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

T-Total Investigation

Extracts from this document...


Maths Coursework – T-Total

I have looked at the T-Number and I called it N. Then I saw how much difference there was between the T-Number and the other numbers in the T. when I did this the numbers came out like this:        20, 20-9, 20-19, 20-18, 20-17. These sums when added together will come out with the T-Total. The T-Total is 37. I have tried out this method with other T-Numbers and the results ended up like this.

T-Number                T-Total

  1. 37
  2. 42
  3. 47
  4. 52
  5. 57
  6. 62
  7. 67
  8. 72
  9. 77
  10. 82

This rule showed a pattern. The next T-Total has 5 added to it. This means that there has to be a 5 in the algebraic rule. Because there are 5 squares in a T the 5 in the rule will be 5N. 5N for the first T-Number is 100. To get to the proven T-Total for this T-Number I have to minus 63. So the rule for this T-Number is 5N – 63. I will now test whether this rule works for the other


...read more.


22, 22-10, 22-20, 20-21, 20-19. This ends up minusing 70 from the 5N.The final T-Total now is 40. I will now try this for other T-Numbers. 5 times 25 is 125, then minus 70 is 55. I tested this and it is correct. 5 times 26 is 130 then minus 70 is 60. This is correct aswell.

The Nth Term for finding out the T-Total on a 10x10 grid is 5N – 70.

I will now try on an 8x8 grid. I will start off with the T-Number 30. 30 times 5 is 150. Now I will do the same as before to get the T-Total. 30, 30-8, 30-16, 30-17, 30-15. Now I have to minus 56. This comes out with 94. I added up the numbers and they do equal 94. I tried this for other T-Numbers and it worked.

The Nth Term for finding out the T-Total on an 8x8 grid is 5N – 56.

I have looked at all of the Nth Terms and I can see a pattern. The number needed to minus to get the T-Total is related to the grid size. The grid size times 7 equals the number. 7x8=56. 7x9=63. 7x10=70.

...read more.


The Nth Term for the T on its side facing left on a 9x9 grid is 5N + 7.

I will now try it on a 10x10 grid facing right with the T-Number 13. 13, 13-1, 13-2, 13-12, 13+8. It is again 5N – 7. So I predict that it will be the opposite for the facing left. I will test it with the T-Number 15. 15, 15+1, 15+2, 15+12, 15-8. It does come out as 5N + 7.  Because the rule is the same for the grid sizes 9x9 and 10x10 grid that it will be the same again for the grid size 8x8. I will now test it with the T facing left with the T-Number 9. 9, 9+1, 9+2, 9-6, 9+10. This adds up to 5N + 7. Now I will try it facing right with the T-Number 11. 11, 11-1, 11-2, 11+6, 11-10. I adds up to 5N – 7 again.

The overall Nth Term for the T on its side facing left on is 5N + 7.

The overall Nth Term for the T on its side facing right on is 5N - 7.

...read more.

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

See related essaysSee related essays

Related GCSE T-Total essays

  1. T-Total Maths

    Formula: T=5N+7 I tested that when: T-number=54 T-total=357 Below is a T-shape, and in each cell how number is connected with T-number on a 9 by 9 number grid. To prove the formula: T= N+N-1+N-10+N-2+N+6 T= 5N+7 How the formula works there are some example shown in below are: Formula:

  2. T-total Investigation

    I placed the T on the first part of the 9by9 grid. 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

  1. Urban Settlements have much greater accessibility than rural settlements. Is this so?

    to the entire borough. South Darenth is very self-contained, with its own parade of shops, and although Bexley has these facilities, it is so big they cannot handle all the residents on their own. This may be why most buses terminate at Bexleyheath, because Bexleyheath has its own Shopping Mall.

  2. Maths GCSE Coursework – T-Total

    +3 or -2) and g is the grid width. In terms of the T-Number (x) instead of v, Any horizontal translation can be found by t=(5(x+g)-2g)+5a, were x is the T-Number, a is the figure by which the T-Shape is translated (e.g. +3 or -2) and g is the grid width. Combinations (diagonal)

  1. T-Shapes Coursework

    = = [Sum of Tail] = n + g + n + (g + g) + ... + n + (gl - g) + n + gl n + gl + n + (gl - g) + ... + n + (g + g)

  2. In this section there is an investigation between the t-total and the t-number.

    You could say that the magic number for this piece of coursework is seven. Like they have a magic number in the bible that is 12. If there are formulas for rotation then surly there is for reflection. Here I have simply only done one type of reflection just to prove that reflection actually works.

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

    24 25 26 27 Firstly, we can see our T-Shape (with a T-Total (t) of 52), then a rotation of our T-Shape, rotated 90 degrees clockwise, with v (14), as it's center of rotation, this shape a T-Total of 72.

  2. Maths Coursework T-Totals

    Therefore, we can state that, As a T-Shape is translated horizontally by +1 on a grid width (g) of 9 the T-Total (t) is +5 larger than the previous T-Total (t) (the origin) It is obvious we can also state that: As a T-Shape is translated horizontally by -1 on a grid (g)

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