This is a tricky little topic so this worksheet may be useful extra practice for your class. Six questions, some with diagrams as an aid. Answers included.

The worksheet is a 20-page resource that covers everything your students need to know about straight lines and circles for the new A level. Each section has an introduction with the required knowledge or formulae, then there is an exercise full of questions for you to work through with your class or for them to do on their own (answers are provided). The questions in the exercises start with the basics and progress up to more demanding examination-style questions. In total there are over 100 questions for your students to work through and there is enough material here to fill several lessons. The different sections cover: distance between 2 points, midpoints, gradient of a line, equation of a line, parallel and perpendicular lines, equation of a circle, tangents/normals to a circle, intersections of lines and circles, and determining whether 2 circles intersect, are disjoint or tangent to each other. The assessment contains 12 questions covering all aspects of straight lines and circles, which could be used as either a homework or a test. Fully worked solutions are provided. 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

This 10-page resource covers all the required knowledge and techniques for related rates of change, as required for the new A level. It contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). It begins with an introductory example which shows related quantities can change at different rates and how the chain rule can be used to connect them. There is then a summary of the method and a page of example questions to complete with your class. The exercise that follows contains over 40 questions for your students to attempt. This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included. 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

This 25-page resource covers all the required knowledge and techniques for using fixed point iteration to find roots of an equation, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections/topics are: 1.Introduction to the method (a) creating an iterative formula from an equation f(x)=0 (b) using fixed point iteration to find successive approximations or an estimate of a root © illustrating the covergence of the approximations on a cobweb or staircase diagram 2.Conditions where fixed point iteration fails (a) situations where successive approximations do / do not converge to a particular root (b) situations where successive approximations do not converge to any root © how to predict whether an iterative formula will produce approximations that converge towards a root (d) illustrating the covergence / divergence of the approximations on a cobweb or staircase diagram This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces and diagrams provided for solutions. The exercises contains over 35 questions for your students to complete. Answers to all exercises are included. 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

This resource covers all the required knowledge and skills for the A2 topic of combined graph transformations. It begins by reviewing the individual transformations and their effects on the graph or its equation. The first section focuses on finding the equation of the curve resulting from 2 transformations - there are some examples to complete with your class and then an exercise for them to do independently. The exercise does include some questions requiring a sketch of the original and the transformed curve. Within that exercise there are questions designed to help them realise when the order of the transformations is important. The second section focuses on examples where the transformations must be applied in the correct order. There are examples to complete and then an exercise for students to attempt themselves. The exercise includes questions where the resulting equation must be found, where the required transformations but be described, and some graph sketching. Answers to all the questions in the exercises are included. 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

This 15-page resource covers all the required knowledge and techniques for hypothesis testing in the A2 part of the new A level. It contains detailed notes, examples to work through with your class, and exercises of questions for students to attempt themselves (answers included). The topics covered are: The distribution of the sampling mean Hypothesis tests using sample means Hypothesis tests using correlation coefficients This projectable and printable resource will save you having to write out or create any notes/examples when teaching this topic. It also increases how much you can get through in lessons as students don’t have to copy notes/questions and can work directly onto spaces provided for solutions. You could also email/print some or all of this for students who have missed lessons or need additional notes/practice/revision. Also included is a 3-page assessment that covers the whole topic. Fully worked solutions are included. 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

This short worksheet can be used to deliver the topic of proof by contradiction in the new A level specification for all exam boards. A useful resource to help deliver this new topic - fully worked solutions are included for all examples and questions in the exercise. It begins with 5 examples to work through with your class (the full proofs are given in the teacher’s version). The examples are carefully chosen so that, for the final example, students have seen the results/techniques they need to prove that the square root of 5 is irrational. Students are expected to be familiar with a proof of the infinity of primes, so on the next page this proof is given in full, together with some numerical examples that should help students understand part of its argument. There is then an exercise with 9 questions for students to attempt themselves (full proofs provided). A homework/test is also included (7 questions), with fully-worked solutions provided. 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

