# Happymathematician's Shop

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 !

#### The A - Z Of Set Theory For GCSE

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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. Answers are included.

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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.

#### Ratio Scales

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This PDF consists of 30 questions covering ratios as scales for maps and models. 10 Questions on calculating the Real distance given the scale and the map distance. 10 Questions on calculating the Map distance given the real distance and the scale. 10 Questions on finding the scale, given the Map distance and the real distance. I originally wrote this for Key stage 3 pupils but have extended it for Key Stage 4. All distance are accurate - making many of the questions really interesting. Answers are included

#### Prime Number Quiz

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This is a PDF of 20 Questions which probes students understanding of prime numbers. 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

#### Area Of Irregular Shapes and Rectangles

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This is a couple of worksheets that were created for the introduction of area at KS3 and developing into the formula for the rectangle. Squares are covered as is perimeter Area Of Irregular Shapes provides you with four larger than average shapes on a cm square grid to find the area of - I usually ask the class which shape has the largest area and then everyone finds the area of at least two shapes. Area Of Rectangles finding the area of rectangles on a cm square grid - leading to the formula A = Length x Width. Area Of Rectangles 2 12 standard questions on the area and perimeter of rectangles and squares.

#### An Introduction to 3 Figure Bearings

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This is a couple of worksheets I wrote for the introduction to 3 figure bearings with my KS3 groups. They can be done as a whole class activity or individually - I have included a black and white version of the maps if you need them.

#### The Equation Of A Circle

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This PDF is a worksheet covering everything that higher level students will need on the equations of a circle. It includes a few questions aimed at stretching those who are trying to acheive grades 7+ There are 22 questions ranging from understanding the equation of a circle to the equation of a tangent to a circle, including questions on the distance from a point to the origin. Answers are provided.

#### Substitution

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2 PDFs + Answers covering all that you will need on substituition. Aimed at higher level GCSE there over 40 questions in all. Basic Substitution This worksheet provides expressions and common formulae that pupils should be able to substitute into - mostly without a calculator. Worded Problems The second worksheet gives 11 questions of formula in context. - Some of these questions involve standard form. Answers

#### Logarithms - An Excellent Worksheet with answers

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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.

#### Reverse Percentages Worksheet

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This PDF consists of 15 questions on reverse percentages. All answers have been carefully calculated to ensure that the answers are both sensible and “whole numbers”. Each question is realistic and the prices are up to date! Answers are included

#### 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.

#### 3 Set Venn Diagrams

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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.

#### Rearranging Equations

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This is a PDF with over 60 questions on 'Changing The Subject Of An Equation&quot;. Aimed at higher level GCSE groups, this worksheet includes questions involving ‘self inverse functions’ such as ‘Divide into’ and ‘subtract from’. I have also included 15 questions on rearranging equations where x appears twice in a fraction, a question that has been frequently asked at GCSE. Answers are included.

#### Standard Form

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This is a great worksheet full of interesting numbers that pupils put into and take out of Standard Form. This sheet is aimed at introducing Standard Form at KS3. All numbers have been verified and are accurate and answers are provided. Answers are provided

#### Percentage Increase and Decrease

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This PDF is 31 questions in total covering all that you will need for percentages increases and decreases at GCSE. Questions include, finding the value after an increase has been applied - including compound interest, and also finding the percentage change. The last few questions are for the more able at KS4 Answers are included

#### Reading From A Venn Diagram

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This is a PDF of two pages and nine questions covering more complex questions on Venn diagrams, largely limited to two set Venn diagrams (though one question is on three sets). These questions take the information given and ask pupils to put them into a Venn diagram and hence answers questions. I have included probability and also conditional probability as it is now appearing on GCSE papers. Answers are included.

#### Iteration Worksheet

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This PDF consists of seven full size GCSE size questions. Unlike some others - each of these questions have been carefully checked to ensure that the iterative process definitely works. They are presented in the “write on” format and are ideal for introducing the topic in Year 11 or for revision. Partial Answers are included