Proportional Reasoning Story 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.7.RP.A.2

CCSS.7.RP.A.3

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

CCSS.7.RP.A.2

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet
• 72 feet
• 36 feet

Tags

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?

• $30
• $20
• $60
• $10

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.2

CCSS.7.NS.A.3

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Solve for y.

• 8

• 12

• 17

• 32

What is the height of the Tree?

• 20
• 15
• 30
• 10

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.

• 4 ft
• 2 ft
• 8 ft
• 6ft

Tags

CCSS.7.RP.A.3

An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.

• 288 feet
• 5802 feet
• 259 feet
• 275 feet

What is the height of the Tree?

• 20
• 15
• 30
• 10

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Use the information in the diagram to determine the height of the tree.

• 80 feet
• 320 feet
• 40 feet
• 160 feet

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8