I'm teaching 3 different year 12 classes this year so I created 3 slightly different tests for the work I've covered with each. The first test focuses on quadratics (1 question on disproof by counterexample), the second and third both focus on quadratics and using graphs (also with 1 question on disproof by counterexample). All tests come with fully-worked solutions and they can be amended to your requirements.

This 29-page resource covers all the required knowledge for probability in the AS part of the new A level. In every section it contains examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections are: 1. Sample space diagrams 2. Two-way tables 3. Tree diagrams 4. Venn diagrams and set notation 5. Independent, mutually exclusive and complementary events 6. Probability distributions 7. Arranging items (preliminary work for Binomial distribution) 8. Binomial distribution This projectable and printable resource will save you having to draw any tables/diagrams when teaching the topic and will make things easier for your students as they can just work directly on the provided tables and diagrams. Also included is a worksheet designed to specifically practise writing cumulative probability calculations in the required form for using a calculator. The 2 page assessment covers all aspects of the topic and fully worked solutions are provided. Lastly, I have included a spreadsheet that calculates and illustrates probabilities for any Binomial distribution with n up to 100. You may find this resource useful to show the shape of the distribution and, in later work, how the distribution approximates a Normal distribution in certain conditions. 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 21-page resource introduces the method of differentiation as required for the new A level. In every section it contains examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections are: 1. Gradient function - sketching the graph of the derivative of a function 2. Estimating the gradient of a curve at a point, leading to differentiation from first principles 3. Differentiation of ax^n 4. Simplifying functions into the required form before differentiating 5. Using and interpreting derivatives 6. Increasing and decreasing functions 7. Second derivatives 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 axes and spaces provided for solutions. Also included is a 2-page assessment that can be used as a homework or test. Fully worked solutions to this assessment 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 resource can be used to teach your students all the required knowledge for the topic of polar coordinates (FP2) and contains examples to work through with your students. As the resource can be projected/printed it saves you time and allows your class to focus on understanding the techniques and attempting questions. The resource is split into six sections: 1. Defining points in polar coordinates and sketching curves 2. Tangents at the pole 3. Lines of symmetry 4. Maximum value of r 5. Converting between cartesian and polar form 6. Finding areas Note that this resource does not contain the answers to the examples - sorry! If I get time I will add them, or if you download and use this resource and send me your solutions I will add them in, crediting you of course.

This assessment has a non-calculator section and a calculator section. it covers the following skills: 1. Writing one quantity as a fraction/percentage of another 2. Converting mixed numbers and improper fractions 3. All four calculations with fractions 4. Finding a fraction/percentage of a quantity 5. Percentage increase/decrease 6. Finding the percentage change Fully worked solutions are included.

This worksheet gives your students practice of converting the vector equation of a line into the cartesian equation, and vice versa (there are 10 of each).

This worksheet focuses on the skill of being able to find the point of intersection of the perpendicular from a point to a line. It includes related questions such as the perpendicular distance from a point to a line and the coordinates of the reflection of a point in a line. Some of the lines are given in vector form and some are in cartesian form, so students need to be confident with both. There are 16 questions in total, all answers are provided.

