The introductory sheet looks at the three different types of ratio questions. For each type there are examples intended to work through as a class then there are additional questions for students to attempt on their own (answers provided). The second resource contains 12 exam-style questions (answers included).

These worksheets are great to give your students practice of all the types of sequences they are expected to know about for the new GCSE. Each sequence worksheet contains 20 questions. The questions include a mixture of finding the next term, finding an expression for the nth term, or finding the value of a given term later in the sequence. All worksheets come with solutions. Also included is a 3-page worksheet that can be used to explain the method used to find the nth term of a quadratic sequence. This is a nice way for students to experiment to discover the relationship between the 2nd differences and the coefficient of n^2 and see how this forms the basis for finding an expression for the general term. Answers to the worksheet are included. The final resource is designed to help students identify the type of sequence they are given. There are notes explaining the key properties of each type of sequence, with examples, and then there are 15 sequences for them to categorise and work out the next term. Answers are included. There is approximately 2 hours worth of material here for an able GCSE group.

This is a word document with 5 pages of templates that can be used to create histograms for examples or worksheets. I've tried to cover a good range of different sizes, the numbers on the axes can be amended and the bars can be created by copying and pasting the provided blocks. I hope you find this useful.

This document has a few different sets of axes with graph paper in 2 different formats. The numbers on the axes can be amended so can, to some extent, be customised to your needs. I hope you find them useful.

These printable resources are ideal for getting students to practise working out coordinates for quadratic functions and drawing their graphs. Partially completed tables and graph paper are provided for each question. The first worksheet contains 10 questions all of the form y=x^2+ax+b. The second worksheet contains 8 questions, some of the form y=x^2+ax+b and some are y=ax^2+bx+c where a>1. Some of these questions are harder that the first worksheet because there isn’t any “symmetry” within the y-values in the table, which serves as a check. The homework contains 6 questions: 4 of the form y=x^2+ax+b, 2 of the form y=ax^2+bx+c where a>1. All solutions are included to print or project for your class to check their tables and graphs.

I have used this 4-page worksheet with my classes to get them to understand the process of completing the square on expressions of the form x^2+ax+b. The worksheet takes them through the following stages: 1. Practise expanding and simplifying (x+p)^2 2. Practise expanding and simplifying (x+p)^2+q 3. Practise writing x^2+ax+b in the form (x+p)^2+q My classes have usually had a good understanding of how completing the square works after finishing this worksheet and are ready to practise using it to solve quadratic equations.

An 8-page test covering all aspects of the topic. Designed for the new GCSE spec so includes invariant points. Solutions included.

My classes have often found this a tricky topic and I found it difficult to explain it well and give them sufficient examples with work on the whiteboard and a textbook. The first worksheet has made me more confident when teaching this topic and certainly contains plenty of examples (12) to help students understand the methods used to answer these questions. The second worksheet is just some additional practice of the rearranging of equations which is often required when using a given graph to solve an equation. Solutions to both worksheets are included.

These printable worksheets make it easier to teach this topic as the questions and solutions can just be projected onto a board or screen to work through or check as a class. This is suitable for the new GCSE spec (includes invariant points). I normally work through the first worksheet as an example and then set the second worksheet (12 pages) as a task for the class to do on their own. Solutions included.

These printable worksheets make it easier to teach this topic as the questions and solutions can just be projected onto a board or screen to work through or check as a class. These are suitable for the new GCSE spec and include questions on invariant points. I normally work through the first worksheet as an example and then set the second worksheet as a task for the class to do on their own. Solutions included.

These printable worksheets make it easier to teach this topic as the questions and solutions can just be projected onto a board or screen to work through or check as a class. This is suitable for the new GCSE spec (includes invariant points). I normally work use these resources in the following way: Do Q1 on the 1st resource as examples of questions using a positive scale factor > 1, then they do questions 1 to 8 on the 2nd resource on their own. Do Q2 on the 1st resource as examples of questions using a positive scale factor < 1, then they do questions 9 to 16 on the 2nd resource on their own. Do Q3 on the 1st resource as examples of questions using a negative scale factor, then they do questions 17 to 24 on the 2nd resource on their own. Do Q4 on the 1st resource as examples of describing an enlargement, then they do the questions on the 3rd resource on their own. Solutions to all questions are included.

The powerpoint can be used as a whole class activity to practise spotting which type of transformation has occurred and what information must be given to fully describe it. The printable worksheets make it easier to teach this topic as the questions and solutions can just be projected onto a board or screen to work through or check as a class. This is suitable for the new GCSE spec (includes invariant points). Solutions included.

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.