Then either all of the points greater than 4x would be shaded or all of the points less than or equal to 4x would be shaded. Gcse maths 8300 question papers and mark schemes gcse maths 8300 mock exam analysers gcse maths 8300 reports on the examination sign up to all about maths access thousands of exam questions with exampro mathematics. The one below should work really well for your ks3 maths class. The questions are carefully selected so that they help students to develop their understanding of inequalities that have both an upper and lower bound. These videos were donated to the channel by steve blades of maths247 fame. Study the next video in which i explain two ways to solve this type of question which you by the way can also expect on your igcse gcse maths exam. Inequalities in 1 and 2 variables homework sheet and mark scheme. Pearson edexcel level 1level 2 gcse 91 in mathematics.
For example, if y 4x, the graph of y 4x would be drawn. This is an essential example in moving from a c to a grade b at gcse. Inequalities will give you a range of answers for you unknown which could be greater than, greater than or equal to. Taken from the edexcel 2 year gcse scheme of work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. Gcse igcse maths mathematics linear inequalities differentiated practice worksheets with space for answers solutions included. Inequalities gcserevision, maths, numberandalgebra. The consultant editor is at the very hub of setting and marking gcse mathematics, being chairman of examiners after many years as a chief examiner. There i will explain to you how to solve quadratic equations. Pearson edexcel level 1level 2 gcse 9 1 in mathematics. Inequalities materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Open circles are used for numbers that are less than or greater than.
Gcse maths solutions, examples, worksheets, videos, games. You no understand how to solve and graph inequalities which will be important for you to pass your igcse gcse maths exam. If you havent taught as level maths or igcse then you might not have taught this topic before. In that case, you repeat step 1 and 2 above for each of the inequalities and once youre done, you shade the portion of the graph that is in all of the satisfied areas. We have a collection of videos, games, activities and worksheets that are suitable for gcse maths or igcse maths. This was taken from my 150 page workbook which covers many more maths topics. Gcse maths inequalities 2 solving inequalities higher.
This is a unit of work i have put together for a high ability yr10 group on inequalities. If the minimum perimeter of the rectangle is 160 cm, then a breadth 20 cm b length legacy qualifications gcse qualifications linear specification 4365 higher tier linear test page algebra inequalities. At this stage, nothing is saved, so if you close your browser window, you will need to restart. Before i explain to you what linear programming is, it is important to revise our understanding of graphing inequalities. Ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Inequalities h a collection of 91 maths gcse sample and specimen questions from aqa, ocr, pearsonedexcel and wjec eduqas. Concepts that you will need to know for the gcse maths. Join s of fellow maths teachers and students all getting the tutor2u maths teams latest resources and support delivered fresh in their inbox every morning. Solving inequalities gcse maths level 5 question youtube. Effective resource to revise and prepare for maths exam. How to solve inequalities help with igcse gcse maths.
Jun 05, 2010 gcse mathematics a fundamental example of solving an inequality for gcse mathematics. In our case, the linear inequalities are the constraints. At those two values, the two graphs attain the exact same ycoordinate. Chapter 5 linear inequalities and linear programming. Study the following maths activities therefore during your maths revision and learn how to graph inequalities. Three worksheets at different difficulty levels first steps, strengthen and extend. Example 11 the length of a rectangle is three times the breadth. Some did not seem to realise that the intersection of the two intervals was required and simply restated their previous answers making no attempt to combine them. Online maths tests for gcse, alevel and university. Level 3 mathematical studies core maths key stage 3. Example 9 find the linear inequalities for which the shaded region in the given figure is the solution set.
A gcse maths worksheet covering solving inequalities. Gcse maths 8300 gcse statistics 8382 alevel maths and further maths. Graphing inequalities starter 2 questions that i used to use as a starter in the latter stages of the gcse course higher level only. Closed circles are used for numbers that are less than or equal to and greater than or equal to. In this introduction to inequalities, you will find questions on using number lines to describe relations. Represent the solution set on a number line, using set notation and on a graph. In the picture with 2 graphs, the critical values are where these intersect. May 12, 20 the corbettmaths video tutorial on solving inequalities with two signs. Gcse maths revision inequalities questions maths made easy.
Linear inequalities 105 solution b is the correct choice. The concept of the modulus explored, with worked examples to illustrate. These differentiate resources help minimise planning workload and ensure you are covering suitable teaching content during your lessons. Inequalities are represented on graphs using shading. Home gcse study tools mathematics maths inequalities.
