This resource can be used to quickly introduce the method for expanding expressions of the form (1+ax)^n where n is a positive integer. It begins by showing expansions of (1+x)^n for small values of n and highlights the coefficients to introduce Pascal's triangle. It then shows how nCr can be used to find the required coefficients in the expansions and has a few expansions of the form (1+x)^n for students to complete. Next is a worked example expanding (1-x)^n to introduce the technique and the pattern of the signs of the terms in the expansion, followed by a few expansions of the form (1-x)^n for students to complete. Next is a worked example expanding (1+ax)^n to introduce the technique and the best way to set out the working, followed by a few expansions of the form (1+ax)^n for students to complete. The answers to all the expansions are included.

This worksheet focuses on using the sum of angles in a quadrilateral to find missing angles. It assumes that students are already familiar with angles in triangles, on a straight line, vertically opposite angles, and angles in parallel lines. The first section covers different types of quadrilaterals and their properties. There is a short exercise where students practise choosing the correct type(s) of quadrilateral based on the information given. The second section begins with the result for the sum of angles in a quadrilateral. There are then some examples of finding angles - these are to be completed with your class. The exercise that follows is for students to attempt themselves. Answers to both exercises are included.

This 24-page worksheet has almost 80 questions on the topic of finding the area and perimeter of circles and sectors. There is a mixture of non-calculator and calculator questions, which are clearly indicated. All answers are provided at the end of the worksheet.

In each question the students are given two different shapes and told the relationship between their perimeters/area/volumes. Based on this information they must either work out a length of one of the shapes or express a length of one shape in terms of a length of the other. These can be demanding questions and, in my experience, students struggle with these questions unless they've had a fair bit of practice. This worksheet contains 6 pages of questions and all answers are provided.

This 16-page worksheet contains 50 questions. In each question the student is given the perimeter/area/volume of the shape and must use this to work out one of the lengths of the shape. There is a mixture of calculator and non-calculator questions, which are clearly indicated. All answers are included.

This worksheet has 10 pages of non-calculator questions on finding the surface area and volume of shapes, including cones and spheres. All answers are provided.

A set of six resources mostly on the more basic aspects of probability. 1. A worksheet on finding probabilities from two-way tables. 2. A worksheet on expectation. 3&4. Resources to introduce and practise questions on relative frequency. 5. An 8-page worksheet covering all aspects of basic probability. 6. A worksheet on independent, mutually exclusive, complementary and exhaustive events. Answers to all worksheets are provided.

These resources are designed to cover all the required knowledge for tree diagrams in the new GCSE. The introduction sheet is a reminder/introduction to how tree diagrams are formed and used. There are then 3 worksheets for students to work through. The first (8 pages) does not have any conditional probability, the second (8 pages) is entirely conditional probability and then the third (6 pages) is a mixture. The final resource (6 pages) can be used as a homework or summative assessment. Answers for all worksheets are provided.

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.

A worksheet with 6 pages of questions of increasing difficulty on the topic of area and perimeter just using rectangles, triangles, compound shapes and trapezia. It includes questions where the area of perimeter is given and an unknown length must be found. All answers are provided.

These resources are designed to cover the whole topic of direct and inverse proportion in the new GCSE (higher tier). The first resource is intended to be worked through as a class, learning the correct formulae to use in each case and working through examples. The second resource is a quick exercise to check students understand how to choose the correct formulae for direct and inverse proportion. The third resource is 6 pages of exam-style questions for students to work through on their own. The powerpoint presentation tests whether students can choose the correct formula to match a given graph showing the relationship between two quantities. The final resource can be used to revise the whole topic prior to a test or in preparation for examinations. All answers are included.

This simple 2-sided worksheet practises writing one quantity as a fraction of another, in its simplest form. There is an explanation of the method, together with a few examples to work through as a group. The exercise contains over 20 questions for students to attempt, with several questions in context towards the end. Solutions are provided.

I have found plenty of resources to help students find Euler’s formula, but couldn’t find any where students can practise using it - so I made one! This worksheet starts by reminding them of the result and then there are a few examples to work through with your class, followed by an exercise with 16 questions of increasing difficulty. Note - some of the questions involve use of (basic) algebra

This worksheet focuses on quadratic expressions where the question requires the candidate to show that the expression is always positive, never negative, etc. There is an introductory activity where students practise thinking about expressions of the form ax^2 + b, or a(x-b)^2 + c - doing a quick sketch of the graph and then deciding whether they are always positive, never negative, always negative or never positive. Next is a page of example proofs to work through with your class, followed by an exercise with 15 questions for your class to attempt themselves. Fully worked solutions to the examples and the exercise are included.

These are 2 different worksheets that can be used to practise/revise the most common types of linear equations that students are expected to be able to solve at GCSE level. Answers are included.