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• Level: GCSE
• Subject: Maths
• Word count: 1006

# Number Grid

Extracts from this document...

Introduction

Number Grid I have been given the following task: I will now carry out this investigation in four different parts. The 1st part includes 1 variable; which is the one given to me on the task sheet. I am going to investigate what the difference between the opposite products inside a square shaped box is. I will calculate the differences using the grid for 4 different sized square boxes and then put my results into a table. After doing this for all 4, I will look for a pattern with all my data and try to come up with a general formula which will give me my nth term. After getting my formula, I will predict an nth term using the formula and also calculate the differences using the grid and see whether my formula is correct. For the 2nd part of the investigation, I will be using 2 variables to extend the task further. ...read more.

Middle

Rectangles Multiple Grids Size, Shape and Multiple Conclusion In conclusion, I have found many formulas, either to do with the shape of the box inside the grid, the size of the main grid or the multiple of the main grid. While doing this investigation, I noticed a link between all of my formulas and therefore combined all of them together at the end to make one final formula containing 4 variables; the multiple of the grid, the size of the main grid, the length of the box inside the grid and the width of the box inside the grid. I noticed that there is a reason for every number in the formula to be there and investigated why that number was present and what would happen to that number if the circumstances changed. This means that I have done 3 extensions all together; ranging from 1 to 4 variables. ...read more.

Conclusion

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# Related GCSE Number Stairs, Grids and Sequences essays

1. ## What the 'L' - L shape investigation.

Therefore, the algebraic formula to calculate an L-Sum given the L-Number in a standard L-Shape in a 4 by 4 grid is: 5L -9 To prove my formula I am going to utilise the L-Shape, replacing the numbers with letters to prove the formula using any number in a 4 by 4 grid.

2. ## Number Grid Investigation.

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1. ## Maths - number grid

Chapter Two My initial investigation was looking at various squares randomly selected from the provided 10x10 grid. To make my investigation more interesting I am going to repeat my previous process except this time I will be using rectangles. I predict with rectangles that I will get a different result

2. ## number grid

and the product of the top right number and the bottom left number. So therefore I will multiply 'a' by 'a+22' and also I will multiply 'a+2' by 'a+20' and find the difference. Therefore: a(a+22) = a� + 22a (a+2)(a+20)

1. ## 100 Number Grid

+ 22 X + 23 X + 30 X + 31 X + 32 X + 33 Step 1. x (x + 33) Step 2. (x + 3)(x + 30) Step 3. (x2 + 33x + 90) - (x2 - 33x)

2. ## number grid investigation]

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1. ## number grid

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