Find the Original Amount After an Increase
Written by Adi Ackerman, Head Teacher
"Find the Original Amount After an Increase" is written for 8th Grade (Ages 13-14). A 7th grader who is already steady on percents can use it too, and an older student can use it as a short review.
8th grade math worksheet: find the original amount before 6 increases, such as a town that grew 8% to 9,180 people. Answer key included. Part of our percent of change percents collection.
How do I use this worksheet?
Begin with the increase and decrease sheets so students always divide by the original amount. Then move to the word problems, and save the original amount sheets for last since they reverse the steps.
What students will practice
- Students will write the new amount as a percent over 100% of the original.
- Students will divide to find the amount before a raise or growth.
- Students will work backward from increases such as 125%.
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FAQ
How do I use this percent of change worksheet?
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Begin with the increase and decrease sheets so students always divide by the original amount. Then move to the word problems, and save the original amount sheets for last since they reverse the steps.
What does this worksheet teach?
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Find the original amount before 6 increases, such as a town that grew 8% to 9,180 people. The directions on the page read: Find each original amount. Show your work. The page opens with a worked example, and an answer key is included.
Can I use this percent of change worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade percents, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What is the formula for percent of change?
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Percent of change = amount of change ÷ original amount. From 65 to 41, the change is 24, and 24 ÷ 65 is about 0.3692, a 36.9% decrease. Always divide by the starting value, not the new one.
How do you find percent error?
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Find the difference between the guess or measurement and the actual value, then divide by the actual value. A guess of 38 marbles when there were 44 has an error of 6, and 6 ÷ 44 is about 13.6%. Percent Error Problems has six of these.
How do you find the original amount after a percent increase?
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Write the new amount as a percent over 100% of the original, then divide. A town that grew 9% to 6,540 people had 6,540 ÷ 1.09 = 6,000 people before. Find the Original Amount After an Increase practices this.
What is the difference between a markup and a markdown?
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A markup raises a price by a percent, and a markdown lowers it. A $12 mug marked up 75% sells for 12 × 1.75 = $21.00. Markup and Markdown Problems also asks for the percent markup from two prices.
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