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 !
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.
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.
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 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.
Please leave feedback, particularly if you like my work - thank you
This is a pdf consisting of 25 assorted questions on the applications of differentiation.
All the algebra can be reduced to polynomials only.
Topics covered include
Gradient of a curve
Increasing and deceasing functions
Tangents and Normals
Turning Points (including points of inflexion)
Simple maxima and minima problems
Curve sketching
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.
Answers are included - as always
Please leave feedback, particularly if you like my work - thank you
A massive bundle on all the methods of differentiation required for A level Mathematics.
We have covered:
Polynomials
Standard Differentials
Chain Rule
Products
Quotients
Implicit Differentiation
All sheets come with answers and there is also a bonus fact sheet showing the standard differentials and integrals.
Each sheet has around 30 - 40 questions including work for practice and some applications.
Retailing at £13.50 in total - this bundle is set @ £10 giving a saving of 26%
This PDF consists of around 25 questions based on implicit differentiation.
The first 18 are finding expressions for the first derivative in terms of x and y
and then I have included 6 or 7 on the applications of differentiation - using the implicit method.
I have included one or two where second derivatives are required - just for fun.
This is a very thorough worksheet which can be used when teaching the topic or as a revision sheet.
Answers are included
Please leave feedback, particularly if you like my work - thank you
This is a cracking worksheet with almost 30 questions on every aspect of differentiation using the quotient rule.
There is a large number of questions on using the quotient rule - some of these mix the chain rule or the product rule in too, and then there are a few involving the applications of differentiation.
This pdf is an excellent resource for revising the Quotient Rule.
Answers are included
Please leave feedback, particularly if you like my work - thank you
This is two very comprehensive worksheets covering all that you will need to teach and revise the differentiation of a product.
This PDFs consists of around 30 questions each on differentiation of a product - sometimes including the chain rule too.
Q1 - 10 (35 questions) covers differentiation of products using only polynomials, logs and exponentials - I used this teach the product rule.
Q1 is over twenty functions to differentiate.
Q2 - 9 cover the application of differentiation of products - gradient, tangents, normals and increasing functions
The second sheet I used for more able students or those wanting revision practice at a later stage - some of these get quite tricky.
Q11 another twenty function though I now include trigonometry and reciprocal trig functions.
Q12 - 19 much harder applications.
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 is a great set of questions on Standard Integrals - those that you should know by heart.
There are two pdfs here - the first is the formula sheet showing all standard differentials and integrals that all students should be very familiar with.
The second is over 30 questions covering all the standard integrals, including the usual applications of integration.
Answers are Included
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 an excellent PDF consisting of over 50 questions on changing decimals into fractions.
The first question is on terminating decimals
The second is on interpreting recurring notation - UK only
The third is converting recurring decimals into fractions
The final question pushes it up to grade 9 - good luck
Answers are provided.
This resource allows for explanations, classwork and homework
This is a huge document that I use for revision with Higher level / lower ability pupils aiming for grades 5 - 6.
There are 3 PDF files consisting of 60 questions of GCSE standard - one looks like and exam paper, one has all the spaces taken out and the third has answers on.
The booklets should take around 6 hours at exam pace and covers all the algebra required at that level.
I have found these to be tremendously successful and pupils have always appreciated them
This is a resource consisting of 60 GCSE style questions of a difficult nature for those students aiming for more than a grade 7
I have used this as one of six revision books both in school and with tuitions - it has proven very effective.
Questions cover everything I want to stress for these pupils an should take between 5 and 6 hours to complete at exam pace.
This is 3 PDFs - the second is a spacesaver document with the answers.
This document took an age to compile but it has been worth it - I recommend it to you.
This is 2 large worksheets in PDF format
I have provided over 20 questions on factorisation for grade 5 - 6 students in both exam style questions and worksheet questions
I have done the same with harder questions for grades 7+
The focus is on factorisation - ALL TYPES, but, as in exams, there is the odd similarly themed question thrown in to keep them on their toes.
Questions dot around - so I created it for revision purposes only !
over 40 detailed questions to help students revise for higher level GCSE - should take a couple of lessons.
Answers are included.
Everything you need to learn or teach Logarithms and Exponentials.
Basic understanding of Logs and powers
solving equations
the rules of logs
graphwork
inverse functions
straightening a curve using logs
Over 100 questions in total and answers are included.
This pdf has around 50 questions on graphing logarithms and exponentials.
Question 1 looks at the shape of the graphs, asymptotes and points of intersection with axes.
Question 2 looks at finding the inverse of a logarithmic or exponential function.
Question 3 looks at finding the equation of the graph given 2 points on the curve.
Question 4 looks at using logs to create a straight line graph.
This is a very thorough set of questions which covers all that you will need.
Answers are included.
Please leave feedback, particularly if you like my work - thank you
This is a thorough worksheet on all things logarithmic.
12 questions with 87 parts covering everything you will need to teach or learn logarithms.
I have a separate sheet on graphing logs - this one is from the introduction to solving all types of equations.
Answers are included.
Please leave feedback, particularly if you like my work - thank you
