Percent of a Number Worksheets
While this may seem like just another math topic for you to learn, I can assure you that this not a pedestrian topic by any means. This is the basic math skill that indicates to us how we are doing. Better or worse, this is the math that makes a difference especially in our financial lives. It is very simple if we keep track of any value and then look at the value at a later date, we can easily understand if growth or decay has set in. These lessons and worksheets have students learn how to find the value of a percentage of an integer. This is a tremendously significant value to calculate and understand in many different walks of life.
Aligned Standard: 6.RP.A.3c
- Percent of 120 Step-by-Step Lesson- What's with the apples? I'm not sure either.
- Guided Lesson - They all follow the same steps. Decimals really make this fly by.
- Guided Lesson Explanation - Many teachers as me to change this to ratios. I feel that it is much practical to go with decimals.
- Finding Percentages (of 10s) 5 Pack - All the percentage are by a different tens place.
- Practice Worksheet - All of these percentage are less than one hundred, but they are not fixed to any place.
- Matching Worksheet - See if students catch the error here (% in answer column). I leave it like this because three different national tests had this error. .
- Percentages of Numbers Lesson and Practice - The 15% value is something kids always have trouble with; not sure why.
- Numbers Based on Percentage Five Pack of Worksheets - These problems are formed in a single sentence. It is very common to see these on tests.
- Percent of a Number Five Pack of Worksheets - I always remembered the statement "is over of!"; as a kid.
- Answer Keys - These are for all the unlocked materials above.
I formatted the problems in different ways to prep kids for all orientations possible.
- Homework 1 - If you are strong with fractions, here is another method. We can look at 40 out of 100 as 40/100.
- Homework 2 - Convert the percentage to a decimal.
- Homework 3 - Using the formula: x = (Decimal Value) (Number)
You got to love the images I choose for these!
- Practice 1 - The best way to do this is to set it up as a proportion.
- Practice 2 - When solving percentage problems, the basic formula is: x = percentage as a decimal (Original Value)
- Practice 3 - To solve the given expression we have to first remove the sign of % by dividing the number by 100.
Math Skill Quizzes
These are straight forward no nonsense problems.
- Quiz 1 - See if the lessons really sunk in?
- Quiz 2 - Why not work hard to get your value up in the end?
- Quiz 3 - Once you get to the end value simplify the expression to its lowest terms.
How to Find Percentages of Numbers
Percentages are values that indicate to us how much of something or how complete something is. You might notice this on your favorite streaming app or video game. This concept in mathematics gives us a sense of proportion or scale. It helps in evaluating the results of surveys and identifying the trends in a data set. Generally, percentages lie between 0 and 100, but there are cases when the calculated percentage exceeds 100. Per-cent is a Latin word that means for every 100.
Finding percentages of numbers is easy, and it is used in day-to-day applications, including calculating discounted prices and the percentage of profit generated by any company. The following example will help you grasp the concept and understand exactly how you calculate the percentage of a number.
Example: What is 30% of 120.
To calculate 30% of 120, you simply have to convert 30% into a fraction. 30% can be written as 30/100, you can further simplify the fraction or multiply it directly with the number. The term 'of' means to multiply. You have to multiply the fraction with the number we were originally given (120). 30/100 × 120 = 36.
This is a super helpful skill to have to understand if what ever you are studying growing or decaying. If either is true, it also indicates the scale of the trend. This is fundamental important to be able to identify if you run a business or are in the business of hitting homeruns. That is because it gives you an understanding of how you are doing. Everyone want to be doing better, but if you are doing worse that is just as important to be aware of.
Real World Examples of This Skill
This skill applies to just about every form of consumer spending practice you could think of. Many big-name retailers are known to use this skill to their advantage to make their customers feel as if they are getting a bargain. A simple example would be if a retailer wanted to sell a sweater for $40. Most people would not get excited at that price or feel a sense of urgency to purchase the sweater. If the retailer put the same sweater on rack that was marked 50% off and marked the original price as $80. This would leave the sale price at the original intended price of $40. This would indicate to any customer that they are getting a huge value and they feel the need to make the purchase. This is why I am very weary of retail stores that seem to always have a sale going on. This skill can also help you understand what you need to score on that last exam to get the desired class average you have. We can use it to convert between percentages and raw score values. This comes down to understanding what goes into a class average. To make it simple, we examine a class average that is determined solely by test grades. If you wanted to score an 85% class average and you currently have an 80% average, it would be nice to know what you needed to score on that last test to reach that average. You have had 2 tests previously and you have 1 last test to determine your class average. This would mean that you needed to reach a raw score of 85 x 3 or 255. You currently have a raw score of 80 x 2 or 160. This would mean you would need to score 255 - 160 or 95% on your final test to achieve that score.