# 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 !

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#### 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

#### Sums and Differences - A game to develop arithmetic skills in KS2 and KS3

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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 !

#### Using Planetary Info to teach Standard Index Form

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This is nothing more than a table showing information about the Planets. You can use the info to: Take numbers out of Standard Form Put numbers into Standard Form Compare sizes in Standard Form Add / Subtract / Divide In Standard Form No questions are given just the data for use in your classroom.

#### KS3 Column Vectors

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2 extensive worksheets and a game covering just about everything needed for KS3 column vectors - Answers are included. 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.

#### Areas - From First To Last

5 Resources
This is a bundle of all the GCSE areas required from basic irregular shapes on a grid all the way up to around grade 7 compound areas and area problems - it is a very comprehensive bundle which I created for both the classroom teacher and the students to revise from.

#### Similar Triangles

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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

#### 6 Worksheets on Trigonometry in Right Angled Triangles - over 50 questions

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6 Worksheets covering all aspects of Trigonometry in Right angled triangles (with answers) Trigonometry1 is 10 Questions on finding a side with the unknown on the top of the fraction. Trigonometry2 is 10 Questions on finding a side with the unknown on the bottom of the fraction. Trigonometry3 is 10 Questions on finding angles. Trigonometry4 is 12 Questions which are a mixture of questions from the first 3 worksheets. Trigonometry5 is 5 Questions involving two triangles together where info is transferred from one to the other. Trigonometry6 is 10 Problems covering the applications of Trigonometry. Trigonometryans is obviously the answer sheet to each of the above worksheets.

#### Travel Graphs

2 Resources
A great resource covering all that you will need in travel graphs 9 Distance time graphs to discuss and read information from - including a couple with curved graphs so pupils can estimate the gradient of a curve to find velocity. All the distance time graphs are in context and have realistic values (no more 14s bike rides !) 3 fitting the distance time graphs to the situation. 5 velocity time graphs including curves drawn large enough for you to be able teach area under a graph from 1 really good question on fitting 9 situations to their velocity time graphs.

#### Manipulation Of Surds

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Aimed at higher level GCSE this worksheets covers everything that you need for grade 6+ No answers are provided as students can check their work on a calculator.

#### KS3 and KS4 Sequences

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4 Extensive worksheets on all that you will need on sequences up to GCSE level. LINEAR SEQUENCES 1 - 10 questions on arithmetic progressions, the nth term and the algebraic approach. LINEAR SEQUENCES 2 - 6 questions over 4 pages of pattern building with matchsticks and tiles etc to develop an arithmetic sequence. OTHER SEQUENCES - questions on other sequences including squares, cubes, primes, fibonacci and a geometric sequence, in each case simply give the next two terms - no nth term here as it is aimed at KS3 and foundation level. QUADRATIC SEQUENCES - 20 sequences with answers that are quadratic - just for practice. ANSWER SHEETS

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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 8 questions covering angles in a polygon. Answers

#### Angles From First To Last

3 Resources
This is everything you need to teach angles from Year 7 to Higher level GCSE A comprehensive set of worksheets with well over 100 questions over 11 worksheets.

#### Basic Plotting Of Quadratic Curves

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For students who need a bit of practice plotting quadratics I created a more simple worksheet, it covers all that you will need up to about grade 5/6. Answers are included.

#### Higher Level Quadratics - From First To Last

6 Resources
Everything that you need for Higher Level work on Quadratic equations and graphs. This is a very comprehensive set of worksheets and answers are included.

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A great worksheet consisting of several questions which ask the student to plot a quadratic and then, by drawing a line on the same grid solve an unrelated quadratic equation. This is level 7+ graphwork and extends students understanding of graphs a little further and requires a little more algebraic manipulation. Answers are included.

#### The Difference Of Two Squares With Applications & Answers

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This Worksheet covers all that you will need on the Difference Of 2 Squares and it’s Applications. I always find that this is an area of Quadratic theory that is underrated so I developed this for those working towards grade 7+

#### Mixed Area, Compound Areas and Problems - With Answers

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3 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 Areas - 16 questions covering all that you will need on compound areas. Area Problems - 13 questions covering areas in a realistic context. Answer Sheet

#### The Area Of Basic Shapes - With Answers

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6 thorough worksheets covering all of the basic shapes required for GCSE. Rectangles - 10 Questions covering the area and perimeter of rectangles and squares. Parallelograms - 10 Questions covering the area and perimeter of parallelograms and rhombuses. Triangles - 12 Questions covering all you will need on the area of a triangle. Trapezia - 9 questions covering the area of all types of trapezia. Circles - 12 questions covering the area and circumference of circles + quadrants. Answers - All the answers are provided including the answers to the free areas worksheets that are also available.

#### 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.

#### Errors in Measurements - A Worksheet For Grade 6+ with Answers

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A comprehensive worksheet covering errors in measurement and the resulting calculations. This is a great homework sheet or there are plenty of questions for discussion.