Number grid

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GCSE Maths Coursework (Intermediate)

Introduction

For my Maths Coursework I will be investigating a number plan (10x10) grid. The purpose of this exercise is to see if there is any connections between randomly selected number grids within the (10x10) number grid. when I randomly select the a number grid I will multiply the top left and bottom right and find the total and then do the same with the top right and bottom left after that I will subtract the two totals to find the difference. I will do this a couple of times to see if there is any pattern.

Here is the number grid that I will be working with throughout my investigation

Diagram 1                                               

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Types of number grids that I will be working with.

(2x2) = (2 rows x 2 columns)  4 numbers

(3x3) = (3 rows x 3 columns)  9 numbers

(4x4) = (4 rows x 4 columns)  16 numbers

I will begin my investigation by randomly selecting two (2x2) number grids. I will then multiply the top left by the bottom right of the (2x2) number grids and then multiply the top right by the bottom left, after that I will subtract the two totals to find the difference. if there ...

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