Percent Proportion Worksheets
When ever we come across an equation where are percent is equal to an equivalent ratio, we call this a percent proportion. You see how they cleverly included both key terms in the naming process? They are often expressed as a part of a whole which is expressed as 100. We have to remember that proportion can come written in many different forms. The same proportion can be written as 40:100, 40 to 100, or 40/100. Percent proportion now allow us to state that same relationship as 40%. There is a fixed formula for how the percent proportion is stated. It is stated as: Part/Whole = Percent/100. When you are trying to spot the Part/Whole portion it is helpful to look for the words “is” and “of” as they are usually dead giveaways of parts and wholes in the form: is/of.
Aligned Standard: Grade 6 Proportional Relationships - 6.RP.A.3c
- Buying Soap Step-by-step Lesson- Find the best unit price on Soap. In our State retailers have to list the unit price. Wow does it save you!
- Guided Lesson - We tackle a number of everyday problems. We go to the book and handbag shop. We also do some banana math.
- Guided Lesson Explanation - Again, I use ratios in quotient format to make it easier to understand.
- Practice Worksheet - These problems help it to sink in for students. As they say to themselves, "Yes, I am in 6th grade!"
- Matching Worksheet - This worksheet is great to get you prepared for the department store sales.
- Answer Keys - These are for all the unlocked materials above.
We are basically figuring out unit cost here for all the sheets.
- Homework 1 - Which fruit is the best buy?
- Homework 2 - Which book is the best buy?
- Homework 3 - Which case of hair conditioner is the best buy?
The practice sheets are much more involved than the homework sheets. They might need help with some vocabulary.
- Practice 1 - George went to the flower shop. There he bought five flowers at the cost of $275. He sold a flower to his friend and got 20% of his money back. How much money did he charge his friend for the flower?
- Practice 2 - Andrew has a canoe shop. Each canoe costs $500. Andrew is having a 20% off sale on all canoes. What is the cost of a canoe now?
- Practice 3 - Mary has 45 ice cream cups. She gives 20% of the ice cream cups to her sisters. Write the number of ice cream cups that she gave to her sisters.
Math Skill Quizzes
The first quiz covers all areas of the skill. The last two focus on the essence of the raw skill.
- Quiz 1 - In November, Jeffry brought ten dresses for $2,200. But one of them he gave to his friend and she paid him 35% of the total cost of all the dresses. How much did his friend give him?
- Quiz 2 - What is - 35% of 80?
- Quiz 3 - Maria bought a pair of sunglasses for $300 and she got a 15% discount on them. What is the total amount of the discount?
How to Determine the Percentage of a Value?
Percentage calculation is another important concept of mathematics that has significant use even in real life. Whether calculating the increase in profit of a company or calculation of grades in a classroom, percentage calculations are used everywhere. This is an extremely valuable skill to have.
Percent is a term that means for every 100 and the symbol that is used to represent percentage is %. The symbol is a quick way to right a fraction with 100 as its denominator. Determining the percentage of a value is simple.
Example: A classroom has 36 students out of which 25% students failed the latest math exam. How many students failed that math exam?
The question is asking to calculate 25% of the 36. Here is how we go about it:
Step 1: Write % as a Fraction- The first step is to write the percentage as a fraction with 100 as its denominator.
25% = 25/100
Step 2: Multiply Fraction with Value- The next step is to multiply the fraction created with the given value.
25/100 × 36 or 25/100 x 36/1 = 900/100
Step 3: Simplify the Final Fraction- Simplify the final fraction that you get after multiplying the percentage fraction with the value. Convert it into a whole number or a decimal value by division and it will be the final answer. 900/100 = 9. The final answer would be 9 students.
Let's Try a More Difficult Problem
Problem: It was Mike’s birthday and he brought 5 dozen cupcakes into school. 10% of the cupcakes were going to his classmates in homeroom. 30% of the cupcakes were going to his science classmates. The rest of the cupcakes he was going to share with his lacrosse teammates. How many cupcakes was Mike bringing to his lacrosse team?
Solution: Lets create an outline of what we need to do first. We must first determine the percentage of cupcakes that are going to Mike’s lacrosse teammates and then determine how many of the total cupcakes are going to them based on that number and the percentage.
Step 1) Determine the Percentage of Cupcakes Going to Team
The total number of cupcakes can be represented by 100%. If we subtract the other percentages, we can determine the percentage that is left. The total percentage of cupcakes going elsewhere can be describe as 10% (homeroom) + 30% (science class) = 40%. We can determine the percentage remaining as: 100% - 40% = 60%. So 60% of the cup cakes will be going to the team.
Step 2) Total Number of Cupcakes
We were told 5 dozen. There are 12 in a dozen, so the total can be expressed as 5 x 12 or 60 cupcakes.
Step 3) Determine 60% of 60 Cupcakes
60% can also be expressed as 60/100 and 60 can be expressed as 60/1. We would then multiply these fractions as: 60/100 x 60/1 = 3,600/100 = 36. So the lacrosse team would get 36 cupcakes.