Ratios

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 can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (a/b), using a colon (a:b), or with the word 'to' (a to b).

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

If the ratio of blue triangles to red squares is 4:3, how many blue triangles are there if there are 12 red squares?

Back

There are 16 blue triangles. (4/3 = x/12, so x = 16).

Front

What is the ratio of blue circles to the total number of circles if there are 2 blue circles and 3 red circles?

Back

The ratio is 2:5.

Front

What is the first step to solve a ratio problem?

Back

Identify the quantities being compared and express them in the form of a ratio.

Front

If a recipe calls for a ratio of 2:1 of flour to sugar, how much sugar is needed for 4 cups of flour?

Back

2 cups of sugar are needed. (2:1 means for every 2 cups of flour, 1 cup of sugar is used.)

Front

What is the ratio of 18 to 30 in simplest form?

Back

The simplest form of the ratio 18:30 is 3:5.

Front

If the ratio of boys to girls in a class is 3:4, how many girls are there if there are 12 boys?

Back

There are 16 girls. (3/4 = 12/x, so x = 16).

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of boys to girls in a class.