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 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 worksheet covers the differentiation of composite functions, including trig functions, logs and exponentials. 35 questions - some very challenging so plenty to practice on - this is aimed at students at the start of year 13 and it includes some of the standard applications of differentiation. Answers are included Bonus As the reverse operation I also had a sheet of 20 Integration of composite functions - using linear functions for the composite part - you may find it useful. Please leave feedback, particularly if you like my work - thank you

This is a PDF consisting of over 60 questions on differentiation. Questions are miscellaneous involving Product, Quotients, and Compound Functions and even some implicit differentiation I originally wrote this worksheet as a revision exercise but eventually incorporated as a starter - 3 questions per lesson. Due to the difficulty of some of the questions I re-wrote the sheet and have put the two together as one making for a huge number of differentiation questions. some are quite demanding but, if students can do these then they can do anything. I have included the standard differentiation fact sheet as a bonus. Answers are included Please leave feedback, particularly if you like my work - thank you.

This is a great pdf designed for those students wanting to revise the differentiation of composite functions - or a “function of a function” The sheet consists of around 35 questions, the first 26 are simply a list of composite functions using the usual standard differentials, followed by the rest of the questions reinforcing the applications of differentiation. Answers are included as usual. Please leave feedback, particularly if you like my work - thank you

This PDF consists of 21 questions on Tangents and Normals and nothing else - I have avoided mixing this exercise with any other topic. The first 8 questions involve only polynomial differentiation and questions 9 - 20 require product rule, quotient rule and chain rule. Q21 even involves Implicit Differentiation ! I have included the free STANDARD DIFFERENTIALS sheet which always proves useful. It is a thorough worksheet and answers are included. Answers are included. Please leave feedback, particularly if you like my work - thank you.

This is an excellent set of questions aimed at revision of Standard differentials - that’s those that you should know by heart. Many are on formulae sheets and booklets but there is no substitute for practice. There are two pdf’s here - the first is the fact sheet that I give to all students covering all the standard integrals and differentials. The second is over 30 questions on standard differentiation - including some basic applications. Answers are included Please leave feedback, particularly if you like my work - thank you

This is 2 worksheets on graphing inequalities + a couple of starters that can be used as plenaries too. In total there are around 50 questions asked here - aimed at GCSE higher level, students are expected to be able work out the equation of a line and hence use inequalities to describe the area above or below that line. An excellent worksheet which students usually find a little demanding but interesting. Please leave feedback, particularly if you like my work - thank you.

This is a pdf of over 120 questions on equations with algebraic fractions. Set over 4 main types of questions this worksheet has everything that you need to teach this topic for higher level GCSE or equivalent. There are so many questions on here - plenty to use as examples, classwork and homework and revision. I used to use column one for my examples, classwork from column two and homework from column three etc. Answers are included. Please leave feedback, particularly if you like my work - thank you.

This is a set of questions which mixes the three forms of factorisation. Aimed at GCSE top level students - stretching the more able, this worksheet is not for your average Higher level students. I use this as a source of questions and occasionally a classwork for the best classes. The PDF consists of two questions each with 26 parts. Question 1 starts with a mixture of common factors, quadratics and the difference of two squares and then gets progressively harder - take out common factors followed by quadratics etc. Question 2 consists of 26 fractions where the numerator and the denominator will factorise by some method and then cancel down. It took a while to write this one so I hope it is of use to people. Answers are included

This is a PDF consisting of over 40 algebraic fractions to be added, subtracted, multiplied,divided and cancelled Aimed at higher level GCSE these are fractions only - no factorisation required. These questions covers all the algebraic fraction work that students will need for higher level GCSE. Questions include: cancelling, addition, subtraction, multiplication and division of algebraic fractions. Answers are included Please leave feedback, particularly if you like my work - thank you.

This worksheet covers everything you need to revise differential equations. On two pages, this pdf has over 30 questions on variable seperable differential equations, Q1 - has 16 questions which need to be rearranged before integrating, I have included trig, exponential, logs, partial fractions and standards here ! Q2 - just a few parts here where initial conditions are given so that the constant of integration will need to be calculated and simplified. Q3 - 10 are more like examination questions and have more than one part. Answers have been checked several times and numbers used have been manipulated to make interesting questions. Please leave feedback, particularly if you like my work - thank you. Answers are included.

This is a PDF consisting of 26 questions on quadratic inequalities questions get progressively harder and include: simple cases factorisable quadratics the difference of two squares a = -1 a >1 a challenge for any grade 7+ student. Answers are included

An excellent worksheet covering everything that you may need up to grade 8 on solving factorisable quadratics. The fist 26 questions are already factorised and simply require the final step to achieve the solutions. The second 26 questions need to be factorised first but are limited to the case of a=1. The third 26 questions need to be rearranged or expanded and then rearranged before factorisation. Answers are included and have been checked independently. Please leave feedback - particularly if you like my work - thank you.

I wrote this sheet to meet the needs of GCSE Foundation level students - keeping the formula quite basic. It is ideal for the introduction of rearrangements in earlier years too. The sheet begins with 5 questions which show ‘why’ we need to rearrange. This is followed by 26 questions involving one x and one y and numbers - using as many everyday functions in as many ways as i could. Finally a further 26 questions where we introduce a and b as constants too - this often muddies the waters for Foundation students and I always found I had insufficient questions to offer them. This is a thorough worksheet as a pdf of two pages covering everything you will need from introduction to GCSE foundation level. Answers are included too Please provide feedback so I can continue to offer a good service.

Aimed at KS3 and KS4 students this PDF consists of over 20 questions covering all that you will need on the Area of a circle. Students will need to be able to use the formula given the radius or the diameter and questions use a variety of units of measurement. Later questions cover quarters and halves of circles and compound areas using circles. These questions are ideal for introducing or revising the area of a circle. Answers are included. Please leave feedback, particularly if you like my work - thank you.

For students who need a bit of practice plotting quadratics I created a ‘write on’ worksheet, it covers all that you will need up to about grade 5/6. Aimed at GCSE it can be used at Key Stage 3 as well as 4. 5 questions with grids and scaled axes provided so plotting and curve sketching is made as straight forward as possible, followed by a couple of questions to check students accuracy. Answers are included. Please leave feedback, particularly if you like my work - thank you.

Aimed at KS4 this pdf contains 11 questions on finding the mean, mode and median from grouped frequency tables. I have covered both discrete and continuous data and, for the latter, I would expect the more able students to be able to use linear interpolation to estimate the median - so I have included questions on this, though they can be omitted if not needed. Answers are included. Please leave feedback, particularly if you like my work - thank you.

This started out as a quiz or lesson starter but I developed it on into something much more useful. There are two questions, each has 26 parts covering everything that a foundation level student needs to know about straight line graphs and their equations. Most students enjoy the short question which are not too demanding but I’ve tried to bring out a salient point with as many questions as I could. In total there are 52 questions which can be used as a starter, homework exercise or a revision exercise. ****Answers are included. I hope you find them useful.

This is a PDF over two pages consisting of 6 questions on stem and leaf diagrams. I have one question requiring the drawing of a diagram - the other five are in taking values from a given diagram. The work is primarily aimed at GCSE - not a basic introduction at Key Stage 3. I have included: decimal leaves as well as whole number back to back S&L diagrams Mean, Mode, Median and quartile are required in some questions. I did not see any need for any more than these six question. Answers are included. Please leave feedback, particularly if you like my work - thank you.