These resources deal with problems where 2 or more items are chosen at random, we are given the probability of a particular outcome, and this is used to derive a quadratic equation that then needs to be solved. The first resource can be used to teach the topic. It is in two sections - section A deals with selection with replacement, section B deals with selection without replacement. In each section there are 2 examples to work through with the class, followed by an exercise with more than 10 questions of increasing difficulty for the class to attempt themselves. Fully worked solutions to the examples and exercises are included. The second resource is another set of questions that can be used as a homework or revision - 8 questions that are a mixture of with/without replacement. Also included is a spreadsheet that calculates the probabilities for all outcomes in situations where there are between 5 and 40 items - just in case your class loves this topic and wants more questions!

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

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.

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.

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 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.

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.

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 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.

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.

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.

I think this is difficult topic to teach well from a textbook. I find these resources make it a lot easier to teach the topics and help my classes make greater progress in the lesson. A practice worksheet for loci (8 pages, with solutions), then a practice worksheet on constructions (8 pages). Then a mixed worksheet (8 pages, with solutions). Note - make sure these worksheets are printed at full size (A4) or the scale/measurements will not work!

This powerpoint presentation contains 25 multiple-choice questions on the topic of area and perimeter of circles and sectors. It is a fun way to assess the whole class at the end of teaching this topic, or it can be used as a competitive activity with the class divided into teams. The questions are designed to be attempted without a calculator. Each questions has 4 possible answers from A to D. This activity works best if each person/team has (coloured) cards with the letters A to D on to hold up to show what they think is the correct answer.

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.

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.