This PDF consists of 21 questions on Tangents and Normals and nothing else - I have avoided mixing this exercise with any other topic. The first 8 questions involve only polynomial differentiation and questions 9 - 20 require product rule, quotient rule and chain rule. Q21 even involves Implicit Differentiation ! I have included the free STANDARD DIFFERENTIALS sheet which always proves useful. It is a thorough worksheet and answers are included. Answers are included. Please leave feedback, particularly if you like my work - thank you.

This is an excellent set of questions aimed at revision of Standard differentials - that’s those that you should know by heart. Many are on formulae sheets and booklets but there is no substitute for practice. There are two pdf’s here - the first is the fact sheet that I give to all students covering all the standard integrals and differentials. The second is over 30 questions on standard differentiation - including some basic applications. Answers are included Please leave feedback, particularly if you like my work - thank you

This PDF contains over 60 questions on the differentiation of polynomials. Question 1 - has 26 parts, each on the differentiation of polynomials including negative and fractional powers. Question 2 - 21 questions, the focus of these questions are functions that need to be rearranged into polynomials prior to differentiation. The third sheet is a set of questions on the application and interpretation of the differentiation of polynomials. This is a very thorough set of questions that I use in year 12, but is also used for revision. Answers are included. Please leave feedback, particularly if you like my work - thank you

This is a PDF consisting of 30 questions on turning points and maxima / minima. 18 questions on finding the co-ordinates of turning points and the nature of the points followed by a number of algebraic applications and concluding with 8 full problems on maximum and minimum values. This is a very thorough worksheet covering everything you will need to teach / learn or revise Stationary points. Answers are included and have been checked and verified. Please leave feedback, particularly if you like my work - thank you.

This PDF consists of seven full size GCSE size questions. Unlike some others - each of these questions have been carefully checked to ensure that the iterative process definitely works. They are presented in the “write on” format and are ideal for introducing the topic in Year 11 or for revision. Partial Answers are included Please leave feedback, particularly if you like my work - thank you.

This PDF contains over 100 questions on linear equations without brackets. I used this for all classes. At KS3 I may only use the first half of each question and allow the more able student to attempt the second half. At KS4 I used it for revision and simply asked students to go down one column. Each set of questions gets progressively harder and answers. Question 1 - 26 parts of the form ax = b - latter answers include negatives Question 2 - 26 parts of the form a + x = b or a - x = b - latter answers include negative Question 3 - 26 parts of the form ax + b = c or even b - ax = c - latter answers include negatives Question 4 - 26 parts of the form ax + b = cx + d and harder - latter answers include negatives. Answers are included. Please leave feedback, particularly if you like my work - thank you.

This PDF is a set of 20 worded questions and practical situations which lead to linear equations. These questions were aimed at Year 10 and they are basically straight forward, but students often find this type of question to be difficult and will find these questions are a little challenging. 20 questions with great variety. Answers are included. Please provide feedback, particularly if you like my work - thank you.

This is a PDF of over 60 questions on solving Linear equations with fractions. Aimed at higher level students these questions have equations with more than one fraction with different denominators in them. Answers are provided. Please leave feedback, particularly if you like my work - thank you

This is a pdf of over 120 questions on equations with algebraic fractions. Set over 4 main types of questions this worksheet has everything that you need to teach this topic for higher level GCSE or equivalent. There are so many questions on here - plenty to use as examples, classwork and homework and revision. I used to use column one for my examples, classwork from column two and homework from column three etc. Answers are included. Please leave feedback, particularly if you like my work - thank you.

This is a set of questions which mixes the three forms of factorisation. Aimed at GCSE top level students - stretching the more able, this worksheet is not for your average Higher level students. I use this as a source of questions and occasionally a classwork for the best classes. The PDF consists of two questions each with 26 parts. Question 1 starts with a mixture of common factors, quadratics and the difference of two squares and then gets progressively harder - take out common factors followed by quadratics etc. Question 2 consists of 26 fractions where the numerator and the denominator will factorise by some method and then cancel down. It took a while to write this one so I hope it is of use to people. Answers are included

A comprehensive set of four worksheets covering all that you will need for GCSE on function notation. This is everything needed for a full understanding - up to grade 8 at GCSE. Simple functions Composite functions Inverse functions Functions with two variables. Answers. Please leave feedback, particularly if you like my work - thank you.

These PDFs cover all that you need on the expansion of brackets. It is primarily aimed at year 10 and year 11 and give over 150 questions on every kind of bracket expansions that you will need - including triple bracket expansions. What you get: 26 questions on expanding a single bracket - these get quite detailed and students will need a good understanding of the first rule of indices. 26 questions on expressions with more than one bracket - expand and collect like terms. 26 questions on a pair of brackets leading to a quadratic expression with a = 1. 26 questions on a pair of brackets leading to an expression with a > 1. 26 questions on a pair of brackets - one linear and one quadratic leading to a cubic expression. 26 questions on three sets of brackets - new for the 9 - 1 syllabus. Answers are included. Please leave feedback, particularly if you like my work - thank you

This is a straight forward worksheet that I produced for practicing factorisation at foundation level only Over 60 questions on factorising by a common factor - obviously the start easy and get significantly harder so that your average grade 5 student will find something here to challenge themselves. Answers are included Please leave feedback as it helps us to write better worksheets.

This is a PDF consisting of over 40 algebraic fractions to be added, subtracted, multiplied,divided and cancelled Aimed at higher level GCSE these are fractions only - no factorisation required. These questions covers all the algebraic fraction work that students will need for higher level GCSE. Questions include: cancelling, addition, subtraction, multiplication and division of algebraic fractions. Answers are included Please leave feedback, particularly if you like my work - thank you.

An excellent worksheet covering everything that you may need up to grade 8 on solving factorisable quadratics. The fist 26 questions are already factorised and simply require the final step to achieve the solutions. The second 26 questions need to be factorised first but are limited to the case of a=1. The third 26 questions need to be rearranged or expanded and then rearranged before factorisation. Answers are included and have been checked independently. Please leave feedback - particularly if you like my work - thank you.

A very useful worksheet for grade 7+ students. This topic has been in every GCSE paper from all boards since the introduction of the 9 - 1 exam. This PDF consists of 26 questions on solving a pair of simultaneous equations - one linear and one quadratic - resulting in a quadratic equation and hence two points of intersection. All questions have been carefully worked out to give integer answers and none of the resulting quadratics are ‘ugly���. I recently added a second set of questions on where a line crosses a circle - focusing on one, two or zero solutions and their interpretation. Answers are included Please give feedback, particularly if you like my work - thank you.

A great worksheet aimed at grade 7 and above covering all that students need to understand about Completing The Square. Over 40 questions on these worksheets. Exam boards are now asking about these applications regularly - it isn’t enough just to be able to complete the square. Answers are included Please leave feedback, particularly if you like my work - thank you.

These PDFs cover everything that you could need on the factorisation of Quadratics. First sheet has almost 100 expressions to be factorised - plenty for examples, classwork and homework. This sheet has been divided into 5 clearly different sections allowing for differentiation. The second sheet starts with some factorisation and then goes into applications of factorisation - plenty to talk about here and give the more able a bit of a challenge. Answers are included. Please leave feedback, particularly if you like my work - thank you.