
Look at the Tshape drawn on the 9 by 9 number grid. The total of the numbers inside the Tshape is
1 + 2 + 3 + 11 + 20 = 37.
This is called the Ttotal
The number at the bottom of the Tshape is called the Tnumber. The Tnumber of this Tshape is 20.
Translate the Tshape to different positions on the grid. Investigate the relationship between the Ttotal and the Tnumber.
Mr M.Wiseman


Hi,
Suppose that you place the Tshape on the grid in some position. Suppose that the Tnumber is N. The number in the T, directly above the Tnumber is then 9 places back in the grid so it is N  9. The number directly above this number is then N  9 9 = N  18. The two remaining numbers in the Tshape are N  18 + 1 and N  18  1. Thus the Ttotal is
N + (N  9) + (N  18) + (N  18 + 1) + (N  18  1)
= 5N  63
Cheers,
Penny
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