Proportions & Scale Factors

Proportions
&
Objects at scale

Multiple Choice

Write the ratio as a fraction in simplest form.
15 girls to 6 boys   

• 5 to 2
• 5/3
• 3 to 5
• 5/2

Multiple Choice

Do the ratios form a proportion?

• Yes, they form a proportion.
• No, they do not form a proportion.

Multiple Choice

Solve the proportion.

• n=6
• n=24
• n=7
• n=8

Multiple Choice

What is the ratio of red apples to green apples

• 7 apples to 3 green
• 4 red apples to 7 apples
• 4 red apples to 3 green apples
• 3 green apples to 4 red apples

Multiple Choice

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?

• $12
• $1.50
• $3
• $1

Multiple Choice

It takes one pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

• 3

• 6

• 9

• 12

Multiple Choice

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 1,200 people are in line?

• 120 min

• 140 min

• 160 min

• 180 min

Multiple Choice

Mary had saved $17.50 in the past 3 weeks. At this rate, how much will she save in 15 weeks?

• 67.50

• 40.00

• 87.50

• nothing

Multiple Choice

A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

• 24 Weeks
• 24-ounce bottle
• 10.6 Weeks
• 10.6-ounce bottle

Multiple Choice

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?

• 39 Computers
• 4.3 Homes
• 39 Homes
• 4.3 Computers

Multiple Choice

A bird flies 35 meters in 10 seconds.  If it keeps flying at the same rate, how long will it take it to fly 14 more meters?  

• x = 49 seconds
• x = 4 meters
• x = 49 meters
• x =  4 seconds

Multiple Choice

Mary had saved $17.50 in the past 3 weeks. At this rate, how much will she save in 15 weeks?

• 67.50

• 40.00

• 87.50

• nothing

Multiple Choice

What is the formula for scale factor?

• $$\frac{new}{old}$$

• $$\frac{old}{new}$$

Multiple Choice

If the scale factor is less than one, the new figure will be

• an enlargement
• a reduction
• a scale factor
• bigger

Multiple Choice

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional

Multiple Choice

What is the scale factor from triangle ABC to triangle DEF?

• 1/2
• 7/3
• 2/1
• 10/3

Multiple Choice

What is the scale factor from the large triangle to the small triangle?

• 1/2
• 2/3
• 3/4
• 2

Multiple Choice

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

Multiple Choice

A model is built to a scale of 1 ft ∶ 10 ft. If a model airplane is 3 feet long, how long is the actual plane?

• 13 ft
• 30 ft
• 3 ⅓

Multiple Choice

The two rectangles are scale drawings. What is the measurement of x?

• 21
• 1.25
• 20
• 4

Multiple Choice

What is the ratio of the side lengths of XYZ:ABC?

• 1.25
• 1.5
• 2
• 2.5

Multiple Choice

How long is side x?

• 3
• 1.5
• 8
• 2/3

Math Response

What's the scale factor (the # you MULTIPLY by) to go from Quad EFGH to Quad JKLM?

Type answer here

Correct Answer: 2

Deg^°

Rad

Math Response

What's the scale factor (the # you MULTIPLY by) to go from Polygon N to Polyton P?

Type answer here

Correct Answer: \frac{5}{2}

Deg^°

Rad

Multiple Choice

The scale drawing of the car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet
• 16 feet 
• 10 feet
• 4 feet

Multiple Choice

In a scale drawing of his room, Colin used each inch to represent 10 feet. What is the scale factor from his drawing to his actual room?

• 10

• 1/10

• 9

• 11

Multiple Choice

Picture: 3 cm

Actual: 12 ft.

What is the scale factor?

• $$36$$

• $$4$$

• $$\frac{1}{4}$$

• $$15$$

Multiple Choice

What is the scale factor from the smaller quadrilateral to the larger?

• scale factor = 4
• scale factor = 10
• scale factor = 3
• scale factor = 2

Multiple Choice

What is the scale factor from ABCD to MNOP?

• 2/3
• 3/2
• 2
• 3

Multiple Choice

What is the scale factor from the small fry to the large fry?

• 1/3

• 48

• 4

• 3

Multiple Choice

Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____

• 39 inches
• 156 inches
• 38 inches
• 157 inches

Multiple Choice

Find side length X.

• 16
• 18
• 2.4
• 15

Multiple Choice

A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 

• 1.7 km
• 5 km
• 15 km
• 17 km 

Multiple Choice

Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?

• 25 inches
• 60 inches
• 1/30 inch
• 30 inches

Multiple Choice

If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?

• 300
• 4.8
• 3
• 4

Multiple Choice

On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?

• 42 inches = 1 mile
• 1 inch = 42 miles
• 40 inches = 1 mile
• 
  1 inch = 40 miles

Multiple Choice

Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____

• 39 inches
• 156 inches
• 38 inches
• 157 inches