200, how many times bigger is the area?

81

If the scale factor is 9, how many times bigger is the area?

87.5

On a map, 2 inches is 35 miles. Marking City is 5 inches away from Jamming City on the map. What is the actual distance between the two cities, in miles?

18

On a map, 2 inches is 35 miles. The distance between Troy City and Ben City is 315 miles. How far apart are they on the map, in inches?

15

One map of Illinois has a scale of 1 cm to 50 cm. Another has a scale of 1cm to 15 cm. Which map is larger? The map with a scale of 1cm to ? cm

47

Original angle measure: 47 degrees Scale Factor: 3/2 New angle measure: ? (in degrees)

5

Original angle measure: 5 degrees Scale Factor: 2 New angle measure: ? (in degrees)

125

Original side length: 100 inches Scale Factor: 15 Corresponding side length: ? (in feet)

9.5

Original side length: 19 cm Scale factor: 1/2 Corresponding side length: ? (in cm)

8.75

Original side length: 35 m Scale factor: 1/4 Corresponding side length: ? (in m)

2.25

Original side length: 36 Corresponding side length: 81 Scale Factor: ?

63

Quadrilateral Q is a scaled copy of Quadrilateral P with a scale factor of 7. Quadrilateral P has a perimeter of 9. What is the perimeter of Quadrilateral Q?

1

REVIEW QUESTION: Combine like terms! 4x + 7 - 4x - 6

3

Rectangular A has length of 20 and a width of 12. If Rectangular B is a scaled copy and has a length of 5, what must the width be?

72

Russell Westbrook is drawn at a scale of 1 to 4. If the drawing is 1.5 feet tall, how many inches in real life is Russell Westbrook?

1,210

Scale 1 to 55. Original side length: 22 feet Corresponding side length: ? (in feet)

12.5

Scale: 1 cm = 5 ft A room is 2.5 cm wide on a blueprint. How many feet would this be?

50

Scale: 1 cm = 5 miles How far in miles is City A from City B if they are 10 cm away from one another on the map, in miles?

180

Scale: 1 inch to 45 feet Original side length: 4 inches Corresponding side length: ? (in feet)

30

Scale: 1 to 300 A wall is 10 cm high on a drawing. How high is it in real life, in m?

60

Scale: 1 to 5 Original length 12 miles New length: ? miles

0.84

Shaquille O'Neal is drawn at a scale of 1 to 100. If He is 7 feet in real life, how big will the drawing be, in inches?

0.7

Taylor Swift is drawn at a scale of 1 to 8. If Taylor Swift is 5.6 feet in real life, how tall will the drawing be, in feet?

165

The scale of a baseball bat to its enlarged replica is 2 inches to 10 feet. If a regular baseball bat is 33 inches, how tall would the replica be, in feet?

21

The scale of a map says that 3 cm represents 4 km. What distance on the map (in centimeters) represents an actual distance of 28 kilometers?

44

The scale of a map says that 3 cm represents 4 km. What is the actual number of kilometers that is represented by 33 centimeters on the map?

3.5

The scale on a map is 1/4 inch : 18 miles. The state capital is 252 miles from the border. How far is the state capital from the border on the map, in inches?

13.75

The scale on the blueprint of a house is 2 cm to 5 feet. If the length of a room on the blueprint of the house is 5.5 cm, how many feet long will the actual length be?

40

There are 2 maps of Utah. The scale on the first map is 1 cm to 20 km. The distance from St. George to is 20 cm. The scale on the second map is 1 cm to 10 km. What is the distance from Cleveland to Cincinnati on the second map (in cm)?

1/2

Triangle A has a side length of 18. The corresponding side length of Triangle B (a scaled copy) is 9. What is the scale factor?

1/7

What scale factor will produce a scaled copy that is 7 times smaller?

1/3

What scale factor will produce a scaled copy that is three times smaller?