Table Patterns Essay, Research Paper

Table Patterns Q1.

For the first portion of this probe into table forms I am

traveling to see what happens when you add the two Numberss in opposite corners of

squares which have a side 3 ( which are drawn around nine Numberss ) . Then I will

look into what happens when you subtract the smaller reply from the larger

reply. After this we will take this probe farther. The squares are

taken from the following? Multiplication Tables Grid? . X 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 16 20 24 28 32 36 40 5 5 10 15 20 25 30 35 40 45 50 6 6 12 18 24 30 36 42 48 54 60 7 7 14 21 28 35 42 49 56 63 70 8 8 16 24 32 40 48 56 64 72 80 9 9 18 27 36 45 54 63 72 81 90 10 10 20 30 40 50 60 70 80 90 100 Example: Add the two Numberss in the opposite corners. 8 10 12 12 15 18 16 20 24 8+24=32

and

12+16=28 Now, deduct the smaller reply from the

larger reply. 32-28=4 Now, I will look into this theory three times by picking

out random figure square and so I will do a hypothesis. Square 1: 48 56 64 54 63 72 60 70 80

& lt ;< br />

48+80=128

and

60+64=124 2000 Maths GCSE Coursework

Ben Blackmore 10 Shirley

Mr. Wellings Page 2 Therefore, 128-124=4 Well, we have the reply 4. I will seek once more

and see whats answer will come out this clip. Square 2:

6 9 12 8 12 16 10 15 20 6+20=26

and

10+12=22 Therefore, 26-22=4 Okay, I am trusting that 4 is the following reply so I can do

the hypothesis that I want to. Square 3: 4 6 8 6 9 12 8 12 16 4+16=20

and

8+8=16 Therefore, 20-16=4 I am now in a place to do my hypothesis and so I

will try to turn out it utilizing algebra. Hypothesis When you add the

two Numberss in opposite corners and deduct the smaller figure from the larger

figure the reply is ever 4. I have besides found that the top left and

underside right Numberss, when added up, is the larger figure ( this is the figure

is pink ) . I am now traveling to seek to turn out this statement by utilizing algebraic

footings. 2000 Maths GCSE Coursework

Ben Blackmore 10 Shirley

Mr. Wellings Page 3 This is my careworn hypothesis: TL T TR ML M MR BL B BR ( TL+BR ) – ( BL+TR ) =4