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The titles of the MM books are abbreviated as follows:
| MMoE = The Murderous Maths of Everything (large format in full colour) | |
|
MM1 = Murderous Maths (Bend Your Brain)
MM2 = More Murderous Maths (Mash Your Mind) AWAR = The Awesome Arithmetricks MANDV = The Mean and Vulgar Bits fractions DMEAS = Desperate Measures LUCKY = Do You Feel Lucky? probability SAVSH = Savage Shapes geometry KEY = The Key to the Universe numbers |
PHX = The Phantom X algebra
FANG = The Fiendish Angletron trigonometry PSAUS = The Perfect Sausage formulas CODES = The Secret Life of Codes EQEA = Easy Questions Evil Answers DBB = Brain-Benders SUD = SuDoku KAK = Kakuro |
3.1415... : KEY 174-178, PSAUS 15, 150-152, LUCKY 143-147, MM2 89-94, EQEA 24
9: KEY 151-163
11: Can I divide the world into football teams? EQEA 14, When will a number divide by 11?
13: fear of KEY 78-89
37: KEY 37
1089: MM1 78-80, 1089 times table EQEA 15-16, 1089
4 4's: Sunny's 4x4 Challenge
Abacus: MM1 33-34
Acceleration: PSAUS 46-54
Accuracy: measurement DMEAS 27
Addition: AWAR 19-31
Algebra: PHX (entire book), card trick MM1 116-124
Alternate Segment: The Alternate Segment Theorem & Proof
Amicable numbers: KEY 148-150
Angles: DMEAS 115-126, MM1 73-78, opposite, corresponding SAVSH 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, Cool Greek Maths Geeks
Astonomical Unit (au): FANG 155
Averages: MANDV 124-156
Babylonians: KEY 128
Base 8: KEY 126-127
Bear Hunter Puzzle: SAVSH 63-65, The Bear Hunter Puzzle
Bearings and navigation: FANG 181-196
Bell ringing: LUCKY 99-103
Big numbers: MM1 130-135, EQEA 119-128
Binary: KEY 130-133, code CODES 18-24,
Birthdays: EQEA 100-105, chances of sharing LUCKY 125-128, What are the chances of 366 strangers all having different birthdays?
Bisecting lines and angles: MM2 113-119, lines SAVSH 22-26, angles SAVSH 26-27
Blue moon: EQEA 44
Brackets: PHX 22-24, AWAR 167-168
Buoyancy: DMEAS 146-149
Cake: dividing fairly SAVSH 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, The Factoriser Calculator. There is also an excellent selection of specialised financial calculators which work out things like compound interest on another site: Financial Calculators.
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: EQEA 49-57, Babylonian Julian Gregorian DMEAS 159, The Calendar Trick
Cancelling fractions: MANDV 56-63
Cards (playing cards): chances LUCKY 128-136, chances MMoE 75-77, 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: KEY 60-62, PSAUS 19
Chance: LUCKY (whole book), MMoE 81-84, The Chances of Card Hands, The National Lottery Odds
Chaos Maths: Sierpinski's Triangle MMoE 80
Chess board curiosities: MMoE 7-8, 85-87, chess and dominoes MM2 14-23, How many squares on a chess board?, The Knight's Move Magic Square
Chocolate bar: how many snaps to break EQEA 78
Chords (of circles): SAVSH 106-113, PSAUS 155
Cicidas: MMoE 17, The Cicadas 17-year Life Cycle
CIRCLES: SAVSH 100-120, PSAUS 152-157, The Names of Bits of Circles Quiz, How to find the centre of a circle using a book, How to make a Circle into a Square
Clock arithmetic: EQEA 31-36
Clocks: MM1 60-71
Codes: CODES (whole book)
Cone: volume of cone, area of sloping side PSAUS 172 What is the volume of a cone?
Coefficients: PHX 12, Pascal coefficients PHX 100-107
Coin tossing: LUCKY 18-23, 40-43, 44-60, 63-66, 68, 70-77, MMoE 73-74
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
Conway calendar: EQEA 56-57
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 11 nets EQEA 81, The Magical Self-Assembling Cube!
