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By Swati Singh
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Updated on 15 Dec 2025, 13:00 IST
Direct and Inverse Proportion Class 8 Worksheets: Explore CBSE Class 8 Mathematics, Chapter 12 focusing on direct and inverse proportions. Practicing questions from this chapter is crucial for scoring well. Access chapter-wise worksheets and solutions to reinforce understanding. Regular practice enhances comprehension and boosts exam performance.
Download CBSE Class 8 Worksheets curated by expert teachers aligned with the latest syllabus. These worksheets provide essential practice and help in mastering direct and inverse proportion concepts effectively.
Students can download Direct and Inverse Proportion Class 8 Worksheets PDF tailored to the latest syllabus. These worksheets include exercises and solutions designed to help students in securing good marks in exams. Practice with these worksheets ensures a thorough grasp of the topic and facilitates efficient exam preparation.
Students can easily access and download printable PDF worksheets on direct and inverse proportions designed specifically for Class 8. These worksheets feature a range of exercises with questions and answers crafted to assist students in achieving excellent exam results. By using these What are Direct & Inverse Proportion worksheets?
These worksheets provide practice on problems involving direct proportion (both quantities increase or decrease together) and inverse proportion (one increases while the other decreases).on direct and inverse proportion, students can enhance their comprehension of the topic and succeed academically. Let’s delve into solving some of the exercises below to improve our grasp of this chapter.
| Property | Direct Proportion | Inverse Proportion |
| Relationship | When two variables change in the same direction | When two variables change in opposite directions |
| Formula | y=kxy = kxy=kx (where kkk is a constant) | y=kxy = \frac{k}{x}y=xk (where kkk is a constant) |
| Graph | A straight line passing through the origin (0,0)(0,0)(0,0) | A hyperbola |
| Example | The more hours you work, the more money you earn | The more people sharing a pizza, the smaller the slice each gets |
| Equation | y=kxy = kxy=kx | xy=kxy = kxy=k |
Q1. If 4 workers can build a wall in 6 days, how many days will it take for 12 workers to build the same wall?
a) 2 days
b) 3 days
c) 4 days
d) 5 days
Answer: b) 3 days
Q2. A car travels 200 km in 4 hours. How long will it take to travel 300 km at the same speed?
a) 5 hours
b) 6 hours
c) 7.5 hours
d) 8 hours
Answer: b) 6 hours
Q3. If 5 pens cost $25, what is the cost of 8 pens?
a) $40
b) $45
c) $50
d) $55
Answer: c) $50
Q4. Three taps can fill a tank in 4 hours. How long will it take for 6 taps to fill the same tank?
a) 1 hour
b) 1.5 hours
c) 2 hours
d) 2.5 hours
Answer: a) 1 hour
Q5. If 15 students can paint a wall in 6 hours, how many students are needed to paint the same wall in 3 hours?
a) 20 students
b) 25 students
c) 30 students
d) 35 students
Answer: b) 25 students
Q6. A train takes 3 hours to travel 180 km. How long will it take to travel 240 km at the same speed?
a) 4 hours
b) 5 hours
c) 6 hours
d) 7 hours
Answer: c) 6 hours
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Q7. If 8 kg of rice costs $32, what is the cost of 12 kg of rice?
a) $36
b) $40
c) $44
d) $48
Answer: b) $40
Q8. Two machines can produce 100 units in 5 hours. How many units can 5 machines produce in the same time?
a) 200 units
b) 250 units
c) 300 units
d) 350 units
Answer: c) 300 units
Q9. If 6 workers can build a road in 12 days, how many days will it take for 9 workers to build the same road?
a) 6 days
b) 7 days
c) 8 days
d) 9 days
Answer: b) 7 days
Q10. A garden can be watered by 6 taps in 2 hours. How long will it take for 12 taps to water the same garden?
a) 1 hour
b) 1.5 hours
c) 2 hours
d) 2.5 hours
Answer: a) 1 hour
Q11. If 20 bottles are packed in 15 boxes, how many bottles can be packed in each box when there are 25 boxes?
A) 0.6 bottles
B) 0.8 bottles
C) 1 bottle
D) 1.2 bottles
Answer: B) 0.8 bottles
Q12. A car takes 1.5 hours to reach a destination traveling at 80 km/h. How long will it take to reach the same destination if the car travels at 60 km/h?
A) 1.5 hours
B) 2 hours
C) 2.5 hours
D) 3 hours
Answer: B) 2 hours
Q13. If 5 kg of sugar contains 6 × 10^8 crystals, how many sugar crystals are there in 7 kg of sugar?
A) 8.4 × 10^8 crystals
B) 9.2 × 10^8 crystals
C) 7.8 × 10^8 crystals
D) 8.0 × 10^8 crystals
Answer: A) 8.4 × 10^8 crystals
Q14. If 30 students can be seated in 5 classrooms, how many students can be seated in 8 classrooms of the same size?
A) 40 students
B) 48 students
C) 50 students
D) 60 students
Answer: D) 48 students
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These worksheets provide practice on problems involving direct proportion (both quantities increase or decrease together) and inverse proportion (one increases while the other decreases).
They are ideal for middle school students, especially Class 8 learners, and anyone building a strong foundation in ratio and proportion.
They cover identification of direct and inverse proportion, solving word problems, using tables, and applying formulas in real-life situations.
Questions usually include word problems, fill-in-the-blanks, numerical problems, and application-based scenarios.
Yes, most worksheets are designed according to standard Class 8 mathematics curricula, including CBSE and similar boards.
Many worksheets provide answer keys, and some include detailed solutions to help students understand the method clearly.
They improve logical thinking, problem-solving skills, and accuracy in handling real-world mathematical relationships.
Yes, they are suitable for classwork, homework, revision, and self-study practice.