7th Grade Practice Test - 1.08.2025

Front

What is the unit rate/constant of proportionality?

Back

The unit rate or constant of proportionality is the ratio of two quantities when they are in a proportional relationship, expressed as a single value. For example, in the relationship of 60 miles in 1 hour, the unit rate is 60 miles/hour.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used in geometry to determine the ratio of the lengths of corresponding sides of similar figures.

Front

How do you find the scale of a drawing?

Back

To find the scale of a drawing, divide the actual length by the length in the drawing. For example, if a soccer field is 98 yards long and is drawn as 14 inches, the scale is 98 yards / 14 inches = 7 yards per inch.

Front

What is the area of a square?

Back

The area of a square is calculated by squaring the length of one of its sides. If the side length is 's', then the area A = s².

Front

If 2 inches = 5 feet in a scale drawing, what is the area of the drawing if the actual garden has a side length of 25 feet?

Back

First, convert the actual side length to the drawing's scale: 25 feet = 10 inches. Then, the area of the scale drawing is 10 in × 10 in = 100 in².

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

How do you determine corresponding sides in similar triangles?

Back

Corresponding sides in similar triangles are the sides that are in the same relative position in each triangle. For example, if triangle ABC is similar to triangle DEF, then side AB corresponds to side DE.

Front

What is the relationship between the scale factor and the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is k, then the ratio of the areas is k².

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio remains constant. For example, if y is proportional to x, then y/x = k, where k is a constant.

Front

How do you convert between different units of measurement?

Back

To convert between different units of measurement, use conversion factors that relate the two units. For example, to convert inches to feet, use the factor 1 foot = 12 inches.