# Happymathematician's Shop

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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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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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#### Expressing One Number As A Percentage Of Another - With Answers

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This PDF consists of 12 questions expressing one number as a percentage of another. Aimed at Key Stage 3 classes, there is nothing too demanding required and all answers to the problems are whole numbers. I have included thirds and eighths in some of these. Answers are included. Contents One Number As A Percentage Of Another Answers Please leave feedback, especially 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.

#### 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.

#### Simultaneous Equations - over 90 questions with answers

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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

#### Implicit Differentiation Worksheet + Answers

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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

#### 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.

#### Rational & Irrational Numbers

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I great little worksheet which is essential for understanding irrationality for GCSE grade 6+. Answers are included.

#### 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.

#### Reverse Percentages Worksheet - With Answers

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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 Please leave feedback, especially 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.

#### 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

#### Simultaneous Equations including non- linear

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Everything needed on simultaneous equations from the introduction to the Higher level topic of one linear and one non-linear equation. There is a lot here covering several lessons work including homework. All answers are inluded. Please provide feedback, particularly if you like my work - thank you.

#### Calculations In Standard Form Worksheet - with answers

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Aimed primarilay at KS4, I have used this effectively with more able KS3 pupils. This PDF consists of 43 individual questions working with calculations in standard form both with and without a calculator. - this is a very thorough worksheet. Two sets are provided - ‘all on on sheet��� and ‘larger format with more space’ Answers are provided. Please provide feedback - especially if you like this work - thank you

#### Direct & Inverse Proportion worksheet with answers

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These worksheets cover everything you need up to GCSE on Direct and Inverse Proportion and include all answers. There are approximately 20 questions on each PDF (with sub-questions) - so 20 on direct and 20 on indirect, some given as simple number questions but I have introduced some ‘problems’ in the latter parts of the exercise. This is an excellent resource for classwork / homework or revision. Answers are included Please leave feedback, particularly if you like my work - thank you.

#### The Sine and Cosine Rule - 6 worksheets with answers

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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

#### Sums & Difference - Mental maths with 2 digit numbers - Fun game with 7 boards

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This was a starter activity for Year 7 originally but I ended up using it for many KS3 class. You are provided with a ‘Blockbuster’ board and 6 double digit numbers. Each cell on the board can be won by finding the two numbers that add or subtract to give the number contained within that cell. One player/team is trying to create a path from top to bottom while the other player/team are attempting to create a path from right to left. The winner is the player/team to complete their path (a draw is impossible). Start with the toss of a coin and then teams take alternating goes - spice it up by adding a timer ! You receive: Instructions + 6 game boards + 1 game board which is offered free separately. This is a great ‘fun’ activity which pupils have all loved - a great Christmas lesson too Please leave feedback, particularly if you like my work - thank you.

#### Ratio Scales - Great Worksheet with 30 Questions + Answers

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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 Please leave feedback, particularly if you like my work - thank you.

#### Iteration For G.C.S.E. - Worksheet with answers

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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 Please leave feedback, particularly if you like my work - thank you.

#### Similar Triangles - 3 Worksheets with Answers

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A great set of worksheets covering all that you will need at GCSE on similar triangles. Three worksheets in total with plenty of questions up to level 6+ Identifying similar triangles Calculating lengths in similar triangles More complex questions - including parallel lines Answers are provided Please leave feedback, particularly if you like my work - thank you.

#### Integration By Substitution - 0ver 100 Questions with Answers

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This is a huge set of worksheets - over 100 different questions on integration by substitution - including: definite integrals indefinite integrals integrals that require rearrangements logs and trigonometry. Miscellaneous - good for tests Enough questions to give for examples, practice and homework. Answers are included and have been thoroughly checked. Please leave feedback, particularly if you like my work - thank you