Ratios and Rates 6th Grade Review

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 rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as speed (miles per hour) or price (cost per item).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. For example, 45 miles per hour is a unit rate.

Front

How do you calculate distance using speed and time?

Back

Distance = Speed × Time. For example, if a dolphin swims at 30 miles per hour for 4 hours, the distance is 30 × 4 = 120 miles.

Front

If there are 88 students in 4 classes, how do you find the number of students per class?

Back

Divide the total number of students by the number of classes: 88 students ÷ 4 classes = 22 students per class.

Front

What is the ratio of tenants to cars if there are 30 tenants and 50 cars?

Back

The ratio of tenants to cars is 30:50, which can be simplified to 3:5.

Front

If a cashier rings up 2 customers in 8 minutes, how many customers can he ring up in 32 minutes?

Back

To find the number of customers in 32 minutes, set up a proportion: (2 customers / 8 minutes) = (x customers / 32 minutes). Solving gives x = 8 customers.

Front

What is the formula for finding a unit rate?

Back

To find a unit rate, divide the first quantity by the second quantity, ensuring the second quantity equals 1.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor.

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.