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 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.

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.

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.

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.

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 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.

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.

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.

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.

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 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.

My year 7 class struggled to learn the rules for doing calculations that involved negative numbers so I created these resources to try to help them understand the rules and to give them lots of practice. The first resource focuses on addition and subtraction, with explanations of how the calculations can be understood with reference to a number line, and then exercises with lots of practice (over 150 questions). The second resource focuses on multiplication and division, with a page dedicated to them just practising determining whether the answer of a calculation should be positive or negative, and then an exercise with lots of practice calculations (over 80 questions). The third resource contains mixed questions with all 4 operations (over 60 questions). Answers to all the questions are included. The final resource is a spreadsheet where pupils can practise calculations and get instant feedback on their accuracy. Note that the spreadsheet contains macros so when opening the file users may need to click on “Enable editing” or “Enable macros” for it to function correctly.

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

In each question the students are given two different shapes and told the relationship between their perimeters/area/volumes. Based on this information they must either work out a length of one of the shapes or express a length of one shape in terms of a length of the other. These can be demanding questions and, in my experience, students struggle with these questions unless they've had a fair bit of practice. This worksheet contains 6 pages of questions and all answers are provided.

A worksheet with 6 pages of questions of increasing difficulty on the topic of area and perimeter just using rectangles, triangles, compound shapes and trapezia. It includes questions where the area of perimeter is given and an unknown length must be found. All answers are provided.

An 8-page test covering all aspects of the topic. Designed for the new GCSE spec so includes invariant points. Solutions included.