These are two worksheets on functions. One on composite functions, one on finding inverse functions. Suitable for A-Level students Detailed typed answers are provided to every question. I hope you find these useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are two work sheets on simultaneous equations where one is linear the other is quadratic. The second worksheet has harder quadratics. All questions have integer solutions, and are factorisable. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are four tiered worksheets on quadratic equations by completing the square and then use the difference of two squares identity to factorise the quadratics. Tier 1: x^2 + bx + c (no fractions) Tier 2: x^2 + bx + c (has fractions) Tier 3: ax^2 + bx + c (a is a square number) Tier 4: ax^2 + bx + c (a is not a square number) Detailed typed answers are provided to every question. I hope you find these useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are three worksheets on counting, arrangements, permutations, combinations and the multiplication principle, suitable for students preparing for OCR or MEI A-level maths. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are two worksheets on circle equations with step by step solutions. Detailed typed answers are provided to every question. I hope you find these useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are three tiered worksheets on inequalities. The first worksheet has questions on linear inequalities and simultaneous linear inequalities. The second worksheet has questions on quadratic inequalities and simultaneous inequalities involving quadratics (quadratic with linear and quadratic with quadratic). Detailed typed answers are provided to every question, with suitable graph sketches. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

This is a worksheet on rationalising denominator of fractions which has surds, starting with simple cases, ending with more demanding problems. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are two tiered worksheets on simplifying surds, there are some very hard ones in the second sheet. These are great for students to practice with. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are three tiered worksheets on the remainder theorem and the factor theorem, starts off very basic, and ending with problem solving questions. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are tiered worksheets on partial fractions. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are the lessons plans and power points for one variable / linear equations. One variable is a more suitable description, as the lessons eventually leads to some very demanding multi (5+) steps, repeated fraction questions, as well as questions where the unknown initially appears on both sides. Students are first introduced to the basic principles of algebra which stealthily guides all that they do. Then they apply that knowledge to learn strategies to solve one variable equations. There are three lessons, and should be taught in that order. The bundle contains both the lesson presentations with 'overlay animations', where steps are reviewed one at a time. There is also an accompanying presenter view pdf for teachers for each lesson ppt. The documents are prepared meticulously with LaTeX, I hope you find these useful. In addition, you can get unlimited number of high quality practice questions and solutions for linear equations on my website: www.onemathsquestions.com You can generate the worksheets yourself, and each question will come with a set of very detailed step by step solutions, set out in exactly the same way as the lesson presentation examples. PS: Any comments or suggestions are very welcome, through TES or my website. In addition, if you need a particular type of question, you can ask me to make them for you (for free), sometimes I may just do it for you! Best wishes, Joe

This worksheet bundle contains questions on binomial expansion for positive integer power index n. Detailed typed answers are provided to every question. I hope you find it useful. You can get more worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are worksheets on simplifying surds and rationalising fractions involving surds. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are age word problems, great for students to practice forming equations from word problems. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are graph sketching questions on quadratic, cubic, quartic and quintic graphs. Each question comes with detailed solution as well as an actual graph plot, suitable for practicing graph sketching for the new A-level Maths specs. I hope you find these useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are two worksheets on integration questions with step by step solutions. Sheet 1 has questions on basic indefinite integration, finding f(x) given f'(x) and a point. Sheet 2 focus on definite integration and application to area calculations. Detailed typed answers are provided to every question. I hope you find these useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are question sheet and solution sheet for arithmetic sequence, basic question types. Given U_n, U_m, find a and d, given U_n, S_n, find a and d, etc. Detailed typed answers are provided to every question. We hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are tiered reciprocal graph sketch question worksheets. Starting off with 1 over x graphs, then moving onto 1 over quadratic, 1 over cubic types of reciprocal graphs. The harder problems could be useful practice for the more able students. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are two tiered worksheets on algebraic division, the first tier is with linear divisors, the second with quadratic divisors. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

These are two lessons on completing the square. Lesson 1: Start with motivating example that it is in theory possible to find pairs of numbers for factorisation for any solvable quadratic, but in some cases this guessing difficult, as it involves surds, and instead we use completing the square to factorise. Then we go through a few basic examples of monic quadratics, demonstrating completing the square as well as then using the difference of two squares identity to factorise. Lesson 2: Completing the square on non-monic quadratics. Case 1, the coefficient of x squared is itself a square. Case 2, the coefficient of x squared is itself a not square. We give three different ways to deal with the problem in case 2, each time demonstrating completing the square technique. The bundle contains both the lesson presentations with 'overlay animations', where steps are reviewed one at a time. There is also an accompanying presenter view pdf for teachers for each lesson ppt. The documents are prepared meticulously with LaTeX, I hope you find these useful. In addition, you can get unlimited number of high quality practice questions and solutions for both lessons on my website: www.onemathsquestions.com. They are under topics "Quadratic Complete Square". You can generate the worksheets yourself, and each question will come with a set of very detailed step by step solutions, set out in exactly the same way as the lesson presentation examples. Hope you find these useful, and if you have any comments or suggestions, please feel free to contact me through TES or my website. Best wishes, Joe

This is a lesson on simplifying surds and rationalisation. We start with proofs of some surd rules. Then go through progressively difficult examples of simplifying surds and rationlising denominators of fractions. Students are also introduced to the square and difference of two squares identities, and encouraged to use them whenever applicable. The bundle contains both the lesson presentations with 'overlay animations', where steps are reviewed one at a time. There is also an accompanying presenter view pdf for teachers for each lesson ppt. The documents are prepared meticulously with LaTeX, I hope you find these useful. In addition, you can get unlimited number of high quality practice questions and solutions for both lessons on my website: www.onemathsquestions.com. They are under topics "Power Indices". You can generate the worksheets yourself, and each question will come with a set of very detailed step by step solutions, set out in exactly the same way as the lesson presentation examples. Hope you find these useful, and if you have any comments or suggestions, please feel free to contact me through TES or my website. Best wishes, Joe