**A series of investigations.**

**Get out your pen and paper and see if you can solve these problems.**

Investigation 1 |
A problem involving areas and volumes. | |

Investigation 2 |
An optimisation problem involving area and perimeter. | |

Investigation 3 |
A look at the graphs of the trigonometrical functions: | |

Investigation 4 |
Some trigonometry and geometrical thinking required! | |

Investigation 5 |
More trigonometry and geometrical thinking required! | |

Investigation 6 |
Lots of fractions, distance, speed and time. | |

Investigation 7 |
Ratio and proportion for circles. | |

Investigation 8 |
Geometry and patterns | |

Investigation 9 |
Number work and patterns | |

Investigation 10 |
Percentages and formulae | |

Investigation 11 |
Combinations and patterns | |

Investigation 12 |
A theory about prime numbers |

**No answers are provided for some of these investigations as they are often open - ended with no definite answers.**

**Have fun!**