# Happymathematician's Shop

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(based on 68 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 !

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#### Solving Linear Equations With Brackets - 80 questions + Answers

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This is a large PDF consisting of almost 80 questions on linear equations with brackets. I aimed this at all classes, at KS3 only doing the first half of each question and at KS4 only doing one or two columns. Questions get progressively harder. Question 1 - 26 questions of the form a(bx + c) = d Question 2 - 26 questions of the form a(bx + c) = d(ex + f) Question 3 - 26 questions of the form a(bx + c) + d(ex + f) = g **** Answers are included **** Please give feedback, especially if you like my work - thank you.

#### KS3 Column Vectors - with answers

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2 extensive worksheets and a game covering just about everything needed for KS3 column vectors. VECTORS 1 - Express 12 vectors given on the diagram as a column vectors, also adding, subtracting and multiplying by a scalar (16 questions). VECTORS 2 - moving around a grid by vectors (can be done as column vectors or graphically) - 11 Questions The Vector Race Game - A simple game which will have even the most demotivated practicing plotting column vectors I have tried to space the questions so these can be given as worksheets or displayed through the computer for a class activity. Answers are included. Please leave feedback, particularly if you like my work - thank you.

#### Venn diagrams - Worksheet with answers

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This is a PDF of 2 pages with 10 questions which cover both reading from a Venn diagram and drawing Venn diagrams but limited to just two sets. I have kept it relevant and interesting so that pupils will relate to it more. Answers are included. Please leave feedback, particularly if you like my work - thank you

#### 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.

#### Partial Fractions with Repeated Factors

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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. This page has 22 questions on partial fractions with repeated roots in the denominator. **answers are included ** Please leave feedback, particularly if you like my work - thank you.

#### Mathematical Proof for 'A' Level - with Answers

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This is a colossal worksheet consisting of 40 questions on the four types of Mathematical proof required for ‘A’ level - please note that there is no Induction in these questions. This is a pdf in 2 parts Q1 - students are told which type of proof to use Q2 - students name the type of proof and then use it. There are approximately 10 questions on: Direct proof Contradiction Counter-example Exhaustion Partial answers are included - more like massive hints and methods really Please leave feedback, particularly if you like my work - thank you

#### 3 Set Venn Diagrams - With Answers

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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.

#### Prime Number Quiz

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This is a PDF of 20 Questions which probes students understanding of prime numbers - it’s a bit tricky in places but good fun !! Ideal for a starter, a quiz or even an end of topic test. Contents Prime Number Quiz 20 questions covering all that you will need for Year 7. Answer Sheet Your feedback is greatly appreciated - particularly if you enjoyed my work - thank you.

#### Volume & surface Area Of Cuboids

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This was just a quicky that someone has asked me for via my facebook page. It is a PDF aimed at introducing volume and surface area into year 7. 5 questions that will be useful for either a class or homework. Enjoy.

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This pdf consists of 6 questions on reading or interpreting Pie Charts. I think all the questions are relevant to pupils and are more interesting than – “What is your favourite colour?” There is enough work for a full lesson allowing the teacher to discuss one or two questions before pupils attempt the remaining questions. Answers are included. Please leave feedback, particularly if you like my work - thank you.

#### Velocity - Time Graphs

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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.

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Another topic popular on the new 9 - 1 GCSE papers is the application of algebra to problem solving. Here I present 14 practical questions which will result in the formation of quadratic equations. Answers are provided. Please leave feedback, particularly if you like my work - thank you.

#### Directed Numbers - 88 Questions with answers

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A great revision sheet for practicing the four rules with directed numbers. In total there are 88 questions on +, -, x, and / of directed numbers. great for classwork / homework or revision aimed at Key Stage 3 primarily it can be used for any students - anywhere. Answers are included Please leave feedback - particularly if you like my work - thank you.

#### Integration Revision Questions

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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.

#### 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.

#### Integration Using Partial Fractions - Over 20 Questions With Answers

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This worksheet is a revision lesson on Integration with partial fractions, there are over 20 questions covering everything required on the recent syllabus. linear factors repeated factors top heavy fractions definite and indefinite integrals. I have given the same questions in two different formats: Integration Using Partial Fractions (1) has the fractions already split into partial fractions for those who wish to use it as integration using Logs, Integration Using Partial Fractions (2) requires the student to split into partial fractions first. (1) and (2) have the same questions in a different format - and therefore the same answers. Please leave feedback, particularly If you like my work - thank you Answers are included.

#### Equation of a circle for 'A' Level - with answers.

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This is a pdf on the equation of a circle - for ‘A’ level Questions include finding the equation using as many circle theorems as possible - Angle in a semicircle, Radius and tangent, Chord bisector, Distance from a point, Circumcircles, etc It is a very thorough worksheet which will take several hours to teach and complete - in total there are about 40 questions to be answered. Answers are included. Please leave feedback, particularly if you like my work - thank you.

#### Drawing Plans & Elevations

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10 block diagrams to draw plan and elevations of: First document shows the diagrams in colour and large scale so they can be projected to the class. Second document shows the same 10 diagrams in black and white and on one page for use as a handout.

#### Sharing in a given ratio - 40 questions + answers

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This PDF consists of over 40 questions on all aspects of sharing in a given ratio. This includes all three types of problems related to this subject. They are quite detailed questions and are therefor better for more able KS3 or any KS4 pupils. I aimed this at Y10 - groups that had covered the basics of ratios but needed to see more complex examples of such questions. I also used it as a revision sheet on ratios. Answers are included. Please give feedback, particularly if you like my work - thank you.

#### Pythagoras Theorem For GCSE - 4 Worksheets with answers

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4 PDFs aimed at the more able student and Higher Level GCSE student, This set of worksheets assumes that pupils are able to do simple Pythagoras problems and need more of a challenge. Two triangles are those questions where 2 triangles are connected and information is transferred from one to the other. Problems - Worded questions on Pythagoras including every application that has appeared in a GCSE paper. Into 3D Typical questions on Pythagoras in cubes and pyramids etc. GCSE Typical GCSE questions - for Higher Level Answers are included Please leave feedback, particularly if you like my work - thank you.