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 one quantity is present in relation to another.

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.

Front

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

Back

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

Front

If 22 out of 25 students passed a test, what percentage passed?

Back

88% (22/25 = 0.88, then 0.88 x 100 = 88%).

Front

What does it mean if a value increases by a certain percentage?

Back

It means that the new value is greater than the original value by that percentage of the original.

Front

How do you calculate the increase in value when given a percentage?

Back

To calculate the increase, multiply the original value by the percentage (as a decimal) and add it to the original value.

Front

What is a decrease percentage?

Back

A decrease percentage indicates how much a value has reduced in relation to the original value, expressed as a percentage.

Front

If a shirt costs $40 and is on sale for 20% off, what is the sale price?

Back

The sale price is $32. (20% of $40 is $8, so $40 - $8 = $32).

Front

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

Back

Percentages can be converted to fractions and decimals. For example, 50% = 1/2 = 0.5.

Front

How do you find the original price if you know the sale price and the discount percentage?

Back

Use the formula: Original Price = Sale Price / (1 - Discount Percentage).