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The titles of the MM books are abbreviated as follows:
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MM1 = Murderous Maths
MM2 = More Murderous Maths ESSAR = The Essential Arithmetricks MANDV = The Mean and Vulgar Bits fractions DMEAS = Desperate Measures LUCKY = Do You Feel Lucky? probability VCIR = Vicious Circles |
NUM = Numbers the Key to the Universe
PHX = The Phantom X algebra FANG = The Fiendish Angletron trigonometry PSAUS = The Perfect Sausage formulas CODES = Codes - how to make and break them SUD = SuDoku KAK = Kakuro |
| DBB = Professor Fiendish's DIABOLICAL BRAINBENDERS | |
9: NUM 151-163
11: When will a number divide by 11?
13: fear of NUM 78-89
37: NUM 37
1089: MM1 78-80, 1089
4 4's: Sunny's 4x4 Challenge
Abacus: MM1 33-34
Acceleration: PSAUS 46-54
Accuracy: measurement DMEAS 27
Addition: ESSAR 19-31
Algebra: PHX (entire book), card trick MM1 116-124
Alternate Segment: The Alternate Segment Theorem & Proof
Amicable numbers: NUM 148-150
Angles: DMEAS 115-126, MM1 73-78, opposite, corresponding VCIR 16-17, very small FANG 138-158
Angstrom: DMEAS 21
Annulus: formula PSAUS 163-165, The area of an ANULUS
Archimedes: principle DMEAS 135-144, MM1 10, DMEAS 150-157, sphere formula PSAUS 167-170
Arcsecond: FANG 138-139
AREA: formulas PSAUS 10, 116-142, measuring DMEAS 92-110, Area calculator
Articles: Stories from "The Week" that amused us, The Cicadas 17-year Life Cycle, The Al-Gebra Movement
Astonomical Unit (au): FANG 155
Averages: MANDV 124-156
Babylonians: NUM 128
Base 8: NUM 126-127
Bear Hunter Puzzle: VCIR 63-65, The Bear Hunter Puzzle
Bearings and navigation: FANG 181-196
Bell ringing: LUCKY 99-103
Big numbers: MM1 130-135
Binary: NUM 130-133, code CODES 18-24,
Birthdays: chances of sharing LUCKY 125-128
Bisecting lines and angles: MM2 113-119, lines VCIR 22-26, angles VCIR 26-27
Brackets: PHX 22-24, ESSAR 167-168
Buoyancy: DMEAS 146-149
Cake: dividing fairly VCIR 51-60
Calculator: getting sin, cos, tan values FANG 75-87
Calculators (online): Area calculator, LCD and HCF, Prime Number calculator, Age calculator, Time calculator, Quadratic calculator, Friday 13th calculator
Calculus: there is an introduction and explanation in "Isaac Newton and His Apple" by Kjartan Poskitt. differential calculus 56-63, integral calculus 92-94
Calendar: Babylonian Julian Gregorian DMEAS 159, The Calendar Trick
Cancelling fractions: MANDV 56-63
Cards (playing cards): LUCKY 128-136, algebra trick MM1 116-124, The Chances of Card Hands, How many different ways can you put a pack of cards in order?
Centred Hexagon Numbers: NUM 60-62, PSAUS 19
Chance: LUCKY (whole book), The Chances of Card Hands, The National Lottery Odds
Chords (of circles): VCIR 106-113, PSAUS 155
Cicidas: The Cicadas 17-year Life Cycle
CIRCLES: VCIR 100-120, PSAUS 152-157, The Names of Bits of Circles Quiz, How to find the centre of a circle using a book
Clocks: MM1 60-71
Codes: CODES (whole book)
Coefficients: PHX 12, Pascal coefficients PHX 100-107
Coin tossing: LUCKY 18-23, 40-43, 44-60, 63-66, 68, 70-77
Coin Tricks/Problems: DBB 52-53, 82, The Coin Pyramid (Tower of Hanoi), The 6 Coin Circle Problem, The Twelve Coin Balance Problem (and solution)
Combinations: LUCKY 78-103, PSAUS 106-108, The Unknown (Combinations) Formula
Compass: bearings and navigation FANG 181-196
Compasses: circles, bisecting lines and angles MM2 111-119
Cone: PSAUS 172
Conversions: PSAUS 195, angles dms calculator button FANG 141
Co-ordinates: PHX 128-142
Cos: FANG 67-68, 60º, 0º, 90º, 45º FANG 93, cosine formula FANG 119-123
Crescent areas: PSAUS 158-161
Cube (solid): formulas PSAUS 10, 143-146, The Magical Self-Assembling Cube!
