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 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 set of resources contains everything you need to teach the topic of inequalities on graphs. The students need to be confident with straight line graphs for this topic so the first worksheet is a refresher of those. Next is a powerpoint with worked examples of finding the single inequality represented by a shaded region. The worksheet that follows practises finding the single inequality that describes the given shaded region (4 pages). The next worksheet practises finding the 3 inequalities that describe the given shaded region (4 pages). The worksheet "Inequalities on graphs" gives students lots of practice drawing the shaded region (both single and multiple inequalities) and finding inequalities for shaded regions (10 pages). The final resource is intended as a homework or summative assessment (4 pages). All answers are included for printing/projecting for your class to check their answers.

The introduction activity highlights the difference between bar charts and histograms and the fundamental area=frequency property. The main worksheet (drawing and using histograms) has an introductory section to summarise how histograms work, 3 examples to work through as a class and then 7 pages of questions for students to attempt. All answers are included, either at the end of the worksheet or on the separate solutions document. The final document has examples of finding the median and inter-quartile range from a histogram. This is designed to be done as a class and then the students can practise this using certain questions on the main worksheet.

I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve. This worksheet has examples and an exercise on stretches. The examples are designed to work through as a class and then the rules for the different stretches can be completed. There are 6 pages of questions for students to complete, including sketching the stretched graph, stating the equation of a stretched graph and stating the new coordinates of a point on the original graph. All answers are included - I usually project these so that the whole class can check their answers. Please note this topic is not in the new GCSE spec.

I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve. This worksheet revises the rules for the different graph transformations and then has an exercise to practise the whole topic. There are 7 pages of questions for students to complete, including sketching the transformed graph and stating the equation of a transformed graph. All answers are included - I usually project these so that the whole class can check their answers. Please note this is designed for the new GCSE spec so only covers translations and reflections.

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.

I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve. This worksheet has examples and an exercise which focuses on reflections but some questions also involve translations. The examples are designed to work through as a class and then the rules for the different reflections can be completed. There are 7 pages of questions for students to complete, including sketching the transformed graph and stating the equation of a transformed graph. All answers are included - I usually project these so that the whole class can check their answers.

I've always thought that graph transformations is a difficult topic to teach well from a textbook, that's the reason I created these worksheets so my classes could practise sketching the transformations without having to draw axes or try to copy the original curve. This worksheet introduces the topic of graph transformations and then has examples and an exercise on translations. The examples are designed to work through as a class and then the rules for the different translations can be completed. There are 6 pages of questions for students to complete, including sketching the translated graph and stating the equation of a translated graph. All answers are included - I usually project these so that the whole class can check their answers.

The first worksheet studies the interior angles of polygons and is designed to help students realise the method for working out the sum of the interior angles of an n-sided polygon. There is also a short exercise of questions to practise using the rules they have found. The second worksheet studies the interior and exterior angles or regular polygons and is designed to help students realise the easiest way to find the interior/exterior angle of an n-sided polygon or to work out the number of sides of a regular n-sided polygon with a given interior or exterior angle. There is also a short exercise of questions to practise using the rules they have found. Answers to both exercises are included.

This 15-page worksheet takes your students through the whole topic of functions which is in the new GCSE. The worksheet has 3 sections. Section A covers function machines, substitution of values and values where the function is not defined. Section B covers inverse functions. Section C covers composite functions. Each section has an introduction with some examples, followed by an exercise for the students to work through. Answers to all exercises are included.

The first resource is table of 34 questions where the students must find, for example, the equivalent decimal and percentage for the given fraction. This worksheet does not require knowledge of recurring decimals. The second resource is for more advanced conversion of decimals to fractions and vice-versa. It is a 4-page worksheet which focuses on converting recurring decimals, including proofs. Answers to both worksheets are included.

The test includes 21 questions with 4 possible answers to choose from. A very quick way of assessing the knowledge of your class and the accuracy of their work, in a style of question now common on the new GCSE paper. Answers included.

Each worksheet contains 30 questions. The first worksheet has examples of the form (a+b)^2 and (a-b)^2. The second worksheet has examples of the form (a+b)(a-b). All answers are included.

This worksheet is designed to develop students' knowledge and confidence when expanding and simplifying expressions that involve two brackets. The worksheet includes questions ranging from 2(3x+4) - 5(x-3), then (x+4)(x+2), (x-3)^2, and up to (2x+1)(x-4). The solutions are fully worked solutions showing each step of the expansion and simplification.

These resources can be used to teach the topic of estimation - where the result of a calculation is estimated by rounding the value of all numbers in the calculation to 1 significant figure. The powerpoint presentation introduces the method and contains examples for the students to practise. Students can use the print-version to make notes and attempt the practice questions. The group activity is a differentiated activity that allows each group to choose the difficulty of question they attempt in each round. Instructions, answers and a scoring spreadsheet are included. The estimation worksheet contains 18 questions. The treasure hunt is a group activity which can be done at desks or can involve the class moving around the room to find the next question - usually a very popular activity! All answers are included.

The powerpoint presentation can be used to introduce this topic, containing examples and explanations. The notes and examples sheet can just be handed out as a reminder during the tasks, or later as a revision resource. The first activity just requires the students to indicate on a grid whether each item is an equation, expression, identity or formula. The second activity involves cutting out each item and putting/sticking it into the correct column on the answer table. All answers are included.

These worksheets can be used to introduce and practise the new GCSE topic of equation of a circle (centred at origin) and the equation of a tangent to a circle. The first worksheet starts with an activity that helps the students to realise that x^2 + y^2 = k is the equation of a circle and is followed by some questions to practise using it. The second document is an 8-page worksheet which can be used to revise all the necessary skills/knowledge required before studying the equation of a tangent to a circle. Working through this first seemed to really help my GCSE group with this topic. Answers are included. The third document is a 9-page worksheet which focusses on finding the equation of a tangent to a given circle at a particular point or with a particular gradient. All answers are included.

These resources can be used as a test or a homework to assess how well your class has understood the equation of straight line graphs. The first resource is a 4-page test where students must draw graphs, find gradients or points using y=mx+c, find the equation of graphs and answer questions about parallel and perpendicular lines. The second resource is another 4-page test, similar to the first, with some slightly altered questions. The third resource contains 24 multiple-choice questions. This is a quick way of assessing knowledge and understanding and is a common style of question in the new GCSE papers. All answers are included.