These resources are designed for the new GCSE higher tier. The first worksheet introduces how Venn diagrams work and the notation used for the different sections of the diagram. The second worksheet is to practise using the notation correctly. The powerpoint can be used as a whole class activity to see if they have learned the notation correctly - it contains 11 multiple choice questions, for each they must choose which option is the correct notation for the given Venn diagram. The final 10-page worksheet is a set of exam-style questions. All answers are included.

These printable resources are ideal for getting students to practise working out coordinates for quadratic functions and drawing their graphs. Partially completed tables and graph paper are provided for each question. The first worksheet contains 10 questions all of the form y=x^2+ax+b. The second worksheet contains 8 questions, some of the form y=x^2+ax+b and some are y=ax^2+bx+c where a>1. Some of these questions are harder that the first worksheet because there isn’t any “symmetry” within the y-values in the table, which serves as a check. The homework contains 6 questions: 4 of the form y=x^2+ax+b, 2 of the form y=ax^2+bx+c where a>1. All solutions are included to print or project for your class to check their tables and graphs.

Two worksheets to practise solving quadratic equations using completing the square. The first worksheet contains the answers, so is intended to be used as practice in the classroom, while the second worksheet does not include the answers, intended as a homework. Note that the solutions must be given in simplified surd form, so students need to be able to simplify surds. The coefficient of x^2 is always 1 throughout these worksheets.

Two versions (with/without frequency tables) of a treasure hunt activity for a class to attempt individually or in groups. There are 24 questions, numbered from 1 to 24. Each group chooses a number from 1 to 24 at random (or you can assign them a start number), and this is the number of the first question they should attempt - this should be written in the top-left circle on their answer grid. Their answer to their first question should be a whole number from 1 to 24 - this should be written in the next circle on their grid and this is the number of the next question they should attempt. e.g. if a group starts on Q6 and they think the answer to Q6 is 13 then after Q6 they should attempt Q13 (and they should have 6 -> 13 on their answer grid). If they answer the questions correctly they end up with the same chain of answers as on the solution, if they make a mistake they will repeat an earlier question and at that point you can decide how much help to give them sorting out their error(s). This activity works best if you can stick the 24 questions around a large classroom or sports hall so the groups have to run around to find their next question. All the classes I've done these activities with have loved them.

These worksheets make teaching/revising these diagrams easier as you can project the axes/diagrams onto a board and your class can work directly on or from the provided axes/diagram. The worksheet on cumulative frequency is a 6 page document where students get to practise drawing cumulative frequency diagrams and deducing information from them, such as median, interquartile range etc. The second worksheet introduces how box and whisker plots are drawn and how to interpret them or use them to compare two sets of data. The third worksheet provides more practice of box and whisker diagrams but then also includes some questions involving cumulative frequency, as these diagrams often appear together in examination questions. Answers to all the worksheets are included.

This 12-page worksheet starts by introducing a method for drawing pie charts and has an example to work through as a class, followed by 6 examples for students to complete. The next section focuses on getting information from a pie chart - starting with an example to work through as a class and then 6 examples for students to complete. All answers are included.

The presentation and accompanying worksheet introduces the topic of differentiation by considering the gradients of progressively smaller chords that are used to estimate the gradient of the curve/tangent at the point. Students use this method to find the gradient at some points on the y=x^2 curve and then on the y=x^3 curve - from these results they should be able to guess at generalising the method for differentiating x^n and then ax^n. This presentation and worksheet take a while to work through so this may take up a whole lesson. The worksheet starts by reminding students how to differentiate and what dy/dx represents. In section A there are 18 examples of finding dy/dx to work through as a class, and then 30 questions for students to complete on their own. In section B there are a few examples of finding the gradient of a curve at a given point (to do as a class), then 10 questions for students to complete on their own. All answers are provided for the students' questions. Note that this resource was designed specifically for the Level 2 Further Maths qualification, so only covers differentiating functions with positive integer powers such as y=5x^3-4x+2, but can still be used an introduction to differentiation in general.

There is a large variety of questions, some with diagrams as an aid but then many later questions are without diagrams. Assumes knowledge of F=ma, constant acceleration formulas, resolving forces, and friction. This worksheet is a really good test to see if your students are secure with all the required knowledge for these problems. All answers are included.

This worksheet contains nearly 50 questions on collisions of objects - ideal practice for students preparing to sit their Mechanics 1 module exams. It has an introductory section which explains the conservation of momentum principle, then there are 18 questions with "before and after" diagrams to help students solve them. The remaining 29 questions are more demanding and typical of examination questions. Answers to all questions are provided.

These worksheets together contain over 30 pages of questions on objects on slopes - ideal practice for students preparing to sit their Mechanics 1 module exams. Many of the questions have accompanying diagrams as an aid. Answers to all questions are provided.