Cube (x3): NUM 57-60, curve on graphs PHX 142
Cyclic Quadrilateral: VCIR 103-105
Day of Week algorithm: PSAUS 95-100
Decimal fractions: MANDV 100-111
Decimal point: ESSAR 163
Density: DMEAS 145-146, PSAUS 201
Diagonals: PSAUS rectangle 10, 13, polygons 123, 124, cuboids 144, Diagonals of Polygons (with proof)
Dice: LUCKY 23-25, 104-125, VCIR 128-133, puzzle DBB 100-102
Difference of two squares: NUM 50-52, PHX 108-110
Dimension 1D 2D 3D: MM2 33-43, 3D Noughts and Crosses Game
Division: ESSAR 107-134
Dms: calculator button FANG 141
Dodecahedron: PSAUS 149, VCIR 121, 127, 131, 135
Dominoes: MM2 13-23
Drawing: triangles FANG 38-45
e : NUM 178-183
Egyptian fractions: MANDV 86-87
Einstein, Albert: PSAUS 65, 69
Ellipses: VCIR 137-147, how to draw VCIR 141-143, formulas PSAUS 180-182, The Area of an Ellipse and Volume of Ellipsoids
Equations: PHX 19-45, quadratic PHX 56-66, simultaneous PHX 147-156, names of different types MM1 94,
Equilateral triangle: VCIR 31, how to draw with ruler and compasses VCIR 74 how to fold from paper VCIR 96
Estimating: ESSAR 153-162
Euler: solids formula VCIR 123, e,i,PI formula NUM 186
Exam tips: GCSE Slips and Tips (exam help)
Expanding (brackets): PHX 48-52
Factorial: ESSAR 166-167, LUCKY 79-81
Factorising: algebra PHX 48-52, into prime factors MANDV 45-48, 53-55
Facts (pathetic): NUM 9-16, 191-192, The Most Pathetic Facts in Maths
Fermat's Last Theorem: NUM 66-70
Fibonacci: NUM 17-41, Fibonacci trick NUM 40-41, PHX 78, formula PSAUS 203, Fibonacci and Nature
Finger Times Tables: NUM 119-122, Finger Times Tables
Flexagons: How to make Flexagons
Fortune Telling with numbers: NUM 71-76
Fractions: MANDV whole book, ESSAR 112-114,
g Gravity: PSAUS 55, 63. For a lot more information on gravity and forces, see "Isaac Newton and His Apple" by Kjartan Poskitt 69-85, 154-157
Geometry set: FANG 12-19
Gigameter: DMEAS 48
Gradients (on graphs): PHX 134
Graphs: x and y axis and how to plot for equations PHX 132-143
HCF: MANDV 52
Hemisphere: PSAUS 171
Hexagon: how to draw VCIR 73, how to fold from paper VCIR 97, tessalation VCIR 85,
Hypotenuse: FANG 60
i : NUM 183-186, square root of i The Research Lab
Icosahedron: PSAUS 149, VCIR 121, 125, 127, 131
Illusion: MM2 43, The Football Team Illusion, Lil's Missing Card Illusion, Sam Loyd's Get Off The Earth Puzzle Akiyoshi Kitaoka's Distorted Squares
Imperial units: DMEAS 30-45
Infinity: NUM 7-9, 188-190
Inscribed circle: PSAUS 118
INT function (integer division): PSAUS 97
Interest (money): PSAUS 82-94
Irrational numbers: NUM 164-173
Isosceles triangle: VCIR 11, 31-32
Kaprekar: NUM 115
Kepler: PSAUS 62
Kjarposko Puzzles: KAK, The Dreaded Kjarposkos
LCD: MANDV 64-73, 78-80
Light year: FANG 155-156, DMEAS 21
Line, area, volume: MM2 24-54
Locus: VCIR 21-22
Logic Problems: DBB, Dolly's Rush Hour, Luigi's Outside Table
Long Division: ESSAR 123-126,
Lottery: LUCKY 93-94, The National Lottery Odds
Lucky numbers: NUM 76-77
