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T-Total and T-Number
... the difference in the t-number and in this case it is 54. We then times the 54 by 5 because it rises 5 ever time the t- number goes up. Then we + the t-total from the original t-shape and ...
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Beam 82
... occurs when Shear Force = 0. Calculations for the distance where SF = 0 can be found below:
Shear Force at centre = 11.25 KN
Distance of Mmax from centre (z):
Total weight acting down over length z = 11.25
Therefore:
(1/2z x 12z) + ...
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have been asked to find out how many squares would be needed to make up a certain pattern according to its sequence
... 3 + 5 + 7 + 5 + 3 + 1 = 25
1 + 3 + 5 + 7 + 9 + 7 + 5 + 3 + 1 = 41
If you notice in my prediction there is a pattern ...
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I have decided to carry out a simulation on a real life situation. A simulation is the imitation of of the operation of a system. This simulation is more or less the study of outcomes mostly affected by chance. These are called Monte Carlo methods.
... results that would be used to make the random numbers.
I carried out the experiment on the shop with the following assumptions: -
* I would start at time 0.
* There are no people in the queue at the starting.
* Both ...
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In this investigation I will be looking at the relationship between the T-total and the T-number with simple drawings and try to identify a general rule.
... of results that the T-total is increasing by 100 every time you add 20 to the T-number.
Prediction
I predict that the next T-total will be 337 and the T-number will =80.
My prediction is already included on the 9x9 grid it is ...
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To Investigate numbers in a letter T drawn on a grid ranging from 6 by 6to 9 by 9.
... the T-Number.
T
If you take the other numbers in the T-Shape away from the T-Number you get a T-Shape like this.
T-19
T-18
T-17
T-9
T
T-total = T-19+T-18+T-17+T-9+T
= 5T-63
Now to test this formula ...
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C Totals Investigation.
... go up in 5's as I slide the C's sideways because when the T numbers: 7 and 2 are both taken away from each other: 7-2 =5
1
2
10
19
20
N=20
T=1+2+10+19+20=
52
2
3
11
20
21
N=21
T=2+3+11+20+21=
57
3
4
12
21
22
N=22
T=3+4+12+21+22=
62
4
5
13
22
23
N=23
T=4+5+13+22+23=
67
5
6
14
23
24
N=24
T=5+6+14+23+24=
72
6
7
15
24
25
N=25
T=6+7+15+24+25=
77
A TABLE SHOWING MY RESULTS...
N
20
21
22
23
24
25
T
52
57
62
67
72
77
+5 +5 +5 +5 +5
I can see that my prediction was right ...
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Sliding Puzzle Maths Investigation
... Once I had all my pieces I decided I should keep a data log as I progress through this work noting down what I have done and if I have encountered any problems.
To do the investigation I cut out square ...
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'@T-Total
... the T-Total, and T-Numbers on the grid of different sizes.
Grid 1: 9 by 9 - Across ( )
In the T below, I noticed that the number at the end of the T (the T-Number) was 20. I will now go ...
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'T' Totals Investigation.
... = 147
Formula to find 'T' Total (T) if you have the 'T'? (X) in a 9x9 grid:
=5X-63
Now I have solved the first problem I am going to further my investigation and vary the grid sizes. I am going to use ...
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3 Step Stairs
... 3 step stairs, the formula would be:
n = 50 + ( ( s x r ) + ( 10s x u ) )
By using the same method as before, I can work out the formulas for the other positions of ...
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A dark cross-shape has been surrounded by white squares to create a bigger cross-shape. The next cross-shape is always made by surrounding the previous cross-shape with small squares.
... gather preliminary data.
Two Dimensional Investigation
Investigating the 2D formula
I am going to start by building a 1x1 cross-shape and adding on the borders. The complete shape will be known as the cross-shape (this includes the border squares). The diagram for this ...
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A dark cross-shape has been surrounded by white squares to create a bigger cross-shape. The next cross-shape is always made by surrounding the previous cross-shape with small squares. Investigate to see how many squares
... gather preliminary data.
Two Dimensional Investigation
Investigating the 2D formula
I am going to start by building a 1x1 cross-shape and adding on the borders. The complete shape will be known as the cross-shape (this includes the border squares). The diagram for this ...
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Adam Taylor
... looked at the T - Number value and times it by the gap which is 5 and then subtracted by the first T-number to get the gap which in this case was 63.
Prediction
I predict that when the t - number ...
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Amazing Plants - Maths Coursework.
...
6
7
8
So on day one ...
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Aunt Lucy Maths Investigation
... least money and Scheme C making the most.
Results
My Results show what happened in the three five year periods of all four Schemes.
P.T.O.
Scheme A Years 1 - 5
Number of Years
Annual Scheme Income
Total
1
£100
£100
2
£90
£190
3
£80
£270
4
£70
£340
5
£60
£400
Scheme A Years 6 - 10
Number of Years
Annual Scheme Income
Total
6
£50
£450
7
£40
£490
8
£30
£520
9
£20
£540
10
£10
£550
Scheme A Years 11 ...
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Black and white squares
... 60
The black squares
I would have take in to thought, that the black squares of a pattern equal the total number of squares in the previous pattern, this helps in the search of a formula.
We also know that the difference between ...
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Border sequences
... each number of squares in each
row to find the total I could use a special method:
2[sum of n consecutive odd no's] + 2n + 1
For example:
Shape no. 2 ~ 2[ 1 + 3 ] + 2 x 2 + ...
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Borders - Investigation into how many squares in total, grey and white inclusive, would be needed to make any cross-shape of this kind
... and white squares, an equation can be found to express in terms of N the total number of squares, inclusive.
5 13 25 41
8 12 16
4 4
This shows there is a relation, and the formula produced will be a quadratic in the ...
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Borders Coursework
... 12 = 25
4 25 16 25 + 16 = 41
WHY?
This happens because you are simply adding on to this. This could be a useful fact in searching for a formula.
I am now going to investigate any differences between the totals.
First ...
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Borders Coursework
... to n2. This is because as the length of the two dimensional shape increases, its area increases in proportion to length2.
Finding the n th term for black squares:
Formula: an² + bn + c
1 1 5 13 25 41
0 4 ...
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Cash flow forecast.
... my total receipts were £3170.00. As the months went on the total receipts increased due to the service becoming more popular thanks to word of mouth and P.R. In the second quarter it had increased to £4,110.00, in the third ...
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Compile a report which will look at, and assess the performance of sales generated by the company DVD Sales
... provided was analysed through the use of the Minitab 14, by creating graphs, charts and descriptive statistics. These features were used to look at and analyse the data and other factors.
3.0 STATISTICAL ANALYSIS
This report will look at, and analyse the ...
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Connect 4 - Maths Investigation.
... the difference method if the 1st difference is the same you multiply it by the number in the sequence in this case the length (L). After multiplying the length by 7 you work out how much has to be taken ...
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Decision and Discrete.
... of staff serving behind the one server.
I noted the arrival and serving times of 50 people. To make a start to the piece of coursework, I have noted down the arrival times and the start of the serving time and ...