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. Effective resource to revise and prepare for maths exam. A common method involves sketching a graph of the quadratic function then identifying the required region see example below. Gcse maths 8300 gcse statistics 8382 alevel maths and further maths. There i will explain to you how to solve quadratic equations. Continue with your maths revision and follow the link below. Taken from the edexcel 2 year gcse scheme of work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. A collection of 91 maths gcse sample and specimen questions from aqa, ocr, pearsonedexcel and wjec eduqas. Inequalities in 1 and 2 variables homework sheet and mark scheme. Pearson edexcel level 1level 2 gcse 91 in mathematics. We have a series of escape the room exit tickets which are ideal when utilised as part of a plenary. The concept of the modulus explored, with worked examples to illustrate. Home gcse study tools mathematics maths inequalities. Suitable for all the big examination boards including aqa, edexcel, ocr and wjec.
More often than not, you are presented with multiple inequalities and asked to shade the area that satisfies all of them. Inequalities materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Inequalities gcserevision, maths, numberandalgebra. May 12, 20 the corbettmaths video tutorial on solving inequalities with two signs. This is an essential example in moving from a c to a grade b at gcse. Gcse aqa, ocr, edexcel gcse maths inequality graphs questions name. The questions are carefully selected so that they help students to develop their understanding of inequalities that have both an upper and lower bound. Graphing inequalities starter 2 questions that i used to use as a starter in the latter stages of the gcse course higher level only.
Gcse maths revision inequalities questions maths made easy. Level 3 mathematical studies core maths key stage 3. 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. 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. 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. Inequalities,algebra revision notes, from alevel maths tutor.
Quadratic inequalities are tackled in a different way to solving a quadratic equation. When solving quadratic inequalities inequalities with x 2 in them, it is necessary to analyse the various cases to solve the inequality. What do i need to know about the edexcel gcse maths exam. In our case, the linear inequalities are the constraints. This is a unit of work i have put together for a high ability yr10 group on inequalities. Closed circles are used for numbers that are less than or equal to and greater than or equal to. Suitable for gcse students sitting the 9 1, alevel maths students revision and some key stage 3 students.
Before i explain to you what linear programming is, it is important to revise our understanding of graphing inequalities. How to solve inequalities help with igcse gcse maths. In the picture with 2 graphs, the critical values are where these intersect. If you have an inequality, you can add or subtract numbers from each side of the inequality, as with an equation. Corbettmaths videos, worksheets, 5aday and much more. The questions must be done in order, from q1 onwards. Materials required for examination items included with question papers. In this introduction to inequalities, you will find questions on using number lines to describe relations. Ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Gcse maths revision inequalities on a graph questions.
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. 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. To download, select save target as from the dropdown menu when you right click on the link. This was taken from my 150 page workbook which covers many more maths topics. This time we split it into two inequalities and solve each one and then combine the answers.
I mean exactly what i say, not sure which part is confusing you. Example 9 find the linear inequalities for which the shaded region in the given figure is the solution set. At this stage, nothing is saved, so if you close your browser window, you will need to restart. Inequalities h a collection of 91 maths gcse sample and specimen questions from aqa, ocr, pearsonedexcel and wjec eduqas.
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. All the way through to gcse and just in time for revision. At those two values, the two graphs attain the exact same ycoordinate. Three worksheets at different difficulty levels first steps, strengthen and extend. Chapter 5 linear inequalities and linear programming. A gcse maths worksheet covering solving inequalities. Answer the questions in the spaces provided there may be more space than you need. Inequalities will give you a range of answers for you unknown which could be greater than, greater than or equal to. We have a collection of videos, games, activities and worksheets that are suitable for gcse maths or igcse maths. Finally you can also be asked to solve two inequalities simultaneously. Inequalities are represented on graphs using shading.
Linear inequalities 105 solution b is the correct choice. Click next question to move on to the next question. If you havent taught as level maths or igcse then you might not have taught this topic before. Represent the solution set on a number line, using set notation and on a graph. Use the correct notation to show inclusive and exclusive inequalities. 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. How does the triangle inequality apply to salesman problem. Study the following maths activities therefore during your maths revision and learn how to graph inequalities. 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. Gcse maths revision solving inequalities teaching resources. 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. How to graph inequalities help with igcse gcse maths.
Gcse maths solutions, examples, worksheets, videos, games. Past paper exam questions organised by topic for edexcel gcse maths. Click to share on twitter opens in new window click to share on facebook opens in new window. 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.
You no understand how to solve and graph inequalities which will be important for you to pass your igcse gcse maths exam. Theres a few different methods for solving quadratic inequalities. Example 11 the length of a rectangle is three times the breadth. For example, this is the number line for the inequality. Solutions to past paper questions inequalities b i 4y 3. 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. Two examples are shown in the video which will hopefully show you how to handle these types. Concepts that you will need to know for the gcse maths. Gcse igcse maths mathematics linear inequalities differentiated practice worksheets with space for answers solutions included.
Gcse maths revision section looking at inequalities. The corbettmaths video tutorial on an introduction on inequalities. These differentiate resources help minimise planning workload and ensure you are covering suitable teaching content during your lessons. Solving inequalities mctyinequalities20091 inequalities are mathematical expressions involving the symbols, gcse maths, examined from summer 2017. For example, if y 4x, the graph of y 4x would be drawn. The extend activity requires students to combine two different inequalities into one. 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. The one below should work really well for your ks3 maths class. The rules for inequalities, inequalities with one variable, inequalities with two variables. Pearson edexcel level 1level 2 gcse 9 1 in mathematics. This worksheet was automatically generated by the drfrostmaths. How to solve inequalities gcse maths revision section looking at inequalities. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1.
Please share via twitter or facebook if you find them. Place your mouse over the image and scroll down to reveal the answer. May 18, 20 the corbettmaths video tutorial on an introduction on inequalities. Further maths aqa help how do you study for the pat for oxford.
Students then solve word problems using the techniques covered in the powerpoint. Linear inequalities can be solved by rearrangement in much the same way as linear equations. Graphing inequalities 2 another 20 questions similar to the previous worksheet but significantly harder cthis is higher level only. Jun 05, 2010 gcse mathematics a fundamental example of solving an inequality for gcse mathematics. As above, but combining division and addition subtraction. You must make sure however that you reverse the direction of the inequality when dividing or multiplying by a negative. Lastly i added a powerpoint quiz that i use as a filler at the end of lessons.
A collection of linear inequalities that must be satisfied. Open circles are used for numbers that are less than or greater than. Gcse maths inequalities 2 solving inequalities higher. 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.
Solve linear inequalities in one or two variables and quadratic inequalities in one variable. There are also questions on solving inequality relationships with quantities less than and more than an expression in x. These videos were donated to the channel by steve blades of maths247 fame. For more information please see the edexcel gcse maths page. As above, but combining division and additionsubtraction. Online maths tests for gcse, alevel and university. Compound inequalities with solutions teaching resources. This section shows you how to solve inequalities with one variable and solve inequalities with two variables. Relationship to syllabus refers to the relevant section of either the junior and. To include finding the midpoint of a line joining two coordinates.
1160 169 600 1324 1373 135 1544 219 310 1223 1439 1286 997 632 1016 160 250 1 10 910 445 509 1138 783 776 1390 1135 1546 735 152 146 1464 688 1125 683 1228