Magic Squares: MM1 103-106, How to make 5x5 and 7x7 Magic Squares, How to make 4x4 Magic Squares
Mathematicians: MM1 81-97
Mean: averages MANDV 124-156
Measurements: DMEAS whole book, MM2 44-54
Median: MANDV 146-149
Mersenne Primes: NUM 100-103, 142-144 The Research Lab
Metric System: DMEAS 45-51
Mirror numbers: MM2 107-108
Mobius strip: MM2 74-80
Mode: MANDV 143-146
Modulus (MOD function): PSAUS 98, CODES 148-149, The Modulus 105 Trick
Money: PSAUS 70-94, interest and e NUM 180-183, history ESSAR 135-144
Multiplication: ESSAR 93-101
Mutually exclusive outcomes: LUCKY 106
Nanometer: DMEAS 47
Nets (of solids): VCIR 128-136 the 11 nets of a cube see: The Research Lab
Newton: PSAUS 64-65. For a lot more information on forces, see "Isaac Newton and His Apple" by Kjartan Poskitt 144-157
Numbers: NUM, The link between Squared Triangle and Cube Numbers
Number tricks: The 7-11-13 trick, The Impossible Guess, The Missing Digit Trick, Riverboat Lil's Mindreader trick
Octahedron: PSAUS 149, VCIR 121. 125, 127, 133-134
Odd and Even numbers: ESSAR 15-16
Odds: LUCKY 38-39, 153-161
Palindrome numbers: MM2 107-108
Parabola: x2 graphs PHX 139- 144
Parallax: FANG 150, 153
Parallelogram: PSAUS 134
Parallel lines: how to draw FANG 18
Parsecs: FANG 155-158
Pascal's Triangle: for coefficients of (a+b)n PHX 100, probability LUCKY 61-77, combinations LUCKY 96-99, Pascal's Triangle How to get Fibonacci series see THE RESEARCH LAB
Pendulums: PSAUS 68
Penrose Roger: tiles VCIR 90-91, The Penrose Chickens
Pentagon: how to fold from paper VCIR 97-98
Pentagonal Number: PSAUS 19
Pentominoes: MM2 16-20
Percentages: PSAUS 72, MANDV 112-117
Perfect Numbers: NUM 136-146
Perimeter: PSAUS 12, 116, MM2 99-106
Permutations: PSAUS 103-105, LUCKY 81-88, DBB 46-47
Perpendicular bisector: VCIR 22-26
PI: NUM 174-178, PSAUS 15, 150-152, LUCKY 143-147, MM2 89-94
Picometer: DMEAS 47
Pizza cutting: PSAUS 31, Chopping Pizzas
Polygons: VCIR 56-99, PSAUS 116-126, tan area formula FANG 126-128, The Research Lab
Powers: ESSAR 168-169, MM1 15-18
Prime factors: MANDV 43-48
PRIME NUMBERS: explanation MANDV 40-44, NUM 90-112, MM1 46-51, Sudoku prime SUD 126, use in codes CODES 148-149, The Prime Numbers Trick, The Prime Counter Mersenne Primes NUM 100, 142 The Research Lab
Profit: PSAUS 70-74
Proportion: FANG 30-31
Protractor: DMEAS 120-121, FANG 16-17
Puzzles: DBB whole book, SUD, KAK, Dreaded Kjarposkos, Murderous Brainbending Puzzles
Pyramid: PSAUS 10, 146
Pythagoras: MM2 81-88 theorem proof VCIR 148-159
Quadratics: solving equations and formula PHX 53-66, PSAUS 138, Solving Quadratics by Completing the Square, Quadratic calculator
Radians: DMEAS 124
Ratios: FANG 30-37, trigonometry FANG 59
Rectangle: formulas PSAUS 10-13
Reducing fractions: MANDV 49-51
Regions: Surprising Regions Formula
Regular Solids: VCIR 121-136, formulas for surface area and volume PSAUS 149, Regular Solids - formulas for volumes
Research Lab: THE RESEARCH LAB (With answers to a very wide variety of odd maths questions!)
