51����

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.

These resources are designed for the new GCSE higher tier. The first worksheet introduces how Venn diagrams work and the notation used for the different sections of the diagram. The second worksheet is to practise using the notation correctly. The powerpoint can be used as a whole class activity to see if they have learned the notation correctly - it contains 11 multiple choice questions, for each they must choose which option is the correct notation for the given Venn diagram. The final 10-page worksheet is a set of exam-style questions. All answers 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.

The introductory sheet looks at the three different types of ratio questions. For each type there are examples intended to work through as a class then there are additional questions for students to attempt on their own (answers provided). The second resource contains 12 exam-style questions (answers included).

These worksheets are great to give your students practice of all the types of sequences they are expected to know about for the new GCSE. Each sequence worksheet contains 20 questions. The questions include a mixture of finding the next term, finding an expression for the nth term, or finding the value of a given term later in the sequence. All worksheets come with solutions. Also included is a 3-page worksheet that can be used to explain the method used to find the nth term of a quadratic sequence. This is a nice way for students to experiment to discover the relationship between the 2nd differences and the coefficient of n^2 and see how this forms the basis for finding an expression for the general term. Answers to the worksheet are included. The final resource is designed to help students identify the type of sequence they are given. There are notes explaining the key properties of each type of sequence, with examples, and then there are 15 sequences for them to categorise and work out the next term. Answers are included. There is approximately 2 hours worth of material here for an able GCSE group.

This is a word document with 5 pages of templates that can be used to create histograms for examples or worksheets. I've tried to cover a good range of different sizes, the numbers on the axes can be amended and the bars can be created by copying and pasting the provided blocks. I hope you find this useful.

This document has a few different sets of axes with graph paper in 2 different formats. The numbers on the axes can be amended so can, to some extent, be customised to your needs. I hope you find them useful.

These printable resources are ideal for getting students to practise working out coordinates for quadratic functions and drawing their graphs. Partially completed tables and graph paper are provided for each question. The first worksheet contains 10 questions all of the form y=x^2+ax+b. The second worksheet contains 8 questions, some of the form y=x^2+ax+b and some are y=ax^2+bx+c where a>1. Some of these questions are harder that the first worksheet because there isn’t any “symmetry” within the y-values in the table, which serves as a check. The homework contains 6 questions: 4 of the form y=x^2+ax+b, 2 of the form y=ax^2+bx+c where a>1. All solutions are included to print or project for your class to check their tables and graphs.

A worksheet with 30 questions on equations involving algebraic fractions. In each question the equations must be rearranged to reach a quadratic equation. In later questions the quadratic equation must also be solved (using the quadratic formula). A good resource for a demanding higher tier GCSE topic. 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.

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. These are suitable for the new GCSE spec and include questions on invariant points. 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.

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 use these resources in the following way: Do Q1 on the 1st resource as examples of questions using a positive scale factor > 1, then they do questions 1 to 8 on the 2nd resource on their own. Do Q2 on the 1st resource as examples of questions using a positive scale factor < 1, then they do questions 9 to 16 on the 2nd resource on their own. Do Q3 on the 1st resource as examples of questions using a negative scale factor, then they do questions 17 to 24 on the 2nd resource on their own. Do Q4 on the 1st resource as examples of describing an enlargement, then they do the questions on the 3rd resource on their own. Solutions to all questions are included.