SAT Problem Solving and Data Analysis - Percentages HARD

Front

What is a percentage?

Back

A percentage is a fraction expressed as a part of 100. It represents how much of something there is in relation to the whole.

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 the result by 100.

Front

What is the formula to calculate the percentage of a number?

Back

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

Front

If 25% of a number is 50, what is the number?

Back

The number is 200. (50 / 0.25 = 200)

Front

What does it mean to increase a number by a percentage?

Back

To increase a number by a percentage means to add that percentage of the number to the original number.

Front

If a shirt costs $40 and is on sale for 25% off, what is the sale price?

Back

The sale price is $30. (25% of $40 is $10, so $40 - $10 = $30)

Front

How do you find the percentage increase from one number to another?

Back

Percentage Increase = ((New Number - Original Number) / Original Number) x 100.

Front

If a population increases from 200 to 300, what is the percentage increase?

Back

The percentage increase is 50%. ((300 - 200) / 200) x 100 = 50%.

Front

What is a percentage decrease?

Back

A percentage decrease is the reduction of a number expressed as a percentage of the original number.

Front

If a product originally costs $80 and is now $60, what is the percentage decrease?

Back

The percentage decrease is 25%. ((80 - 60) / 80) x 100 = 25%.