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 !
This is a set of 5 pdfs covering all that you will need to identify transformation.
All GCSE transformations are covered in detail.
Each transformation sheet has at least 10 transformations to identify (some have as many as 20)
I aimed this at GCSE revision but it can easily be adapted for KS3 or KS4 lesson.
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 all that you will need from the introduction of factors, multiples and primes all the way to GCSE level questions about the applications of HCF and LCM.
This worksheet has four pages - all PDFs on partial fractions for the new A level exams.
Each question has been carefully constructed and checked thoroughly to ensure they are correct.
As required by all boards in 2019+
Nothing higher than linear on the numerator
No quadratic factors on the denominator.
Sheet 1 has 22 questions on basic partial fractions with 2 or 3 factors in the denominator. This is followed by a couple of harder questions to stretch the more able.
Sheet 2 has 22 questions on partial fractions with repeated roots in the denominator.
Sheet 3 has 22 miscellaneous questions - a mixture of sheets 1 and 2
Sheet 4 has 3 applications of partial fractions - just to show how they have appeared in A level papers in the past.
almost 80 questions with answers to help you teach partial fractions to A level.
Please leave feedback, particularly if you like my work - thank you.
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 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
4 great worksheets covering all you need beyond basic areas:
Miscellaneous Areas - 20 questions covering all the basic areas - a test to ensure that students can remember which formula applies to which shape.
Compound Rectangles and Triangles - 15 questions covering compound areas using only rectangles and triangles
Compound Areas - 16 questions covering all that you will need on compound areas.
Area Problems - 13 questions covering areas in a realistic context.
Answer Sheet
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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.
These pdfs are a suite of 8 worksheets covering all the circle theorems and answers.
Aimed at KS4 and covering all the theorems thoroughly - there are around 100 questions here!
Included is a fact sheet which can be issued to students or displayed on the wall.
Circle Theorems 1 is 10 questions on ‘Angle at the Centre’ and ‘Angles in the same Segment’.
Circle Theorems 2 is 10 questions on ‘Angle in a semicircle’ and ‘Angles in a cyclic quadrilateral’.
Circle Theorems 3 is 6 questions on ‘Two tangents from a point’ and ‘Radius and Tangent’.
Circle Theorems 4 is 6 questions on ‘The Alternate Segment Theorem’.
Circle Theorems 5 is 20 mixed questions.
Circle theorems 6 is another 20 mixed questions - no answers for this one.
Circle Theorems - exam standard questions - without answers.
90 Extremely well presented diagrams for use as classwork / homework or revision.
Answers are included.
A comprehensive set of four worksheets covering all that you will need for GCSE on function notation.
This is everything needed for a full understanding - up to grade 8 at GCSE.
Simple functions
Composite functions
Inverse functions
Functions with two variables.
Answers.
Please leave feedback, particularly if you like my work - thank you.
This is all you will need for higher level GCSE pertaining to parts of a circle.
The excellent work on Sector Area and arc length combined with the very thorough worksheet on Segments of a circle.
Both worksheets have been well received by my department and I hope you like them too.
This is an extensive set of worksheets covering the calculation of angles from KS3 all the way up to GCSE grade 5/6
There are 6 worksheets and over 80 questions which will cover all your need.
Angles 1 15 questions covering angles at a point and angles on a straight line.
Angles 2 15 questions covering vertically opposite angles and angles in a triangle, including isosceles and equilateral triangles.
Angles 3 15 questions covering angles in parallel lines.
Angles 4 15 questions covering angles in a quadrilateral, including Trapezia and parallelograms.
Angles 5 16 questions combining all the theorems covered in the first 4 worksheets.
Angles 6 12 questions covering angles in a polygon.
Answers
Please leave feedback, particularly if you like my work - thank you.
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 revision booklet I created to help some of my weaker students with number work at higher GCSE level
There are 50 questions but I hit the questions that they always found difficult - surds, fractional and negative indices, reverse percentages etc.
The questions were based on those I have come across from my work as an examiner and are very similar in nature.
Answers are not included this time.
Hope you find it useful.
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 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
All 7 worksheets covering all that you will need to teach the theorem of Pythagoras to students at all levels.
All PDFs - there are 7 worksheets
Finding the Hypotenuse
Finding the Shorter side
Finding any side
2 Triangles together
Problems
3D Pythagoras
Pythagoras for higher level GCSE
All Answers are included
6 Comprehensive worksheets covering all you will need on the Sine and Cosine rules for GCSE.
Sine Rule 1 - use the Sine Rule to find the missing side - 10 Questions
Sine Rule 2 - use the Sine rule to find the missing angles (no ambiguous case) - 10 Questions
Cosine Rule 1 - Find the missing side - 10 Questions
Cosine Rule 2 - Find the missing angle - 10 Questions
Sine and Cosine Rules - miscellaneous questions where students have to decide which rule to use - 12 questions
Level 9 Cosine Rule Questions - Six more demanding questions for the more able student.
Answers
An added bonus
This set of worksheets consist of the sheets on A.P.'s and G.P’s and the harder questions which require some individual thought.
This is everything I have used to teach Series for the last 35 years and I think the only other questions required are practical applications and exam questions which textbooks cover in abundance.
Answers are included.