Proportion- Word Problems

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet
• 21 feet
• 27 feet
• 32 feet

Tags

CCSS.HSG.SRT.C.8

Two slices of Dan’s Famous Pizza have 230
Calories. How many Calories would you expect to be in 5 slices of the same pizza?

• 2.5 calories
• 575 calories
• 250 calories
• 460 calories

Tags

CCSS.6.RP.A.3B

A scale drawing of a flagpole has a scale of 1 in.= 4 ft. If the drawing of the pole measures 12 inches, how tall is the actual pole?

• 16 feet
• 3 feet
• 48 feet
• 9 feet

Tags

CCSS.7.G.A.1

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

• 87 km
• 216 km 
• 33 km
• 192 km

Tags

CCSS.7.G.A.1

#5 Which of the following is NOT true about similar figures?

• A) Similar figures always have the same shape.
• B) Similar figures always have the same size.
• C) Similar figures always have corresponding angles that are equal.
• D) Similar figures always have corresponding sides that are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A building is 20 feet tall and casts a 12 foot shadow, and a person who is standing right next to the building casts a 3 foot shadow, how tall would the person be?

• 15 feet
• 20 feet
• 2.5 feet
• 5 feet

Tags

CCSS.7.RP.A.3

The dimensions of a rectangular photograph are 6 inches by 4 inches. If the photograph is enlarged proportionally so that the length is 15 inches, what would the width of the enlarged photograph be?

• 4 inches
• 6 inches
• 10 inches
• 13 inches

Tags

CCSS.7.G.A.1

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

• 20 feet
• 24 feet
• 29 feet
• 51 feet

Tags

CCSS.HSG.SRT.B.5

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

• 14 in 
• 7 in
• 42 in
• 56 in

Tags

CCSS.7.RP.A.2C

Alexis is building a 2 ft. tall model of the Gateway Arch in St. Louis, Missouri.  The scale is 3 in : 78.75 ft.  Which is the closest to the height of the actual arch?

• 630 ft
• 600 ft
• 400 ft
• 200 ft

Tags

CCSS.7.RP.A.2C