Grade 8 Reverse Percent Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 8 Reverse Percent Practice
Solve each problem. Show your work.
- 1.After a 50% decrease, the value is 17.5. What was the original value?
- 2.After a 25% increase, the value is 237.5. What was the original value?
- 3.After a 50% decrease, the value is 90. What was the original value?
- 4.After a 50% decrease, the value is 37.5. What was the original value?
- 5.After a 20% decrease, the value is 124. What was the original value?
- 6.After a 50% increase, the value is 112.5. What was the original value?
- 7.After a 20% increase, the value is 120. What was the original value?
- 8.After a 25% increase, the value is 62.5. What was the original value?
Show answer key
- Question 1: 35
- Question 2: 190
- Question 3: 180
- Question 4: 75
- Question 5: 155
- Question 6: 75
- Question 7: 100
- Question 8: 50
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About These Worksheets
Grade 8 students are ready for reverse percent because they can combine percent fluency with early algebraic equation-solving.
Reverse percent worksheets ask students to work backward from a final amount to the original value. These problems are more demanding than ordinary percent questions because the percent has already been applied: a jacket costs $72 after a 20% discount, and students must determine the price before the sale. The key idea is that the final amount represents a known percentage of the original, not a percentage of itself.
Students practise discounts, markups, tax-inclusive prices, and population-change contexts. They learn to set up equations such as 80% of the original is 72, then divide by 0.80 to recover the starting value. Reverse percent problems prepare students for algebra because they require defining an unknown, choosing the correct multiplier, and checking whether the answer makes sense in context. They are also highly practical for real-life price comparisons and financial decisions.
Skills Practised
- Identifying the final value and the unknown original value
- Choosing the correct percent multiplier after a change
- Solving reverse discount and markup problems
- Using equations to represent reverse percent situations
- Checking whether the recovered original value is reasonable
Parent Tip: Encourage your child to write a sentence first, such as '72 is 80% of the original.' That wording often makes the equation much clearer than starting with numbers alone.