These resources can be used as a test or a homework to assess how well your class has understood the equation of straight line graphs. The first resource is a 4-page test where students must draw graphs, find gradients or points using y=mx+c, find the equation of graphs and answer questions about parallel and perpendicular lines. The second resource is another 4-page test, similar to the first, with some slightly altered questions. The third resource contains 24 multiple-choice questions. This is a quick way of assessing knowledge and understanding and is a common style of question in the new GCSE papers. All answers are included.

The introduction activity is designed to enable students to discover the 9 circle theorem results by following instructions about what to draw and then measuring the resulting angles. The theorems should be covered in the same order as on the "9 rules" sheet which can be displayed or handed out afterwards. There are some spare circles provided at the end if students make mistakes. The group activity is a differentiated activity that tests all the circle theorems once they have been learned and practised. Instructions, answers and a scoring spreadsheet are included. The powerpoint presentation can be used as a class to practise using all the circle theorems. For each slide the class must work out the size of the missing angle and state the circle theorem used.

This is a desert-island themed activity where students must follow instructions involving bearings and using the scale of the map to find where Mr.Crusoe visits each day. All my classes have loved this activity (and have enjoyed colouring in the map afterwards!). Make sure the map is printed as A3 size or the scale will not be correct!

This worksheet is designed to develop students' knowledge and confidence when expanding and simplifying expressions that involve two brackets. The worksheet includes questions ranging from 2(3x+4) - 5(x-3), then (x+4)(x+2), (x-3)^2, and up to (2x+1)(x-4). The solutions are fully worked solutions showing each step of the expansion and simplification.

These resources can be used to teach the topic of estimation - where the result of a calculation is estimated by rounding the value of all numbers in the calculation to 1 significant figure. The powerpoint presentation introduces the method and contains examples for the students to practise. Students can use the print-version to make notes and attempt the practice questions. The group activity is a differentiated activity that allows each group to choose the difficulty of question they attempt in each round. Instructions, answers and a scoring spreadsheet are included. The estimation worksheet contains 18 questions. The treasure hunt is a group activity which can be done at desks or can involve the class moving around the room to find the next question - usually a very popular activity! All answers are included.

The first resource is table of 34 questions where the students must find, for example, the equivalent decimal and percentage for the given fraction. This worksheet does not require knowledge of recurring decimals. The second resource is for more advanced conversion of decimals to fractions and vice-versa. It is a 4-page worksheet which focuses on converting recurring decimals, including proofs. Answers to both worksheets are included.

The presentation introduces the idea of drawing a graph to represent how quickly a container fills with liquid over time. The print-version can be given to pupils to make notes on and complete as the presentation is shown. The worksheet is designed to test their understanding after completing the presentation (answers are included).

Each worksheet has a number of examples of graphs for students to learn/practise finding information from the graph. The worksheets include estimating velocity or acceleration by drawing a tangent to the curve. All solutions are included.

This worksheet is designed to help students practise writing or understanding descriptions of graph transformations. There are 2 types of questions on the worksheet. In the first they are given the equation of the original graph and the equation of the transformed graph - they must a correct description of the transformation. In the second type they are given the equation of the original graph and the description of the transformation - they must write down the correct equation of the transformed graph. There are 20 questions of each type. All answers are included. Please note this is designed for the new GCSE spec so only covers translations and reflections.

After teaching my classes how to integrate using "reverse chain rule" and giving them enough practice to feel confident about the method, I have used this worksheet to try to encourage them to use less time and steps. My classes enjoyed the challenge of trying to complete the sheet within the time - you can always amend the time limit for weaker/stronger groups. Solutions are attached. Note that this sheet assumes that students know how to integrate the function e^x and 1/x.

This resource is designed to introduce the method for finding the volume of a shape created when an area is rotated around an axis. The first side explains the derivation of the formulae - I would recommend you also try to show your students an animation that helps them visualise a 3D shape being created by a region rotating about an axis (lots are freely available online). There are then 5 pages of questions for your students to complete. Most of the questions are in two parts - the first part involves finding an area, the second part involves finding a volume (a very common style of question in examination papers). Note that students are expected to be able to integrate using ln, e and reverse chain rule. Answers to all questions are provided.

