Ratios and Rates Flashcards
What is a ratio?
A ratio is a comparison of two quantities by division.
What does it mean if a ratio is expressed as 3:2?
It means for every 3 units of the first quantity, there are 2 units of the second quantity.
True or False: A ratio can only compare two quantities.
True.
If the ratio of cats to dogs is 4:5, how many cats are there if there are 20 dogs?
16 cats.
What is the unit rate?
The unit rate is a comparison of two different quantities when they are combined into one unit.
If a car travels 300 miles in 5 hours, what is the rate in miles per hour?
60 miles per hour.
Fill in the blank: The ratio of boys to girls in a class is 3:4. If there are 12 boys, there are _____ girls.
16 girls.
What does it mean for two ratios to be equivalent?
It means they represent the same relationship between quantities.
If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?
2:3.
True or False: A rate is a specific kind of ratio that compares quantities with different units.
True.
If a person earns $240 for 30 hours of work, what is their hourly wage?
$8 per hour.
What is the first step in solving a ratio problem?
Identify the quantities being compared.
If there are 15 apples and 10 oranges, what is the ratio of apples to oranges in simplest form?
3:2.
Fill in the blank: A speed of 50 miles per hour can be expressed as _____ miles in 2 hours.
100 miles.
What is a proportion?
A proportion is an equation that states that two ratios are equal.
If a car travels 150 miles using 5 gallons of gas, what is the car’s fuel efficiency in miles per gallon?
30 miles per gallon.
True or False: The ratio 1:4 is equivalent to the ratio 2:8.
True.
If a school has a ratio of 12 teachers to 300 students, what is the ratio of students to teachers?
25:1.
What is the formula to find a unit rate?
Divide the first quantity by the second quantity.
If a bicycle travels 45 miles in 3 hours, what is the average speed?
15 miles per hour.
Fill in the blank: In a recipe, the ratio of water to rice is 2:1. If you use 4 cups of water, you need _____ cups of rice.
2 cups.
If a painting is 30 inches wide and 45 inches tall, what is the ratio of width to height?
2:3.
True or False: A ratio can be expressed as a fraction.
True.
If a recipe calls for 5 cups of flour for every 2 cups of sugar, what is the ratio of sugar to flour?
2:5.
If there are 40 students in a class and the ratio of boys to girls is 3:2, how many boys are there?
24 boys.
What is the relationship between ratios and fractions?
Ratios can be expressed as fractions.
If a train travels 120 miles in 2 hours, what is its speed in miles per hour?
60 miles per hour.
Fill in the blank: The ratio of red marbles to blue marbles is 5:3. If there are 15 red marbles, there are _____ blue marbles.
9 blue marbles.
What is the cross-multiplication method used for?
To determine if two ratios are equivalent.
If a car drives 180 miles in 3 hours, what is the average speed?
60 miles per hour.
True or False: The ratio 4:5 is equivalent to 8:10.
True.
If a recipe has a ratio of 1:4 for salt to flour, how much salt is needed for 12 cups of flour?
3 cups of salt.
If a school has a ratio of 2 football players to 3 basketball players, what is the ratio of basketball players to football players?
3:2.
Fill in the blank: The ratio of hours to minutes is _____ to 60.
1.
What is the simplest form of the ratio 10:15?
2:3.
If the ratio of pencils to pens is 7:3, how many pens are there if there are 21 pencils?
9 pens.
What is an example of a rate?
Speed, such as miles per hour.
True or False: A ratio can be written as a decimal.
True.
What does it mean if the ratio of two quantities is 1:1?
It means the quantities are equal.
If a store sells 3 apples for $2, what is the cost of 1 apple?
$0.67.
Fill in the blank: The ratio of 8 to 12 can be simplified to _____ to 3.
2.
If a car can travel 240 miles on 8 gallons of gas, what is its fuel efficiency?
30 miles per gallon.
If a recipe requires 4 cups of flour for every 2 cups of sugar, how much sugar is needed for 10 cups of flour?
5 cups of sugar.
What is the ratio of the sides of a rectangle that is 8 cm wide and 12 cm long?
2:3.
True or False: A unit rate can be greater than one.
True.
