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Happymathematician's Shop

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(based on 79 reviews)

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 !

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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 !
Domain and Range - 24 Questions with Answers
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Domain and Range - 24 Questions with Answers

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This is a one page PDF of 24 questions on finding the range given any function and a domain. These questions start easy enough but I have included: Turning points Trigonometry Exponentials and Logarithms Reciprocals Modulus Modulus and Trigonometry It is a great set of questions I have used to discuss the shapes of graphs and the transformations that have been employed. This is a far more useful set of questions than it initially appears to be. Answers are included Please leave feedback, particularly if you like my work - thank you
The A - Z Of Set Theory For GCSE
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The A - Z Of Set Theory For GCSE

5 Resources
This bundle covers all that you will need to teach Set Theory. There are 4 PDFs in total covering each concept. Contents: Introducing Set Theory – Looking at the concept of sets and elements in sets. Covering Union, Intersection and Compliment but no Venn Diagrams. Venn Diagrams – This is aimed at reading information from a two set Venn Diagram. 3 Set Venn Diagrams – extends the work from Venn Diagrams into 3 sets and covers the hardest of questions for more able pupils. Reading Venn Diagrams – this covers the work needed for the GCSE exam, including conditional probability. Harder Set Questions Answers are included.
Introducing Set Theory - With Answers
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Introducing Set Theory - With Answers

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This PDF is one page and six questions in total. This is my introduction to sets at KS3 - no Venn diagrams, just looking at the basic idea of what a set is and how we combine them. Simply looking at the idea of sets, the elements in sets and the idea of Intersection, Union and compliment. Answers are provided. Please leave feedback, particularly if you like my work - thank you
Identify The Graph - 42 Graphs - With Answers!!!!
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Identify The Graph - 42 Graphs - With Answers!!!!

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Aimed at the higher level GCSE pupl, this is a phenomenal set of graphs in two formats: Students are shown 42 different graphs and have to work out the equation of the graph using roots and intercepts. I have used this Powerpoint for years and students always find it useful. Graphs include: Straight Lines Quadratics Cubics Power curves Square roots Reciprocals Trigonometrical and even one Quartic. You can, of course, rearrange the slides and take some of the more difficult questions out if you wish. It is an excellent exercise or starter. I have included the Powerpoint and the same 42 graphs on a PDF for tutors and revision. These took a tremendous amount of work and are absolutely priceless. Answers are included Please leave feedback, particularly if you like my work - thank you
Plotting Quadratic Curves - with answers
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Plotting Quadratic Curves - with answers

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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.
Reduction to Linear Equations Using Logs - With Answers
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Reduction to Linear Equations Using Logs - With Answers

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This pdf consists of 13 problems written in context each of the form ab^x or ax^b. Each question is slightly different so that student’s understanding is maximised. I have successfully used these questions for years for teaching, tutoring, and revision and find these twelve to be relevant and thorough. I’m sure there is something here for every Mathematician at ‘A’ level. Answers are included. Please leave feedback, particularly if you like my work - thank you
A - Z of Partial Fractions
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A - Z of Partial Fractions

4 Resources
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.
Modulus Algebra - over 30 questions with answers
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Modulus Algebra - over 30 questions with answers

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This is a pdf on solving equations and inequations with the modulus function. I have tried to cover every type of question that may be asked at ‘A’ level and have made the worksheet very extensive as a result. These can be tricky so the answers have bee checked thoroughly by more than one. Hope you find this as useful as I have over the years. Answers are included Please provide feedback, particularly if you like my work - thank you.
Double Angle Formulae - With answers
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Double Angle Formulae - With answers

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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.
Mean, Variance and Standard Deviation
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Mean, Variance and Standard Deviation

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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.
The A - Z of The Binomial Expansion / Series
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The A - Z of The Binomial Expansion / Series

2 Resources
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.
Finding 100% Given Any Percentage - with answers
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Finding 100% Given Any Percentage - with answers

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This worksheet provides 17 problems on finding 100% of a number given a smaller percentage. This is really aimed at year 7 but can be used for revision with Year 11 just as easily. Answers are Included Please leave feedback, particularly if you like my work - thank you.
Trigonometry Using Surds - With Answers
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Trigonometry Using Surds - With Answers

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I wrote this set of worksheets to challenge grade 8 and 9 students. The aim was to bridge the gap between Trigonometry and the Manipulation Of Surds. The sheets have been well received by students. There are 2 questions over two pages: Q1 Straightforward trigonometry in a right angled triangle with angles of 45°, 30° and 60° - meant to be done without the aid of a calculator. 12 different questions here. Q2 Simplifying expressions involving Sine, Cosine and Tangent of 0°, 30°, 45°, 60° and 90° 26 different questions here. Answers are included. I have also included a couple of bonus sheets which will help. Please leave feedback - particularly if you like them. - Thank You
Metric and Imperial Conversions - 20 questions with answers
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Metric and Imperial Conversions - 20 questions with answers

(1)
I wrote this as a homework sheet one year, aimed at foundation GCSE students of around grade 5 and less ability. I tried to cover as much as possible and to put the questions in context to make it more accessible. I hope you can find it to be of some use. Answers are included Please leave feedback, particularly if you like my work - thank you.
Algebraic Proof
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Algebraic Proof

(8)
A PDF of many of the type of problems that students need for higher level at GCSE, I originally designed this for Year 11 revision, but often used it when introducing the topic or giving homework. The sheet is comprehensive and will hopefully cover all that you need. I hope you find it useful. Please leave feedback, especially if you like my work - thank you.
Identities
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Identities

(3)
Identities are new to the GCSE 9 - 1 syllabus for all boards So I wrote these questions to help in any classroom. You may give them for classwork, homework or just to discuss in groups. Some of the questions are really difficult - discussion only I think. Answers are included.
Inequalities on the number line
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Inequalities on the number line

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This PDF is a set of 22 questions where inequalities have been given on a number line and students must interpret the diagram. It is a really useful set of questions for Key Stage 3 or foundation GCSE but I have also used it as a starter for higher level GCSE Good fun - i think. Please leave feedback, particularly if you like my work - thank you.
Factorisation
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Factorisation

(1)
This is a PDF with over 40 expressions starting from some simple cases - I aimed this at a GCSE revision class. Answers are included Please leave feedback, particularly if you like my work - thank you
Division Of Fractions
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Division Of Fractions

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This is a PDF consisting of 52 questions on division of fractions. This PDF is written as 2 questions each with 26 parts, question 1 uses fractions only while question 2 uses mixed numbers. With these worksheets I used questions in one column as examples, the second column was then used for class/homework leaving extra questions for either revision or extra practice if necessary. We always felt that too many questions was better than insufficient. This worksheet is part of the suite which is sold as Fractions for KS3 which includes the answers. Any comments are welcome through our facebook page.