This 33-page resource covers all the required knowledge and techniques for the topic of differential equations, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). Also included is 17-question assessment that can be used as a test or homework. The sections/topics are: 1.Finding the equation of a curve from its gradient function (a) from dy/dx = … find an expression for y (b) finding general and particular solutions 2.Variable separable equations (a) practice of separating the variables into the form f(y) dy = g(x) dx (b) solving variable separable equations 3.Forming differential equations from a description of how a quantity is changing 4.Modelling with differential equations (a) Constructing the appropriate differential equation to model a given situation (b) Solve differential equations and interpret/use the solutions © Consider the assumption(s) or limitation(s) of a model and suggest possible improvements This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. The comprehensive set of exercises contains around 100 questions for your students to complete. Answers to all exercises are included. 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

This 11-page resource covers the different techniques for using integration to find the size of areas, as required for the new A level. In every section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The types of questions included in the examples and exercises are: 1.Area between a curve and the x-axis where some/all of the curve is below the x-axis 2.Area enclosed between two graphs 3.Area between a curve and the y-axis This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included. 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

This simple 2-sided worksheet can be used with your class as practice or revision of trigonometry in non right-angled triangles. The answers are included but can be removed if you want to use the sheet as a homework or test. Note that one of the questions involves bearings.

A simple resource to give your class practice of finding the area of a shape by counting squares. It has brief notes and examples at the start, then an exercise with 18 questions for students to attempt (answers included). The shapes are squares, rectangles, triangles and compound shapes using these 3 shapes (so no circles or parts of circles).

The worksheet contains 16 questions with linear simultaneous equations which are to be solved using the substitution method. This is ONE worksheet in two different versions (with and without the answers).

The first worksheet introduces the topic of similar shapes and then has 7 pages of questions about scale factors and the lengths of sides of similar shapes (answers included). The second resource is intended to be worked through as a class, with each student/group completing it using different values but establishing the same rules about scale factors for areas and volumes of similar shapes. The third resource is a short worksheet on areas and volumes (answers included).

Each worksheet contains 30 questions. The first worksheet has examples of the form (a+b)^2 and (a-b)^2. The second worksheet has examples of the form (a+b)(a-b). All answers are included.

I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve. This worksheet has examples and an exercise which focuses on reflections but some questions also involve translations. The examples are designed to work through as a class and then the rules for the different reflections can be completed. There are 7 pages of questions for students to complete, including sketching the transformed graph and stating the equation of a transformed graph. All answers are included - I usually project these so that the whole class can check their answers.

I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve. This worksheet has examples and an exercise on stretches. The examples are designed to work through as a class and then the rules for the different stretches can be completed. There are 6 pages of questions for students to complete, including sketching the stretched graph, stating the equation of a stretched graph and stating the new coordinates of a point on the original graph. All answers are included - I usually project these so that the whole class can check their answers. Please note this topic is not in the new GCSE spec.

This worksheet contains over 20 questions for students to practise solving 3-term quadratic inequalities. For the first handful of questions a sketch of the quadratic graph is provided as an aid. The questions become increasingly difficult and this worksheet will be a good challenge for able GCSE pupils who know the methods for solving quadratic equations. All answers are included at the end of the worksheet.

This powerpoint presentation contains 25 multiple-choice questions on the topic of area and perimeter of circles and sectors. It is a fun way to assess the whole class at the end of teaching this topic, or it can be used as a competitive activity with the class divided into teams. The questions are designed to be attempted without a calculator. Each questions has 4 possible answers from A to D. This activity works best if each person/team has (coloured) cards with the letters A to D on to hold up to show what they think is the correct answer.

A worksheet with 30 questions on equations involving algebraic fractions. In each question the equations must be rearranged to reach a quadratic equation. In later questions the quadratic equation must also be solved (using the quadratic formula). A good resource for a demanding higher tier GCSE topic. All answers provided.