FreeMath
Grade 6hard

Grade 6 Word Problems

Practice grade 6 word problems involving ratios, proportions, and percents. Sixth grade word problems require applying proportional reasoning to real-world situations.

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All 20 Practice Problems

Every question in this set. Solve them on paper, or use the interactive tool above for instant feedback and hints.

  1. 1.A shirt originally costs $40. It is on sale for 25% off. What is the sale price?
  2. 2.If 30% of a number is 45, what is the number?
  3. 3.A recipe serves 4 people. How much of each ingredient is needed to serve 10 people if the original recipe calls for 2 cups of flour?
  4. 4.The ratio of boys to girls in a class is 3:5. If there are 40 students total, how many are boys?
  5. 5.A store marks up items by 40%. If an item costs $25, what is the selling price?
  6. 6.If you scored 45 out of 60 on a test, what percent did you score?
  7. 7.A map scale is 1 cm = 25 km. If two cities are 7.5 cm apart on the map, how far apart are they?
  8. 8.30% of the students in a school ride the bus. If 150 students ride the bus, how many students are in the school?
  9. 9.A jacket is reduced by 15%. If the original price was $80, what is the discount amount?
  10. 10.The ratio of red to blue to green marbles is 2:3:5. If there are 50 marbles total, how many are green?
  11. 11.A car's value depreciates by 20% each year. If it costs $25,000 new, what is its value after one year?
  12. 12.If 15% of a number equals 36, what is 40% of that number?
  13. 13.A mixture contains water and juice in the ratio 3:7. If there are 500 ml of mixture, how much juice is there?
  14. 14.A store offers a 10% discount. If you pay $63, what was the original price?
  15. 15.In a survey, 65% of 200 people preferred pizza. How many people preferred pizza?
  16. 16.The ratio of cats to dogs at a shelter is 4:5. If there are 72 animals total, how many are cats?
  17. 17.A salesperson earns 8% commission on sales. How much commission is earned on $1,250 in sales?
  18. 18.If the price of an item increases by 25% to become $75, what was the original price?
  19. 19.A rectangle's length is increased by 50% and width stays the same. By what percent does the area increase?
  20. 20.Three friends share a prize in the ratio 2:3:5. If the total prize is $500, how much does the person with the largest share get?
Show answer key
  1. 1.A shirt originally costs $40. It is on sale for 25% off. What is the sale price? Answer: 30
  2. 2.If 30% of a number is 45, what is the number? Answer: 150
  3. 3.A recipe serves 4 people. How much of each ingredient is needed to serve 10 people if the original recipe calls for 2 cups of flour? Answer: 5
  4. 4.The ratio of boys to girls in a class is 3:5. If there are 40 students total, how many are boys? Answer: 15
  5. 5.A store marks up items by 40%. If an item costs $25, what is the selling price? Answer: 35
  6. 6.If you scored 45 out of 60 on a test, what percent did you score? Answer: 75
  7. 7.A map scale is 1 cm = 25 km. If two cities are 7.5 cm apart on the map, how far apart are they? Answer: 187.5
  8. 8.30% of the students in a school ride the bus. If 150 students ride the bus, how many students are in the school? Answer: 500
  9. 9.A jacket is reduced by 15%. If the original price was $80, what is the discount amount? Answer: 12
  10. 10.The ratio of red to blue to green marbles is 2:3:5. If there are 50 marbles total, how many are green? Answer: 25
  11. 11.A car's value depreciates by 20% each year. If it costs $25,000 new, what is its value after one year? Answer: 20000
  12. 12.If 15% of a number equals 36, what is 40% of that number? Answer: 96
  13. 13.A mixture contains water and juice in the ratio 3:7. If there are 500 ml of mixture, how much juice is there? Answer: 350
  14. 14.A store offers a 10% discount. If you pay $63, what was the original price? Answer: 70
  15. 15.In a survey, 65% of 200 people preferred pizza. How many people preferred pizza? Answer: 130
  16. 16.The ratio of cats to dogs at a shelter is 4:5. If there are 72 animals total, how many are cats? Answer: 32
  17. 17.A salesperson earns 8% commission on sales. How much commission is earned on $1,250 in sales? Answer: 100
  18. 18.If the price of an item increases by 25% to become $75, what was the original price? Answer: 60
  19. 19.A rectangle's length is increased by 50% and width stays the same. By what percent does the area increase? Answer: 50
  20. 20.Three friends share a prize in the ratio 2:3:5. If the total prize is $500, how much does the person with the largest share get? Answer: 250

About This Practice

This practice set features 20 challenging word problems designed for sixth graders. These problems develop critical thinking and connect mathematics to everyday applications.

Want more practice? See all Grade 6 practice →