Free Percentage Worksheets With Answers
These free percentage worksheets cover finding a percent of a number, percent increase and decrease, discounts, and reverse percentage problems, with the working shown for every answer. Percentages are the most visibly useful topic in middle school math, which makes them a good place to rebuild engagement. The same skills can be generated as a printable percentages test with an answer key.
Grades 5–7 · 9 free questions with worked answers · No sign-up to practise
Skills covered in these percentage worksheets
- Converting between fractions, decimals and percentages
- Finding a percent of a quantity
- Percent increase and percent decrease
- Discounts, sales tax and tips
- Expressing one number as a percentage of another
- Reverse percentage problems
Free percentage practice questions with answers
Every question below includes the final answer and the steps behind it, so the sheet doubles as its own answer key. Filter by grade or difficulty to build the set you need.
- Question 1easyGrade 5
What is 10% of 250?
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Answer: 25
Ten percent means dividing by 10, so 250 ÷ 10 = 25.
- Question 2easyGrade 5
Write 45% as a decimal.
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Answer: 0.45
Percent means per hundred, so divide by 100: 45 ÷ 100 = 0.45.
- Question 3easyGrade 5
What is 25% of 80?
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Answer: 20
Twenty-five percent is one quarter, so 80 ÷ 4 = 20.
- Question 4mediumGrade 6
What is 15% of 60?
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Answer: 9
Convert to a decimal first: 0.15 × 60 = 9. Alternatively 10% is 6 and 5% is 3, and 6 + 3 = 9.
- Question 5mediumGrade 6
A $40 jacket is discounted by 30%. What is the sale price?
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Answer: $28
The discount is 0.30 × 40 = 12, so the sale price is 40 − 12 = 28. Using the multiplier, 0.7 × 40 = 28.
- Question 6mediumGrade 6
A score rises from 40 to 50. What is the percent increase?
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Answer: 25%
The increase is 10. Divide by the original value, not the new one: 10 ÷ 40 = 0.25, which is 25%.
- Question 7hardGrade 7
After a 20% discount an item costs $64. What was the original price?
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Answer: $80
The multiplier for a 20% decrease is 0.8, so divide rather than multiply: 64 ÷ 0.8 = 80.
- Question 8hardGrade 7
A price rises 10% then falls 10%. Is the final price the same as the start?
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Answer: No — it is 1% lower
The combined multiplier is 1.1 × 0.9 = 0.99, so the final price is 99% of the original. The decrease acts on a larger base than the increase did.
- Question 9hardGrade 7
18 of 24 students passed. What percentage passed?
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Answer: 75%
18 ÷ 24 = 0.75, and 0.75 × 100 gives 75%.
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Percent means 'per hundred'
Every percentage question becomes easier once a student converts the percent into a decimal or a fraction first. Fifteen percent is 0.15 or 15/100, and 15% of 80 is simply 0.15 × 80. Students who memorise a separate rule for each question type — one for discounts, one for tips, one for tax — end up with four rules they confuse under pressure, when one conversion would have covered all of them.
Increase, decrease, and the multiplier shortcut
A 20% increase can be computed in two steps, or in one by multiplying by 1.2. A 20% decrease is a multiplication by 0.8. The multiplier method is faster, less error-prone, and it is the only practical approach once questions chain two changes together. Reverse problems, where the final price is given and the original is wanted, require dividing by the multiplier rather than multiplying — a distinction the hard questions below make explicit.
Common mistakes to watch for
- Applying a 20% decrease then a 20% increase and expecting to return to the original amount.
- Finding the discount amount but forgetting to subtract it from the original price.
- Using the new value instead of the original value as the base when calculating percent change.
- Confusing 0.5% with 50% when converting a percentage into a decimal.