Grade 7hard
Grade 7 Word Problems
Practice grade 7 word problems requiring algebraic thinking and proportional reasoning. Seventh grade word problems integrate multiple mathematical concepts.
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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.A number increased by 15 equals 47. What is the number?
- 2.Three times a number decreased by 8 equals 25. What is the number?
- 3.If 4 workers can complete a job in 6 days, how many days will it take 8 workers?
- 4.A store marks up items by 60%. If an item costs $45, what is the selling price?
- 5.After a 15% discount, a jacket costs $68. What was the original price?
- 6.The ratio of adults to children at a party is 3:7. If there are 60 people total, how many are children?
- 7.A car travels 240 miles using 8 gallons of gas. How far can it travel on 15 gallons?
- 8.If 5 identical books cost $42.50, how much do 8 books cost?
- 9.A recipe serves 6 people. If you want to serve 15 people and the recipe calls for 2 cups of flour, how much flour do you need?
- 10.The length of a rectangle is 3 times its width. If the perimeter is 48 cm, what is the width?
- 11.A sale offers 25% off. If the discount is $18, what was the original price?
- 12.Two numbers are in the ratio 5:3. If their sum is 72, what is the larger number?
- 13.A train travels 180 km in 2.5 hours. At this rate, how far will it travel in 4 hours?
- 14.If 40% of students passed the test and 24 students passed, how many students took the test?
- 15.A number multiplied by 7 and then reduced by 12 equals 51. What is the number?
- 16.The price of a stock increased by 12% to $56. What was the original price?
- 17.A school has boys and girls in the ratio 4:5. If there are 180 girls, how many students are there in total?
- 18.If 6 machines can produce 240 items in 4 hours, how many items can 9 machines produce in 6 hours?
- 19.A 30% tip on a meal is $13.50. What was the cost of the meal?
- 20.The sum of two consecutive even numbers is 86. What is the smaller number?
Show answer key
- 1.A number increased by 15 equals 47. What is the number? Answer: 32
- 2.Three times a number decreased by 8 equals 25. What is the number? Answer: 11
- 3.If 4 workers can complete a job in 6 days, how many days will it take 8 workers? Answer: 3
- 4.A store marks up items by 60%. If an item costs $45, what is the selling price? Answer: 72
- 5.After a 15% discount, a jacket costs $68. What was the original price? Answer: 80
- 6.The ratio of adults to children at a party is 3:7. If there are 60 people total, how many are children? Answer: 42
- 7.A car travels 240 miles using 8 gallons of gas. How far can it travel on 15 gallons? Answer: 450
- 8.If 5 identical books cost $42.50, how much do 8 books cost? Answer: 68
- 9.A recipe serves 6 people. If you want to serve 15 people and the recipe calls for 2 cups of flour, how much flour do you need? Answer: 5
- 10.The length of a rectangle is 3 times its width. If the perimeter is 48 cm, what is the width? Answer: 6
- 11.A sale offers 25% off. If the discount is $18, what was the original price? Answer: 72
- 12.Two numbers are in the ratio 5:3. If their sum is 72, what is the larger number? Answer: 45
- 13.A train travels 180 km in 2.5 hours. At this rate, how far will it travel in 4 hours? Answer: 288
- 14.If 40% of students passed the test and 24 students passed, how many students took the test? Answer: 60
- 15.A number multiplied by 7 and then reduced by 12 equals 51. What is the number? Answer: 9
- 16.The price of a stock increased by 12% to $56. What was the original price? Answer: 50
- 17.A school has boys and girls in the ratio 4:5. If there are 180 girls, how many students are there in total? Answer: 324
- 18.If 6 machines can produce 240 items in 4 hours, how many items can 9 machines produce in 6 hours? Answer: 540
- 19.A 30% tip on a meal is $13.50. What was the cost of the meal? Answer: 45
- 20.The sum of two consecutive even numbers is 86. What is the smaller number? Answer: 42
About This Practice
This practice set features 20 challenging word problems designed for seventh graders. These problems develop problem-solving skills and mathematical reasoning.
Want more practice? See all Grade 7 practice →