Free Percentage Worksheets for Grade 5, 6 and 7 (Printable with Answer Key)

Looking for free percentage worksheets for Grade 5, 6 and 7? This page has 60 printable practice questions (20 for each grade), organized into Easy, Medium and Challenge levels, with a full step-by-step answer key. Students start with fractions, decimals and percents, then move on to real-life problems like discounts, sales tax, tips, percent change and simple interest.

Everything is free. Download the PDF to print at home or in class, or work through the questions right on this page.

What is inside these worksheets

In the US Common Core standards, percent is formally taught in Grade 6 (finding a percent of a quantity) and Grade 7 (multi-step percent problems). Many schools, and curricula like India's CBSE, introduce the basics in Grade 5, so Worksheet 1 works as a gentle starting point.

How to use these worksheets

1. Pick the right level. Start with the grade that matches your student, or one grade lower if they are new to percentages.
2. Do the Easy questions first. Move to Medium, then try the Challenge questions.
3. Check with the answer key. Open the solutions under each worksheet and read the steps for any question that went wrong.
4. Redo the mistakes the next day. This is the fastest way to remember the method.

Percentage formulas you need

A percent means "out of 100". So 25% means 25 out of 100, which is the same as 25/100, 1/4 or 0.25.

Percent = (Part ÷ Whole) × 100

Part = (Percent ÷ 100) × Whole

Whole = Part ÷ (Percent ÷ 100)

Percent Change = (New − Old) ÷ Old × 100

Need a fast example before you start? Read What Is 20% of 500? Answer, Formula and 3 Fast Tricks.

Percentage Worksheet for Grade 5: Basics

Skills practiced: Converting fractions, decimals and percents, and finding simple percents of whole numbers.

Easy Questions 1 to 8

1. Write 50% as a fraction in simplest form.
2. Write 3/4 as a percent.
3. Write 0.4 as a percent.
4. Write 25% as a decimal.
5. What is 10% of 90?
6. What is 50% of 64?
7. What is 100% of 37?
8. Write 1/5 as a percent.

Medium Questions 9 to 16

9. What is 25% of 48?
10. What is 20% of 150?
11. A class has 20 students and 5 are absent. What percent of the class is absent?
12. Write 0.07 as a percent.
13. Which is greater: 3/5 or 55%?
14. What is 75% of 80?
15. Write 45% as a fraction in simplest form.
16. A pizza has 8 slices and 6 are eaten. What percent of the pizza is eaten?

Challenge Questions 17 to 20

17. What is 15% of 60?
18. A box has 40 crayons and 30% of them are red. How many crayons are red?
19. Put these in order from least to greatest: 0.6, 45%, 1/2.
20. Tom saved $30, which is 10% of the price of a bike. What is the price of the bike?

Show answers and step-by-step solutions for Grade 5

1. 1/2. 50% = 50/100. Divide top and bottom by 50 to get 1/2.
2. 75%. 3 ÷ 4 = 0.75, and 0.75 × 100 = 75%.
3. 40%. Multiply by 100: 0.4 × 100 = 40%.
4. 0.25. Divide by 100: 25 ÷ 100 = 0.25.
5. 9. 10% means divide by 10: 90 ÷ 10 = 9.
6. 32. 50% is half: 64 ÷ 2 = 32.
7. 37. 100% is the whole amount, so it is 37.
8. 20%. 1 ÷ 5 = 0.2, and 0.2 × 100 = 20%.
9. 12. 25% is one quarter: 48 ÷ 4 = 12.
10. 30. 10% of 150 = 15, so 20% = 15 × 2 = 30.
11. 25%. 5/20 = 1/4 = 25%.
12. 7%. 0.07 × 100 = 7%.
13. 3/5. 3/5 = 60/100 = 60%, and 60% is greater than 55%.
14. 60. 25% of 80 = 20, so 75% = 20 × 3 = 60.
15. 9/20. 45/100, divide top and bottom by 5 to get 9/20.
16. 75%. 6/8 = 3/4 = 75%.
17. 9. 10% of 60 = 6 and 5% = 3, so 15% = 6 + 3 = 9.
18. 12. 10% of 40 = 4, so 30% = 4 × 3 = 12.
19. 45%, 1/2, 0.6. Change all to percents: 0.6 = 60%, 45%, 1/2 = 50%. Order: 45%, 50%, 60%.
20. $300. 10% is one tenth of the price, so the price is 30 × 10 = $300.

Percentage Worksheet for Grade 6: Core Skills

Skills practiced: Percent of a number, finding the percent, finding the whole, discounts and simple comparisons.

Easy Questions 1 to 8

1. What is 15% of 200?
2. 35 out of 50 students passed a quiz. What percent passed?
3. What is 60% of 150?
4. 12 is what percent of 48?
5. What is 5% of 360?
6. Write 7/20 as a percent.
7. What is 40% of 90?
8. What is 1% of 4,500?

