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Direct and inverse proportion exam practice
This document provides direct and inverse proportion exam practice questions with solutions PDF. It covers various types of proportion problems, offering step-by-step solutions and explanations for each question. The content is suitable for GCSE and KS3 level students preparing for exams on direct and inverse proportion.
12/4/2022
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This page presents three questions covering direct and inverse proportion problems. The questions involve calculating values based on given proportional relationships.
Example: Question 1 deals with y being directly proportional to the square of x, where y = 24 when x = 2.
Vocabulary: Direct proportion - a relationship where one quantity increases at the same rate as another.
Vocabulary: Inverse proportion - a relationship where one quantity decreases at the same rate as another increases.
This page focuses on a more complex direct proportion problem involving the relationship between H and c, where H varies directly to the cube of c.
Example: When H = 40, c = 2, students are asked to express H in terms of c, find H when c = 5, and find c when H = 5000.
Highlight: The question demonstrates how to manipulate equations involving cubes in direct proportion problems.
This page presents a problem involving inverse proportion between force and distance in the context of magnetism. Students are asked to express the relationship mathematically and solve related problems.
Example: The force F exerted by a magnet is inversely proportional to the square of the distance d .
Highlight: The question includes an explanation of what happens to F when d is halved, reinforcing understanding of inverse proportion.
This page contains two problems involving inverse and direct proportion. The first deals with inverse proportion between A and B, while the second involves direct proportion between C and the square root of y.
Example: In the first problem, A is inversely proportional to B, and students must find A when B = A.
Highlight: The second problem introduces direct proportion with square roots, expanding on previous concepts.
This page presents a practical application of inverse proportion in the context of airport check-in times. It demonstrates how the time taken for check-in is inversely proportional to the square of the number of staff working.
Example: Students must find an equation connecting time and staff number , and determine the minimum number of staff needed for a specific check-in time.
Highlight: This question shows how inverse proportion can be applied to real-world scenarios, enhancing students' understanding of its practical uses.
This page features a complex problem involving both direct and inverse proportion relationships. Students must navigate multiple proportional relationships to solve for the final value.
Example: The problem involves variables a, w, and c, with a directly proportional to √c and w inversely proportional to a³.
Highlight: This question tests students' ability to handle multiple proportion relationships simultaneously, preparing them for more advanced mathematical concepts.
This page presents a practical application of inverse proportion in the context of research planning. Students must determine the number of researchers needed to complete a project in a given time frame.
Example: The number of days to complete research is inversely proportional to the number of researchers .
Highlight: This question demonstrates how inverse proportion can be used in project management and resource allocation scenarios.
The final page of the document challenges students to match different graphs to their corresponding proportional relationships. This exercise tests students' ability to visually interpret various types of proportion.
Example: Students must match graphs to relationships such as y = 1/x, y = √x, and y = x².
Highlight: This question helps students develop a visual understanding of how different proportional relationships appear when graphed, reinforcing their conceptual knowledge.
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Inverse and Direct Proportion
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This document provides direct and inverse proportion exam practice questions with solutions PDF. It covers various types of proportion problems, offering step-by-step solutions and explanations for each question. The content is suitable for GCSE and KS3 level students preparing... Show more
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This page presents three questions covering direct and inverse proportion problems. The questions involve calculating values based on given proportional relationships.
Example: Question 1 deals with y being directly proportional to the square of x, where y = 24 when x = 2.
Vocabulary: Direct proportion - a relationship where one quantity increases at the same rate as another.
Vocabulary: Inverse proportion - a relationship where one quantity decreases at the same rate as another increases.
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This page focuses on a more complex direct proportion problem involving the relationship between H and c, where H varies directly to the cube of c.
Example: When H = 40, c = 2, students are asked to express H in terms of c, find H when c = 5, and find c when H = 5000.
Highlight: The question demonstrates how to manipulate equations involving cubes in direct proportion problems.
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This page presents a problem involving inverse proportion between force and distance in the context of magnetism. Students are asked to express the relationship mathematically and solve related problems.
Example: The force F exerted by a magnet is inversely proportional to the square of the distance d .
Highlight: The question includes an explanation of what happens to F when d is halved, reinforcing understanding of inverse proportion.
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Improve your grades
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This page contains two problems involving inverse and direct proportion. The first deals with inverse proportion between A and B, while the second involves direct proportion between C and the square root of y.
Example: In the first problem, A is inversely proportional to B, and students must find A when B = A.
Highlight: The second problem introduces direct proportion with square roots, expanding on previous concepts.
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Improve your grades
Join milions of students
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This page presents a practical application of inverse proportion in the context of airport check-in times. It demonstrates how the time taken for check-in is inversely proportional to the square of the number of staff working.
Example: Students must find an equation connecting time and staff number , and determine the minimum number of staff needed for a specific check-in time.
Highlight: This question shows how inverse proportion can be applied to real-world scenarios, enhancing students' understanding of its practical uses.
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Improve your grades
Join milions of students
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This page features a complex problem involving both direct and inverse proportion relationships. Students must navigate multiple proportional relationships to solve for the final value.
Example: The problem involves variables a, w, and c, with a directly proportional to √c and w inversely proportional to a³.
Highlight: This question tests students' ability to handle multiple proportion relationships simultaneously, preparing them for more advanced mathematical concepts.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page presents a practical application of inverse proportion in the context of research planning. Students must determine the number of researchers needed to complete a project in a given time frame.
Example: The number of days to complete research is inversely proportional to the number of researchers .
Highlight: This question demonstrates how inverse proportion can be used in project management and resource allocation scenarios.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
The final page of the document challenges students to match different graphs to their corresponding proportional relationships. This exercise tests students' ability to visually interpret various types of proportion.
Example: Students must match graphs to relationships such as y = 1/x, y = √x, and y = x².
Highlight: This question helps students develop a visual understanding of how different proportional relationships appear when graphed, reinforcing their conceptual knowledge.
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page introduces the exam-style questions on direct and inverse proportion. It provides guidance for students on how to approach the questions and lists essential materials needed for the exam.
Highlight: The document emphasizes the importance of showing all workings in answers.
Example: Required materials include pencil, pen, ruler, protractor, pair of compasses, and eraser.
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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