I think this set of resources covers everything your classes need to learn and practice on straight line graphs (up to GCSE level). All the resources are suitable to be projected or printed for students to work on, saving a lot of time for drawing graphs and allowing them to annotate or work on diagrams. All resources come with solutions included. Here is a brief description of each resource: 1. Basic straight lines - lines of the form x=a, y=a and y=x or y=-x 2. Drawing straight lines - 10 questions using the equation of a line y=mx+c to complete a table of values and draw the graph. 3. Cover-up method - 12 questions to practise drawing lines of the form ax+by=c 4. Using the equation - test if a point lies on a line, determine y-coord given x-coord and vice versa (70 questions) 5. Finding the gradient - 18 questions to practise finding gradients, including where the scales on the axes are not the same 6. Matching y=mx+c to the graph - they find the gradient and y-intercept for each given graph and equation, learning the connection between the equation and properties of the graph 7. Equation to gradient and y-intercept - simple worksheet to practice writing down the gradient and coordinates of y-intercept from the equation, and vice versa (24 questions) 8. Finding the equation of a line - 24 questions to practise finding the equation of the line from its graph, including where the scales on the axes are not the same 9. Finding equation using point and gradient - 10 questions to practise doing this with a grid as an aid, then 26 questions without a grid 10. Pairs of lines - 4 graphs, each with a pair of parallel or perpendicular lines. By finding the equation of each line the students should start to see the rules for gradients of parallel and perpendicular lines 11. Parallel and perpendicular lines - almost 50 questions finding the equation of a line parallel / perp to a given line that passes through (0,b) or (a, b) 12. Using two points A and B - find midpoint M of AB, gradient of line through A and B, equation of line through A and B, equation of line perp. to AB through A, B or M. 10 questions to learn the methods with grids as an aid, then an exercise for each style of question (over 50 questions in total). 13. Multiple choice questions - quick assessment covering most of the topic 14. Straight lines revision - 60 questions to revise the whole topic 15. Homework - 19 questions on all aspects of the topic, fully works solutions included I have just worked through all these with my year 10 group and it took around 5 hours of lesson time to complete. A more able group may need less time but you have enough resources here to keep your classes busy for a number of lessons.

This worksheet can be used to introduce de Moivre's theorem to your class and show how it can be used to find multiple angle formulae (e.g. sin 4theta = ...) and how these formulae help us to relate trigonometric equations to polynomial equations. The introduction shows how we can arrive at 2 different results for (c + is)^n by using de Moivre's theorem and a binomial expansion. There are then 3 examples of using this technique to derive multiple angle formulae. The second section focuses on relating trigonometric equations to polynomial equations and how this allows us to find exact values of trigonometric functions or to express the roots of a polynomial in trigonometric form. There are 3 examples to illustrate this, the first one is deliberately straightforward to help students see the connection between the trigonometric work and the polynomial equation. The solutions version of the worksheet has fully-worked solutions to all the examples and the notes in the introduction section are also completed. Once you have worked through this worksheet with your students they should be able to attempt an exercise of questions on their own.

I used this resource as a homework with my Year 10 group after finishing work on statistical diagrams and the calculation of averages and the range. It has at least one question on each of the following: 1. Bar charts 2. Pie charts 3. Mode, median, mean and range from a list of data 4. Finding the missing value in a set of data given the mode/median/mean. 5. Finding the new mean after a data point is added/removed. 6. Finding averages from a frequency table and a grouped frequency table. Fully-worked solutions are provided.

This 18-page resource covers all the uses/applications of differentiation as required for the new A level. In every section it contains examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections are: 1. Tangents and normals - finding the equations of tangents/normals to curves 2. Stationary points - finding them and determining their nature using first or second derivative 3. Smallest and largest values of a function - finding min&max value of f(x) in a set of values for x 4. Practical problems - using differentiation to find optimal solution to a problem in context 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 2-page assessment that can be used as a homework or test. Fully worked solutions to this assessment 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 33-page resource introduces the methods used to differentiate more complex functions, 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 sections are: Chain rule - how to differentiate a function of a function (2 pages of examples then a 4-page exercise) Product rule (1 page of examples then a 2-page exercise) Quotient rule (1 page of examples then a 3-page exercise) Implicit differentiation introduction (1 page of examples then a 1-page exercise) Implicit differentiation involving product rule (2 examples then a 3-page exercise) Applied implicit differentiation to find stationary points, tangents etc (2 pages of examples then a 3-page exercise) Differentiation of exponential functions (1 page of examples then a 1-page exercise) Differentiating inverse functions (2 pages of examples then a 1-page exercise) 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. Also included is a 10-question assessment that can be used as a homework or test. Fully worked solutions to this assessment 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

My year 7 class struggled to learn the rules for doing calculations that involved negative numbers so I created these resources to try to help them understand the rules and to give them lots of practice. The first resource focuses on addition and subtraction, with explanations of how the calculations can be understood with reference to a number line, and then exercises with lots of practice (over 150 questions). The second resource focuses on multiplication and division, with a page dedicated to them just practising determining whether the answer of a calculation should be positive or negative, and then an exercise with lots of practice calculations (over 80 questions). The third resource contains mixed questions with all 4 operations (over 60 questions). Answers to all the questions are included. The final resource is a spreadsheet where pupils can practise calculations and get instant feedback on their accuracy. Note that the spreadsheet contains macros so when opening the file users may need to click on “Enable editing” or “Enable macros” for it to function correctly.

