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).

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 can be used to introduce how the efficiency of algorithms can be compared and measured. In the first worksheet there is an example comparing bubble sort and shuttle sort, an example finding the order of an algorithm and then some examples using the order of an algorithm to estimate the time it will take to solve a problem of a particular size (fully-worked solutions are provided). In the second worksheet there are 12 exam-style questions on using the order of an algorithm to estimate the time it will take to solve a problem of a particular size. There is also the excel spreadsheet I created to generate examples - this can used to make as many more examples as you want.

This worksheet has 4 pages of questions, each with a diagram, for your students to practise finding the area between two graphs. The first 4 questions are on areas between a curve and a line, the remaining questions are on areas between 2 curves. Answers to all questions are provided.

This 4-page worksheet will give your students plenty of practice at representing linear and quadratic inequalities on graphs, as well as writing down the inequalities illustrated by given regions. This printable resource will make it much easier for your classes to work through this topic rather than working from a textbook or drawing axes/diagrams themselves. There are over 30 questions on the worksheet - solutions are provided.

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 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.

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.

My year 7 class struggled to learn the rules for doing calculations that involved negative numbers so I created these resources to try to help them understand the rules and to give them lots of practice. The first resource focuses on addition and subtraction, with explanations of how the calculations can be understood with reference to a number line, and then exercises with lots of practice (over 150 questions). The second resource focuses on multiplication and division, with a page dedicated to them just practising determining whether the answer of a calculation should be positive or negative, and then an exercise with lots of practice calculations (over 80 questions). The third resource contains mixed questions with all 4 operations (over 60 questions). Answers to all the questions are included. The final resource is a spreadsheet where pupils can practise calculations and get instant feedback on their accuracy. Note that the spreadsheet contains macros so when opening the file users may need to click on “Enable editing” or “Enable macros” for it to function correctly.

This 4-page worksheet introduces the method for solving quadratic inequalities of the form x^2k. After explaining the method there is a short exercise to practise solving inequalities of the form x^2k. There are then some examples that require simplification or rearranging to solve (e.g. 3x^2-75>0) to work through as a class, followed by an exercise of similar questions for students to attempt. All answers are included.

This worksheet contains over 20 questions for students to practise solving 3-term quadratic inequalities. For the first handful of questions a sketch of the quadratic graph is provided as an aid. The questions become increasingly difficult and this worksheet will be a good challenge for able GCSE pupils who know the methods for solving quadratic equations. All answers are included at the end of the worksheet.

This worksheet has 10 pages of questions for students to practise finding the shaded area between two shapes (2D) or the difference between the volume of two shapes (3D). There is a mixture of calculator and non-calculator questions, which is clearly indicated. All answers are provided at the end of the worksheet.

If one shape is placed inside another a common question is "what fraction of the larger shape is taken up by the smaller shape inside it?". In my experience students struggle with this type of question unless they've had a fair bit of practise. This worksheet has a mixture of 2D/3D questions on this topic, with all answers provided.

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.

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.

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 starts by introducing a method for drawing pie charts and has an example to work through as a class, followed by 6 examples for students to complete. The next section focuses on getting information from a pie chart - starting with an example to work through as a class and then 6 examples for students to complete. All answers are included.