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 !
These PDFs cover everything that you could need on the factorisation of Quadratics.
First sheet has almost 100 expressions to be factorised - plenty for examples, classwork and homework. This sheet has been divided into 5 clearly different sections allowing for differentiation.
The second sheet starts with some factorisation and then goes into applications of factorisation - plenty to talk about here and give the more able a bit of a challenge.
Answers are included.
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.
This is a PDF consisting of over 20 questions on the 3 Kinematic equations required for GCSE.
The questions are suitable for Higher and Foundation level and emphasise the interpretation of the terms rather than focussing on complex questions.
This double page has everything that you need for GCSE Maths exams and can be used as a classroom exercise or homework.
Answers are included
I would appreciate feedback as it always helps me to improve and provide the worksheets that you need
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.
This is a massive pdf covering everything you will require on simultaneous equations.
Simultaneous Equationsconsists of over 80 pairs of simultaneous equations to be solved, starting with the most basic and increasing in difficulty throughout.
Q1 - starts with two equations that can simply be subtracted - 10 questions
then 16 questions where only one equation needs to be multiplied up - all answers in question one are whole numbers and none of them are negative.
Q2 - both equations need to be multiplied before subtracting, answers are all whole numbers and the first negative answers start to appear around part o)
Q3 - a mixture of questions using different letters, answers can be positive or negative and several have fractional answers though only very simple fractions/decimals are used.
Simultaneous Problems 31 questions covering everything needed on worded problems.
Answers are included
Please leave feedback, particularly if you like my work - thank you
2 PDFs with answers covering all that you will need on substituition.
Aimed at higher level GCSE there over 50 questions in all.
Basic Substitution
This worksheet provides expressions and common formulae that pupils should be able to substitute into - mostly without a calculator. (40+ questions)
Worded Problems
The second worksheet gives 11 questions of formula in context. - Some of these questions involve standard form.
Answers are included
Please provide feedback, especially if you like my work - thank you.
A useful PDF aimed at revising Integration By Parts
In total there are 33 questions (with answers) including both definite and indefinite integrals.
My A Level students have found these revision sheets to be very useful.
Answers are provided.
Please leave feedback, particularly if you like my work - thank you.
This PDF of 6 questions over 2 pages is all that is needed to teach Set Theory with 3 sets.
Aimed more able students at GCSE it explores further the concept of complimentary, union and intersection using 3 sets.
The final question is that nasty set question with union, intersection and compliment combined - it will test the most able student.
Answers are included.
Please leave feedback, particularly if you like my work - thank you.
This is a PDF consisting of 52 questions on integration.
I have used these extensively to give pupils practice in integration techniques - there are no application questions here as the best place to get those is recent exam papers - this is aimed at purely practicing integration techniques.
I have included a summary sheet to help with learning the techniques and have always found that students appreciated this.
Answers are included.
Please leave feedback - particularly if you like my work, thank you.
This is a single sheet consisting of 20 questions in 7 main types on the double angle formulae.
This is an excellent sheet for a classwork, homework or revision sheet and covers everything that a student could need to fully practice and understand this area of Trigonometry.
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.
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 set of 19 questions covering all that you will need to teach / learn connected particles at A level
Part 1 contains questions which do not involve friction while Part 2 includes friction and the coefficient of friction.
Each question is unique and brings something new and original to the topic
A short homework sheet that I wrote to explain compound measures in other ways than just speed.
Only four questions on:
population density
density and
pressure
hope you find it useful.
Answers are included
Please leave feedback, particularly if you like my work - thank you.
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 great PDF on one sheet consisting of 12 detailed questions.
The questions involve:
Distance between two points,
Mid-points,
Perpendicular lines.
I have avoided using the equation of a circle - that is for a later worksheet.
It is a very thorough worksheet and ideal for end of topic recap or revision.
Answers are included
Please leave feedback, particularly if you like my work - thank you.
This is a huge set of worksheets - over 100 different questions on integration by substitution - including:
definite integrals
indefinite integrals
integrals that require rearrangements
logs and trigonometry.
Miscellaneous - good for tests
Enough questions to give for examples, practice and homework.
Answers are included and have been thoroughly checked.
Please leave feedback, particularly if you like my work - thank you
Aimed at the more able GCSE students trying to achieve grade 7+
This is a set of questions which covers all that you will need to achieve success with vector Journeys.
VECTORS 3 - Journeys starting with the simplest of cases - 5 Diagrams and 35 Questions
VECTORS 4 - More complex journeys - 8 full GCSE standard Questions
VECTORS 5 - Most complex journeys up to level 9 at GCSE including co-linearity 10 Questions
Answers are provided
Please leave feedback, particularly if you like my work - thank you.