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It used to be quite easy to come up with examples to teach/practise trial and improvement, but using iteration is a very different beast and needs some carefully chosen and prepared questions. This worksheet contains a brief introduction/reminder about iterative formulae and their use in sequences, then has one example of using iteration to find a root of an equation, to work through as a class. The following exercise has 7 questions for students to attempt on their own. Answers are included.

These resources are designed for the new GCSE higher tier. The first worksheet introduces how Venn diagrams work and the notation used for the different sections of the diagram. The second worksheet is to practise using the notation correctly. The powerpoint can be used as a whole class activity to see if they have learned the notation correctly - it contains 11 multiple choice questions, for each they must choose which option is the correct notation for the given Venn diagram. The final 10-page worksheet is a set of exam-style questions. All answers are included.

A worksheet with 30 questions on equations involving algebraic fractions. In each question the equations must be rearranged to reach a quadratic equation. In later questions the quadratic equation must also be solved (using the quadratic formula). A good resource for a demanding higher tier GCSE topic. All answers provided.

The first worksheet introduces the topic of similar shapes and then has 7 pages of questions about scale factors and the lengths of sides of similar shapes (answers included). The second resource is intended to be worked through as a class, with each student/group completing it using different values but establishing the same rules about scale factors for areas and volumes of similar shapes. The third resource is a short worksheet on areas and volumes (answers included).

The worksheet contains 16 questions with linear simultaneous equations which are to be solved using the substitution method. This is ONE worksheet in two different versions (with and without the answers).

Once your group has learned the rules for simplifying, manipulating and rationalising these resources are great for revising all the knowledge and skills they need. The revision sheet has 4 pages of questions covering all the expected skills at GCSE level for this topic - fully worked solutions are included. The worksheet/homework contain examination-style questions. I use the first worksheet as examples in class and then the second sheet can be used as a homework. The test is 3 pages long and covers the basic skills up to some demanding examination-style questions. A mark scheme with worked answers is included.

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.

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.

These resources are for teaching how to answer the following type of question, common on new GCSE papers: Points A and B have coordinates (2,3) and (8,-6). Point N is on line AB so that AN:NB = 2:1. Find the coordinates of N. The powerpoint presentation starts with a refresher question about using ratio and then has a number of examples of the above question, with diagrams, to work through as a class. The printable version of the presentation can be given to students for them to complete as you go through the presentation. The worksheet has 14 questions for students to complete on their own, initially with the aid of a diagram and then without for later questions. Fully worked solutions are provided.

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).

I use this worksheet to introduce the idea of a frictional force opposing motion and how the size of the frictional force changes depending on the pulling/pushing forces and the maximum possible value of friction. The examples and diagrams make students think about the circumstances where maximum friction will be acting on an object, and to consider whether an object will be at rest, in limiting equilibrium, or will move. In total there are 40 questions for students to complete - all answers are 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 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.

There is a large variety of questions, some with diagrams as an aid but then many later questions are without diagrams. Assumes knowledge of F=ma, constant acceleration formulas, resolving forces, and friction. This worksheet is a really good test to see if your students are secure with all the required knowledge for these problems. All answers are included.

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.