If a recipe calls for 6 parts water to 1 part vinegar, how much vinegar is needed for 12 parts water?
2 parts vinegar.
What is the ratio of 50 to 100 in simplest form?
1:2.
If a class has a ratio of 5 girls to 7 boys, how many girls are there if there are 21 boys?
15 girls.
Fill in the blank: The ratio of 9 to 12 can be simplified to _____ to 4.
3.
If a car drives 300 miles on 10 gallons of gas, what is the fuel efficiency?
30 miles per gallon.
If a recipe requires a ratio of 1:3 for sugar to flour, how much sugar is needed for 9 cups of flour?
3 cups of sugar.
What is the ratio of 15 to 45 in simplest form?
1:3.
True or False: The ratio of 4 to 8 is equivalent to the ratio of 1 to 2.
True.
If there are 60 students in a class and the ratio of boys to girls is 2:3, how many boys are there?
24 boys.
If a car travels 200 miles in 4 hours, what is its speed in miles per hour?
50 miles per hour.
Fill in the blank: The ratio of 10 to 25 can be simplified to _____ to 5.
2.
If a recipe calls for a ratio of 3:1 for flour to sugar, how much sugar is needed if you use 9 cups of flour?
3 cups of sugar.
If the ratio of cats to dogs is 5:2, how many dogs are there if there are 25 cats?
10 dogs.
True or False: The ratio 6:9 can be simplified to 2:3.
True.
What is the unit rate of 120 miles in 2 hours?
60 miles per hour.
If a recipe has a ratio of 1:5 for salt to water, how much salt is needed for 25 cups of water?
5 cups of salt.
Fill in the blank: The ratio of 7 to 14 can be simplified to _____ to 1.
1.
If a car can travel 180 miles on 6 gallons of gas, what is its fuel efficiency?
30 miles per gallon.
If the ratio of boys to girls in a class is 4:5 and there are 20 boys, how many girls are there?
25 girls.
What is the equivalent ratio of 3:4 if both sides are multiplied by 2?
6:8.
If a car travels 300 miles in 5 hours, what is its average speed?
60 miles per hour.
True or False: A ratio can be written as a percentage.
True.
If a recipe calls for 2 cups of flour for every 1 cup of sugar, what is the ratio of sugar to flour?
1:2.
If the ratio of red to blue marbles is 2:3, how many blue marbles are there if there are 10 red marbles?
15 blue marbles.
Fill in the blank: The ratio of 12 to 16 can be simplified to _____ to 4.
3.
If a car can drive 360 miles on 12 gallons of gas, what is its fuel efficiency?
30 miles per gallon.
If a class has a ratio of 3 boys to 2 girls and there are 15 boys, how many girls are there?
10 girls.
What is the simplest form of the ratio 18:24?
3:4.
True or False: The ratio of 4:6 is equivalent to 2:3.
True.
If a recipe requires a ratio of 1:4 for oil to vinegar, how much oil is needed for 12 cups of vinegar?
3 cups of oil.
If the ratio of students to teachers is 20:1, how many teachers are there if there are 100 students?
5 teachers.
Fill in the blank: The ratio of 8:12 can be simplified to _____:3.
2.
If a car travels 240 miles in 4 hours, what is its average speed?
60 miles per hour.
If a recipe has a ratio of 4:5 for flour to sugar, how much flour is needed for 20 cups of sugar?
16 cups of flour.
What is the ratio of 14 to 28 in simplest form?
1:2.
True or False: The ratio 15:20 is equivalent to 3:4.
True.
If a car can travel 150 miles on 5 gallons of gas, what is its fuel efficiency?
30 miles per gallon.
If a recipe calls for a ratio of 1:3 for sugar to flour, how much sugar is needed if you use 6 cups of flour?
2 cups of sugar.
Fill in the blank: The ratio of 5 to 15 can be simplified to _____ to 3.
1.
If a school has a ratio of 3 teachers to 12 students, what is the ratio of students to teachers?
4:1.
If a car travels 240 miles in 4 hours, what is its speed in miles per hour?
60 miles per hour.
What is the ratio of 2:5 in terms of percentage?
40%.
True or False: A ratio can be expressed in different forms such as fractions and decimals.
True.
