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.

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.

3 Worksheets as PDFs on Pythagoras mainly aimed at introductory level. These are thorough worksheets - each containing 10 questions covering all that you will need at KS3 and foundation level GCSE. Contents Finding The Hypotenuse is 10 questions on calculating the length of the hypotenuse. Finding The Shorter Side is 10 questions on finding a shorter side. Finding Any Length 10 more questions which are a mixture where the student will need to decide whether the unknown is the hypotenuse or a shorter side. Please leave feedback, particularly if you like my work - thank you

4 PDFs aimed at the more able student and Higher Level GCSE student, This set of worksheets assumes that pupils are able to do simple Pythagoras problems and need more of a challenge. Two triangles are those questions where 2 triangles are connected and information is transferred from one to the other. Problems - Worded questions on Pythagoras including every application that has appeared in a GCSE paper. Into 3D Typical questions on Pythagoras in cubes and pyramids etc. GCSE Typical GCSE questions - for Higher Level Answers are included Please leave feedback, particularly if you like my work - thank you.

This is a PDF consisting of 52 questions on division of fractions. This PDF is written as 2 questions each with 26 parts, question 1 uses fractions only while question 2 uses mixed numbers. With these worksheets I used questions in one column as examples, the second column was then used for class/homework leaving extra questions for either revision or extra practice if necessary. We always felt that too many questions was better than insufficient. This worksheet is part of the suite which is sold as Fractions for KS3 which includes the answers. Any comments are welcome through our facebook page.

A straight forward PDF consisting of around 25 questions on equivalent fractions and ordering fractions. Questions generally get harder as you progress through the exercise. Aimed at Key Stage 3 and foundation level GCSE I have found this to be everything I need for this subject. Please leave feedback, particularly if you like my work - thank you.

This Powerpoint asks 20 questions “Identify which single tranformation maps…” I have used enlargement by positive, negative and fractional scale factors, Reflection in vertical, horizontal and diagonal lines as well as rotation and translation. This took a tremendous amount of work and is ideal for revision of transformation at GCSE.

Aimed at higher level GCSE this worksheets covers everything that you need for grade 6+ No answers are provided as students can check their work on a calculator.

This is a couple of worksheets that were created for the introduction of area at KS3 and developing into the formula for the rectangle. Squares are covered as is perimeter Area Of Irregular Shapes provides you with four larger than average shapes on a cm square grid to find the area of - I usually ask the class which shape has the largest area and then everyone finds the area of at least two shapes. Area Of Rectangles finding the area of rectangles on a cm square grid - leading to the formula A = Length x Width.

This worksheet is a great compliment to our sheets on the area and the circumference of a circle. It is a PDF consisting of 8 questions with parts of circles inside squares where insufficient information seems to have been given. I aimed this at more able students in year 9 and 11. Answers are provided Please leave feedback, particularly if you like my work - thank you.

This PDF is a basic worksheet covering the area of the trapezium. 20 questions in total Q1 - find the area of 10 different trapezia Q2 - Find various values given the area of a trapezium - this leads to some very basic linear equations - just a bit of fun for the more able. Answers are included please leave feedback, particularly if you like my work - thank you

4 great worksheets covering all you need beyond basic areas: Miscellaneous Areas - 20 questions covering all the basic areas - a test to ensure that students can remember which formula applies to which shape. Compound Rectangles and Triangles - 15 questions covering compound areas using only rectangles and triangles Compound Areas - 16 questions covering all that you will need on compound areas. Area Problems - 13 questions covering areas in a realistic context. Answer Sheet Please leave feedback - particularly if you like my work, thank you