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# Squares and columns Investigation

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Introduction

Maths Coursework The investigation which I have decided to do is the squares and columns, task 1. First I am going to select a 2 x 2 square which is inside a square of 5 x 5 and find the formula. All numbers on the top left of each coloured box are called the name of the square. I will get the sum of the squares by adding the numbers up inside each coloured square. Square names 1 2 3 4 5 Name of square Sum 6 7 8 9 10 1 (1+2+6+7) = 16 11 12 13 14 15 2 (2+3+7+8) ...read more.

Middle

The formula for the 2 x 2 square Step size 4n + ? = 36 4 x 6 = 24 + ? = 36 ? = 12 To prove that the formula is correct I will do the next two squares in the sequence numbers 8 and 9. Square name 8 4 x 8 = 32 32 + 12 = 44 Square name 9 4 x 9 = 36 36 + 12 = 48 I am now going to do a 3 x 3 square inside a 5 x 5 square and get the formula. 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 Name of square Sum 1 (1+2+3+6+7+8+11+12+13) ...read more.

Conclusion

= 36 4 x 6 = 24 + ? = 36 ? = 12 To prove that the formula is correct I will do the next two squares in the sequence numbers 8 and 9. Square name 8 4 x 8 = 32 32 + 12 = 44 Square name 9 4 x 9 = 36 36 + 12 = 48 I am now going to do a 3 x 3 square inside a 5 x 5 square and get the formula. 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 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 ...read more.

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