Ratios and Tape Diagrams

Front

What is a ratio?

Back

A ratio is a way to compare two quantities by using division. It shows how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or with the word 'to' (e.g., 3 to 4).

Front

What does an equivalent ratio mean?

Back

An equivalent ratio means that two ratios express the same relationship between quantities, even if the numbers are different.

Front

If there are 4 apples and 6 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 4:6, which can be simplified to 2:3.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships, helping to solve problems involving ratios.

Front

How can tape diagrams help in solving ratio problems?

Back

Tape diagrams help visualize the parts of a ratio, making it easier to see how quantities relate to each other and to find unknown values.

Front

If the ratio of cats to dogs is 2:3 and there are 10 cats, how many dogs are there?

Back

If the ratio is 2:3, then for every 2 cats, there are 3 dogs. If there are 10 cats, there are 15 dogs.

Front

What is the ratio of blue to red Jolly Ranchers if there are 3 blue for every 4 red?

Back

The ratio of blue to red Jolly Ranchers is 3:4.

Front

If a class has 30 students and 12 like pizza, what is the ratio of students who like pizza to the total number of students?

Back

The ratio of students who like pizza to the total number of students is 12:30, which simplifies to 2:5.

Front

What is the ratio of bunnies to puppies if there are 11 bunnies and 3 puppies?

Back

The ratio of bunnies to puppies is 11:3.