Rhombus: PSAUS 135
Right angle: MM1 72
Right angled triangles: MM2 81-88
Roman numerals: MM1 27-31
Rounding off: ESSAR 145-152, MM1 126-129
RSA codes: CODES 145-157
Sam Loyd: The Sam Loyd Sliding Block Puzzle, Sam Loyd's Get Off The Earth Puzzle
Sampling: LUCKY 149-152
Scale: FANG 20-29
Sector: PSAUS 156
Segment: PSAUS 157
Semicircle: right angle VCIR 12-13,
Semiperimeter: PSAUS 116
Set Square: FANG 17-18
Shadow Stick: DMEAS 66
Significant digits/figures: ESSAR 145
Simulaneous Equations: graph solving PHX 136-137, elimination and substitution PHX 147-156
Sin: FANG 60-66, 60º, 0º, 90º, 45º FANG 88-92, getting values by drawing FANG 94-96, sin formula PSAUS 120, sin formula FANG 114-118, triangle area formula FANG 128-130
Sine wave: FANG 165-174, The sounds of SIN and SQUARE waves
Sohcahtoa: FANG 71
SPEED: PSAUS 38-60, MM2 61-73
Sphere: PSAUS 10, 170-172
SQUARE (shape): how to draw with ruler and compasses VCIR 74-76, how to fold VCIR 94
SQUARE (x2): NUM 43-56
Square Pyramid Numbers: NUM 63-64, PSAUS 20
Square Roots: How to work out Square Roots without a calculator, square root of i The Research Lab
Stamps: formula for number of ways of tearing from a sheet PSAUS 21-24, 196-197, Matthew Sheeran's Amazing Stamps Formula!
Standard Form: DMEAS 56-63, MM1 130-135
Star: distance away FANG 147-158
Subtraction: ESSAR 53-70
Sudoku: how many possible grids? SUD 122-127
Symmetry: MM1 136-141
Tan: FANG 69-71, 45º FANG 94
Tangents: VCIR 114
Temperature: DMEAS 169
Tessalation: VCIR 88-91, MM1 19-21
Testing for factors: MANDV, NUM 108-111, Testing if numbers divide by 11, 7 or 13, The 11 Test
Tetrahedral Numbers: NUM 62-63, PSAUS 19, 90
Tetrahedron: PSAUS 148-149, VCIR 121, 125, 127, 131, 133
Thales: VCIR 12-13,
Think of a number tricks: PHX 79
Time: DMEAS 158-167, see Speed, Acceleration, Pendulums
Times tables: ESSAR 71-92
Topology: bridge crossing and drawing problems MM2 136-145
Torus: PSAUS 173-174, volume The Research Lab
Trancindental numbers: NUM 174-183
Trapezium: PSAUS 139-142, Calculating the Area of a Trapezium without the height!
TRIANGLES: VCIR 39-65, formulasPSAUS 126-134 constructing FANG 38-45, sin area formula FANG 128-130
Triangle Numbers: MM2 123-130, NUM 54-56, PSAUS 17-18, 21, 89, The link between Squared Triangle and Cube Numbers, NUM 64-65
Triangulation: FANG 133-136
Tricks: DBB, PHX 74-90, Professor Fiendish's Tricks and Games
Trigonometry: FANG (whole book), PSAUS 121
Unit fractions: PSAUS 192
Units of measurement: DMEAS 168-174, Some Unusual Units
Volume: measuring DMEAS 127-133
Waves: sin cos tan FANG 165-180
Y intercept (on graphs): PHX 135
Zero: invention of 0 MM1 35-36, impossible proof PHX 157
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