# The difference between T-Total and T-number

Extracts from this document...

Introduction

Atif Eshaque Kamal

T-TOTAL

INTRODUCTION

In this coursework. I will be investigating the difference between T-Total and T-number. I am going to do this by doing different grids and in different angles. Then I will compare them to see the difference and what is common in each one of them .I am going to draw a T-shape inside the grid. The number, which will be at the bottom on T, is called T-Number. Counting all the numbers inside T will give T-Total. I am going to show you by drawing grid and plotting which is T-Total and T-Number.

ALL THE NUM

IN THE T ARE

T-TOTAL

THIS IS T-NUMBER

##### INVESTIGATION

I am going to be investigating the grids and the T-shape inside the grid. Which I have drawn underneath. The things I will be investigating and finding out are the formula for each of the grid and checking the pattern and what is common things in the formula of each of the grid. I will also find the algebraic way of working the formula. Lastly I will move the T-Shape in different angles.

The grids below will help me in my investigation. From these grids I will find the pattern of the formulas and a common formula that goes in every grid which l have done below.

## GRIDS – 5

T NUMBER | T-TOTAL |

12 | 25 |

13 | 30 |

14 | 35 |

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 |

12 | 1 | 2 | 3 | 7 |

13 | 2 | 3 | 4 | 8 |

14 | 3 | 4 | 5 | 9 |

Numbers inside Tshape

T NUMBER | T TOTAL |

14 | 28 |

15 | 33 |

16 | 38 |

17 | 43 |

5 X 12 = 60 – 25 = 35 | FORMULA = 5N - 35 |

### GRID-6

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 | 32 | 33 | 34 | 35 | 36 |

Numbers inside T shape

14 | 1 | 2 | 3 | 8 |

15 | 2 | 3 | 4 | 9 |

16 | 3 | 4 | 5 | 10 |

17 | 4 | 5 | 6 | 11 |

5 X 14 = 70 – 28 = 42 | FORMULA = 5N - 42 |

##### GRID 7

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 | 32 | 33 | 34 | 35 |

36 | 37 | 39 | 40 | 41 | 42 | 43 |

43 | 44 | 45 | 46 | 47 | 48 | 49 |

T NUMBER | T TOTAL | |||||

16 | 31 | |||||

17 | 36 | |||||

18 | 41 | |||||

19 | 46 | |||||

20 | 57 |

Numbers inside T shape

16 | 1 | 2 | 3 | 9 |

17 | 2 | 3 | 4 | 10 |

18 | 3 | 4 | 5 | 11 |

19 | 4 | 5 | 6 | 12 |

20 | 5 | 6 | 7 | 13 |

5 X 16 = 80 – 39 = 49 | FORMUAL =5N - 49 |

### GIRD-8

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 | 32 |

33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |

41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 |

49 | 49 | 50 | 52 | 53 | 54 | 55 | 56 |

57 | 58 | 59 | 60 | 61 | 62 | 53 | 64 |

## T NUMBER | ## T TOTAL | ||||||

18 | 34 | ||||||

19 | 39 | ||||||

20 | 44 | ||||||

21 | 49 | ||||||

22 | 54 | ||||||

23 | 59 |

Numbers inside T shape

18 | 1 | 2 | 3 | 10 |

19 | 2 | 3 | 4 | 11 |

20 | 3 | 4 | 5 | 12 |

21 | 4 | 5 | 6 | 13 |

22 | 5 | 6 | 7 | 14 |

23 | 6 | 7 | 8 | 15 |

5 X 18 = 90 – 34 = 56 | FORMULA = 5N – 56 |

### GRID-9

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 | 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 | 61 | 62 | 63 |

64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 |

73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 |

T NUMBER | T TOTAL | |||||||

20 | 37 | |||||||

21 | 42 | |||||||

22 | 47 | |||||||

23 | 52 | |||||||

24 | 57 | |||||||

25 | 62 | |||||||

26 | 67 |

Numbers inside T shape

20 | 11 | 1 | 2 | 3 |

21 | 12 | 2 | 3 | 4 |

22 | 13 | 3 | 4 | 5 |

23 | 14 | 4 | 5 | 6 |

24 | 15 | 5 | 6 | 7 |

25 | 16 | 6 | 7 | 8 |

26 | 17 | 7 | 8 | 9 |

5 X 20 = 100 – 37 = 63 | FORMUAL 5N – 63 |

### GRID-10

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 | 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 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

61 | 62 | 63 | ...read more.
Middle
## CHECKING## GRID- 5
## GRID 6
## GRID 7
## GRID 8
## GRID 9
## GRID 10
I have done the checking and it shows that I have put in the correct formula that goes in each grid. I am going to investigate the pattern in formula and find the common number from the grids formula. Below are the T-Number and T-Total and the numbers. ## GRIDS – 5
Numbers inside T shape
GRID-6 Numbers inside T shape
## GRID 7
Numbers inside T shape
## GIRD-8Numbers inside T shape
## GRID-9Numbers inside T shape
GRID 10 Numbers inside T shape
## FORMULASGRID 5 = 5N - 35 GRID 6 = 5N - 42 GRID 7 =5N - 49 GRID 8 = 5N – 56 GRID 9 = 5N – 63 GRID 10 =5N – 70 PATTERN =35, 42, 49, 56, 63, 70 This shows that is it going up by 7 and it a multiple of 7. COMMON = 5N because they all start with 5N and it the difference is 5 as well. Conclusion
GRID 9 N + N-1 - N-2 – N-11 + N+7 (FORMULA=5N-7) GRID 10 N + N-1 - N-2 – N-12 + N+8 (FORMULA=5N-7) TURNING T RIGHT GRID 5 N + N+1 + N+2 + N+7 – N-3 (FORMULA=5N+7) GRID 6 N + N+1 + N+2 + N+8 – N-4 (FORMULA=5N+7) GRID 7 N + N+1 + N+2 + N+9 – N-5 (FORMULA=5N+7) GRID 8 N + N+1 + N+2 + N+10 – N-6 (FORMULA=5N+7) GRID 9 N + N+1 + N+2 + N+11 – N-7 (FORMULA=5N+7) GRID 10 N + N+1 + N+2 + N+12 - N-8 (FORMULA=5N+7) In the grids above I have used algebra in the T shape to show that I can do working out in algebraic form. The difference was that T shape was + (positive) and when T shape was turned upside-down was – (negative). When I turned T shape left and then right I found the formula that goes into both of the shapes was 5n-7.the only differences was that T shape which was turn left had a – (Negative) and the one turned was + (positive). FINDING THE W BY W GRID T SHAPE N – N-W – N-2W – N-2W-1 – N-2W+1 TURNING T UPSIDE DOWN N+ N+W + N+2W + N+2W+1 + N+2W-1 I have found that T shape and upside-down shape have the same w-by w formula that will give 5n-7w.Doing that formula I can work out and any number when I draw T shape and when I turn it up side down. TURNING T LEFT N + N-1 + N-2 + N+2+W + N-2+W TURNING T RIGHT N + N+1 + N+2 + N+2 – W + N+2+W 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
Read more
(The above preview is unformatted text)
## Found what you're looking for?- Start learning 29% faster today
- 150,000+ documents available
- Just £6.99 a month
## Looking for expert help with your Maths work? |