After a few years of teaching sorting algorithms by creating and working through examples on the board I got sick of it and created these resources. They make it easy to introduce, work through some examples and then there is another worksheet full of examples for students to attempt where the fully-worked solutions are already done, making it easy to check. The printable worksheets mean that students don't need to copy down lists of numbers or create tables to work on - this means they can spend the time just practising using the algorithm. There is also the excel spreadsheet I created to generate examples - this can used to make as many more examples as you want (instructions are on the spreadsheet).

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.

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.

This resource is a great way to assess your class after teaching all the "using graphs" topic. There are 12 questions in total, covering the following: 1. Intersections of graphs 2. Using the discriminant to show/determine the number of points of intersection 3. Graph transformations 4. Proportion 5. Inequalities on graphs Fully worked solutions to all questions are provided.

These 3 resources cover the following types of percentage question: 1. Writing one quantity as a % of another 2. Finding a % of a quantity 3. Increase/decrease by a % 4. Finding the % change Each resource is split into a non-calculator section and a calculator section. Each section has an introduction where the method(s) is/are explained with some examples to illustrate, followed by an exercise for students to complete. In total there are over 150 questions for students to work through - all solutions are provided.

I found it time-consuming tryingto teach my classes how to resolve forces by drawing diagrams on the board and asking them to copy them down - it seemed to take ages and they didn't get to work through that many examples themselves. So I created this worksheet with ready-made diagrams with all the forces and a blank copy of diagram for students to add on the resolved forces. I no longer dread teaching this skill and my classes get a lot more done in the lesson time. The worksheet starts with an introductory explanation and a worked example. There are then over 20 questions for students to attempt. Fully worked solutions are included.

This 11-page resource covers all the required knowledge and techniques for determining if curves are convex/concave and finding points of inflection, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections/topics are: 1.Convex and concave curves (a) determine from a sketch if curve is convex, concave or neither (b) find the values of x for which a graph is convex (or concave) © show algebraically that a function is convex (or concave) 2.Points of inflection (a) find the point(s) of inflection on a graph (b) determine whether a point of inflection is stationary or non-stationary © show that a curve has no points of inflection (d) use point(s) of inflection to determine the values of x for which a curve is convex (or concave) This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

This worksheet covers how to solve single and double-sided inequalities and includes representing the solution on a number line as well as considering examples where integer solutions are required. The introduction covers what the solution to a linear inequality should look like and, by means of a few examples, explores the similarities and differences between solving equations and inequalities. The first exercise (52 Qs) then gives students practice solving inequalties of the form ax+b>c, x/a+b The second section focuses on double-sided inequalities such as 3 The final section is designed to help students consider the integer solutions to an inequality. In the examples students need to find the smallest possible integer value of n if n>p, the largest possible integer value of n if n Answers to all the exercises are provided, including the solutions on number lines. Also included is a homework/test with fully worked solutions.

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.

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.

This worksheet makes it easy to introduce and teach the trapezium rule to your classes. The first page has diagrams to illustrate the method and the derivation of the formula is broken down into steps for you to work through with your class. Projecting all this is so much easier than drawing it out by hand. The trapezium rule formula is then stated at the top of page 2, followed by 3 pages of examples of examination-style questions that test the use of the formula and your students’ understanding (is the answer from the trapezium rule an underestimate or overestimate, can they use their answer to deduce an estimate for a related integral, etc). Answers to all the examples are provided. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

