Proportional Reasoning Test Review - PHIO

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities in terms of their relative sizes.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (expressed as a decimal). For example, to find 20% of 50, calculate 50 * 0.20 = 10.

Front

What is the formula to find the percentage of a part compared to a whole?

Back

The formula is: (Part/Whole) * 100 = Percentage.

Front

If a team won 60% of their games and played 50 games, how do you find the number of games won?

Back

Multiply the total number of games by the winning percentage: 50 * 0.60 = 30 games.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For example, 15/20 = 0.75, which is 75%.

Front

What is the relationship between percentages, fractions, and decimals?

Back

Percentages are a way to express a number as a fraction of 100. A percentage can be converted to a decimal by dividing by 100, and a fraction can be converted to a percentage by multiplying by 100.

Front

How do you find what percent one number is of another?

Back

To find what percent one number (A) is of another number (B), use the formula: (A/B) * 100.

Front

What is the process to find the total when given a percentage of that total?

Back

To find the total when given a percentage, divide the part by the percentage (expressed as a decimal). For example, if 18% of a number is 72, the total is 72 / 0.18 = 400.

Front

What does it mean if a student scored 75% on a test?

Back

It means the student answered 75 out of 100 questions correctly, or in this case, 15 out of 20 questions correctly.

Front

How can you express 15% as a decimal?

Back

To express 15% as a decimal, divide by 100: 15% = 0.15.