This is a mixture of resources that range from a presentation and worksheet to first introduce Pythagoras to a class, up to a worksheet using Pythagoras in 3 dimensions. The multiple choice test is a quick way to assess your class after teaching this topic. All answers are included.

The first 2 resources can be used to introduce the formula as an alternative method for solving quadratic equations, and includes 3 worked examples in the presentation. There are two worksheets to practise solving quadratic equations using the quadratic formula. The first worksheet contains the answers, so is intended to be used as practice in the classroom, while the second worksheet does not include the answers, intended as a homework. Note that the solutions must be given in simplified surd form, so students need to be able to simplify surds.

This powerpoint and accompanying worksheet is designed to help students learn which method(s) they should consider using when asked to solve a quadratic equation. There are 11 examples for students to consider, the answers are given on the presentation. This activity works best if you can give each student (or group) a set of A,B,C cards to hold up for each example so you see if they are learning how to correctly choose the most appropriate method. Note that this is designed to be appropriate for GCSE so completing the square is not considered as a suitable method for solving when the coefficient of x^2 is greater than 1.

A set of resources to teach and practise solving quadratic equations by factorising. The first two resources (worksheet + powerpoint) can be used to show how the factorised version of a quadratic is linked to the graphical solution of the equation. The first worksheet has two sections. Section 1 has lots of examples similar to the presentation where they solve the equation using the graph and then by factorising. In section 2 the graph is no longer provided and they just solve the equation by factorising. The last two worksheets are for additional practice, split into the cases where the coefficient of x^2 is 1 and where it is larger than 1. All answers are provided.

Two worksheets to practise solving quadratic equations using completing the square. The first worksheet contains the answers, so is intended to be used as practice in the classroom, while the second worksheet does not include the answers, intended as a homework. Note that the solutions must be given in simplified surd form, so students need to be able to simplify surds. The coefficient of x^2 is always 1 throughout these worksheets.

These resources are designed to get students to practise using all 3 methods for solving quadratic equations and then to use their solutions to add information onto a given sketch. The first resources contains examples that are intended to be worked through as a class (no answers provided). The second resource is 4-page worksheet for students to work through on their own (worked solutions provided).

The presentation shows examples with graphs to help students realise that a quadratic equation can have 0,1 or 2 (real) solutions. The worksheet has an introductory section intended to be worked through as a class to establish the rules about the value of the discriminant and the number of (real) roots. This is followed by 10 questions for students to practise applying what they have learned. Answers are provided.

Three resources to practice finding the equation of quadratic graphs from different types of information. This is a tricky topic and is likely to stretch an able GCSE group. The first resource is intended to be used as examples to work through as a group, the other resources are for additional practice. All solutions are provided. Note that simultaneous equations and solving quadratics by factorising is required prior knowledge.

The first worksheet introduces the topic of similar shapes and then has 7 pages of questions about scale factors and the lengths of sides of similar shapes (answers included). The second resource is intended to be worked through as a class, with each student/group completing it using different values but establishing the same rules about scale factors for areas and volumes of similar shapes. The third resource is a short worksheet on areas and volumes (answers included).

The worksheet has 15 questions which all involve drawing the 2 correct lines on the grids provided and finding the point of intersection to solve the simultaneous equations. It includes lines in the form y=mx+c and ax+by=c. Answers are included. Also included is a sheet for your class to revise drawing straight lines of the form y=mx+c and ax+by=c, which they may be useful before attempting the simultaneous equations sheet. Answers to this sheet are also included.

This 12-page worksheet contains lots of questions for students to practise finding particular points on quadratic graphs such as intersection points with axes, a point with a given x or y coordinate, or the vertex or line of symmetry. Initially a sketch of the graph is provided as an aid, but in later questions no graph is given. All answers are provided at the back of the worksheet. It is expected that students are able to solve quadratic equations before attempting this worksheet.

These resources are on averages from a list of data. They contain some questions that involve calculating an average but focus on finding a missing value in the list (given the mean/mode/median) or on creating a list of numbers that match some given criteria. The first 2 resources go together as class activity to practise finding an unknown value in a list of data given its mean/mode/median. The first worksheet follows on from this activity and gives students the opportunity to practise this type of question. The final worksheet practises creating a list of numbers that match some given criteria. In the first section there are examples to complete as a class then there is an exercise for students to complete on their own. (note that answers are not included as there is not a unique solution to each question)

A set of resources to cover the whole topic of averages up to GCSE level. The first 2 resources go together as a revision activity with worked examples to revise calculating averages from a list of data, frequency table and a grouped frequency table. The 3rd resource is just an single A4 revision sheet with all the information/techniques students need to know about averages at GCSE. There are 3 worksheets. The first contains over 20 questions on averages from a list of data. The second contains 8 questions that involve finding all 3 averages from frequency tables. The final worksheet contains 10 questions on finding the modal class, the class that contains the median, and an estimate of the mean. Answers for all worksheets are included. The final resource is a powerpoint presentation that can be used as plenary/competition/revision activity. It contains 21 slides of multiple choice questions for your students to attempt.

These resources contain questions that revise the 3 methods for solving linear simultaneous equations - graphical, elimination and substitution. There are 2 different revision resources here - the second is provided in two versions (with and without the answers).

The first resource contains examples intended to be worked through as a class to practice the method. The other resources are 2 worksheets each with 11 questions for students to complete on their own (answers included).

The worksheet contains 16 questions with linear simultaneous equations which are to be solved using the substitution method. This is ONE worksheet in two different versions (with and without the answers).

These resources are for solving linear simultaneous equations using the method of elimination. The presentation explains how to determine whether to add/subtract the equations to eliminate a variable, and includes the first step in a number of examples. There is a printable version of the presentation for your students to complete as you work through the powerpoint. The next resource is designed to help your students master the critical first step of deciding whether to add/subtract the equations and performing that operation accurately. There are a few examples to work through as a class and then there are nearly 50 questions for students to complete themselves. Answers are included. There are then two worksheets for students to work through, both given with and without the answers, so they can be used as classwork or as homework. The first worksheet contains examples that do not require any multiplication, the examples on the second worksheet do require multiplication of at least one of the equations.

This activity uses a spreadsheet to generate random questions on averages for students to attempt to try to score points. There are 10 different levels of difficulty of the questions (level 1 questions earn 1 point, level 10 questions earn 10 points). Each student/team should open up the spreadsheet and just follow the instructions, trying to earn as many points as possible in the time you give them. This is a great activity as there is differentiation in the questions, the questions are all different for each student/group, and the spreadsheet does all the marking!

Two versions (with/without frequency tables) of a treasure hunt activity for a class to attempt individually or in groups. There are 24 questions, numbered from 1 to 24. Each group chooses a number from 1 to 24 at random (or you can assign them a start number), and this is the number of the first question they should attempt - this should be written in the top-left circle on their answer grid. Their answer to their first question should be a whole number from 1 to 24 - this should be written in the next circle on their grid and this is the number of the next question they should attempt. e.g. if a group starts on Q6 and they think the answer to Q6 is 13 then after Q6 they should attempt Q13 (and they should have 6 -> 13 on their answer grid). If they answer the questions correctly they end up with the same chain of answers as on the solution, if they make a mistake they will repeat an earlier question and at that point you can decide how much help to give them sorting out their error(s). This activity works best if you can stick the 24 questions around a large classroom or sports hall so the groups have to run around to find their next question. All the classes I've done these activities with have loved them.