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.

I have used this resource a few times with my classes to cover the whole topic of groups. This 24-page worksheet covers all the required knowledge and skills for FP3. Each section starts with introductory notes or examples, followed by an exercise for students to attempt. The sections are: 1. Sets, binary operations, closed/commutative/closed operations, identity elements and inverses. 2. Groups - definition of a group, order of a group, group tables 3. Multiplicative groups and cancellation laws 4. Groups using modular arithmetic 5.Symmetries of shapes 6. The order of an element 7. Cyclic groups and generators 8. Subgroups 9. Lagrange's theorem 10. Isomorphic groups The completed worksheet with all notes, examples and exercises completed (with fully-worked solutions) is also included.

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.

This 26-page resource covers all the required knowledge and techniques for binomial expansions with positive integer powers, as required for the new AS level. In every 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 types of questions included in the examples and exercises are: 1.Expand (ax+b)^n or (a+bx)^n 2.Find first 3 terms, in ascending powers of x, of the expansion of (a+bx)^n 3.Find the coefficient of x^k in the expansion of (a+bx)^n 4.Given the coefficient of x^k in the expansion of (a+bx)^n, find the value of a (or b). 5.Evaluating or simplifying nCr without a calculator 6.Given that (1+ax)^n = … find the value of n 7.Expand (ax+b)^n, hence expand (cx+d)(ax+b)^n 8.Use the first 3 terms of an expansion of (a+bx)^n to estimate k^n In all there are over 100 questions in the various exercises for your students to work through. 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. Also included is a 16-question assessment that can be used as a homework or a test. Fully worked solutions 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

This 11-page resource covers the different techniques for using integration to find the size of areas, as required for the new A level. In every 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 types of questions included in the examples and exercises are: 1.Area between a curve and the x-axis where some/all of the curve is below the x-axis 2.Area enclosed between two graphs 3.Area between a curve and the y-axis 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

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

This worksheet can be used to introduce the technique required to use trigonometry to find sides/angles in isosceles triangles. There are 2 example problems to work through as a class then an exercise with 10 questions. The first 6 questions have diagrams provided as an aid, the last 4 questions are without diagrams. Answers are provided.

I use this worksheet to introduce momentum and impulse, and to get students to practise working out the change in momentum of an object using mv-mu. After the introductory explanation there are 9 questions for student to attempt - all answers are included. Other Mechanics 1 resources are available - please go to my shop and search for them.

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.

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 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.

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.

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.