# T-Total Investigation

Extracts from this document...

Introduction

Jemma Turner26th April 2002

T-Total Investigation

## Aim

To find a link between the t-number and the t-total by translating the position of the t-shape on a 9 x 9 grid.

## T-Number

Middle

79

80

81

I.e. in the grid above, the t-number is 20.

## T-Total

The T-total is the number after adding up the contents of the t-shape. In this case, it’s 37, because 1+2+3+11+20 = 37.

## T-Shape

The t-shape is a shape of the portion of numbers to use. It’s been highlighted on the grid for you.

1 | 2 | 3 |

10 | 11 | 12 |

19 | 20 | 21 |

I have noticed that the difference between the t-number and the number above it is always 9. This is also the width of the square.

T-Number | T-Total |

20 | 37 |

21 | 42 |

22 | 47 |

23 | 52 |

24 | 57 |

Conclusion

43

44

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46

47

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52

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100

1 | 2 | 3 |

11 | 12 | 13 |

21 | 22 | 23 |

I have noticed that the difference between the t-number and the number above it is now always 10. This is the width of the square.

1 | 2 | 3 |

11 | 12 | 13 |

21 | 22 | 23 |

1+2+3+12+22 = 40

Let’s try my earlier discovered method.

(5x22) – (7x10) =

110 – 70 = 40

Therefore…

5N - 7W = t-total

Conclusion

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

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