Grade 8hard
Grade 8 Word Problems
Practice grade 8 word problems requiring algebraic and geometric reasoning. Eighth grade word problems integrate multiple mathematical concepts and real-world applications.
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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.The sum of three consecutive integers is 78. What is the largest integer?
- 2.A rectangle has a perimeter of 56 cm. If the length is 4 cm more than the width, what is the length?
- 3.Two numbers are in the ratio 3:5. If their difference is 14, what is the larger number?
- 4.A ladder 13 feet long leans against a wall. The base is 5 feet from the wall. How high does the ladder reach?
- 5.The price of a shirt after a 20% discount is $48. What was the original price?
- 6.Three times a number decreased by 7 equals 29. What is the number?
- 7.A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
- 8.If y varies directly with x and y=15 when x=5, find y when x=8.
- 9.A car travels at 60 mph for 2 hours and then 40 mph for 3 hours. What is the total distance?
- 10.The sum of two numbers is 50 and their difference is 16. What is the larger number?
- 11.A triangle has angles in the ratio 2:3:4. What is the measure of the largest angle?
- 12.If 5 less than 3 times a number is 25, what is the number?
- 13.A pole casts a 15-foot shadow. At the same time, a 6-foot person casts a 4.5-foot shadow. How tall is the pole?
- 14.The product of two consecutive positive integers is 72. What is the larger integer?
- 15.A wire 60 cm long is bent into a rectangle. If the width is 10 cm, what is the length?
- 16.If y = 3x - 5 and x = 4, what is the value of y?
- 17.A store sells shirts for $25 each. With a 15% discount, how much does one shirt cost?
- 18.The area of a square is 144 sq cm. What is the perimeter?
- 19.Two angles are supplementary. One is 40 degrees more than the other. Find the larger angle.
- 20.A number is doubled and then 8 is added. The result is 26. What is the original number?
Show answer key
- 1.The sum of three consecutive integers is 78. What is the largest integer? Answer: 27
- 2.A rectangle has a perimeter of 56 cm. If the length is 4 cm more than the width, what is the length? Answer: 16
- 3.Two numbers are in the ratio 3:5. If their difference is 14, what is the larger number? Answer: 35
- 4.A ladder 13 feet long leans against a wall. The base is 5 feet from the wall. How high does the ladder reach? Answer: 12
- 5.The price of a shirt after a 20% discount is $48. What was the original price? Answer: 60
- 6.Three times a number decreased by 7 equals 29. What is the number? Answer: 12
- 7.A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse? Answer: 10
- 8.If y varies directly with x and y=15 when x=5, find y when x=8. Answer: 24
- 9.A car travels at 60 mph for 2 hours and then 40 mph for 3 hours. What is the total distance? Answer: 240
- 10.The sum of two numbers is 50 and their difference is 16. What is the larger number? Answer: 33
- 11.A triangle has angles in the ratio 2:3:4. What is the measure of the largest angle? Answer: 80
- 12.If 5 less than 3 times a number is 25, what is the number? Answer: 10
- 13.A pole casts a 15-foot shadow. At the same time, a 6-foot person casts a 4.5-foot shadow. How tall is the pole? Answer: 20
- 14.The product of two consecutive positive integers is 72. What is the larger integer? Answer: 9
- 15.A wire 60 cm long is bent into a rectangle. If the width is 10 cm, what is the length? Answer: 20
- 16.If y = 3x - 5 and x = 4, what is the value of y? Answer: 7
- 17.A store sells shirts for $25 each. With a 15% discount, how much does one shirt cost? Answer: 21.25
- 18.The area of a square is 144 sq cm. What is the perimeter? Answer: 48
- 19.Two angles are supplementary. One is 40 degrees more than the other. Find the larger angle. Answer: 110
- 20.A number is doubled and then 8 is added. The result is 26. What is the original number? Answer: 9
About This Practice
This practice set features 20 challenging word problems designed for eighth graders. These problems develop critical thinking and prepare students for high school mathematics.
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