# 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.

**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.

- A
- B
- C
- D
- E

**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.

Month | April | May |
---|---|---|

Hours Worked | 40 | 50 |

- A, decrease
- B, increase
- C, decrease
- D, increase
- E, 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.

- A, increase
- B, increase
- C, decrease
- D, increase
- E, decrease

**Q9: **

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

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

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 over 24 months, and Account B has an interest of 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 ?

- ANo
- BYes

**Q13: **

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

- A profit
- B profit
- C profit
- D 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 cocoa and 100 g of another type of chocolate containing 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.

- A
- B
- C
- D
- E

**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: , Emma: , Emma made a greater percent of change.
- BVictoria: , Emma: , Emma made a greater percent of change.
- CVictoria: , Emma: , Victoria made a greater percent of change.
- DVictoria: , Emma: , Victoria made a greater percent of change.
- EVictoria: , Emma: , Victoria made a greater percent of change.

**Q19: **

Matthew and Hannah cleared their child’s wardrobe, removing the clothes that have become too small; the number of clothes decreased by . A few weeks later, after having bought some new clothes, they noticed that the number of clothes had increased by . 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 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.

**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: **

of the students in a school are boys. 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 are vegan. By rounding the percentage to the nearest half, calculate an estimate for the number of citizens who are vegan.