To view the problem statement, double click on the problem title. This will open up the problem in a new window. From there, you can download the full problem-and-solution Word document.

Examples
Page Ref |
Problem
Title |
Objectives
Ref |
Description |
Key Words |

113 | Input Output | Express Relationships | Describe the rule connecting the dual Inputs to the Output | Symbols, Mapping, Table, Relationship, Function |

87, 115 | Brackets | Order of operations, Brackets | The difference that the placing of brackets makes! | Brackets, Associative, Commutative |

123 | Bad Dog! | Construct and solve simple equations | Cheery the Dog has just swallowed Sweety the Cat - how heavy were they each beforehand?! | Like Terms, Solve, Equation |

114, 150, 158 | The
Sum of r ^{3} |
Formulae, Proof | 1^{3}
+ 2^{3} + 3^{3} ... from a really simple diagram |
Formulae,
T_{n}, Predict, Verify |

117 | Three Numbers | Simplify expressions | Find the original numbers, given the sums of the three taken in pairs | Simplify, Solve, Equation |

55, 117, 121 | Prime Time | Algebraic expressions, Proof | Can you show that all Primes are of the form '6n+1' or '6n-1', no squares divided by 5 give remainder 2 or 3 etc? | Formula, General term |

105, 110, 120 | Large Perfect Squares | Algebraic expressions, Calculations | This is based on the idea of squaring a bracket and the first few problems would be a nice 'long' multiplication revision puzzle | Partition, Multiply out, Square, Verify |

109, 161 | Funny Functions | Functions, Complex calculations, | Analyzing the Calculator functions 'SQRT' and 'INT', looking at associativity etc | Brackets, Associative |

123, 127 | High But Friendly Simultaneous Equations | Linear Equations, Elimination | Simultaneous equations in 5 unknowns ... but easy to guess their relative sizes and hence solve (honest!) | Unknown, Expression, Substitute, Solution |

125, 139, 151 | How Hot Is That? | Linear Equations, Formulae, Graphs, Spreadsheets | How good is F =2C+30 at approximating temperature conversions? | Substitute, Formulae, Equation |

53, 145 | Factor Squares | Prime Factors, Sequences | Does the sequence 6, 12, 24,... contain any square numbers? | Prime factor decomposition |

149 | Parking Meters | Sequences, Spreadsheets | A mixture of dollars and quarters make up $29.50 - how many coins of each type, 43 in total? | Calculate, Sequence |

154, 262 | The Knockout Tournament | Sequences, Organizing Data | How many games are needed in a tournament for 100 teams? How many byes etc? | Predict, Generate, Verify |

30, 144 | Shelf Tidying | Sequences, Justify methods | How quickly can you put the Star Trek videos back in order? | Sequence, Proof |

155 | Pick A Shape | Generate sequence, Find nth term | Pick's Theorem for Areas on a dotty grid | Formula, Generate Tn, Proof |

149, 161 | Toffee Maths | Function, Linear sequence | A fold-on-itself process that shows up the nature of 'Chaos', using a simple iterative function | Flow chart, Transform, Mapping |

161, 165, 203 | Graphic Convergence | Linear Equations, Elimination | A mapping for x and y sends points to a convergent 'invariant point' - nice, visual, algebraic exercise | Unknown, Expression, Substitute, Solution |

173, 81,193 | Leg It | _{Ratios,
Travel graphs, Similar Triangles} |
_{Two
runners are racing over 100m - how much start (or handicap) is needed to
make the race a 'fair' one?} |
_{Distance,
Time, Speed, Ratio} |

173, 81,193 | Lap Times | Ratios, Travel graphs, Similar triangles | _{Two
friends are running round a track at different speeds - how often do they
pass each other?} |
_{Distance,
Time, Speed, Ratio} |

175 | Die Hard | Graphs, Sequencing | The old Jugs problem, with a 'graphical' hint | Coordinates, Graph, Sequence |