Contents -- Acknowledgements -- Introduction -- 1 A Tale of Two Numbers -- 2 Acting Your Age? -- 3 Arc Drawings -- 4 Area of a Triangle -- 5 Bearings -- 6 Beat the Calculator! -- 7 Being Human -- 8 Being Irrational -- 9 Building a Wall -- 10 Cake-Cutting Contest -- 11 Circle Theorems -- 12 Circular Argument -- 13 Congruence -- 14 Connect Four -- 15 Constructions -- 16 Counting Squares -- 17 Cutting a Square -- 18 Equable Sectors -- 19 Equivalent Fractions -- 20 Factorizing Quadratics -- 21 Fill it Up! -- 22 Fly on the Wall -- 23 Functions -- 24 Golden Rectangles -- 25 Graphical Linear Inequalities -- 26 Graphical Solutions of Equations -- 27 Histograms -- 28 Identities -- 29 Indices -- 30 Inverse Functions -- 31 Kim's Game -- 32 Many Faces -- 33 Maximum Product -- 34 Monkeying Around -- 35 Odd Ones Out -- 36 Ordering Fractions -- 37 Percentage Increases and Decreases -- 38 Pint Cone -- 39 Polygon Areas -- 40 Prime Numbers -- 41 Prime-Generating Formulae -- 42 Probability Pi -- 43 Properties of Circles -- 44 Proportionality -- 45 Pythagoras' Theorem -- 46 Quadratic Probabilities -- 47 Quadratics in Disguise -- 48 Radical Equations -- 49 Randomness -- 50 Rationalizing Denominators -- 51 Recurring Decimals -- 52 Reverse Percentages -- 53 Rounding -- 54 Set Theory -- 55 Similarity -- 56 Simpson's Paradox -- 57 Solving Quadratic Equations -- 58 Straight-Line Graphs -- 59 Surds -- 60 Surface Area and Volume of a Cuboid -- 61 Surface Area and Volume of a Sphere -- 62 Tetraphobia -- 63 The Cosine Rule -- 64 The Sine Rule -- 65 Throwing a Coin -- 66 Trial and Improvement -- 67 Trigonometry -- 68 Twenty Questions -- 69 Vectors -- 70 Winner Takes All! -- Other Resources -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.