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Magic E coursework

Extracts from this document...

Introduction

Magic E

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

...read more.

Middle

n

n+1

n+2

n+9

9x10 grid sample

n+18

n+19

n+20

n+27

n+36

n+37

n+38

n

n+1

n+2

n+8

10x10 grid sample

n+16

n+17

n+18

n+24

n+32

n+33

n+34

 This also works with all other grids. The number added on in the cell underneath the nth

...read more.

Conclusion

n class="c7">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

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

1+2+3+11+21+22+23+31+41+42+43=240

(11x1)+(22x10)+9=240

This shows the formula and proves that it works.

...read more.

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