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.

Q1:

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%

Q2:

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.

Q3:

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

Q4:

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

Q5:

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%

Q6:

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.

Q7:

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.

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

Q8:

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

Q9:

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.

Q10:

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

Q11:

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

Q12:

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

Q13:

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

Q14:

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

Q15:

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%

Q16:

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.

Q17:

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.

Q18:

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

Q19:

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

Q20:

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.

Q21:

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

Q22:

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.

Q23:

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?

Q24:

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.

Q25:

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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