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 is a fun game which is simple enough for any class to understand and play quickly, but is also unusual and interesting enough for older/brighter classes to enjoy. A great end of term activity or just a good activity that teaches strategy. This works best on an interactive whiteboard where players can make moves by touching the board, but would also work by projecting it onto a screen and the players making moves using a mouse on a PC. Full rules/instructions are on the first slide.

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!

The presentation and accompanying sheet can be used to introduce plotting points on a scatter diagram, considering correlation and the line of best fit. The worksheet can then be given to students to practise the topic - worked solutions are provided.

Once your group has learned the rules for simplifying, manipulating and rationalising these resources are great for revising all the knowledge and skills they need. The revision sheet has 4 pages of questions covering all the expected skills at GCSE level for this topic - fully worked solutions are included. The worksheet/homework contain examination-style questions. I use the first worksheet as examples in class and then the second sheet can be used as a homework. The test is 3 pages long and covers the basic skills up to some demanding examination-style questions. A mark scheme with worked answers is included.

A powerpoint presentation that reminds students what information is required to use the Sine/Cosine rule and then has a number of examples for them to consider which rule should be chosen. The printable version can be given to student to complete, annotate or make notes on as you work through the slides.

This worksheet starts with a refresher of the 2 methods to find the equation of a straight line if we know its gradient and a point it passes through. The next section is on finding tangents. There is an introduction with an explanation of the method, a couple of examples to work through as a class, and then 15 questions for students to do themselves. The next section is on finding normals. Again, there is an introduction with an explanation of the method, a couple of examples to work through as a class, and then 10 questions for students to do themselves. All answers to the students questions are included. Note that this resource was designed specifically for the Level 2 Further Maths qualification, so only covers differentiating functions with positive integer powers such as y=5x^3-4x+2, but can still be used an introduction to the general method of finding tangents and normals to a curve.

The first worksheet introduces the method for finding the point(s) on a curve with a particular gradient. There are a few examples to work through as a class and then 16 questions for students to attempt. The second worksheet focuses on finding stationary points. Again, it explains the method, has a few examples to work through as a class and then 20 questions for students to complete. The worksheet then has a section that can be used to explain how to determine the nature of a stationary point by considering the gradient of the curve just before/after the point. There are some examples to do as a class and then 8 questions for students to complete. The final worksheet can be used to explain and practise using the second derivative for determining the nature of stationary points. Answers to all exercises are included. Note that this resource was designed specifically for the Level 2 Further Maths qualification, so only covers differentiating functions with positive integer powers such as y=5x^3-4x+2, but can still be used an introduction to the general method of finding stationary points on a curve.

This worksheet covers the types of calculations that are possible with matrices and provides students with plenty of practice of each calculation. For each type of calculation there is an introduction, some examples to do as a class and then an exercise for students to work through. In total there are over 60 questions for students to complete, all answers to the exercises are provided. Note that this resource was designed specifically for the Level 2 Further Maths qualification, but can still be used an introduction to calculations with matrices.