ratios and proportions test

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

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

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, 20% of 75 is calculated as 75 * 0.20 = 15.

Front

If a recipe calls for a ratio of 2:1 for sugar to flour, how much flour is needed if 4 cups of sugar are used?

Back

2 cups of flour are needed (4 cups sugar / 2 = 2 cups flour).

Front

What is the cross-multiplication method used for?

Back

Cross-multiplication is used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 3/4 of a number is 12, what is the number?

Back

The number is 16 (12 / (3/4) = 16).

Front

What is the formula for finding the missing value in a proportion?

Back

If a/b = c/d, then the missing value can be found using the formula: missing value = (b * c) / a.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

Front

If a car travels 60 miles in 1 hour, what is its speed in miles per hour?

Back

The speed is 60 miles per hour (60 miles / 1 hour = 60 mph).