This assessment covers all aspects of the exponential models topics for all examination boards. It contains 20 questions, ranging from simple multiple-choice questions that would be worth 1 mark, to demanding multi-stage problems typical of specimen examination questions. An answer sheet is provided for students to work on (with axes provided for questions that require graph work). Fully-worked solutions are included.

This resource is designed to help students understand the key properties of exponential models and to give them lots of practice of examination-style questions on the topic. It begins by recalling the key properties of exponential graphs and introduces the form of the equation used in most exponential models. The first section contains examples designed to help students realise that the same proportional change happens over equal time periods. There are a few examples that establish this property and then an exercise of questions for students to attempt. The main section focuses on using exponential models and begins with 2 pages of example questions chosen to show students the typical style and demands of examination questions on this topic. There is then a 17-page exercise with almost 70 questions for students to attempt themselves. The exercise includes questions where students are required to explain the significance of parameters in models, the limitations of models, and to suggest possible improvements. Answers to 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

These resources will give your class plenty of practice of using the factor theorem and the common questions that follow finding a factor of a cubic polynomial. The first resource focuses on showing that (ax+b) is a factor of f(x) and then using it to write f(x) as a product of a linear and quadratic factor. There is an example to work through as a group and then an exercise with 14 questions - answers are provided. The second resource has 2 sections. The first section focuses on factorising cubics fully, either as a product of a linear and quadratic factor, or as a product of 3 linear factors. The second section focuses on solving f(x)=0 and, in later questions, relates the solutions to the graph of f(x). In total there are 26 questions - answers are provided.

This 2-page resource is a great way to assess your students after teaching them combined graph transformations and the modulus function for the new A level specification. The resource is designed for students to write on the sheet in the spaces or on the axes provided for questions that require sketches. Fully worked solutions are included.

These resources are a good way to quickly cover/revise the whole topic of linear equations. The first resource begins with a few notes on what forms linear equations can take and some of the steps or methods that may be required to solve them. There are some parts of the notes that need to be completed with your students, to practise the algebraic steps involved in solving linear equations. There are then several sections, each section focussing on a particular form of linear equation. There are a few examples to complete with your students as practice, then an exercise for students to complete on their own. There is also an exercise of mixed questions at the end. Answers to all the exercises are included. Section A - Solving x+a=b, x-a=b, a-x=b Section B - Solving ax=b Section C - Solving x/a=b and a/x=b Section D - Solving ax+b=c, ax-b=c, a-bx=c Section E - Solving x/a+b=c, x/a-b=c, a-x/b=c, a-b/x=c Section F - Solving (ax+b)/c=d, (ax-b)/c=d, (a-bx)/c=d Section G - Solving a(bx+c)=d, a(bx-c)=d, a(b-cx)=d Section H - Solving ax+b=cx+d, ax+b=c-dx Section I - Solving a(bx+c)=dx+e, a(bx+c)=d-ex Section J - Solving (ax+b)/c=dx+e, (ax-b)/c=dx+e, (a-bx)/c=d-ex Section K - Mixed exercise The second resource gives your students practice of solving linear equations using a graph. Worked solutions to this sheet are included. The final resource is a homework/test with 35 questions that cover the whole of the topic, including solving linear equations using a graph. Worked solutions are included.

This worksheet is a good way to give your class plenty of practice calculating and using the vector product. The first 2 questions just involve finding the vector product of two given vectors, both in column vector and in I,j,k form. The remaining questions introduce how the vector product can be used to answer particular questions such as converting vector eqn of plane to normal eqn, or finding the area of triangle in 3 dimensions. Fully worked solutions are provided to the questions.