E-Shape
Aim
1. To find the E total on a 10x8 grid.
2. To find a formula to find the sum of the numbers in an E-shape on
any width grid
3. To discover other ways to alter my investigation.
1. E total= 196 E1=196
2. 5 6 7
9
17 18 19
25
33 34 35 The red is the E number
Etotal= 240
(11E)+185= E total
25 26 27
33
41 42 43
44
57 58 59
(11x25)+185= 460 E total= 460
The E number is the top left hand number in the E.
E+1 E+2 E+3
E+8
E+16 E+17 E+18
E+24
E+32 E+33 E+34
This is my formula for any E on a 10x8 grid.
To find the E total you must add up all the numbers in the E for the
formula to find the E Total in the grid (E+1, E+2 etc.)
All the numbers in the E add up to 185 and there are 11 squares in the
E, then times the E number by 11 and add 185, then you get the E total
of any E on a 10x8 grid.
E=5
5+(5+1)+ (5+2) + (5+8) + (5+16) + (5+17) + (5+18) + (5+24) + (5+32) +
(5+33) + (5+34).
I will change my investigation around to find a new formula, I have
thought of some different ways to change my investigation:
· Changing the width of the grid
· Changing the height of the grid
· Changing the width of the “E”
· Changing the height of the “E”
I have decided to change my investigation by changing the width of the
grid to 10x9 (after I have found out the formula I shall increase the
width by 1 each time).