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.

It can be difficult to understand the forces acting when one object is placed on top of another. I have used this worksheet to help my students understand this type of problem and give them the opportunity to practise questions ranging from basic up to examination standard. There are 10 questions in total, worked solutions 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.

The presentation introduces the idea of drawing a graph to represent how quickly a container fills with liquid over time. The print-version can be given to pupils to make notes on and complete as the presentation is shown. The worksheet is designed to test their understanding after completing the presentation (answers are included).

This worksheet is a good way to give your class plenty of practice calculating and using the vector product. The first 2 questions just involve finding the vector product of two given vectors, both in column vector and in I,j,k form. The remaining questions introduce how the vector product can be used to answer particular questions such as converting vector eqn of plane to normal eqn, or finding the area of triangle in 3 dimensions. Fully worked solutions are provided to the questions.

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 powerpoint can be used as a whole class activity to practise spotting which type of transformation has occurred and what information must be given to fully describe it. The printable worksheets make it easier to teach this topic as the questions and solutions can just be projected onto a board or screen to work through or check as a class. This is suitable for the new GCSE spec (includes invariant points). Solutions included.

The presentation shows examples with graphs to help students realise that a quadratic equation can have 0,1 or 2 (real) solutions. The worksheet has an introductory section intended to be worked through as a class to establish the rules about the value of the discriminant and the number of (real) roots. This is followed by 10 questions for students to practise applying what they have learned. Answers are provided.

The first resource contains examples intended to be worked through as a class to practice the method. The other resources are 2 worksheets each with 11 questions for students to complete on their own (answers included).

This worksheet can be used to teach/practise the required knowledge and skills expected at A level for the intersections of graphs. The introduction discusses the different methods that can be used but then focuses on the method of substitution. There are then a few examples to illustrate the method, including questions about the geometrical interpretation of the answers. The final section shows how the discriminant can be used to determine/show the number of points of intersection, with examples to illustrate the method. Fully worked solutions to all examples are provided.

This 10-page resource covers all the required knowledge and techniques for related rates of change, as required for the new A level. 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). It begins with an introductory example which shows related quantities can change at different rates and how the chain rule can be used to connect them. There is then a summary of the method and a page of example questions to complete with your class. The exercise that follows contains over 40 questions for your students to attempt. 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'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.

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.

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.

This powerpoint and accompanying worksheet is designed to help students learn which method(s) they should consider using when asked to solve a quadratic equation. There are 11 examples for students to consider, the answers are given on the presentation. This activity works best if you can give each student (or group) a set of A,B,C cards to hold up for each example so you see if they are learning how to correctly choose the most appropriate method. Note that this is designed to be appropriate for GCSE so completing the square is not considered as a suitable method for solving when the coefficient of x^2 is greater than 1.

Two worksheets to practise solving quadratic equations using completing the square. The first worksheet contains the answers, so is intended to be used as practice in the classroom, while the second worksheet does not include the answers, intended as a homework. Note that the solutions must be given in simplified surd form, so students need to be able to simplify surds. The coefficient of x^2 is always 1 throughout these worksheets.

This 12-page worksheet contains lots of questions for students to practise finding particular points on quadratic graphs such as intersection points with axes, a point with a given x or y coordinate, or the vertex or line of symmetry. Initially a sketch of the graph is provided as an aid, but in later questions no graph is given. All answers are provided at the back of the worksheet. It is expected that students are able to solve quadratic equations before attempting this worksheet.

This worksheet starts with a refresher of the 2 methods to find the equation of a straight line if we know its gradient and a point it passes through. The next section is on finding tangents. There is an introduction with an explanation of the method, a couple of examples to work through as a class, and then 15 questions for students to do themselves. The next section is on finding normals. Again, there is an introduction with an explanation of the method, a couple of examples to work through as a class, and then 10 questions for students to do themselves. All answers to the students questions are included. Note that this resource was designed specifically for the Level 2 Further Maths qualification, so only covers differentiating functions with positive integer powers such as y=5x^3-4x+2, but can still be used an introduction to the general method of finding tangents and normals to a curve.

The test includes 21 questions with 4 possible answers to choose from. A very quick way of assessing the knowledge of your class and the accuracy of their work, in a style of question now common on the new GCSE paper. Answers included.

These are two 2-sided worksheets that cover all calculations with fractions. The adding/subtracting worksheet goes step-by-step through the process of making the denominators equal prior to the calculation. The first exercise (12 questions) involves adding/subtracting fractions and mixed numbers where the denominators match, the second exercise (34 questions) involves adding/subtracting fractions and mixed numbers where the denominators do not match. The multiplying/dividing worksheet begins with a reminder of the method, together with a few examples to work through as a group. There are then two exercises, each with 20 questions, first to practise multiplying and then to practise dividing fractions and mixed numbers. Fully worked solutions to all questions are provided.