Cube (x3): KEY 57-60, curve on graphs PHX 142
Cyclic Quadrilateral: SAVSH 103-105
Cycloid: MMoE 45-47
Day of Week algorithm: PSAUS 95-100
Decimal fractions: MANDV 100-111
Decimal point: AWAR 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, SAVSH 128-133, MMoE 78, puzzle DBB 100-102, Play Yahtzee
Difference of two squares: KEY 50-52, PHX 108-110
Dimension 1D 2D 3D: MMoE 50-51, MM2 33-43, 3D Noughts and Crosses Game
Divine Proportion (or Golden Ratio): KEY 26-31, MMoE 54-55
Division: AWAR 107-134
Dms: calculator button FANG 141
Dodecahedron: PSAUS 149, SAVSH 121, 127, 131, 135
Dominoes: MM2 13-23
Doubling the cube: MMoE 33-35.
Drawing: triangles FANG 38-45
e = 2.71828182845904523536... : KEY 178-183
Egg: how to draw MMoE 37
Egyptian fractions: MANDV 86-87
Einstein, Albert: PSAUS 65, 69
Ellipses: SAVSH 137-147, how to draw SAVSH 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: SAVSH 31, how to draw with ruler and compasses SAVSH 74 how to fold from paper SAVSH 96
Eratosthenes: Sieve of Eratosthenes MMoE 14, Circumference of the Earth MMoE 37, Sieve of Eratosthenes
Estimating: AWAR 153-162
Euler: solids formula SAVSH 123, e,i,PI formula KEY 186
Exam tips: GCSE Slips and Tips (exam help)
Expanding (brackets): PHX 48-52
Factorial: AWAR 166-167, LUCKY 79-81
Factorising: algebra PHX 48-52, into prime factors MANDV 45-48, 53-55, The Factoriser Calculator
Facts (pathetic): KEY 9-16, 191-192, The Most Pathetic Facts in Maths
February 30th: EQEA 52
Fermat's Last Theorem: KEY 66-70
Fibonacci: MMoE 56-60, KEY 17-41, Fibonacci trick KEY 40-41, PHX 78, formula PSAUS 203, Fibonacci and Nature
Finger Times Tables: KEY 119-122, Finger Times Tables
Fixed point theorem: MMoE 67
Flexagons: How to make Flexagons
Four colour map theorem: MMoE 68-69
Formulas: PSAUS whole book, EQEA 23
Fortune Telling with numbers: KEY 71-76
Fractions: MANDV whole book, AWAR 112-114,
Friday 13th: EQEA 55-56
Games: chances of various results in card and board games MMoE 81-84
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
Giant people-eating spider: why you can't get one EQEA 86-90
Gigameter: DMEAS 48
Golden Ratio: KEY 26-31, MMoE 54-55
Golomb Rulers: MMoE 48-49, How a Golomb Ruler can make you famous for ever
Gradients (on graphs): PHX 134
Graham's number: EQEA 127
Graphs: x and y axis and how to plot for equations PHX 132-143
HCF: MANDV 52
Hemisphere: PSAUS 171
Hexagon: how to draw SAVSH 73, how to fold from paper SAVSH 97, tessalation SAVSH 85,
Horizon: how far away? EQEA 37-41
Hurricanes: Hurricane measurements, speed, strength and names
Hypotenuse: FANG 60
i : KEY 183-186, square root of i The Research Lab
Icosahedron: PSAUS 149, SAVSH 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: KEY 7-9, 188-190
Inscribed circle: PSAUS 118
INT function (integer division): PSAUS 97
Interest (money): PSAUS 82-94. For a selection of specialised financial calculators which work out things like compound interest, try this site: Financial Calculators.
