I am now a retired teacher having taught for over 40 years in the UK at secondary level.
I wanted to share my love of Mathematics and teaching by providing a good set of resources which will more than cover all your needs for as many topics as I can and at good value for money.
I am trying to cover many topics from foundation level GCSE up to grade 9 at higher level in a way that is interesting and relevant.
I hope you like my style !
I am now a retired teacher having taught for over 40 years in the UK at secondary level.
I wanted to share my love of Mathematics and teaching by providing a good set of resources which will more than cover all your needs for as many topics as I can and at good value for money.
I am trying to cover many topics from foundation level GCSE up to grade 9 at higher level in a way that is interesting and relevant.
I hope you like my style !
Fantastic value
Around 50 questions on A.P.s and G.P.s for every ‘A’ level student - good for classwork, homework or revision.
Included is every type of question that a student will need to ensure they understand series.
A very thorough pair of worksheets with answers.
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 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 pdf covers everything needed to teach, practice or revise A.P.'s for ‘A’ level.
20 full questions (30+ questions including sub-questions in total) getting progressively harder over two pages.
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 pdf consists of over 20 questions on proof by induction.
I have always found insufficient questions on this topic in any text so have collected these over the years.
If they don’t get it after wading through this set then there is no hope !!!
Obviously answers cannot be included this time.
Please leave feedback, particularly if you like my work - thank you
This bundle combines the two worksheets produced on the Binomial theorem for integer n and the Binomial expansion for any n.
In all there are over 50 questions which can be used for classwork, homework or revision
Both sheets are very comprehensive and together cover everything that any ‘A’ level student would need.
This is a bargain at this price and answers are included.
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 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 is a relatively short pdf on the introduction of Sec, Cot and Cosec
40 questions in total - enough for explanation, examples and homework on finding the value of sec(45) or cot(200) etc and working backwards as well as solving simple equations such as sec(x) = 2.
Students need to be working in degrees and radians in this set of questions which also serve as a great revision for year 12 trigonometry.
Answers are included.
Please leave feedback, particularly if you like my work - thank you
This is a colossal worksheet consisting of 40 questions on the four types of Mathematical proof required for ‘A’ level - please note that there is no Induction in these questions.
This is a pdf in 2 parts
Q1 - students are told which type of proof to use
Q2 - students name the type of proof and then use it.
There are approximately 10 questions on:
Direct proof
Contradiction
Counter-example
Exhaustion
Partial answers are included - more like massive hints and methods really
Please leave feedback, particularly if you like my work - thank you
These two sheets together cover median, quartiles, percentiles, IQR and semi - IQR as well as outliers but not skewness.
In total there is about 45 questions covering everything that any A/AS student will need to revise or work through this topic.
Many of the questions are in context and answers are included.
The pdf consists of 7 questions on finding the median and quartiles of both grouped and continous data.
For continous data we should be using cumulative frequency graphs and the questions are suitable for such, but I originally used the sheet to teach linear interpolation so most of the questions are based on grouped discrete data.
Answers are included.
This is a set of questions covering all students need to know on Medians, Percentiles, Quartiles and Interquartile range for discrete data.
I have often included questions on outliers and many of the questions include frequency tables but NOT grouped frequency or continuous data- these are handled on a second sheet.
In total this is a pdf of 9 full questions and approximately 30 sub questions with data, stem and leaf diagrams and box & whisker diagrams too.
Answers are included
Please leave feedback, particularly if you like my work, thank you.
Also known as Coding or Scaling this is a worksheet on the Linear Transformation Of Data. In total this pdf covers all that any A level student will need on this subject.
In 7 questions making a total of 20 ‘subquestions’ everything is covered and asked in exam friendly manner
Worksheets are here for MEI students as well as the other boards - MEI do it differently.
Answers are included as usual.
Please leave feedback, particularly if you like my work - thank you.
Just a quickie which I think most year 12 students struggle with,
This is a sheet I would use to discuss the factorial notation and the Combinations notation.
It is useful for a one lesson filler.
Hope you find a use for it.
Please leave feedback, particularly if you like my work - thank you
This is a great bundle of 3 sheets with several questions on the calculation and interpretation of mean, variance and standard deviation.
Sheet 1 - raw data only
Sheet 2 - frequency tables
Sheet 3 - grouped frequency tables
Answer sheet included
Formula sheet included
I have covered all that students need for A level on the calculation and interpretation of Mean, Variance and Standard Deviation so these make for great revision sheets or for use in the classroom as a class activity.
Please note that MEI use a different formula for Variance and so there are two sets of answer and formula sheets.
Answers are included
Please leave feedback, particularly if you like my work - thank you.
This is the first of 3 sets of questions on Summary Statistics.
Sheet 1 - raw data
Sheet 2 - frequency tables
Sheet 3 - grouped frequency tables
Questions are asked in a helpful manner, though essentially they are all “Find Mean, Variance and Standard Deviation in context” and then interpret your answer.
Answers and a formula sheet are included only in the full set of sheets which we offer at a good price.
Please note that the formula for standard deviation differs for MEI so please ensure that you use the correct sheet for your board.
This pdf was originally written to discuss with students ‘which method of integration should we use?’ as I found many students found it difficult to tell when to use substitution and when to use parts.
I’ve added answers so that it can be used as a revision sheet too - some of these questions are a bit tricky but nothing a top grade ‘A’ level student shouldn’t be able to handle.
I find that many students find it challenging but it is very thorough.
All questions are solved using Substitution or Parts.
Answers are included
Please leave feedback, particularly if you like my work - thank you.
Applications of Integration 1
This is a very thorough worksheet covering the applications of integration for Year 12.
It is a pdf consisting of 10 questions in which all the equations reduce to powers of x.
Applications covered are:
Integration as the reverse of differentiation,
Area between a graph and the x axis,
Area between a graph and the y axis,
Area between a graph and a given line,
Area between two curves.
I devised this as a revision sheet for Year 12 - it is an excellent set of questions which covers everything that you need to know at this stage.
Applications 2
This pdf consists of 10 questions involving integration of higher functions - not polynomials.
Students are required to integrate by substitution, parts, trigonometry, exponentials and logarithms.
Applications are limited as the integration is the skill being tested, but applications include:
Integration as the reverse of differentiation,
Solving simple differential equations,
Areas.
I used to give this sheet as a revision sheet at the end of Integration in Y13 as each question requires a different method of integration as well as an application.
It proved to be a great sheet to talk through as well as practicing methods and techniques.
Answers are included as usual.
This is a large number of questions covering all the applications of differentiation that any student will need for A level.
**Applications 1 **
This is a pdf consisting of 25 assorted questions on the applications of differentiation.
All the algebra can be reduced to polynomials only.
These problems range in difficulty and some are quite challenging - definitely good for revision or, as I have used it, to finish off differentiation at the end of year 12.
Applications 2
This PDF consists of over 20 questions on the applications of differentiation
These questions are aimed at revision in year 13.
Questions assume knowledge of all the basic differentials along with product / quotient and chain rules.
Applications include:
Gradient of a curve
Tangents and normals
Turning points
Maxima and minima problems
Rates of change
Related rates of change.
Answers are included as usual.
