Scale Drawings and Proportions

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on a smaller or larger scale, maintaining the same ratios as the original.

Front

What does the term 'proportion' mean in mathematics?

Back

A proportion is an equation that states that two ratios are equivalent.

Front

If a map has a scale of 1 inch = 42 miles, how far apart are two cities that are 10 inches apart on the map?

Back

420 miles (10 inches x 42 miles/inch).

Front

What is the formula to find the scale of a drawing?

Back

Scale = Actual Size / Drawing Size.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if they can be simplified to the same value or if their cross products are equal.

Front

What is the scale of a drawing if 1 inch represents 2 feet?

Back

The scale is 1 inch : 2 feet.

Front

If a table is drawn 3 inches long on a scale drawing with a scale of 1 inch = 4 feet, what is the actual length of the table?

Back

12 feet (3 inches x 4 feet/inch).

Front

What is the relationship between scale and distance on a map?

Back

The scale indicates how much distance on the map corresponds to actual distance in reality.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How much would 15 pounds of hamburger meat cost if it sells for $6 for every 3 pounds?

Back

$30 (15 pounds / 3 pounds x $6).