This is a large PDF consisting of almost 80 questions on linear equations with brackets. I aimed this at all classes, at KS3 only doing the first half of each question and at KS4 only doing one or two columns. Questions get progressively harder. Question 1 - 26 questions of the form a(bx + c) = d Question 2 - 26 questions of the form a(bx + c) = d(ex + f) Question 3 - 26 questions of the form a(bx + c) + d(ex + f) = g **** Answers are included **** Please give feedback, especially 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.

This worksheet covers everything you need to revise differential equations. On two pages, this pdf has over 30 questions on variable seperable differential equations, Q1 - has 16 questions which need to be rearranged before integrating, I have included trig, exponential, logs, partial fractions and standards here ! Q2 - just a few parts here where initial conditions are given so that the constant of integration will need to be calculated and simplified. Q3 - 10 are more like examination questions and have more than one part. Answers have been checked several times and numbers used have been manipulated to make interesting questions. Please leave feedback, particularly if you like my work - thank you. Answers are included.

This is a PDF consisting of 26 questions on quadratic inequalities questions get progressively harder and include: simple cases factorisable quadratics the difference of two squares a = -1 a >1 a challenge for any grade 7+ student. Answers are included

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.

Another topic popular on the new 9 - 1 GCSE papers is the application of algebra to problem solving. Here I present 14 practical questions which will result in the formation of quadratic equations. Answers are provided. Please leave 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.

This Worksheet covers all that you will need on the Difference Of 2 Squares and it’s Applications. I always find that this is an area of Quadratic theory that is underrated so I developed this for those working towards grade 7+ There are over 40 questions which are aimed at GCSE higher level but some will stretch your more able students. Answers are included Please give feedback, particularly if you like my work - thank you.

I wrote this sheet to meet the needs of GCSE Foundation level students - keeping the formula quite basic. It is ideal for the introduction of rearrangements in earlier years too. The sheet begins with 5 questions which show ‘why’ we need to rearrange. This is followed by 26 questions involving one x and one y and numbers - using as many everyday functions in as many ways as i could. Finally a further 26 questions where we introduce a and b as constants too - this often muddies the waters for Foundation students and I always found I had insufficient questions to offer them. This is a thorough worksheet as a pdf of two pages covering everything you will need from introduction to GCSE foundation level. Answers are included too Please provide feedback so I can continue to offer a good service.

This is a PDF with over 60 questions on 'Changing The Subject Of An Equation". Aimed at higher level GCSE groups, this worksheet includes questions involving ‘self inverse functions’ such as ‘Divide into’ and ‘subtract from’. I have also included 15 questions on rearranging equations where x appears twice in a fraction, a question that has been frequently asked at GCSE. Answers are included. Please leave feedback, particularly if you like my work - thank you.