Class 8 Maths Worksheet: Direct and Inverse Proportions

Looking for some extra practice with direct and inverse proportions in your 8th grade math class? You might want to check out some free PDF worksheets that are available for download online. These resources can give you additional problems to work through and help reinforce your understanding of this important mathematical concept.

Direct and inverse proportion are important concepts in mathematics that are taught in class 8. These concepts are used to describe the relationship between two variables. In direct proportion, as one variable increases, the other variable also increases, while in inverse proportion, as one variable increases, the other variable decreases.

To help students understand these concepts better, worksheets with answers are often provided. These worksheets consist of direct and inverse proportion class 8 extra questions, direct and inverse proportion class 8 worksheets with answers, and direct and inverse variation class 8 worksheets with answers.

The direct and inverse proportion class 8 worksheet with answers contains a series of questions that require students to identify whether the given variables are in direct or inverse proportion. They are also required to solve problems that involve direct and inverse proportion. The direct and inverse proportion class 8 worksheets with answers also include questions that require students to identify the constant of proportionality.

The direct and inverse proportion class 8 worksheets are designed to provide additional practice for students to reinforce their understanding of these concepts. These worksheets contain a variety of questions that range in difficulty, ensuring that students are challenged at the appropriate level. Examples of direct and inverse proportion are provided to help students better understand how these concepts are applied in real-life situations.

The direct and inverse proportion questions with solutions pdf is another resource that can help students master these concepts. This pdf includes a series of questions with solutions that are designed to test students' understanding of direct and inverse proportion. By using this pdf, students can practice solving problems related to direct and inverse proportion and check their answers against the solutions provided.

In addition to direct and inverse proportion, students are also introduced to direct and indirect variation in class 8. The direct and inverse variation class 8 worksheets with answers are designed to help students differentiate between these concepts and provide practice in solving problems related to them.

The direct and inverse proportion class 8 worksheets pdf contains a collection of questions that cover all aspects of these concepts. This pdf can be used by students to practice and improve their understanding of direct and inverse proportion.

Overall, the direct and inverse proportion class 8 worksheet with answers, direct and inverse proportion class 8 extra questions, direct and inverse proportion class 8 worksheets with answers, and direct and inverse variation class 8 worksheets with answers are valuable resources for students who are learning about these concepts. By using these resources, students can improve their problem-solving skills and build a solid foundation in mathematics

Direct and inverse proportion class 8 formulas

Direct Proportion: Two quantities are said to be directly proportional if their ratio is constant. In other words, if one quantity increases, the other quantity also increases, and if one quantity decreases, the other quantity also decreases. The formula for direct proportion is:

If y is directly proportional to x, then y = kx, where k is the constant of proportionality.

Inverse Proportion: Two quantities are said to be inversely proportional if their product is constant. In other words, if one quantity increases, the other quantity decreases and vice versa. The formula for inverse proportion is:

If y is inversely proportional to x, then y = k/x or xy = k, where k is the constant of proportionality.

Direct proportion and indirect proportion real life examples

1. Direct Proportion:

• If you increase the amount of ingredients while cooking, the quantity of food produced will also increase.
• The more hours you work, the more money you earn.
• If you drive at a higher speed, you will reach your destination faster.
• The more people you invite to a party, the more food and drinks you will need.

2. Inverse Proportion:

• The more people you invite to a party, the less time you will have to spend with each guest.
• The faster you drive, the less time it will take to cover a fixed distance.
• The more people share a pizza, the smaller each person's slice will be.
• The fewer people you have to help you with a task, the longer it will take to complete.

Direct proportion and indirect proportion extra questions and answers

1. If 12 workers can build a wall in 24 days, how many workers will be needed to build the same wall in 18 days? Solution: Let the number of workers required be x. According to the direct proportion, we have 12 : x = 24 : 18 Solving the above proportion, we get x = (12 × 18) / 24 x = 9 Therefore, 9 workers will be required to build the wall in 18 days.

2. If a car travels 360 km in 6 hours, how many kilometers will it travel in 8 hours? Solution: Let the number of kilometers traveled in 8 hours be x. According to the direct proportion, we have 360 : x = 6 : 8 Solving the above proportion, we get x = (360 × 8) / 6 x = 480 Therefore, the car will travel 480 km in 8 hours.

3. A recipe requires 3 cups of flour for 6 servings. How many cups of flour are required for 12 servings? Solution: Let the number of cups of flour required for 12 servings be x. According to the direct proportion, we have 3 : x = 6 : 12 Solving the above proportion, we get x = (3 × 12) / 6 x = 6 Therefore, 6 cups of flour are required for 12 servings.

Indirect Proportion Extra Sums:

1. If 8 workers can complete a project in 24 days, how many days will it take for 6 workers to complete the same project? Solution: Let the number of days required be x. According to the indirect proportion, we have 8 : 6 = x : 24 Solving the above proportion, we get x = (8 × 24) / 6 x = 32 Therefore, it will take 32 days for 6 workers to complete the same project.

2. If a train takes 5 hours to travel a distance of 500 km, how long will it take to travel a distance of 625 km? Solution: Let the time taken to travel 625 km be x. According to the indirect proportion, we have 5 : x = 500 : 625 Solving the above proportion, we get x = (5 × 625) / 500 x = 6.25 Therefore, it will take 6.25 hours to travel a distance of 625 km.

3. If 6 machines can complete a task in 9 hours, how long will it take for 8 machines to complete the same task? Solution: Let the time taken be x. According to the indirect proportion, we have 6 : 8 = x : 9 Solving the above proportion, we get x = (6 × 9) / 8 x = 6.75 Therefore, it will take 6.75 hours for 8 machines to complete the same task.

FAQs

Q: What is direct proportion in mathematics?

A: In mathematics, two quantities are said to be in direct proportion if they increase or decrease in the same ratio. This means that if one quantity is multiplied or divided by a certain factor, the other quantity will also be multiplied or divided by the same factor.

Q: What is an example of direct proportion?

A: One example of direct proportion is the relationship between distance and time. If you are traveling at a constant speed, the distance you cover is directly proportional to the time you spend traveling. For instance, if you travel 60 miles in 1 hour, you will travel 120 miles in 2 hours, and 180 miles in 3 hours.

Q: What is indirect proportion in mathematics?

A: In mathematics, two quantities are said to be in indirect proportion if they vary inversely with each other. This means that as one quantity increases, the other quantity decreases and vice versa.

Q: What is an example of indirect proportion?

A: One example of indirect proportion is the relationship between the number of workers and the time required to complete a task. If a task requires 6 workers and takes 10 days to complete, then the same task will take 15 days if only 4 workers are available.

Q: How do you solve problems involving direct proportion?

A: To solve problems involving direct proportion, you can use the formula y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality. You can find the value of k by dividing any value of y by its corresponding value of x. Once you know the value of k, you can use it to find any other values of y for different values of x.

Q: How do you solve problems involving indirect proportion?

A: To solve problems involving indirect proportion, you can use the formula xy = k, where x and y are the two quantities that vary inversely with each other, and k is the constant of proportionality. You can find the value of k by multiplying any value of x by its corresponding value of y. Once you know the value of k, you can use it to find any other values of x or y for different values of the other quantity.