This worksheet can be used to teach and practise the method for finding the area between a curve and the y-axis using integration. The questions are designed so that students practise rearranging the curve y=f(x) into x=g(y) and then integrate with respect to y. The first page introduces this method and then there are 2 examples to work through as a class. There are then 3 more pages of questions, all with diagrams, for your students to attempt. Answers are provided.

This set of resources includes everything you need to teach the graph transformations topic in the new A level. The printable resources will save you and your classes a lot of time which means there is more lesson time for them to practise and for you help develop their understanding. As the topic requires knowledge of the properties of some graphs (e.g. asymptotes) the first resource can be used to see which graphs they can already sketch and to discuss the asymptotes of particular graphs. The next resources are Geogebra files which can be used with the free Geogebra software. Each file can be used to discuss a particular type of graph transformation - there are sliders on each file that be changed or animated to see the initial graph transformed. This activity should help your class to visualise each type of transformation and start to get a feel for how the equation changes. The notes and examples start with revising each type of graph transformation - giving some different ways the transformations can be described and what the transformation looks like using y=f(x) and with a particular curve. Once completed this is a useful revision resource and helps them complete the exercise of questions on the reverse which includes questions asking for the new equation of a transformed graph, or for a description of the transformation applied. The final resource can be used to give your class practice of sketching transformations of y=f(x). The answers to all questions are included, including the sketches. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

These worksheets can be used to introduce and practise the new GCSE topic of equation of a circle (centred at origin) and the equation of a tangent to a circle. The first worksheet starts with an activity that helps the students to realise that x^2 + y^2 = k is the equation of a circle and is followed by some questions to practise using it. The second document is an 8-page worksheet which can be used to revise all the necessary skills/knowledge required before studying the equation of a tangent to a circle. Working through this first seemed to really help my GCSE group with this topic. Answers are included. The third document is a 9-page worksheet which focusses on finding the equation of a tangent to a given circle at a particular point or with a particular gradient. All answers are included.

The powerpoint presentation can be used to introduce this topic, containing examples and explanations. The notes and examples sheet can just be handed out as a reminder during the tasks, or later as a revision resource. The first activity just requires the students to indicate on a grid whether each item is an equation, expression, identity or formula. The second activity involves cutting out each item and putting/sticking it into the correct column on the answer table. All answers are included.

The test includes 21 questions with 4 possible answers to choose from. A very quick way of assessing the knowledge of your class and the accuracy of their work, in a style of question now common on the new GCSE paper. Answers included.

This worksheet can be used to teach/practise the required knowledge and skills expected at A level for the intersections of graphs. The introduction discusses the different methods that can be used but then focuses on the method of substitution. There are then a few examples to illustrate the method, including questions about the geometrical interpretation of the answers. The final section shows how the discriminant can be used to determine/show the number of points of intersection, with examples to illustrate the method. Fully worked solutions to all examples are provided.

This resource is a great way to assess your class after teaching all the "using graphs" topic. There are 12 questions in total, covering the following: 1. Intersections of graphs 2. Using the discriminant to show/determine the number of points of intersection 3. Graph transformations 4. Proportion 5. Inequalities on graphs Fully worked solutions to all questions are provided.

It used to be quite easy to come up with examples to teach/practise trial and improvement, but using iteration is a very different beast and needs some carefully chosen and prepared questions. This worksheet contains a brief introduction/reminder about iterative formulae and their use in sequences, then has one example of using iteration to find a root of an equation, to work through as a class. The following exercise has 7 questions for students to attempt on their own. Answers are included.

This 13-page resource introduces basic differentiation and integration of exponential and trigonometric functions (in the A2 part of the new A level). The calculus work does NOT require chain rule, product rule, quotient rule, integration by parts… etc In every section it contains notes then examples to work through with your class, followed by an exercise of questions for students to attempt themselves (answers included). The sections are: 1.Differentiation of e^x and ln(x) 2.Differentiation of trigonometric functions (sin, cos and tan only) 3.Integration of e^x, 1/x, and trigonometric functions (sin and cos only) This projectable and printable resource will save you having to write out any notes/examples or draw any graphs when teaching the topic, and will make things easier for your students as they can just work directly on the given diagrams and spaces provided for solutions. Note: some examples with trigonometric functions require knowledge of radians, double and compound angle identities, and small angle approximations.

This worksheet will give your class a bit of practice of finding the reciprocal of different types of numbers. Each section starts with an explanation and/or examples, followed by a short exercise of questions for students to complete. The sections are: Reciprocal of an integer Reciprocal of a fraction of the form 1/n Reciprocal of a fraction of the form a/b (includes conversion of mixed fractions to improper) Reciprocal of a decimal (requires conversion of decimal to fraction) The answers to the questions in the exercises are included.