Gcse question compilation which aims to cover all types of questions that might be seen on the topic of indirect and inverseindirect proportion. This means that most of the links on this page are not yet active. An increase or decrease in one quantity with a corressponding increase or decrease in another quantity such that the ratio remains constant is direct variation. A selfmarking exercise in three levels on solving direct and inverse variation problems. Watch the video, take notes, listen in for key tips on how to. Diagrams are not accurately drawn, unless otherwise. Direct and indirect proportion revision videos maths. This is the direct and inverse proportion online test for aqa, ocr and edexcel gcse maths. Tes global ltd is registered in england company no 02017289 with its registered office at 26 red lion square london wc1r 4hq.
The cost of a circular table is directly proportional to the square of the radius. Gcse 1 9 direct and inverse proportion book pdf free download link or read online here in pdf. Direct and inverse proportion the cat and mouse problem typically appears as a brainteaser or puzzle, rather than as a math problem. Quantities increasing or decreasing together need not always be in direct proportion, same in the case of inverse proportion. Direct and inverse relationships can be demonstrated by graphs.
Edexcel gcse maths direct and inverse proportion answers. Please read the following notes are designed to help you to input your answers in the correct format. Lots of drag and drop activity with instant feedback. The time, t seconds, it takes a water heater to boil a constant mass of water is inversely proportional to the. Calculating amounts using proportions direct and inverse. Direct and inverse proportion mr stevensons maths class. We have direct variation, if the two variables change in the same sense, that is, if one increases, so does the other. Direct proportion more of one thing means more of the other e. Read each question carefully before you begin answering it. This unit will help you to solve problems where y is directly or inversely proportional to the square of x and to use and recognise graphs showing direct and inverse.
I v r is ohms law, relating v the voltage potential difference, i the current and r the resistance of the conductor. Direct and inverse proportion 8300 higher ratio, proportion and rates of change. Learn some of the basic graph shapes so you can recognise them if they come up in your exam. All students should be able to calculate the constant of variation that models how two measurements are in direct proportion. Direct and inverse proportion all resources for 3 year route map zip folder. The corbettmaths video tutorial on direct proportion. This carefully selected compilation of exam questions has. Direct and inverse proportion revision along with proportionality resources. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. Direct and inverse proportion online test archives maths. The mass of gold, g, is directly proportional to its volume, v. Gcse maths revision direct and inverse proportion questions. Direct and inverse proportion pearson schools and fe colleges.
Direct and inverse propotion maths exam question how to rearrange to make the denominator the subject of the formula. The speed of a car and the distance covered during a certain time the greater the speed, the greater the distance. In this lesson, learners are able to understand that x is inversely proportional to y is equivalent to x is proportional to 1y. The equation y 3x for example, is a straightline graph with gradient 3 and yintercept 0. Proportion calculations can be used to calculate values when one relationship is known.
Ncert solutions for class 8 maths chapter direct and. Number ratio algebra geometry probability statistics direct and inverse proportion. All books are in clear copy here, and all files are secure so dont worry about it. Maths videos and past papers for gcse, igcse, alevel, mat and step. This last point is true of all direct proportion graphs.
Gcse maths revision direct and inverse proportion youtube. The weight of a piece of wire is directly proportional to its length. The reason for this is that the obvious answers are not correct, so the problem although simple from a mathematical standpoint seems. To download this file, click the button below to signup it only takes a minute and youll be brought right back to this page to start the download.
Here i will explain to you what direct and inverse proportion are. Diagrams are not accurately drawn, unless otherwise indicated. The value of k will be the same for all values of a and b and so it can be found by substituting in values for a and b. Direct and inverse proportion gcse, igcse vivax solutions. Ib physics help direct and inverse proportion gcse maths revision the effect of the radius on circular motion. Ohms law is fundamental in the study of electricity. If two quantities exist such that the increase in one leads to an increase in the other, they are in direct proportion. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Time taken is inversely proportional to speed if you double the speed you get there in half the time gcse. On top of all this, you should be able to recognise graphs that represent direct proportionality.
