• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2

# T-Total Investigation

Extracts from this document...

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

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

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

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

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related GCSE T-Total essays

1. ## T-total Investigation

30 and used the formula 5 x 30 +7 = 157 For me to make sure it was right I counted all the numbers in the T to check if it totaled to 157. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

2. ## T totals. In this investigation I aim to find out relationships between grid sizes ...

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

1. ## Maths Coursework T-Totals

- (2 x 9) T= 70 - 18 T=52 In addition, the T-Total by hand is; T= 4 + 5 + 6 + 14 + 23 T= 52 Thus proving this method on a grid with of 9. We now need to try it on a grid width of 6

2. ## I am going to investigate how changing the number of tiles at the centre ...

Prediction I can use my pattern formula to predict how many border tiles I would need for any pattern number, with 4 centre tiles. To test this hypothesis I will draw a larger diagram and count the outer border tiles to check my formula.

1. ## 'T' Totals Investigation.

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 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

2. ## Number Stairs Investigation

63 64 91+81+71+61+82+72+62+73+63+64 = 720 Both my predictions and formula were correct, I can now produce a graph to show the relationship between x and Tx with 4-step stairs. I am now investigating the formula for 5-step stairs on a 10 x 10 grid.

1. ## T-Shape Investigation.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 The first T-shape (blue outline) T- Total is 1+2+3+8+14 = 28 The T- Number of this T-shape is 14 The second T-shape (red outline)

2. ## The T-Total Mathematics Coursework Task.

63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to