Number, Algebra & Trigonometry – In 24 Minutes

This series is a new and highly exciting method that demonstrates the ease of understanding mathematics in hours instead of years (or never). The tone is very conversational and makes for an addictive read. Featuring new and easier ways to tackle all mathematics problem upto (and exceeding) UK – GCSE standard, this course is a great investment in your learning and future.

The course also comes with YouTube instructional videos which are available on the author’s YouTube channel. These short – under a minute – videos demonstrate the methods in real time, making the book even easier to understand.

Table of Contents

1 Introduction to Multiplication
2 What Multiplication Is
3 New Method for Times Tables
4 What Brackets Mean
5 2 x 2 Digit Numbers
6 3 x 3 Digit Numbers
7 Bigger Numbers
8 What Multiplication Is For
9 What Is Division
10 What Is Division – Part 2
11 Three Types of Division
12 Less-Straightforward Division
13 The Third Rule of Maths
14 So-Called Long Division
15 Introduction To Fractions
16 Addition Of Fractions
17 Subtraction of Fractions
18 Multiplication of Fractions
19 Dividing Fractions
20 Mixed Numbers
21 Division of Mixed Numbers
22 Addition of Mixed Numbers
23 Ultra-Fast Ways of Adding and Subtracting Fractions
24 Decimals
25 Key Change Effect
26 Reverse Situation – taking the Key Change Effect further
27 Division of Decimals
28 Percentages – In A Minute
29 Finding a Percentage of Any Number
30 Calculate Percentages Mentally
31 Useful percentages
32 Calculating Discounts
33 Real Life example – using the Multiplier in reality
34 Reverse Percentage
35 Compound Interest
36 The Flip Side
37 Fast calculation of compound interest
38 Depreciation – the reverse of Compound Interest
39 Writing A Division As A Percentage
40 Introduction to Negative Numbers
41 Everyday life
42 Multiplying Negative Numbers
43 Division of Negative Numbers
44 Final Problem
45 Introduction to Squaring & Area
46 Squaring is called ‘Squaring’
47 The Squaring System
48 Calculation of Areas
49 A New Angle
50 Introduction to Cubing
51 How Engines Work
52 Use of Letters
53 Volumes of Other Shapes
54 Introduction to Indices
55 Indices – In A Minute
56 Second Rule
57 Third Rule
58 Fourth Rule
59 Fifth Rule of Indices
60 The Sixth Rule
61 Rule 7 of Indices
62 Algebraic Indices
63 Surds
64 Rationalising The Denominator
65 Introduction to Standard Form
66 Standard Form – The Short Way of Writing Large Numbers
67 Standard Form for Small Numbers
68 Multiplying Numbers In Standard Form
69 Dividing Numbers In Standard Form
70 Typical Example Question
71 Further Examples of use of Standard Form in Science
72 Introduction to Logarithms
73 What Are Logarithms?
74 Touch Base
75 Logarithms in everyday life
76 The Rules of Logarithms
77 Introduction & Puzzles
78 Hints
79 Solutions
80 Introduction to Sequences
81 Sequences – In A Minute
82 Non-linear Sequences
83 A Man Called Al
84 Child, 12, Amazes Teacher
85 Example Questions
86 Introduction to Gradient
87 What Is Gradient?
88 The Equation of A Straight Line
89 Calculating the Gradient and ‘Cut
90 Other Straight Line Graphs
91 Introduction to Simultaneous Equations
92 Simultaneous Equations
93 Type 2 Algebra
94 Type 3 Algebra
95 What We’re Doing This For
96 Real-Life Example of Simultaneous Equations
97 Simultaneous Equations – School Style
98 Introduction to Quadratic Equations
99 Multiplying Brackets
100 Factorising
101 Multiplying – In A Minute
102 What We’re Doing This For
103 Solving A Quadratic
104 Non-factorisable Quadratics
105 Any Type of Quadratic
106 Another Example
107 Completing the Square
108 A Closer Look At The Quadratic Formula
109 What Multiplying Two Expressions Together Will Give
110 Why Is it Called ‘Completing The Square’?
111 Simultaneous Equations – Extended
112 Epilogue
113 Introduction to Inequalities
114 Three Types of Algebra for Inequalities
115 Type 2 Algebra
116 Type 3 Algebra
117 When the Inequality Sign Flips
118 Inequalities of Quadratics
119 Quadratics and Straight Lines
120 Introduction to Changing The Subject
121 Using BIDMAS to Change the Subject
122 Examples
123 How We’ve Used This Before
124 Exceptions To The Rule
125 Famous Science Formulae Rearranged
126 Introduction to Cubics
127 Multiplying Three Brackets
128 Factorising a Cubic
129 Factorising a Cubic 2
130 Remains of The Day
131 Finding the maximum or minimum values
132 Introduction to Advanced Mental Multiplication
133 The Times Tables
134 How to Multiply Two Digit Numbers In Your Head
135 Squaring Large Numbers
136 Finding Square Roots from Square Numbers
137 The Christmas Party Where I Was Called A Wizard
138 How To Check Multiplications Are Correct – In Seconds
139 The Christmas Party Magic Trick
140 Algebra Behind the Multiplication Method
141 Algebra Behind The Squaring System
142 Algebra Behind Advanced Multiplication Using Squares
143 Introduction to Gradient/Tangent
144 Concept Connected To Gradient
145 Putting Our Values To Use
146 Secondary Solutions
147 Introduction to Sine & Cosine
148 Normalising the Hypotenuse
149 Putting Our Values To Use 1
150 Secondary Solutions
151 Using Sine To Find the Area of A Triangle
152 The Other Two Sides of The Triangle
153 Putting Our Values To Use 2
154 The Relationship Between Sine, Cosine, Tangent, Gradient
155 Reverse of Sine
156 A New Angle
157 Pythagoras’ theorem
158 Special Situation
159 Reverse Situation
160 The Pythagorean Theorem Is Not Just For Triangles Once
161 Introduction to Sine & Cosine Rules
162 The Sine Rule
163 Right-Angled Triangles
164 One Situation Remains – The Cosine Rule
165 Derivation of Cosine Rule