Matthew Russell Maths Coursework

T-Total

Using a 9 by 9 grid, a 'T' shape was made covering 5 numbers. The grid is shown below.

2 3 4 5 6 7 8 9

0 11 12 13 14 15 16 17 18

9 20 21 22 23 24 25 26 27

28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45

46 47 48 49 50 51 52 53 54

55 56 57 58 59 60 61 62 63

64 65 66 67 68 69 70 71 72

73 74 75 76 77 78 79 80 81

All the numbers in this 'T' shape added together make a total of 37,

(1+2+3+11+20=37). This total is known as the "T-total". The number at the bottom of this T-shape (20) is known as the T-number.

To investigate if there was any relationship between the T-total and the T-number, the T-shape was translated onto different positions on the grid.

2 3 4 5 6 7 8 9

0 11 12 13 14 15 16 17 18

9 20 21 22 23 24 25 26 27

28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45

T-Total

Using a 9 by 9 grid, a 'T' shape was made covering 5 numbers. The grid is shown below.

2 3 4 5 6 7 8 9

0 11 12 13 14 15 16 17 18

9 20 21 22 23 24 25 26 27

28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45

46 47 48 49 50 51 52 53 54

55 56 57 58 59 60 61 62 63

64 65 66 67 68 69 70 71 72

73 74 75 76 77 78 79 80 81

All the numbers in this 'T' shape added together make a total of 37,

(1+2+3+11+20=37). This total is known as the "T-total". The number at the bottom of this T-shape (20) is known as the T-number.

To investigate if there was any relationship between the T-total and the T-number, the T-shape was translated onto different positions on the grid.

2 3 4 5 6 7 8 9

0 11 12 13 14 15 16 17 18

9 20 21 22 23 24 25 26 27

28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45