This simple 2-sided worksheet has lots of questions for your class to practise expanding a bracket. The questions gradually become more difficult and there are some questions at the end where they have to find the error in expansions and then correct them.

This 2-sided worksheet is a good way to introduce/revise factorising with a single bracket. There is a brief introduction to explain the difference between “factorise” and “factorise fully”, together with a few examples to work through as a class to illustrate the method for each type of question. There are then lots of questions for students to attempt, starting with the most straightforward where just one number is put outside the bracket, working up to questions where numbers and variables need to be outside the bracket. Solutions are included.

This is a test I have used with year 9 classes after teaching them powers (evaluating and simplifying) and standard form (writing numbers in SI form and doing calculations in SI form). The test includes negative and fractional powers. The answers/mark scheme is included.

This printable worksheet makes it easy to introduce the route inspection algorithm and will help your students understand how to apply the algorithm. The first page reminds students about Eulerian and semi-Eulerian graphs, how these are the types of graphs we require to solve the route inspection problem, and then has an example where you can introduce the idea of adding/repeating arcs to create the type of graph you need. The next page summarises the steps of the general algorithm and then the set of example questions begins. There are 14 questions in total, all with diagrams, with some requiring a closed route and some that do not. Fully worked solutions for all examples are provided.

It can be difficult to understand the forces acting when one object is placed on top of another. I have used this worksheet to help my students understand this type of problem and give them the opportunity to practise questions ranging from basic up to examination standard. There are 10 questions in total, worked solutions are included.

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 printable worksheet can be used to introduce methods for expanding 2 brackets and get your class to practise the expanding and simplifying. The first side suggests three alternative approaches that can be used (see the included solutions if any of these are unfamiliar to you) and has space to work through an example with the class for each method. There are then 3 pages of examples for students to attempt (answers included).

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.

A treasure hunt activity for a class to attempt individually or in groups. There are 24 questions, numbered from -12 to -1 and 1 to 12. Each group chooses a number 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 between -12 and 12 (except 0) - 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 11 then after Q6 they should attempt Q11 (and they should have 6 -> 11 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.

This 2-sided resource is designed to be used as a homework or test after teaching your class the following algebra topics: 1. Substitution of values into expressions or formulas 2. Simplifying expressions 2. Expanding of a single bracket or two brackets 4. Factorising using a single bracket Answers are provided.

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.

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.

These resources will help your class understand how performing 2 transformations on a graph will affect its equation. The first worksheet has several examples designed to help the students realise when the order in the which the transformations are performed is important. The second worksheet is split into 2 sections. Section A has 10 questions where students must use the description of the pair of transformations to find the equation of the resulting curve. Section B has 18 questions where students must describe the pair of transformations that map the initial graph onto the transformed graph. Solutions to both worksheets are included. Note that these worksheets assume that students are familiar with the functions e^x, ln x and inverse trigonometric functions.

These resources are designed to aid the teaching and learning of using a graphical method to solve linear programming problems. The first resource introduces the idea of representing inequalities on graphs and finding the point(s) that maximise a given objective function. There are also some examples that require integer solutions so the optimal point is not at a vertex of the feasible region. The second resource provides practice of solving problems with a provided graph - these are examination style questions and involve considering how changes to the objective function may change the optimal point(s). The third resource has 2 example questions in context where the students must use a description of a problem to formulate the objective function and the non-trivial constraints, and then go on to solve the problem graphically. Grids are provided for all graphs and solutions are included for all questions.

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. 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. Similar resources available for reflections, rotations and enlargements - please see my shop.

In a desperate attempt to make rounding more fun, here is a worksheet where each question involves rounding several values, each answer produces a letter, then these letters must be rearranged to find the title of a film. The rounding involves rounding to both decimal places and significant figures. Most films should be known by most students but this resource will need updating from time to time! Solutions are included.

This is a worksheet that is designed to be used to introduce the methods/formulae for solving arranging and choosing problems and includes exercises for the students to practise each type of problem. It includes 5 sections, one for each different type of problem. Each section has an introductory activity to work through as a class, followed by an exercise for the students to attempt. There is also a mixed exercise at the end. All answers included. This is intended for the new GCSE maths syllabus.

Powerpoint presentation designed to review the methods and formulae required to solve arranging and choosing problems. Useful to review the methods before setting an exercise or for revision of the topic. Suitable for the new GCSE maths syllabus.

A two-sided sheet of questions designed as a homework or summary task after learning how to solve problems involving arranging and choosing items. Worked solutions included. Suitable for the new GCSE maths syllabus.

The introduction sheet is designed to be used as a class activity to learn about bearings and then solving problems involving bearings using trigonometry. The second sheet is a worksheet with a mix of problems involving trigonometry and bearings (answers included).