Mastering Scale Factors and Ratios: Grade 5 Challenges

A model of a building is made at a scale of 1:100. If the model is 2 meters tall, how tall is the actual building in meters?

• 200

• 100

• 50

• 150

A map uses a scale of 1 inch to represent 5 miles. If two cities are 3 inches apart on the map, how far apart are they in miles?

• 15 miles

• 10 miles

• 25 miles

• 20 miles

A recipe for a cake serves 8 people and requires 2 cups of flour. If you want to serve 20 people, how many cups of flour do you need?

• 6 cups

• 3 cups

• 5 cups

• 4 cups

A toy car is 6 inches long and is a scale model of a real car. If the scale is 1:12, how long is the real car in inches?

• 84 inches

• 72 inches

• 60 inches

• 48 inches

A garden is designed to be 4 feet wide and 6 feet long. If you want to double the size of the garden, what will be the new dimensions?

• 6 feet wide and 8 feet long

• 4 feet wide and 10 feet long

• 10 feet wide and 6 feet long

• 8 feet wide and 12 feet long

A photograph is enlarged at a scale of 2:1. If the original photo is 5 inches wide, how wide will the enlarged photo be?

• 20 inches

• 5 inches

• 15 inches

• 10 inches

A blueprint of a park is drawn at a scale of 1:50. If a path on the blueprint is 3 inches long, how long is the actual path in feet?

• 15 feet

• 10 feet

• 6 feet

• 12.5 feet

A scale model of a ship is 1:25. If the model is 3 feet long, how long is the actual ship in feet?

• 30 feet

• 50 feet

• 75 feet

• 100 feet

A scale drawing of a room shows the length as 10 inches and the scale is 1 inch to 2 feet. What is the actual length of the room in feet?

• 15 feet

• 25 feet

• 20 feet

• 30 feet

A scale of 1:10 is used for a drawing of a car. If the drawing is 4 inches long, how long is the actual car in inches?

• 20 inches

• 30 inches

• 50 inches

• 40 inches