These resources are a good way to quickly cover/revise the whole topic of linear equations. The first resource begins with a few notes on what forms linear equations can take and some of the steps or methods that may be required to solve them. There are some parts of the notes that need to be completed with your students, to practise the algebraic steps involved in solving linear equations. There are then several sections, each section focussing on a particular form of linear equation. There are a few examples to complete with your students as practice, then an exercise for students to complete on their own. There is also an exercise of mixed questions at the end. Answers to all the exercises are included. Section A - Solving x+a=b, x-a=b, a-x=b Section B - Solving ax=b Section C - Solving x/a=b and a/x=b Section D - Solving ax+b=c, ax-b=c, a-bx=c Section E - Solving x/a+b=c, x/a-b=c, a-x/b=c, a-b/x=c Section F - Solving (ax+b)/c=d, (ax-b)/c=d, (a-bx)/c=d Section G - Solving a(bx+c)=d, a(bx-c)=d, a(b-cx)=d Section H - Solving ax+b=cx+d, ax+b=c-dx Section I - Solving a(bx+c)=dx+e, a(bx+c)=d-ex Section J - Solving (ax+b)/c=dx+e, (ax-b)/c=dx+e, (a-bx)/c=d-ex Section K - Mixed exercise The second resource gives your students practice of solving linear equations using a graph. Worked solutions to this sheet are included. The final resource is a homework/test with 35 questions that cover the whole of the topic, including solving linear equations using a graph. Worked solutions are included.

This resource covers all the required knowledge and skills for the A2 topic of combined graph transformations. It begins by reviewing the individual transformations and their effects on the graph or its equation. The first section focuses on finding the equation of the curve resulting from 2 transformations - there are some examples to complete with your class and then an exercise for them to do independently. The exercise does include some questions requiring a sketch of the original and the transformed curve. Within that exercise there are questions designed to help them realise when the order of the transformations is important. The second section focuses on examples where the transformations must be applied in the correct order. There are examples to complete and then an exercise for students to attempt themselves. The exercise includes questions where the resulting equation must be found, where the required transformations but be described, and some graph sketching. Answers to all the questions in the exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

Teaching a class about the shape of trigonometric graphs and using them to learn rules that can be used to solve trigonometric equations can be difficult using a textbook or drawing on a whiteboard - I find it much easier with these printable worksheets with ready-drawn grids and graphs. The first worksheet gets students to work out and plot values of the sine function between 0 and 360 degrees so see the shape of the curve. There are then a number of examples using the sine graph to find angles with equivalent values using sine (e.g. sin 30 = sin 150). The worksheet finishes with some equations to solve, of the form sinx = a, where the students should use the rule(s) they have learned to find all the solutions. The next two worksheets follow the same format as the first, but now for the cosine and tangent functions. The last document practises working with all 3 graphs/functions so it can be used as a summary activity or assessment.

This worksheet contains 25 pages of questions on objects on pulleys - ideal practice for students preparing to sit their Mechanics 1 module exams. It has an introductory section which explains the important principles and terminology used, then there are 41 (multi-part) examination-style questions for students to work through. Answers to all questions are provided.

This 25-page resource covers all the required knowledge and techniques for using fixed point iteration to find roots of an equation, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections/topics are: 1.Introduction to the method (a) creating an iterative formula from an equation f(x)=0 (b) using fixed point iteration to find successive approximations or an estimate of a root © illustrating the covergence of the approximations on a cobweb or staircase diagram 2.Conditions where fixed point iteration fails (a) situations where successive approximations do / do not converge to a particular root (b) situations where successive approximations do not converge to any root © how to predict whether an iterative formula will produce approximations that converge towards a root (d) illustrating the covergence / divergence of the approximations on a cobweb or staircase diagram This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces and diagrams provided for solutions. The exercises contains over 35 questions for your students to complete. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

This worksheet contains 25 pages questions on resultant forces and equilibrium - ideal practice for students preparing to sit their Mechanics 1 module exams. This is a huge resource of questions and covers finding the resultant from 2/3 forces (including use of bearings), total contact force, finding a force given the resultant, and a triangle of forces for equilibrium. At the start of each new type of question there is a short note with the required information or skill to be able to solve that type of problem. Many questions come with a diagram as an aid. Answers to all the questions are provided.

This worksheet contains nearly 50 questions on collisions of objects - ideal practice for students preparing to sit their Mechanics 1 module exams. It has an introductory section which explains the conservation of momentum principle, then there are 18 questions with "before and after" diagrams to help students solve them. The remaining 29 questions are more demanding and typical of examination questions. Answers to all questions are provided.

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!