Ratio and rates

Front

What is a rate in mathematics?

Back

A rate is a ratio that compares two quantities with different units, often expressed as a fraction.

Front

What are the units of speed?

Back

Speed is typically expressed in units of distance per time, such as miles per hour (mph) or kilometers per hour (km/h).

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total price by the number of units. For example, if a package costs $4.56 and contains 12 items, the unit price is $4.56 ÷ 12 = $0.38.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another, often expressed in the form 'a to b'.

Front

How do you express a ratio of boys to girls if there are 5 boys and 7 girls?

Back

The ratio of girls to boys is expressed as 7 to 5.

Front

What is the formula for calculating average speed?

Back

Average speed is calculated using the formula: Average Speed = Total Distance ÷ Total Time.

Front

If a car travels 90 miles in 2 hours, what is its average speed?

Back

The average speed is 45 miles per hour, calculated as 90 miles ÷ 2 hours.

Front

What does the term 'unit price' refer to?

Back

Unit price refers to the cost per single unit of a product, allowing for easy comparison between different sizes or quantities.

Front

How can you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the significance of understanding ratios and rates in real-life applications?

Back

Understanding ratios and rates helps in making informed decisions in various contexts, such as shopping, cooking, and travel.