Ratio Tables 3

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

How do you write equivalent ratios?

Back

Equivalent ratios are created by multiplying or dividing both terms of a ratio by the same non-zero number.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize equivalent ratios in a structured format, helping to visualize relationships between quantities.

Front

If the ratio of A to B is 2:3, what is the value of B if A = 8?

Back

B = 12, because 8 is 2/5 of the total ratio (2+3), and B is 3/5 of the total.

Front

What is the purpose of using ratio tables?

Back

Ratio tables help in solving problems involving proportions, making it easier to find missing values and understand relationships.

Front

How can you find a missing value in a ratio table?

Back

You can find a missing value by using cross-multiplication or by identifying the pattern in the ratios.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

If a ratio is 4:5, what is the equivalent ratio if both terms are multiplied by 3?

Back

The equivalent ratio is 12:15.

Front

What is the value of A if the ratio of A to 60 is 4:3?

Back

A = 80, because 4/3 = A/60 leads to A = (4/3) * 60.

Front

What is the value of B if the ratio of 1 to B is 1:12?

Back

B = 12, because the ratio indicates that for every 1 unit of the first quantity, there are 12 units of the second.