In this case, if y 1, y 2 are the values of y corresponding to the values x 1, x 2 of x respectively, then x 1 y 1 x 2 y 2 or xy xy 11 22 quantities increasing or decreasing together need not always be in direct proportion, same in the case of inverse proportion. When two quantities x and y are in direct proportion or vary directly, they are written as x. Corbettmaths videos, worksheets, 5aday and much more. Direct and inverse proportion for gcse teaching resources. Read online direct and inverse proportion questions and answers book pdf free download link book now. Gcse 1 9 direct and inverse proportion instructions use black ink or ballpomt pen. Direct and inverse proportion questions and answers pdf.
Direct and inverse proportion questions worksheets and revision. Choose maths made easy for maths questions and worksheets. How much you earn is directly proportional to how many hours you work. This worksheet is designed to cover one question of each type seen in past papers, for each. Recognise and interpret graphs that illustrate direct and inverse proportion the subject content above matches that set out in the department for educations mathematics gcse subject content and assessment objectives document.
This download is exclusively for gcse guide subscribers. Clonedcopied questions from previous 91 aqa gcse exams. Students learn how to model nonlinear direct proportion functions using formulae and graphs. This website and its content is subject to our terms and conditions. Edexcel gcse mathematics linear 1ma0 direct and inverse. An increase or decrease in one quantity with a corressponding increase or decrease in another quantity such that. Home gcse study tools mathematics direct and inverse proportion. A collection of 91 maths gcse sample and specimen questions from aqa, ocr, pearsonedexcel and wjec eduqas. Answer the questions in the spaces provided there may be more space than you need. Gcse 1 9 direct and inverse proportion book pdf free download link book now. The cat and mouse problem typically appears as a brainteaser or puzzle, rather than as a math problem. The time taken, t seconds, that it takes a water heater to boil water is inversely. The tutor2u maths team comprise experienced gcse and a.
Download direct and inverse proportion questions and answers book pdf free download link or read online here in pdf. Apr 04, 20 the corbettmaths video tutorial on direct proportion. Students must sort the cards describing real life situations into either direct or inverse proportion and then solve the. Find the mass of a gold bar, in kilograms, with dimensions 20 cm by 8 cm by 4 cm. Direct inverse and joint variation word problems this algebra video tutorial focuses on solving direct. File type pdf proportion problems and answers proportion problems and answers as recognized, adventure as skillfully as. There are 5 questions on direct proportion, and 2 on inverse proportion. Direct and inverse proportion 8300 foundation ratio, proportion and rates of change topic. Before you study the example questions i want to tell you that for each question you need to take a moment and identify whether you are dealing with inverse or direct. You will need to register for a tes account to access this resource, this is free of charge.
How many days would it have taken jo to paint the house. This unit will help you to solve problems where y is directly or inversely proportional to the square of x and to use and recognise graphs. Learning progresses from deriving the equation to manipulating it to calculate missing values. Mathematics revision guides direct and inverse proportion page 3 of author. Direct and inverse proportion flashcards in gcse mathematics. If r is a constant, i is directly proportional to v. Students can complete this set of questions interactively on the dfm homework platform. Direct and inverse proportion a selfmarking exercise in three levels on solving direct and inverse variation problems. Increasing difficulty to allow for differentiation. Jan 20, 20 a video revising the techniques required to solve questions at higher gcse maths level on direct and inverse indirect proportion. Students must sort the cards describing real life situations into either direct or inverse proportion and then solve the problems by creating and interpreting equations.
For the full list of videos and more revision resources visit uk. The reason for this is that the obvious answers are not correct, so the problem although simple from a mathematical standpoint seems to be a perplexing brainteaser. Questions on direct and inverse proportion for gcse. Variation direct and inverse proportion direct proportion.
The following maths examples will explain to you all you need to know about proportion to pass your maths exam. Direct and inverse proportion questions worksheets and. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. Geometric illustration when the duplication of a given rectangle preserves its shape, the ratio of the large dimension to the small dimension is a constant number in all the copies, and in the original rectangle.