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Percent Increase, Percent Decrease and Percent Error: Grade 7 Math Worksheet – PDF Download

    Percent Increase, Percent Decrease and Percent Error – Grade 7 math worksheet
    These 20 problems practice standard 7.RP.A.3 applied to percent change: finding a percent increase or decrease, computing a new amount, working backward to the original amount, and measuring percent error. The first problems use one step; the last six combine several steps in shopping, population and pricing situations.
    Grade 7Common Core: 7.RP.A.3

    Problem 1: Percent increase

    A school store raised the price of a notebook from $4.00 to $5.00. Find the percent increase.

    $0$1$2$3$4$5$6$4Old price$5New price
    Old and new notebook prices.

    Problem 2: Gas price drop

    The price of gas at a station near the Little League field fell from $4.00 to $3.60 per gallon. Find the percent decrease.

    Problem 3: Percent decrease

    A water tank held 50 gallons on Monday and 40 gallons on Friday. Find the percent decrease.

    Problem 4: Growth of a seedling

    A tomato seedling at the school garden was 25 inches tall in May and 28 inches tall in June. Find the percent increase in its height.

    25 inMay28 inJune
    Seedling height in inches.

    Problem 5: Falling attendance

    Last Saturday, 250 fans watched a Little League game. This Saturday, 215 fans came. Find the percent decrease in attendance.

    Problem 6: Price after a raise

    A farmers market stand sells a crate of peaches for $60. The price rises by \(15\%\). Find the new price.

    Original $60 = 100%+15%
    The new price is \(115\%\) of $60.

    Problem 7: New monthly fee

    Jamal's music app costs $14.00 per month. The company raises the fee by \(25\%\). Find the new monthly fee.

    Problem 8: Time after a decrease

    Priya's bus ride takes 90 minutes. A new express route cuts the time by \(30\%\). Find the new ride time.

    Problem 9: Sale price

    A jacket regularly costs $85 and is on sale for \(20\%\) off. Find the sale price.

    Jacket$8520% off
    Price tag for the jacket.

    Problem 10: Estimate error

    Before the fair opened, Diego estimated that 450 people would attend. The actual attendance was 500. Find the percent error of his estimate.

    400450500550Estimate 450Actual 500error 50
    Estimated and actual attendance.

    Problem 11: Percent error

    Liam measured the length of a table as \(12.6\text{ ft}\). The actual length is \(12\text{ ft}\). Find the percent error.

    1111.51212.513Actual 12Measured 12.6error 0.6
    Measured and actual lengths.

    Problem 12: Find the original

    After a \(20\%\) increase, a gym membership costs $60 per month. Find the original monthly price.

    Original = 100%+20%New price = 120% = $60
    The new price is 120% of the original.

    Problem 13: Price before the sale

    Sofia paid $68 for a pair of boots that were on sale for \(15\%\) off. Find the regular price of the boots.

    Problem 14: Which rose more?

    The price of a movie ticket at Theater A rose from $30 to $36. At Theater B, a similar ticket rose from $50 to $58. The table shows the prices.

    TheaterOld priceNew priceA$30$36B$50$58
    Ticket prices.
    1. Find the percent increase at each theater.
    2. Decide which theater had the greater percent increase. Explain why it is not the one with the larger dollar increase.

    Problem 15: Population change

    Mei's town had 8,000 residents in 2020 and 9,200 residents in 2024.

    1. Find the percent increase from 2020 to 2024.
    2. The population then falls by \(10\%\) by 2028. Find the 2028 population.
    02,0004,0006,0008,00010,0008,00020209,2002024
    Town population.

    Problem 16: Discount and tax

    The sale price of a pair of sneakers is $45 after a \(25\%\) discount.

    1. Find the original price.
    2. Sales tax is \(8\%\) of the sale price. Find the total cost.
    Sale price = 75% = $4525% offOriginal = 100%
    The sale price is 75% of the original.

    Problem 17: Up then down

    A trading card is worth $40. Its value rises by \(50\%\), and later the new value falls by \(50\%\).

    1. Find the value after the rise.
    2. Find the value after the fall.
    3. Find the overall percent change from the original $40.
    Start$40Rise+50%Fall-50%
    The two changes in order.

    Problem 18: Markup and discount

    A shop buys a skateboard for $24 and marks up the price by \(75\%\). During a sale the marked price is reduced by \(20\%\).

    1. Find the marked price.
    2. Find the sale price.
    3. The sale price is what percent greater than the $24 cost?

    Problem 19: Two years of growth

    A town has 5,000 residents. Its population grows by \(20\%\) in the first year and by \(10\%\) of the new population in the second year.

    1. Find the population after each year.
    2. Find the overall percent increase over the two years.
    3. Priya says the overall increase is \(30\%\). Explain her mistake.
    Start5,000Year 1+20%Year 2+10%
    Each change applies to the population before it.

    Problem 20: Bookstore markup

    A bookstore buys a novel for $8 and sells it for $14.

    1. Find the markup as a percent of the cost.
    2. Later the selling price is reduced by \(30\%\). Find the reduced price.
    3. The reduced price is what percent greater than the $8 cost?

    Percent Increase, Percent Decrease and Percent Error: Grade 7 worksheet answer key

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