Contents Name/Copyright Series Contents Proverb How To Best Use This Book Introduction to Multiplication What Multiplication Is New Method for Times Tables What Brackets Mean 2 x 2 Digit Numbers 3 x 3 Digit Numbers Bigger Numbers What Multiplication Is For What Is Division What Is Division - Part 2 Three Types of Division Less-Straightforward Division The Third Rule of Maths So-Called Long Division Introduction To Fractions Addition Of Fractions Subtraction of Fractions Multiplication of Fractions Dividing Fractions "Mixed Numbers" Division of Mixed Numbers Addition of Mixed Numbers Ultra-Fast Ways of Adding and Subtracting Fractions Decimals Key Change Effect Reverse Situation - taking the Key Change Effect further Division of Decimals Percentages - In A Minute Finding a Percentage of Any Number Calculate Percentages Mentally Useful percentages Calculating Discounts Real Life example - using the Multiplier in reality Reverse Percentage Compound Interest The Flip Side Fast calculation of compound interest Depreciation - the reverse of Compound Interest Writing A Division As A Percentage Introduction to Negative Numbers Everyday life Multiplying Negative Numbers Division of Negative Numbers Final Problem Introduction to Squaring & Area Squaring is called ‘Squaring' The Squaring System Calculation of Areas A New Angle Introduction to Cubing How Engines Work Use of Letters Volumes of Other Shapes Introduction to Indices Indices - In A Minute Second Rule Third Rule Fourth Rule Fifth Rule of Indices The Sixth Rule Rule 7 of Indices Algebraic Indices Surds Rationalising The Denominator Introduction to Standard Form Standard Form - The Short Way of Writing Large Numbers Standard Form for Small Numbers Multiplying Numbers In Standard Form Dividing Numbers In Standard Form Typical Example Question Further Examples of use of Standard Form in Science Introduction to Logarithms What Are Logarithms? Touch Base Logarithms in everyday life The Rules of Logarithms Introduction & Puzzles Hints Solutions Introduction to Sequences Sequences - In A Minute Non-linear Sequences A Man Called Al Child, 12, Amazes Teacher Example Questions Introduction to Gradient What Is Gradient? The Equation of A Straight Line Calculating the Gradient and ‘Cut Other Straight Line Graphs Introduction to Simultaneous Equations Simultaneous Equations Type 2 Algebra Type 3 Algebra What We’re Doing This For Real-Life Example of Simultaneous Equations Simultaneous Equations - School Style Introduction to Quadratic Equations Multiplying Brackets Factorising Multiplying - In A Minute What We’re Doing This For Solving A Quadratic Non-factorisable Quadratics Any Type of Quadratic Another Example Completing the Square A Closer Look At The Quadratic Formula What Multiplying Two Expressions Together Will Give Why Is it Called ‘Completing The Square'? Simultaneous Equations - Extended Epilogue Introduction to Inequalities Three Types of Algebra for Inequalities Type 2 Algebra Type 3 Algebra When the Inequality Sign Flips Inequalities of Quadratics Quadratics and Straight Lines Introduction to Changing The Subject Using BIDMAS to Change the Subject Examples How We've Used This Before Exceptions To The Rule Famous Science Formulae Rearranged Introduction to Cubics Multiplying Three Brackets Factorising a Cubic Factorising a Cubic 2 Remains of The Day Finding the maximum or minimum values Introduction to Advanced Mental Multiplication The Times Tables How to Multiply Two Digit Numbers In Your Head Squaring Large Numbers Finding Square Roots from Square Numbers The Christmas Party Where I Was Called A Wizard How To Check Multiplications Are Correct - In Seconds The Christmas Party Magic Trick Algebra Behind the Multiplication Method Algebra Behind The Squaring System Algebra Behind Advanced Multiplication Using Squares Introduction to Gradient/Tangent Concept Connected To Gradient Putting Our Values To Use Secondary Solutions Introduction to Sine & Cosine Normalising the Hypotenuse Putting Our Values To Use 1 Secondary Solutions Using Sine To Find the Area of A Triangle The Other Two Sides of The Triangle Putting Our Values To Use 2 The Relationship Between Sine, Cosine, Tangent, Gradient Reverse of Sine A New Angle Pythagoras’ theorem Special Situation Reverse Situation The Pythagorean Theorem Is Not Just For Triangles Once Introduction to Sine & Cosine Rules The Sine Rule Right-Angled Triangles One Situation Remains - The Cosine Rule Derivation of Cosine Rule Exam Technique THE END Name/Copyright Math-Hacker © Paul Carson 2015 Dedication To Tymoteusz, I hope the world you grow up in teaches maths easily. Blog http://mathsinaminute.blogspot.com Website http://www.paulcarsonmaths.co.uk Twitter @In_A_Min Email [email protected] YouTube Channel Containing Instructional Videos http://www.youtube.com/user/InAMinMaths Series Contents Series of books and titles Naked Numbers: The 3 Rules To Make Your Life Add Up, Hodder Education, the Michel Thomas Method (2010) Maths in a Minute Series Contents and numbering 2nd September 2013 1. Multiplication 2. Division 3. Fractions 4. Decimals 5. Percentages 6. Negative Numbers 7. Squaring & Area 8. Cubing & Volume 9. Indices 10. Standard Form 11. Logarithms 12. Sequences 13. Gradient/Equation of A Straight Line 14. Simultaneous Equations 15. Quadratics 16. Inequalities 17. Changing the Subject 18. Cubics 19. Algebraic Fractions 20. Algebra of Arithmetic 21. Angles and Radians 22. Gradient/Tangent 23. Sine and Cosine 24. Sine and Cosine Rules