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**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.

## Direct and Inverse Proportion Class 8 Worksheets PDF

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.

**Direct and Inverse Proportion Worksheet 1**

## CBSE Class 8 Maths Direct and Inverse Proportion Worksheet

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 CBSE Class 8 notes 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.

**Also Refer Other Worksheets:**

**CBSE Class 8 Maths Rational Numbers Worksheets****CBSE Class 8 Mathematics Factorisation Worksheets****CBSE Class 8 Maths Liner Equations Worksheets**

### Difference between Direct and Inverse Proportion

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 |

### Direct and Inverse Proportion Class 8 Worksheets with Answers

**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

**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

### Direct and Inverse Proportion Class 8 Worksheets (Moderate Level)

**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

### Benefits of Solving Direct and Inverse Proportion Class 8 Worksheets

**Strengthens Understanding:**Consistent practice with worksheets reinforces the foundational principles of direct and inverse proportion, fostering a deeper comprehension of mathematical relationships.**Enhances Problem-Solving:**Working on diverse problems improves analytical and critical thinking skills.**Boosts Exam Performance:**Familiarity with various question types increases confidence and efficiency during exams.**Improves Speed and Accuracy:**Consistent practice enhances the ability to solve problems quickly and correctly.**Supports Self-Assessment:**Solving worksheets allows students to evaluate their understanding and identify areas needing improvement.

## Direct and Inverse Proportion Class 8 Worksheets FAQs

### What Defines Direct and Inverse Proportion?

Direct proportion occurs when two variables change in the same direction, while inverse proportion arises when they change in opposite directions. These concepts are fundamental in mathematics and are often encountered in real-world scenarios, making them essential topics covered in worksheets for students to grasp.

### Distinguishing Between Direct and Inverse Proportion?

To differentiate between direct and inverse proportion, examine how the variables change: if they change in the same direction, it's direct proportion, represented by a straight line on a graph passing through the origin. In contrast, if the variables change in opposite directions, it's inverse proportion, depicted by a hyperbola on a graph. These distinctions are crucial for students to grasp, often emphasized in worksheets to reinforce understanding.

### How can I solve problems involving direct and inverse proportions?

To solve problems involving direct and inverse proportions, you can use the methods of cross-multiplication and setting up proportion equations. For direct proportions, you multiply the corresponding values of the two variables, while for inverse proportions, you multiply one variable with the reciprocal of the other.

### What are some common mistakes to avoid when working with direct and inverse proportions?

Common mistakes in proportion problems include misunderstanding how variables relate, setting up equations incorrectly, and not recognizing if the relationship is direct or inverse. To avoid these errors, carefully read the problem and understand how the variables are connected.

### Why are direct and inverse proportions important to learn?

Understanding direct and inverse proportions is crucial for solving a wide range of mathematical problems and for applications in various fields such as science, engineering, finance, and everyday life. Mastering these concepts enhances problem-solving skills and lays the foundation for more advanced mathematical topics.