The first resource guides your students through the whole process of using the Simplex algorithm to solve a linear programming problem. The first page explains how the initial tableau is formed, how the objective function must be written and how the inequalities that represent constraints must be written as equations with the introduction of slack variables. The first exercise (11 questions) gives them the opportunity to practise writing the initial tableau correctly for different problems. Grids are provided so students focus their time and energy on only the values in the tableau. The next section describes how an iteration of the algorithm is performed and links the iterations to the graphical solution, showing how each iteration moves to a different vertex of the feasible region. There is then another exercise with 10 questions for students to practise performing iterations and finding the optimal solution. Again, grids are provided so students focus their time and energy on only the steps of the algorithm and the values in the tableau. Fully worked solutions are provided to all the questions in the exercises. The second resource is a spreadsheet that automatically solves any simplex tableau in 2/3 variables with 2/3 constraints - a useful resource for doing/checking solutions to other questions from a textbook or examination paper.

This resource is designed to introduce the method of finding dx/dy and using this to work out the gradient of a curve. There are 3 examples to work through as a class - these will show that to differentiate a curve in some cases it is necessary to have the equation of the curve in the form x=f(y). There is then a short note to summarise the method and then 3 pages of examination-style questions for students to practise. Answers are included.

I designed this worksheet to try to teach a weak GCSE group how to change the subject of a formula. The introduction explains what is meant by the "subject", and has a few examples to make sure this is clear in the students' minds. In exercise A there are 17 multiple-choice questions where students simply circle what they think is the correct rearrangement of the formula. The idea is that, as they are multiple choice, all students will be prepared to have a go at these questions and as you go through the answers there will be discussion points about the step(s) required and different ways you might set out your working or final answer. In exercise B there are 15 questions where the students must change the subject of the formula themselves. Solutions to the worksheet are provided. Note that the sheet contains questions where the new subject appears once only.

This worksheet can be used to teach/practise the required knowledge and skills expected at A level for the topic of proportion. The first page focuses on writing down the correct equation in different cases of direct and indirect proportion. The second page focuses on the graph(s) that can represent different types of proportion. The final page has a number of problems to solve with variables that are directly or inversely proportional. Fully worked solutions to all questions are provided.

This worksheet is designed so that students will hopefully gain an understanding of the process of converting mixed numbers and improper fractions, without having to write down a series of steps or instructions to follow. For both conversions the first set of questions are scaffolded, then for later questions the scaffolding is removed so they are doing the whole conversion themselves. There are 20 conversions in both directions, worked solutions are provided.

The first resource guides your class through the process of using the real and complex roots of z^n+k=0 to write down its real factors. The introduction includes the important result about the sum of conjugates and then uses equations of the form z^n=1 or z^n=-1 to establish that there is always an even number of complex roots, which can be put into conjugate pairs. It is then shown how each conjugate pair of roots produces a real quadratic factor, while each real root produces a real linear factor. To practise all this there is an exercise with 7 questions for students to complete. Solutions to all the examples and the exercise are included. The second resource contains an exercise with further examination-style questions on this topic. This could be used as additional practice in class or as a homework/test. Answers are provided.

These are two 2-sided worksheets that cover all calculations with fractions. The adding/subtracting worksheet goes step-by-step through the process of making the denominators equal prior to the calculation. The first exercise (12 questions) involves adding/subtracting fractions and mixed numbers where the denominators match, the second exercise (34 questions) involves adding/subtracting fractions and mixed numbers where the denominators do not match. The multiplying/dividing worksheet begins with a reminder of the method, together with a few examples to work through as a group. There are then two exercises, each with 20 questions, first to practise multiplying and then to practise dividing fractions and mixed numbers. Fully worked solutions to all questions are provided.

These 3 resources cover the following types of percentage question: 1. Writing one quantity as a % of another 2. Finding a % of a quantity 3. Increase/decrease by a % 4. Finding the % change Each resource is split into a non-calculator section and a calculator section. Each section has an introduction where the method(s) is/are explained with some examples to illustrate, followed by an exercise for students to complete. In total there are over 150 questions for students to work through - all solutions are provided.