# Magic E coursework

Extracts from this document...

Introduction

Magic E

Aim

- To find the E total on a 10x8 grid.
- To find a formula to find the sum of the numbers in an E-shape on any width grid
- 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

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

Conclusion

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

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56

57

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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.

This student written piece of work is one of many that can be found in our GCSE T-Total section.

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