International date line: MMoE 27-28
Irrational numbers: KEY 164-173
Isosceles triangle: SAVSH 11, 31-32
Kaprekar: KEY 115
Kepler: PSAUS 62
Kjarposko Puzzles: KAK, The Dreaded Kjarposkos
LCD: MANDV 64-73, 78-80
Light year: FANG 155-156, DMEAS 21, EQEA 62
Line, area, volume: MM2 24-54
Locus: SAVSH 21-22
Logic Problems: DBB, how to make a liar tell the truth EQEA 64-68, Dolly's Rush Hour, Luigi's Outside Table
Long Division: AWAR 123-126,
Lottery: LUCKY 93-94, The National Lottery Odds
Lucky numbers: KEY 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: KEY 100-103, 142-144 The Research Lab
Metric System: DMEAS 45-51, prefixes EQEA 58-60
Mirror numbers: MM2 107-108
Mobius strip: MM2 74-80, MMoE 40-41
Mode: MANDV 143-146
Modulus (MOD function): PSAUS 98, CODES 148-149, The Modulus 105 Trick
Money: PSAUS 70-94, interest and e KEY 180-183, history AWAR 135-144
Moon: how fast does it move, siderial and synodic months EQEA 42-43
Multiplication: AWAR 93-101, Russian Peasant Multiplication EQEA 17
Music: MMoE 61-64, How many different tunes can you play on a piano? EQEA 7-12, Why do some musical notes sound awful together?, How do guitar strings make different notes?, The sounds of SIN and SQUARE waves
Mutually exclusive outcomes: LUCKY 106
Nanometer: DMEAS 47
Nets (of solids): SAVSH 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
Noughts and crosses: 4-dimensional MMoE 53, 3D noughts and crosses
Numbers: KEY, 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, SAVSH 121. 125, 127, 133-134
Odd and Even numbers: AWAR 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: MMoE 72-80, 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 SAVSH 90-91, The Penrose Chickens
Pentagon: how to fold from paper SAVSH 97-98
Pentagonal Number: PSAUS 19
Pentominoes: MM2 16-20
Percentages: PSAUS 72, MANDV 112-117
Perfect Numbers: KEY 136-146
Perimeter: PSAUS 12, 116, MM2 99-106, EQEA 75-77
Permutations: PSAUS 103-105, LUCKY 81-88, DBB 46-47
Perpendicular bisector: SAVSH 22-26
PI: KEY 174-178, PSAUS 15, 150-152, LUCKY 143-147, MM2 89-94, EQEA 24
Picometer: DMEAS 47
Pizza cutting: PSAUS 31, Chopping Pizzas
Planets: Live Sky Map
Poker hands (chances of): MMoE 84, Chances of different hands of playing cards
Polygons: SAVSH 56-99, PSAUS 116-126, tan area formula FANG 126-128, The Research Lab
Powers: AWAR 168-169, MM1 15-18
Prime factors: MANDV 43-48
PRIME NUMBERS: explanation MANDV 40-44, KEY 90-112, MMoE 12-17, MM1 46-51, Sudoku prime SUD 126, The SUDOKU Prime, use in codes CODES 148-149, The Prime Numbers Trick, The Prime Counter Mersenne Primes KEY 100, 142 The Research Lab
Prince Rupert's Cube: EQEA 82
Profit: PSAUS 70-74
Proportion: FANG 30-31
Protractor: DMEAS 120-121, FANG 16-17
Pursuit curves: MMoE 44
Puzzles: DBB whole book, SUD, KAK, Dreaded Kjarposkos, Murderous Brainbending Puzzles also see "Sam Loyd" below
Pyramid: PSAUS 10, 146 What is the volume of a pyramid? With proof.
Pythagoras: MMoE 19-22, MM2 81-88 construction theorem proof SAVSH 148-159, EQEA 25-28, cut and paste theorem proof EQEA 26, How do guitar strings make different notes?
