The first 3 resources help students to learn to label the sides of the triangle correctly (adjacent, opposite and hypotenuse). There are then 2 worksheets, each with 18 questions to practise finding angles or sides using trigonometry. Answers are included. The short worksheet on angle of elevation/depression explains what the angles represent and has 4 examples for students to complete - answers are included. The multiple choice questions (including some non-calculator) can be used as an assessment after covering this topic. Answers are also included.

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 12 page resource covers the solution of 2nd order differential equations by finding the roots of its auxiliary equation, and its particular integral. The first section focuses on cases where the auxiliary equation has real roots (distinct or repeated). It begins by concentrating on finding only the complementary function - there are several examples to work through with your class and then an exercise with 14 questions for students to attempt. There are then a few examples that involve finding both the complementary function and the particular integral. The second section focuses on cases where the auxiliary equation has complex roots (a+/-bi or +/-bi). There are several examples to work through with your class and then an exercise with 18 questions for students to attempt. The exercise includes questions where students are required to consider the behaviour of the solution (bounded/unbounded oscillations) when x becomes large, as well as the function to which the solution approximates when x becomes large. Answers to both exercises are included.

Two versions (with/without frequency tables) of 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.

These worksheets together contain over 30 pages of questions on objects on slopes - ideal practice for students preparing to sit their Mechanics 1 module exams. Many of the questions have accompanying diagrams as an aid. Answers to all questions are provided.

This 15-page resource covers all the required knowledge and techniques for hypothesis testing in the A2 part of the new A level. It contains detailed notes, examples to work through with your class, and exercises of questions for students to attempt themselves (answers included). The topics covered are: The distribution of the sampling mean Hypothesis tests using sample means Hypothesis tests using correlation coefficients This projectable and printable resource will save you having to write out or create any notes/examples when teaching this topic. It also increases how much you can get through in lessons as students don’t have to copy notes/questions and can work directly onto spaces provided for solutions. You could also email/print some or all of this for students who have missed lessons or need additional notes/practice/revision. Also included is a 3-page assessment that covers the whole topic. Fully worked solutions 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 simple worksheet can be used to introduce/practise using number lines to represent inequalities. The worksheet starts with a reminder about the different inequality symbols and what they mean. There are then a few examples (to do with your students) of representing inequalities on number lines and writing down the inequalities represented by given diagrams. There is a short exercise with 16 of each type of question - answers are included.

This simple worksheet is a good way to introduce/review angles in parallel lines. It begins with diagrams of corresponding, alternate and allied (supplementary) angles, then there are some examples to work through with your class. On the second page there is a short exercise with similar problems for the class to do themselves. Answers to the exercise 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.

The first two resources are 2 different worksheets that can be used to get your class to learn the different types of graph they are expected to be familiar with at GCSE (linear, quadratic, cubic, reciprocal, exponential and square root) and to be able to recognise or sketch them. The first resource gets them to calculate points, plot them and join them up, while the second resource was designed to use Geogebra, but would suit any graphing software. In my experience students need a fair bit of time to complete these so this activity may well fill your entire lesson. The third resource is a worksheet to check their knowledge after completing one of the earlier activities (solutions included).

This worksheet will give your class a bit of practice of finding the reciprocal of different types of numbers. Each section starts with an explanation and/or examples, followed by a short exercise of questions for students to complete. The sections are: Reciprocal of an integer Reciprocal of a fraction of the form 1/n Reciprocal of a fraction of the form a/b (includes conversion of mixed fractions to improper) Reciprocal of a decimal (requires conversion of decimal to fraction) The answers to the questions in the exercises are included.

I created these resources to try to help my classes understand the process of factorising quadratic expressions of the form x^2+bx+c. The idea behind them is to first get the class to practise finding the 2 numbers that have a specified product and sum, then to start to apply this to factorisation with some scaffolded questions. The first resource gets them to focus on finding the 2 numbers that have a specified product and sum. The 4-page worksheet is broken into four sections - both numbers positive, both numbers negative, one positive and one negative, and then a mixed section. The second resource is a spreadsheet activity where your classes can further practise the skill of finding the 2 numbers that have a specified product and sum. The questions are randomly generated and they get instant feedback on their answers, either telling them it is correct or telling them which requirement (product/sum) has not been met, giving them a chance to try again. It keeps track of how many each student has answered correctly so you can make this into a competitive activity. The final 4-page resource starts to apply the skill of finding 2 numbers that have a specified product and sum to factorising quadratics. Each section starts with a set of questions asking for 2 numbers with a specified product and sum, then asks the student to complete/write down the related factorisation. Each section concludes with some factorising questions with no scaffolding. Section A is both numbers positive, section B is both numbers negative, section C is one number positive and one number negative. Sections D has almost 50 quadratic expressions to factorise - starting with a few of each type and then moving onto mixed questions. Answers to both the worksheets are provided.

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

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.

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 17-page resource covers all the required knowledge and techniques for hypothesis testing in the AS part of the new A level. It contains detailed notes, examples to work through with your class, and exercises of questions for students to attempt themselves (answers included). The topics covered are: 1. Sampling - different methods of sampling, biased and representative samples 2. Unbiased estimators - estimating the population mean and variance from a sample 3. Setting up a hypothesis test - null and alternative hypotheses 4. Making a conclusion - p-values, significance levels, 1-tail and 2-tail tests 5. Critical regions - finding the critical region for a hypothesis test 6. Significance levels and errors - probability of incorrectly rejecting null hypothesis, nominal vs actual significance level This projectable and printable resource will save you having to write out or create any notes/examples when teaching this topic. It also increases how much you can get through in lessons as students don't have to copy notes/questions and can work directly onto spaces provided for solutions. You could also email/print some or all of this for students who have missed lessons or need additional notes/practice/revision. The second resource is a set of multiple-choice questions that can be used a quick assessment or as part of a revision/refresher lesson. There is also a 6-page resource which contains lots of practice of problems that involve estimating population parameters from sample data (answers are included). Also included is a 2-page assessment that covers the whole topic. Fully worked solutions 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

These are two different tests I created to assess the whole of the statistics element of the new AS level. Each test contains 16/17 examination-style questions, based on exemplar questions, specimen papers, topic tests or textbook questions, The tests cover the following: Cumulative frequency diagrams Box and whisker diagrams Histograms Scatter diagrams and correlation Finding/estimating averages or measures of spread from grouped/ungrouped data or from summary statistics Probability (two-way tables, tree diagrams, venn diagrams, independent and mutually exclusive events) Probability density functions Binomial distribution Sampling methods Hypothesis testing Both tests come with fully-worked solutions. Having two different tests is useful if, like me, you have two different A level groups and want to set them different tests, or you could give out one as a practice test or revision and use the other for an actual test. 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

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.

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!