Solutions to past paper questions inequalities b i 4y 3. Gcse maths revision section looking at inequalities. Graphing inequalities 2 another 20 questions similar to the previous worksheet but significantly harder cthis is higher level only. Suitable for gcse students sitting the 9 1, alevel maths students revision and some key stage 3 students. To download, select save target as from the dropdown menu when you right click on the link. How does the triangle inequality apply to salesman problem. A collection of 91 maths gcse sample and specimen questions from aqa, ocr, pearsonedexcel and wjec eduqas. For more information please see the edexcel gcse maths page.
This worksheet was automatically generated by the drfrostmaths. The extend activity requires students to combine two different inequalities into one. Suitable for all the big examination boards including aqa, edexcel, ocr and wjec. Use the correct notation to show inclusive and exclusive inequalities. The rules for inequalities, inequalities with one variable, inequalities with two variables. Two examples are shown in the video which will hopefully show you how to handle these types. Click to share on twitter opens in new window click to share on facebook opens in new window. As above, but combining division and addition subtraction. This section shows you how to solve inequalities with one variable and solve inequalities with two variables inequalities gcserevision, maths, numberandalgebra, algebra, inequalities revision world. When solving quadratic inequalities inequalities with x 2 in them, it is necessary to analyse the various cases to solve the inequality. The corbettmaths video tutorial on an introduction on inequalities. There are also questions on solving inequality relationships with quantities less than and more than an expression in x. Further maths aqa help how do you study for the pat for oxford. How to graph inequalities help with igcse gcse maths.
Please share via twitter or facebook if you find them. Gcse maths revision inequalities on a graph questions. All the way through to gcse and just in time for revision. Inequalities,algebra revision notes, from alevel maths tutor. May 18, 20 the corbettmaths video tutorial on an introduction on inequalities. For example, this is the number line for the inequality. Past paper exam questions organised by topic for edexcel gcse maths. Students then solve word problems using the techniques covered in the powerpoint. Quadratic inequalities are tackled in a different way to solving a quadratic equation. Relationship to syllabus refers to the relevant section of either the junior and. If you have an inequality, you can add or subtract numbers from each side of the inequality, as with an equation. We have a series of escape the room exit tickets which are ideal when utilised as part of a plenary. I mean exactly what i say, not sure which part is confusing you.
Read each question carefully before you begin answering it. Inequalities lesson exit ticketin addition to providing an engaging way to consolidate learning, the resource is also differentiated for the needs of learners with different abilities. Theres a few different methods for solving quadratic inequalities. Gcse aqa, ocr, edexcel gcse maths inequality graphs questions name. A powerpoint presentation goes over all aspects of using inequalities at gcse higher maths, including representing inequalities on number lines, venn diagrams and graphs, solving quadratic inequalities and finding solutions sets given that the solution is an integer. Solving inequalities mctyinequalities20091 inequalities are mathematical expressions involving the symbols, gcse maths, examined from summer 2017. Click next question to move on to the next question.
A collection of linear inequalities that must be satisfied. Finally you can also be asked to solve two inequalities simultaneously. Place your mouse over the image and scroll down to reveal the answer. Continue with your maths revision and follow the link below. This section shows you how to solve inequalities with one variable and solve inequalities with two variables. A guide to equations and inequalities teaching approach when teaching the section of equations and inequalities, it is important to emphasise that we are solving for an unknown variable, and in a quadratic equation, we find two values for an unknown variable. How to solve inequalities gcse maths revision section looking at inequalities. You must make sure however that you reverse the direction of the inequality when dividing or multiplying by a negative. Diagrams are not accurately drawn, unless otherwise indicated. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. When dealing with inequalities, it is important to remember that if you divide or multiply by a negative number, the direction of the inequality is changed. A common method involves sketching a graph of the quadratic function then identifying the required region see example below. Lastly i added a powerpoint quiz that i use as a filler at the end of lessons. Answer the questions in the spaces provided there may be more space than you need.
Solve linear inequalities in one or two variables and quadratic inequalities in one variable. Gcse maths revision solving inequalities teaching resources. Materials required for examination items included with question papers. Inequality notation solving inequalities shading inequalities everything has been made by myself apart from the homework booklet and the l1 worksheet, so no credit for them. What do i need to know about the edexcel gcse maths exam. Compound inequalities with solutions teaching resources. Linear inequalities can be solved by rearrangement in much the same way as linear equations. More often than not, you are presented with multiple inequalities and asked to shade the area that satisfies all of them. To include finding the midpoint of a line joining two coordinates. Corbettmaths videos, worksheets, 5aday and much more.
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