Quadratics: solving equations and formula PHX 53-66, PSAUS 138, Solving Quadratics by Completing the Square, Quadratic calculator
Radians: DMEAS 124
Ramsey Theorem: EQEA 127-129
Ratios: FANG 30-37, trigonometry FANG 59
Rectangle: formulas PSAUS 10-13 How to turn a Rectangle into a Square of the same area
Reducing fractions: MANDV 49-51
Regions: Surprising Regions Formula
Regular Solids: SAVSH 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
Richter Scale: Earthquake measurements
Right angle: MM1 72
Right angled triangles: MM2 81-88
Roman numerals: MM1 27-31
Rounding off: AWAR 145-152, MM1 126-129
RSA codes: CODES 145-157
Rubik's Cube: EQEA 83
Russian Peasant Multiplication: EQEA 17
Sam Loyd: The Sam Loyd Sliding Block Puzzle, Sam Loyd's Get Off The Earth Puzzle, Sam Loyd's Eight Queens Puzzle
Sampling: LUCKY 149-152
Scale: FANG 20-29
Scoville rating: Hotness of chilli pepper measurement
Sector: PSAUS 156
Segment: PSAUS 157
Semicircle: right angle SAVSH 12-13,
Semiperimeter: PSAUS 116
Set Square: FANG 17-18
Shadow Stick: DMEAS 66
Sierpinski's Triangle: MMoE 80
Sieve of Eratosthenes: MMoE 14, Sieve of Eratosthenes
Significant digits/figures: AWAR 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
Skewes' number: EQEA 125
Sky: Live Sky Map
Sohcahtoa: FANG 71
Space: size of moons, planets, stars MMoE 88-93
SPEED: PSAUS 38-60, MM2 61-73
Sphere: PSAUS 10, 170-172 packing into a box EQEA 150-151
SQUARE (shape): how to draw with ruler and compasses SAVSH 74-76, how to fold SAVSH 94, dividing a square into smaller squares all of different sizes EQEA 29.
SQUARE (x2): KEY 43-56
Square Pyramid Numbers: KEY 63-64, PSAUS 20
Square Roots: EQEA 18-22, 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, sizes of MMoE 93
Subtraction: AWAR 53-70
Sudoku: how many possible grids? SUD 122-127, The SUDOKU Prime
Symmetry: MM1 136-141
Tan: FANG 69-71, 45º FANG 94
Tangents: SAVSH 114
Temperature: DMEAS 169
Tessalation: SAVSH 88-91, MM1 19-21
Testing for factors: MANDV, KEY 108-111, Testing if numbers divide by 11, 7 or 13, The 11 Test
Tetrahedral Numbers: KEY 62-63, PSAUS 19, 90
Tetrahedron: PSAUS 148-149, SAVSH 121, 125, 127, 131, 133
Thales: SAVSH 12-13,
Think of a number tricks: PHX 79
Tic-tac-toe: 4-dimensional MMoE 53, 3D TTT
Time: DMEAS 158-167, see Speed, Acceleration, Pendulums
Times tables: AWAR 71-92
Topology: MMoE 38-42, bridge crossing and drawing problems MM2 136-145 fluid handcuffs EQEA 142-143
Torus: PSAUS 173-174, volume The Research Lab
Trancindental numbers: KEY 174-183
Trapezium: PSAUS 139-142, Calculating the Area of a Trapezium without the height!
TRIANGLES: SAVSH 39-65, formulasPSAUS 126-134 constructing FANG 38-45, sin area formula FANG 128-130
Triangle Numbers: MM2 123-130, KEY 54-56, PSAUS 17-18, 21, 89, MMoE 18, The link between Squared Triangle and Cube Numbers, KEY 64-65
Triangulation: FANG 133-136
Tricks: DBB, PHX 74-90, Professor Fiendish's Tricks and Games
Trigonometry: FANG (whole book), PSAUS 121
Trisecting an angle: MMoE 30
Unit fractions: PSAUS 192
Units of measurement: DMEAS 168-174, Some Unusual Units
Universe: size of EQEA 61
Vector: EQEA 69-72
Volume: measuring DMEAS 127-133
Wallpaper: Download your Murderous Maths Wallpaper for your computer desktop.
Waves: sin cos tan FANG 165-180
Weights: smallest number needed for balance scales EQEA 93-97
Y intercept (on graphs): PHX 135
Yahtzee: chances of throwing combinations MMoE 83, Play Yahtzee
Zero: invention of 0 MM1 35-36, impossible proof PHX 157
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