Math Problem Solving

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It shows how much of something there is compared to the whole.

Front

How do you calculate the percentage of a part compared to a whole?

Back

To calculate the percentage, divide the part by the whole and then multiply by 100. For example, if you have 9 black socks out of 45 total socks, the percentage is (9/45) * 100 = 20%.

Front

What is the formula to find the total number of items when given a percentage and the number of items that represent that percentage?

Back

The formula is: Total = (Number of items / Percentage) * 100. For example, if 24 questions are 75% of the test, then Total = (24 / 0.75) = 32.

Front

If 25% of a group of students are on the Honor Roll, how do you find the total number of students?

Back

You can find the total number of students by dividing the number of students on the Honor Roll by the percentage in decimal form. For example, if 65 students are on the Honor Roll, then Total = 65 / 0.25 = 260.

Front

What does it mean if 48% of students like chocolate ice cream?

Back

It means that out of every 100 students, 48 students prefer chocolate ice cream.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the top number (numerator) by the bottom number (denominator) and then multiply by 100. For example, 4/20 = 0.2, and 0.2 * 100 = 20%.

Front

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

Back

Fractions, decimals, and percentages are different ways to represent the same value. For example, 1/2 = 0.5 = 50%.

Front

How do you find the percentage of damaged boxes?

Back

To find the percentage of damaged boxes, divide the number of damaged boxes by the total number of boxes and multiply by 100. For example, if 4 out of 20 boxes are damaged, then (4/20) * 100 = 20%.

Front

What is a simple way to understand ratios?

Back

A ratio compares two quantities. For example, if there are 2 apples and 3 oranges, the ratio of apples to oranges is 2:3.

Front

What does it mean to solve a word problem in math?

Back

Solving a word problem means translating the words into numbers and operations to find the answer.