Grade 7 · Math

7th grade Percent increase, percent decrease and percent error worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Percent increase, percent decrease and percent error

Grade 7 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Kira's town had 360 people at the summer fair. This year the fair had 35% more people, and the lemonade line wrapped around the block. How many people came this year?
Milo's sailing club sailed 240 miles last summer. This summer it sailed 45% more miles. How many miles did the club sail this summer?
Pia's bunch of grapes weighed 320 grams. Pia ate 45% of it on the hike. How many grams of grapes are left?
Ren's soccer league had 480 players, and 15% moved away over the summer. How many players are in the league now?
A seedling at Zee's school is 30 centimeters tall in April and 75 centimeters tall in July. By what percent did its height increase?
Ari's book club read 15 books last year and 60 books this year, because the new library opened. By what percent did the number of books increase?
Bo's town had 50 people at a parade last year and 60 people this year. By what percent did the crowd increase?
Kira's class had 20 pizza slices, and 5 are left after lunch. By what percent did the number of slices decrease?
Noah estimates that a ball of yarn is 40 meters long, but it is really 50 meters long. What is the percent error of the estimate?
10.
x is the number of students in Bo's club. Then 30% of them leave early. Which expression gives the students who stay?
- 1.3x
- x − 0.3
- 0.3x
- 0.7x

Percent change and percent error. Every version has 10 questions, and the answer key prints on the second page.

I can find the new amount after a percent increase or decrease, and the number I multiply by (1.05 for "5% more", 0.9 for "10% less").
I can find the percent a quantity went up or down, and the percent error of a guess or a reading, by comparing the change to the old (or actual) amount.
I can go back from a new amount to the old one, do two percent changes in a row, and find the largest and smallest readings a tool can show.

Standard: 7.RP.A.3, 7.EE.A.2

increase / decrease: Going up by a percent, or down by a percent, of the old amount.

the 100 row: The old (starting or true) amount. It is always 100%.

the change: How much the amount went up or down: new minus old, ignoring the sign.

multiplier: The number you multiply the old amount by to get the new amount, like 1.05.

percent error: How far a guess or reading is from the true amount, as a percent of the true amount.

Your child found the change (the percent of the old amount) and stopped.

Your child added the percent number itself to the amount, as if 25% meant 25 more.

Your child subtracted the percent number itself from the amount, as if 25% meant 25 less.

Ask: after a 10% increase, is the new amount more than the old amount or just the 10%?

Ask: is 25% of 40 equal to 25?

What is the most common mistake with percent increase, percent decrease and percent error?

Your child found the change (the percent of the old amount) and stopped.

How can I help my child with percent increase, percent decrease and percent error?

Ask: after a 10% increase, is the new amount more than the old amount or just the 10%?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records