| Introduction | |
| Matchstick triangles | |
| A tricky river crossing | |
| The baffled engine driver | |
| Make your own dice | |
| Map folding | |
| The ingenious milkman | |
| Pawns on a chessboard | |
| Avoid three (a game for two players) | |
| Two halves make a whole | |
| Cubism | |
| Matchstick squares | |
| Curves of pursuit (a geometric construction) | |
| The misguided missiles (an extension of 12) | |
| Pattern | |
| The army's predicament | |
| The farmer's sheep-pens | |
| The knight's dance | |
| The railway sidings | |
| The multi-coloured cube | |
| The jealous husbands | |
| The extension lead | |
| Hex (a game for two players) | |
| The square, cross and circle | |
| The M÷bius band (a practical activity) | |
| The economical gardener | |
| How many triangles can you see? | |
| The unfriendly power-boats | |
| The knight-guards | |
| Reserving the trains | |
| Quadruplets | |
| Complete the square | |
| Roll a penny | |
| The growing network (a game for two players) | |
| Traversibility | |
| Impossible rotations! | |
| The hunter | |
| Four points in a plane | |
| The letter dice | |
| The queen's defence | |
| Seeing is believing | |
| Inspecting the roads | |
| Dominoes on a chessboard | |
| Zigzag (a game for two players) | |
| Knight's tours | |
| Sawing up a cube | |
| The improbable hole | |
| Identical twins | |
| The four-colour theorem | |
| Mystifying matchsticks | |
| Equilateral triangle to square | |
| Squaring the urn | |
| The baffled housewife | |
| Invert the triangle | |
| Avoid that snooker | |
| Squares (a game for two players) | |
| The hungry bookworm | |
| Place the motorway junction | |
| Space filling | |
| Curves from intersecting circles (attractive geometrical constructions) | |
| A lover's ultimatum! | |
| Only four lines | |
| How fast can you cycle? | |
| The bob-sleigh run | |
| Know your vowels | |
| Games on a pegboard for one to play | |
| Two of a kind | |
| Colouring a cube | |
| Problems of single line working | |
| Two at a time | |
| Heads and tails | |
| Square a Greek cross | |
| The fuel delivery | |
| Fair shares | |
| Coin magic | |
| The persistent frog | |
| Tidy that bookshelf! | |
| Cutting up a circle | |
| Square relations | |
| The numerate gardener | |
| Magic triangles | |
| Number patterns | |
| Surprising subtractions | |
| How large a number can you get? | |
| Four 4s | |
| What was the sum? | |
| Calculator words | |
| A calculator crossword | |
| A mining bonanza | |
| Hundreds, tens and units | |
| Magic circles | |
| Prelude to a marathon | |
| Find the digits | |
| Dr Numerati's telephone number | |
| Make a century | |
| Number wheels | |
| Some calculator challenges | |
| Division patterns | |
| Some named numbers | |
| Magic stars | |
| Safety first | |
| The gambler's secret strategy | |
| The transportation problem | |
| Further number patterns | |
| Pythagorean triads | |
| Intriguing multiplications | |
| A magic diamond | |
| Palindromic dates | |
| 'Mind reading' number cards (a number trick to make and use) | |
| 3 x 3 magic squares | |
| 4 x 4 and higher order magic squares | |
| A magic cube | |
| A question of balance | |
| Further calculator challenges | |
| A weighing problem | |
| Similar rectangles | |
| Designing a new dartboard | |
| The only magic hexagon | |
| Nim (a game for two players) | |
| Triangulating a square | |
| Who is 'it'? | |
| Find the cards on the table | |
| Dividing the inheritance | |
| The end of the world! | |
| The sponsored marathon | |
| The effect of inflation | |
| Octogenarian occupations | |
| Tails up! | |
| Dovetailed | |
| More matchstick mindbenders | |
| Bridging the river | |
| Table of Contents provided by Publisher. All Rights Reserved. |