Lesson Worksheet: Percentage Change Mathematics • 7th Grade

In this worksheet, we will practice applying a percentage change and working out the percentage increase or decrease.


A sports club’s entry ticket costs $40 on a weekday and $48 on the weekend. Determine the percentage discount to the nearest percent if Mason goes to the club on a weekday instead of a weekend.

  • A88%
  • B12%
  • C83%
  • D17%
  • E92%


A store is having a sale on bicycles, where the original price of the bicycle is $195, and its sale price is $164.73. Determine the percentage discount to the nearest percent.


Find the percent of change from $735 to $545, rounding your answer to the nearest whole percent. Is this change an increase or a decrease?

  • A26%, decrease
  • B35%, increase
  • C65%, increase
  • D26%, increase
  • E74%, decrease


Determine, to the nearest whole percent, the percent of change of $186.40 to $235. State whether it is an increase or a decrease.

  • A79%, decrease
  • B74%, increase
  • C21%, decrease
  • D26%, increase
  • E26%, decrease


At last year’s half marathon, Mason’s time was 2 hours and 6 minutes. This year, he ran the half marathon in 1 hour and 59 minutes. What percent of his previous time is this? Give your answer correct to one decimal place.

  • A51.4%
  • B5.6%
  • C1.2%
  • D48.6%
  • E94.4%


Find the simple interest earned on a savings account where $5,600 is deposited for 7 years if the interest rate is 10% per year.


The table shows the number of hours Emma spent babysitting during the months of April and May. If she charges $6.50 per hour, determine the percent of change in the amount of money earned in that time period and whether it is an increase or a decrease.

Hours Worked4050
  • A20%, decrease
  • B80%, increase
  • C25%, decrease
  • D20%, increase
  • E25%, increase


Last year, Ethan could walk 4 miles in 100 minutes. Today, he can walk 4 miles in 80 minutes. Determine the percent of change and state whether it is an increase or a decrease.

  • A12%, increase
  • B25%, increase
  • C80%, decrease
  • D75%, increase
  • E20%, decrease


At the start of a sale, Jennifer’s Shoes reduces prices by 20%. After one week, the sale prices are reduced again by 25%.

Olivia’s Footwear reduces its prices by 25% at the start of the sale and then, after a week, reduces the sale prices by 20%.

Compare the overall reduction in the two stores after week one of the sale.

  • AThe overall reduction is the same.
  • BOlivia’s Footwear has the bigger overall reduction.
  • CJennifer’s Shoes has the bigger overall reduction.


Jacob invested $2,800 in a new business. Given that, after 27 months, he earned $630, determine the interest rate that was agreed upon.


Isabella wants to invest an amount of $1,400. Her bank offers two savings plans that use simple interest. Account A has an interest of 9% over 24 months, and Account B has an interest of 6% over 12 months. If she wants to have $1,600 by the end of the term, determine which account will help her achieve her goal.

  • AAccount B
  • BAccount A


Liam has $2,100 and he wants to save up to buy a car. Liam’s goal is to have $4,000 after 9 years. Is this possible if he invests with a simple rate of return of 7%?

  • ANo
  • BYes


A merchant purchased 25 meters of cloth at 50 LE a meter. He sold 84% of the cloth at a 30% profit, and the rest was sold for 20% less than the merchant paid. Find the percentage profit or loss.

  • A22% profit
  • B23% profit
  • C19% profit
  • D12% profit


Find the percentage change from $835 to $690. Round to the nearest whole percent.


David used 75 g of a chocolate containing 80%‎ cocoa and 100 g of another type of chocolate containing 65%‎ cocoa. He mixed the chocolate with 150 g of butter, 250 g of flour, 150 g of sugar, and 2 eggs weighing 50 g each. What is the percent of cocoa in his chocolate cake before he bakes it? Give your answer correct to one decimal place if necessary.

  • A15.2%
  • B17.2%
  • C16.1%
  • D22.6%
  • E21.2%


A pair of headphones costs $100 at a store. Another store sells the same pair for $159. Determine the percentage increase in the price at the second store.


Victoria and Emma visited the bank on the same day. Victoria deposited $680 into her savings account, and Emma deposited $260 into his. Six months later, Victoria’s account balance increased to $748, whereas Emma’s account balance increased to $299. Determine the percentage of change for both accounts over that period, and find who had a greater percent of change.

  • AVictoria: 90%, Emma: 85%, Emma made a greater percent of change.
  • BVictoria: 10%, Emma: 15%, Emma made a greater percent of change.
  • CVictoria: 90%, Emma: 85%, Victoria made a greater percent of change.
  • DVictoria: 10%, Emma: 85%, Victoria made a greater percent of change.
  • EVictoria: 10%, Emma: 15%, Victoria made a greater percent of change.


Between 2006 and 2007, smartphone users increased from 7.7 million to 31 million. Determine, to the nearest whole percent, the percentage increase.


Matthew and Hannah cleared their child’s wardrobe, removing the clothes that have become too small; the number of clothes decreased by 20%. A few weeks later, after having bought some new clothes, they noticed that the number of clothes had increased by 25%. Compared to the number of clothes before the clearance, is the new number of clothes bigger, smaller, or the same?

  • ABigger
  • BSmaller
  • CThe same


Charlotte sold her house at 116.6%‎ of the price she had bought it for six years before, which made her a profit of $39,000. How much had Charlotte bought her house for? Give your answer to the nearest thousand.


A book club had 60 members last year. This year, it has 48 members. Determine the percentage decrease in the number of club members.


When Mason was 9 years old, he was 49 inches tall. He is now 12 years old and 56 inches tall. Determine, to the nearest tenth, the percentage increase in his height.


50% of the students in a school are boys. 76% of those boys enjoy football. What percentage of the students at the school are boys who enjoy football?


A road has 7 lanes. Determine, to the nearest whole percent, the percentage change in the number of lanes if an extra lane is added in each direction.


In a country with a population of 270 million, about 0.6% are vegan. By rounding the percentage to the nearest half, calculate an estimate for the number of citizens who are vegan.

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