Math Problem Solving

Front

What is unit rate?

Back

A unit rate is a comparison of any two separate but related quantities when they are combined into a single quantity. It is often expressed as a quantity per 1 unit.

Front

How do you calculate the unit rate of a product?

Back

To calculate the unit rate, divide the total cost by the number of items. For example, if 6 candles cost $15, the unit rate is $15 ÷ 6 = $2.50 per candle.

Front

What is the formula to find laps per minute?

Back

To find laps per minute, divide the total number of laps by the total time in minutes. For example, if Rosalie swims 8 laps in 5 minutes, it is 8 ÷ 5 = 1.6 laps per minute.

Front

How do you calculate the percentage of a group?

Back

To calculate the percentage, divide the part by the whole and multiply by 100. For example, if 15 out of 25 children take the bus, the percentage is (15 ÷ 25) × 100 = 60%.

Front

What is the formula for speed?

Back

Speed is calculated by dividing the distance traveled by the time taken. For example, if you drive 360 miles in 6 hours, the speed is 360 ÷ 6 = 60 miles per hour.

Front

How do you find the time taken to travel a certain distance?

Back

To find the time taken, divide the distance by the speed. For example, if the speed is 60 miles per hour and the distance is 120 miles, the time is 120 ÷ 60 = 2 hours.

Front

What is the formula to find minutes per lap?

Back

To find minutes per lap, divide the total time in minutes by the number of laps. For example, if it takes 5 minutes to swim 8 laps, it is 5 ÷ 8 = 0.625 minutes per lap.

Front

What does it mean to compare unit rates?

Back

Comparing unit rates helps determine which option is more cost-effective or efficient. For example, comparing the cost per candle from different stores.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first number over the second number. For example, a ratio of 3:4 can be expressed as 3/4.