Scale Proportions

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally smaller or larger than the actual size, using a specific ratio to maintain accurate dimensions.

Front

What does the term 'scale' mean in mathematics?

Back

In mathematics, 'scale' refers to the ratio of the size of a model or drawing to the size of the actual object it represents.

Front

How do you calculate the actual distance using a scale?

Back

To calculate the actual distance, multiply the distance on the map by the scale factor. For example, if the scale is 1 inch = 20 miles and the distance on the map is 4.5 inches, the actual distance is 4.5 * 20 = 90 miles.

Front

What is the formula for finding the actual length from a scale drawing?

Back

The formula is: Actual Length = Length on Drawing × Scale Factor.

Front

If a scale drawing shows a length of 6 cm and the scale is 1 cm = 5 m, what is the actual length?

Back

The actual length is 6 cm × 5 m/cm = 30 m.

Front

What is a proportion in mathematics?

Back

Front

How do you set up a proportion to find an unknown length?

Back

Front

What is the purpose of using scale in maps?

Back

The purpose of using scale in maps is to provide a way to represent large areas in a smaller, manageable format while maintaining accurate distances.

Front

If a map has a scale of 1 inch = 100 miles, how far apart are two cities that are 2 inches apart on the map?

Back

The actual distance is 2 inches × 100 miles/inch = 200 miles.

Front

What is the relationship between the dimensions of a scale drawing and the actual object?

Back

The dimensions of a scale drawing are proportional to the dimensions of the actual object, based on the scale used.