Mathematics Coursework - T-totals

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GCSE MATHEMATICS COURSEWORK

T-totals

10/3/'02

Jonathan Briggs

INTRODUCTION

Introduction

The question I have been asked has been set in three parts. The question is about T-shapes on different grids. The bottom number in the T is called the T-number the T-number is the largest number in the T-shape. All the numbers in the T-shape added together are called the T-total. In the whole of the coursework you are not allowed to expand the T-shape but you are allowed to turn it around.

In part 1of my coursework I am asked to investigate the relationship between T-totals and T-numbers. At the moment I do not have any notion how the T-total could be calculated in a standard way or of the relationship between the T-number and the other numbers in the T-shape. I did know that they had to be related because they were all numbers with in a sequence. I also knew that the T-total would depend on: ~

* The position of the T-shape on the grid;

* The size of the T-shape (for the purpose of this exercise the T-shape is fixed with only five numbers);

*