# Investigation of T-Shape.

Extracts from this document...

Introduction

Investigation of T-Shape:

This is a grind9 by 9, and there is at shape in the grind which is highlighted in colour red. It is called t-Shape.

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |

10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |

19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 |

28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 |

37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 |

46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 |

55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 |

64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 |

73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 |

The number 20 at the bottom of the t-shape is called t- number (n), all the numbers

Middle

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81

As you see when t-number goes up 1 the t-total goes up 5

So, ratio of t-number and t-total is 1 : 5

Another way to work out the t-total is by formula

n-19 | n-18 | n-17 |

n-9 | ||

n |

So, total=n+(n-9)+(n-17)+(n-18)+(n-19)

=5n-63

So, t=5n-63, when t is

Conclusion

Now here is an example of using the formula ( 5n – 63 = t-total )

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |

10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |

19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 |

28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 |

37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 |

46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 |

55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 |

64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 |

73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 |

5 * 25 – 63 = t-total

5 * 25 – 63 = 62

Check the answer

t-total = 6 + 7 + 8 + 16 + 25

=62

This formula works

This student written piece of work is one of many that can be found in our GCSE T-Total section.

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