Medium Questions 9 to 16

9. A shirt costs $40 and is on sale for 25% off. What is the sale price?
10. 18 is 30% of what number?
11. Maya scored 42 out of 60 on a test. What is her percentage?
12. A toy's price goes from $50 to $60. What is the percent increase?
13. A bag has 80 marbles and 35% of them are blue. How many marbles are not blue?
14. A phone costs $200 and is 15% off. How much do you save?
15. A school has 500 students and 46% are girls. How many boys are there?
16. 25 is 20% of what number?

Challenge Questions 17 to 20

17. A game costs $60. Store A gives 20% off. Store B sells it for $45. Which store is cheaper?
18. Rahul scored 72% on a test out of 50 marks. How many marks did he get?
19. A recipe uses 250 g of flour. You reduce the flour by 40%. How much flour do you use now?
20. In a survey of 120 students, 45% like cricket, 25% like football and the rest like other sports. How many like other sports?

Show answers and step-by-step solutions for Grade 6

1. 30. 10% of 200 = 20 and 5% = 10, so 15% = 30.
2. 70%. 35 ÷ 50 = 0.7, and 0.7 × 100 = 70%.
3. 90. 0.60 × 150 = 90.
4. 25%. 12 ÷ 48 = 0.25, and 0.25 × 100 = 25%.
5. 18. 10% of 360 = 36, and half of that is 18.
6. 35%. 7/20 = 35/100 = 35%.
7. 36. 10% of 90 = 9, so 40% = 9 × 4 = 36.
8. 45. 1% means divide by 100: 4,500 ÷ 100 = 45.
9. $30. 25% of 40 = 10. Sale price = 40 − 10 = $30.
10. 60. Divide the part by the percent as a decimal: 18 ÷ 0.30 = 60.
11. 70%. 42 ÷ 60 = 0.7, and 0.7 × 100 = 70%.
12. 20%. Change = 10. Percent increase = 10 ÷ 50 × 100 = 20%.
13. 52. Blue = 0.35 × 80 = 28. Not blue = 80 − 28 = 52.
14. $30. 15% of 200 = 0.15 × 200 = $30.
15. 270. Girls = 0.46 × 500 = 230. Boys = 500 − 230 = 270.
16. 125. 25 ÷ 0.20 = 125.
17. Store B. Store A: 20% of 60 = 12, so the price is $48. Store B is $45, which is cheaper.
18. 36. 0.72 × 50 = 36.
19. 150 g. 40% of 250 = 100. New amount = 250 − 100 = 150 g.
20. 36. Rest = 100% − 45% − 25% = 30%. 30% of 120 = 36.

Percentage Worksheet for Grade 7: Real-Life Problems

Skills practiced: Discounts, sales tax, tips, percent change, markup, simple interest and working backward.

Easy Questions 1 to 8

1. A jacket costs $80 and has a 15% discount. What is the final price?
2. The sales tax is 8%. What is the total cost of a $25 item, including tax?
3. You want to leave an 18% tip on a $50 meal. How much is the tip?
4. A town grows from 2,500 people to 3,000 people. What is the percent increase?
5. A price drops from $120 to $90. What is the percent decrease?
6. Sam got 18 out of 24 questions correct. What percent is that?
7. What is 12% of 250?
8. Write 3/8 as a percent.

Medium Questions 9 to 16

9. You deposit $1,000 at 5% simple interest per year. How much interest do you earn in 3 years?
10. A store buys a bag for $40 and marks it up by 60%. What is the selling price?
11. 40% of a number is 36. What is the number?
12. A $100 item is marked down 20%, and then an extra 10% is taken off the new price. What is the final price?
13. A $60 meal has 8% tax and a 15% tip, both on the $60. What is the total?
14. A worker earns $2,400 a month and gets a 5% raise. What is the new monthly pay?
15. A population of 8,000 decreases by 15%. What is the new population?
16. A pair of shoes costs $90 and is 25% off. What is the sale price?

Challenge Questions 17 to 20

17. After a 20% discount, a bike costs $160. What was the original price?
18. A $80 item goes up by 25%, and then the new price goes down by 25%. What is the final price?
19. $2,500 earns $300 simple interest in 3 years. What is the yearly interest rate?
20. A shirt is marked up 50% and sells for $90. What was the cost price?

