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 !
Everything needed on simultaneous equations from the introduction to the Higher level topic of one linear and one non-linear equation.
There is a lot here covering several lessons work including homework.
All answers are inluded.
Please provide feedback, particularly if you like my work - thank you.
25 pairs of simultaneous equations I gave to my Year 11 for revision.
These are definitely classed as “harder” and are a variety of types (addition and subtractions).
Answers include some halves / quarters as well as negatives
Answers are included
Please provide 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
This is a PDF consisting of 14 questions typical of those found on GCSE Maths papers on the subject of Trial and Improvement.
I always had plenty of these questions ready so that I could use some as examples, and also set different questions to different pupils.
Only the last two questions are particularly tricky.
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.
This pdf covers substitution from a basic introduction up to GCSE foundation level.
Nothing is too difficult here, no fractions and the formulae used are very straight forward.
I wrote this for revision at foundation level but it has so many other uses - 45 Questions !!
Answers are included.
This PDF consists of six questions on reading bar charts.
Primarily its function was to enable me to discuss the different types of bar charts that they need to know about, and the type of questions that can come from bar charts.
I did not feel it necessary to ask several questions on each type as they are really straight forward.
I have covered compound and component bar charts as well as percentage bar charts.
Answers are included.
Please leave feedback, particularly if you like my work - thank you.
This pdf consists of 10 questions on Mean, Mode and Median of discrete with a small range - frequency tables are covered in a seperate worksheet.
The first question (with around 20 parts) is simply finding Mean, Mode and Median and I used this with year 7 and also used it to discuss RANGE.
The second set of questions I tended to do in Year 8 or 9 but can be used for revision with lower ability groups - these questions explore the pupils understanding of Mean.
Ideal for the introduction of Mean, Mode, Median and Range and also useful for a revision worksheet.
Answers are included.
Two large and comprehensive worksheets Velocity - Time Graphs - including curved graphs.
Velocity - Time Graphs 1 - 5 Velocity - Time graphs (including curves) Questions asking for reading the graph, estimating and calculating area under the graph and estimating the gradient of a curve.
Velocity - Time Graphs 2 - 8 Situations given and 8 Velocity Time Graphs - can they match them.
answers are provided
Please leave feedback, particularly if you like my work - thank you.
A great resource covering all that you will need in travel graphs
9 Distance time graphs to discuss and read information from - including a couple with curved graphs so pupils can estimate the gradient of a curve to find velocity. All the distance time graphs are in context and have realistic values (no more 14s bike rides !)
3 fitting the distance time graphs to the situation.
5 velocity time graphs including curves drawn large enough for you to be able teach area under a graph from
1 really good question on fitting 9 situations to their velocity time graphs.
This PDF consists of 10 full sized exam style questions on Cumulative Frequency Diagrams.
Aimed at higher level GCSE, these questions cover both drawing and reading cumulative frequency diagrams.
I have included a couple of questions involving curves but I have not asked for curves to drawn as I haven’t seen that at GCSE for about 15 years - instead I have provided the curves where necessary.
Answers are included.
Please leave feedback, particularly if you like my work - thank you.
This is a PDF consisting of 5 GCSE style questions which cover all that students need to understand about Box and Whisker diagrams.
The questions are on interpretation of the diagrams rather than drawing them so these worksheets were not intended as ‘write on’.
Answers are provided.
Please leave feedback, particularly if you like my work - thank you.
Aimed, primarily at Key Stage 4, this resource covers all you will need in the way of indices questions all the way up to GCSE higher level.
Set out as four questions with 26 parts to each - there are 104 questions here!
Q1) - 26 questions focusing only the rules of indices using only positive powers.
Q2) - 26 questions focusing on positive and fractional indices
Q3) - 26 questions focusing on zero and negative powers.
Q4) - 26 harder questions including algebraic approaches.
It is a very well presented topic over two pages - ideal for classwork / homework / revision.
Answers are included
Please leave feedback - particularly if you like my work.
This PDF consists of 104 questions on indices.
It covers the rules of indices, fractional, negative and zero powers.
It was written for KS4 pupils and includes some difficult questions for grade 8/9 pupils.
Ideal for revision too.
Answers are included
Please leave feedback, particularly if you like my work - thank you.
A short PDF consisting of 26 questions on the rules of Indices using Algebraic Expressions
Strictly for Higher level GCSE this has proven to be a tricky set of questions which stretches above grade 7
Answers are included
I wrote this for a foundation class that I had once - It covers everything that I wanted to emphasize at lower levels. I then found it very useful to use parts of it for Key stage 3 too
Question one is looking at the basic ideas of indices - I did this as a mental exercise and stressed the powers of zero and one.
Question two is a little more demanding and I often used this as a paired exercise and asked the students to check their answers on the calculators.
Question three looks at the powers of a half, a third and negative one - nothing harder.
Question four is all about the 3 rules of indices
In total there are nearly 80 questions so this could take a full lesson, or a homework - I hope you find it useful.
Homework sheets are included
Answers are included.
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.
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 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.
Answers are included.
Please leave feedback - particularly if you like my work, thank you.
This PDF is a comprehensive worksheet covering errors in measurement and the resulting calculations.
Aimed at GCSE higher level, this topic is a requirement for all boards and has been covered every year.
20+ questions in all with plenty of parts to many questions, I used it to talk through the subject, give questions to all abilities at higher level in class and still had plenty of questions left for homework.
Answers are included
Please give feedback, especially if you like my work - thank you