T- Total
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Look at the T-shape drawn on the 9 by 9 number grid.
The total of the numbers inside the T-shape is 1+2+3+11+20=37
This is called the T-total.
The number at the bottom of the T-shape is called theT-number.
The T-number for this T-shape is 20.
T
If you take the other numbers in the T-Shape away from the T-Number you get a T-Shape like this.
T-17
T-18
T-19
T-9
T
You will notice that the centre column of the T-Shape is going up in 9's because of the table size. With the table set out like this a formula can be worked out to find any T-Total on this size grid. This is done in the working below:-
T-total = T-19+T-18+T-17+T-9+T
= 5T-63
Now to test this formula to see if it works
For T-Total I will use the letter X
For the T-Number I will use the letter T
So X = 5T-63
T = 20
X = 5x20-63
= 100-63
= 37
Now I will do two more to check to see if it will work anywhere on the grid.
T=43
X=5x43-63 24+25+26+34+43=152
X=215-63
X=152
T=49
X=5x49-63 30+31+32+40+49=182
X=245-63
X=182
I have tested the formula for three different T-numbers and the formula works for a 9 by 9 grid.
The full formula for this size grid is:- X=5T-63
When trying to fine out the T-Total in a 6 by 6 number grid,
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62
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64
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67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
Look at the T-shape drawn on the 9 by 9 number grid.
The total of the numbers inside the T-shape is 1+2+3+11+20=37
This is called the T-total.
The number at the bottom of the T-shape is called theT-number.
The T-number for this T-shape is 20.
T
If you take the other numbers in the T-Shape away from the T-Number you get a T-Shape like this.
T-17
T-18
T-19
T-9
T
You will notice that the centre column of the T-Shape is going up in 9's because of the table size. With the table set out like this a formula can be worked out to find any T-Total on this size grid. This is done in the working below:-
T-total = T-19+T-18+T-17+T-9+T
= 5T-63
Now to test this formula to see if it works
For T-Total I will use the letter X
For the T-Number I will use the letter T
So X = 5T-63
T = 20
X = 5x20-63
= 100-63
= 37
Now I will do two more to check to see if it will work anywhere on the grid.
T=43
X=5x43-63 24+25+26+34+43=152
X=215-63
X=152
T=49
X=5x49-63 30+31+32+40+49=182
X=245-63
X=182
I have tested the formula for three different T-numbers and the formula works for a 9 by 9 grid.
The full formula for this size grid is:- X=5T-63
When trying to fine out the T-Total in a 6 by 6 number grid,
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