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T-Total Investigation

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Introduction

Jemma Turner26th April 2002

T-Total Investigation

Aim

To find a link between the t-number and the t-total by translating the position of the t-shape on a 9 x 9 grid.

T-Number

...read more.

Middle

78

79

80

81

I.e. in the grid above, the t-number is 20.

T-Total

The T-total is the number after adding up the contents of the t-shape. In this case, it’s 37, because 1+2+3+11+20 = 37.

T-Shape

The t-shape is a shape of the portion of numbers to use. It’s been highlighted on the grid for you.

1

2

3

10

11

12

19

20

21

I have noticed that the difference between the t-number and the number above it is always 9. This is also the width of the square.

T-Number

T-Total

20

37

21

42

22

47

23

52

24

57

...read more.

Conclusion

colspan="1" rowspan="1">

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

12

13

21

22

23

I have noticed that the difference between the t-number and the number above it is now always 10. This is the width of the square.

1

2

3

11

12

13

21

22

23

1+2+3+12+22 = 40

Let’s try my earlier discovered method.

(5x22) – (7x10) =

110 – 70 = 40

Therefore…

5N - 7W = t-total

Conclusion

...read more.

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

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