Show answers and step-by-step solutions for Grade 7

1. $68. Discount = 0.15 × 80 = 12. Final price = 80 − 12 = $68.
2. $27. Tax = 0.08 × 25 = $2. Total = 25 + 2 = $27.
3. $9. 0.18 × 50 = $9.
4. 20%. Change = 500. 500 ÷ 2,500 × 100 = 20%.
5. 25%. Change = 30. 30 ÷ 120 × 100 = 25%.
6. 75%. 18 ÷ 24 = 0.75, so 75%.
7. 30. 0.12 × 250 = 30.
8. 37.5%. 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5%.
9. $150. Interest = 1,000 × 0.05 × 3 = $150.
10. $64. Markup = 0.60 × 40 = 24. Selling price = 40 + 24 = $64.
11. 90. 36 ÷ 0.40 = 90. Check: 40% of 90 = 36.
12. $72. 20% off: 100 − 20 = $80. Then 10% of 80 = 8, so 80 − 8 = $72.
13. $73.80. Tax = 0.08 × 60 = 4.80. Tip = 0.15 × 60 = 9.00. Total = 60 + 4.80 + 9.00 = $73.80.
14. $2,520. Raise = 0.05 × 2,400 = 120. New pay = 2,400 + 120 = $2,520.
15. 6,800. Decrease = 0.15 × 8,000 = 1,200. New population = 8,000 − 1,200 = 6,800.
16. $67.50. 25% of 90 = 22.50. Sale price = 90 − 22.50 = $67.50.
17. $200. The sale price is 80% of the original. 160 ÷ 0.80 = $200.
18. $75. Up 25%: 80 + 20 = $100. Down 25% of 100 = 25, so the final price is $75, not $80.
19. 4%. Rate = Interest ÷ (Principal × Years) = 300 ÷ (2,500 × 3) = 0.04 = 4%.
20. $60. Selling price is 150% of cost. 90 ÷ 1.5 = $60.

Mental math tricks for percentages

• 10%: divide by 10. 10% of 360 = 36.
• 5%: half of 10%. 5% of 360 = 18.
• 15%: 10% plus 5%. 15% of 360 = 54.
• 1%: divide by 100. 1% of 4,500 = 45.
• 50%, 25%, 20%: divide by 2, 4 and 5.

Common mistakes students make

• Forgetting to multiply by 100 when changing a decimal to a percent.
• Dividing by the new value instead of the original value when finding percent change.
• Adding two discounts together. A 20% discount followed by a 10% discount is 28% off in total, not 30%.
• Writing 5% as 0.5 instead of 0.05.
• Thinking a 25% increase followed by a 25% decrease brings you back to the start. It does not (see Grade 7, question 18).

Tips for teachers and parents

• Start with 10%. Once a student can find 10% of any number, 5%, 15%, 20% and 50% become easy.
• Connect to real life. Ask students to work out the sale price in a store or the tip at a restaurant. For tax examples, see our GST Calculator guide.
• Practice little and often. Ten minutes a day beats one long session a week.
• Use a visual. Draw a 10 × 10 grid or a bar split into 10 parts to show what 10%, 25% and 50% look like.
• Make it a game. Timed challenges keep students engaged and build mental math speed.

Practice with free percentage games

Worksheets build understanding, and games build speed and confidence. Our website has free percentage games, including a 60-second speed test, discount challenges and mental math practice. No sign-up is needed.

Play Free Percentage Games

Frequently asked questions

What grade do students learn percentages?

Percentages are usually introduced in Grades 5 and 6 and extended in Grade 7. In the US Common Core standards, finding a percent of a quantity appears in Grade 6 (6.RP.A.3c) and multi-step percent problems in Grade 7 (7.RP.A.3). In India, percentages are taught from about Grade 5 or 6.

How do I find a percentage of a number quickly?

Convert the percent to a decimal and multiply. For example, 15% of 200 is 0.15 × 200 = 30. For mental math, find 10% first by dividing by 10, then build up to 5%, 15% or 20%.

How do I find the percent increase or decrease?

Subtract the old value from the new value, divide by the old (original) value, and multiply by 100. For example, going from $50 to $60 is (10 ÷ 50) × 100 = 20% increase.

How do I find the original price after a discount?

Subtract the discount percent from 100 to see what percent you paid, then divide the sale price by that percent as a decimal. If a bike costs $160 after 20% off, you paid 80%, so 160 ÷ 0.80 = $200.

Can I print these percentage worksheets?

Yes. Download the free PDF and print it as many times as you need for home or classroom use. You can also press Ctrl + P (Cmd + P on Mac) to print this page.

How many questions should a student do each day?

Five to ten questions a day is enough to build a strong habit. Start with the Easy questions, move to Medium, and use the Challenge questions when the student feels confident.

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• What Is 20% of 500? Answer, Formula and 3 Fast Tricks
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• Percentage Kaise Nikale? Hindi Mein Aasan Tarika (for Hindi speaking students)

Final thoughts: Percentages become easy with regular practice. Start with the Easy questions, check each answer with the step-by-step key, and move up one level at a time. Bookmark this page and come back whenever you need fresh practice.