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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 for exams on direct and inverse proportion.
04/12/2022
528
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.
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 (newtons) exerted by a magnet is inversely proportional to the square of the distance d (cm).
Highlight: The question includes an explanation of what happens to F when d is halved, reinforcing understanding of inverse proportion.
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 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 (t) and staff number (s), 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 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.
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.
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 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 (D) to complete research is inversely proportional to the number of researchers (R).
Highlight: This question demonstrates how inverse proportion can be used in project management and resource allocation scenarios.
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.
6
296
8/9
Year 9 foundation assesment:calculator
Year 9 Assesment 4 foundation calculator paper with corrections and answers.
48
1624
11/10
GCSE Edexcel Maths (H) Revision Plan
For my GCSEs, I used the revision strategy on page 1 along with the topic-by-topic content breakdown on pages 2 and onwards to make sure I covered all of the content and consolidated it to the best of my ability.
5
378
11/10
Math exam paper with model answer
Higher math paper
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
Neo
@neola_axsx
·
2 Followers
Follow
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.
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.
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 (newtons) exerted by a magnet is inversely proportional to the square of the distance d (cm).
Highlight: The question includes an explanation of what happens to F when d is halved, reinforcing understanding of inverse proportion.
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 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 (t) and staff number (s), 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 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.
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.
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 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 (D) to complete research is inversely proportional to the number of researchers (R).
Highlight: This question demonstrates how inverse proportion can be used in project management and resource allocation scenarios.
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.
Maths - Year 9 foundation assesment:calculator
Year 9 Assesment 4 foundation calculator paper with corrections and answers.
6
296
0
Maths - GCSE Edexcel Maths (H) Revision Plan
For my GCSEs, I used the revision strategy on page 1 along with the topic-by-topic content breakdown on pages 2 and onwards to make sure I covered all of the content and consolidated it to the best of my ability.
48
1624
1
Maths - Math exam paper with model answer
Higher math paper
5
378
0
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
