This worksheet consists of 10 full A level standard questions using Rsin(x + a) etc. Most of these questions are in context as the standard questions are freely available in books etc. This is a thorough worksheet covering the topic in as many ways as we could think of - some are quite creative but all are relevant. An ideal ‘end of topic’ sheet, homework, classwork or revision task. Answers are included.

This is a pair of PDF worksheets covering the introduction to the Normal distribution. The first sheet has approximately 30 questions, which boil down to using the calculator and standardization. Questions involve finding, p(z > a), p(x < a), finding the mean, the standard deviation and those questions that involve finding both. In total there are over 80 subquestions - this is a great resource for examples, homework and classwork - really too many questions. The second sheet is around 30 questions on practical applications of the Normal (modelling) - these boil down to the student needing to interpret worded questions into the basic format given in sheet 1 All answers are included. Please leave feedback, particularly if you like my work - thank you.

This worksheet is a pdf which covers all that you will need to teach the Binomial Theorem to year 12 or above. It is an ideal homework or classwork exercise and an excellent revision resource. Students need to know factorial notation and nCr notation too. Covering the expansion of (a + b)^n for integer n - there are 5 main questions with over 20 parts Topics covered include: Full expansion of (a + b)^n, Finding the co-efficient of one term in the expansion, Using the expansion to estimate calculations, Solving an algebraic equivalence. I have always found this sheet to be more than I need and students always gain a lot from it. Answers are included Please leave feedback, particularly if you like my work - thank you.

This pdf is a worksheet covers the expansion of (1 + ax)^n for all n. There are 5 main questions divided into 20 sub questions - ideal for classwork, homework or revision. Questions have been asked in a similar manner to examination questions and students are expected to transform the given expression into (1 + ax)^n from, an often more complex looking expression involving square roots and / or reciprocals. This work covers all that an ‘A’ level student is expected to know. Answers are included. Please leave feedback, particularly if you like my work - thank you.

This pdf covers everything needed to teach, practice or revise G.P.'s for ‘A’ level. 20 full questions (30+ questions including sub-questions in total) getting progressively harder over two pages. I always found G.P. questions difficult to write as the numbers get so big / small so quickly and become unmanageable so I wrote this one and it has done a great job over the years. Formulae needed are given on the sheet and answers are included. This is as good as they get before attempting full ‘A’ level questions. Answers are included Please leave feedback, particularly if you like my work - thank you.

This is a pdf of 7 problems with several subsections to them on practical problems which reduce to A.P’s or G.Ps These are difficult and were designed as challenging questions for my students who were potential grades C+ Answers are included Please leave feedback, particularly if you like my work - thank you.

This is a set of questions that I wrote to teach volume and / or surface area of cubes, cuboids and triangular prisms. The first few questions are essential for all students but the latter ones become difficult and I would set these as a challenge or maybe give each question to a group of children to discuss. I have included a simple table of densities as I would use the same set of questions when covering densities. - Which is heavier solid A made of Brass or solid B made of Steel etc. A simple worksheet but it will save you hours in preparation. Answers are provided as usual Please give feedback, particularly if you like my work - thank you

Over 30 Questions on the use of the discriminant and it’s graphical application - a topic which I always felt the textbooks have never done fully. Aimed at students learning the topic and with enough questions for students who wish to revise it. All answers are worked out and checked. Answers are included. Please leave feedback, particularly if you like my work - thank you.

This is a bonus sheet of around 20 questions that I felt was necessary for higher grades at A level. Each question needs a bit more thought than simply following the routines and applying formulae. This set of questions are tricky but really well thought out - I have avoided large text problems - you need to get these from past papers so kept them brief but searching. Included is the A.Ps and G.Ps fact sheet too. Answers are included. Please leave feedback, particularly if you like my work - thank you.

This pdf consists of 7 problems with Arithmetic and / or Geometric series in context. I have included an A.P and G.P fact sheet which may prove useful. Problems like this are not too common at ‘A’ level but they need to be taught so I always covered these 7 main points. A problem in context throws up interpretation problems which cannot occur with just algebra. I think this is an invaluable lesson. Answers are included.

I have taught Statistics from GCSE level all the way up to Undergraduate level and have files of notes and questions that I have accumulated over the years and recently was asked to post my notes on Sampling as many students don’t get the finer points and most textbooks don’t cover them either. So here they are - I don’t think that the telephone directory is relevant so much to todays methods but have left it in for completeness. Hope that you find them useful.

This PDF consists of around 50 questions over 2 pages on everything that you need on straight line graphs. Questions include: Finding the equation of a line, Points of intersection, Mid-points, Lengths of lines, Perpendicular and parallel, and problem solving. I aimed this as an end of topic set of questions or a revision sheet. Answers are included Please leave feedback, particularly if you like my work. - Thank You.

A simple fact-sheet that I give to all students while teaching co-ordinate geometry. Hope you find it useful.

This worksheet is a revision lesson on Integration with partial fractions, there are over 20 questions covering everything required on the recent syllabus. linear factors repeated factors top heavy fractions definite and indefinite integrals. I have given the same questions in two different formats: Integration Using Partial Fractions (1) has the fractions already split into partial fractions for those who wish to use it as integration using Logs, Integration Using Partial Fractions (2) requires the student to split into partial fractions first. (1) and (2) have the same questions in a different format - and therefore the same answers. Please leave feedback, particularly If you like my work - thank you Answers are included.

This is a factsheet which puts all the probability laws on one page for you - I find these factsheets useful and use them often. I also sell a set of questions to go with this factsheet which I highly recommend to you. I hope you find this useful.

I always thought this was a topic that textbooks cover poorly and so I wrote this set of questions a few years ago and have used them regularly ever since. Covering all the laws, including Addition law, Multiplication law, exhaustive and independent events and conditional probability too - but only the algebraic approach. This is a topic that many students find difficult and so I have included a factsheet too (also available free) I hope you find it as useful as I do. Answers are included Please leave feedback, particularly if you like my work - thank you.

One of the first topics to teach at ‘A’ level. I introduce the idea of asymptotes, double/triple roots and inflexion through this worksheet. 26 Questions - too many ! I use some for examples, some for classwork, some for homework and some are always left over for either revision or extra work for remedial study. Hope you find it useful - please leave feedback, particularly if you like my work - thank you. Answers are included.

This is a useful set of questions that every ‘A’ level student should be aware of. Although they can all be integrated by substitution, every student should be aware that f’(x)/f(x) integrates to give ln(fx) - and I always taught this as a sideline to the method of substitution - this crops up on exam papers every year without fail and students should be able to recognise it immediately. I have written 20 questions to practice this and all have answers - of the form that I would expect my students to give. I hope you find it useful. Please give feedback. particularly if you like my work - thank you. Answers are provided.

18 Full GCSE standard questions to test Higher level GCSE students on the distance, speed and time relationship. this is a very thorough worksheet with enough questions to fully occupy a lesson an a homework task. All questions are varied but accurate and realistic - I had great fun writing this one and enjoy teaching this lesson as a result - plenty to discuss. Answers are included Please leave feedback, particularly if you like my work - thank you