-GCSE Maths Coursework
Module 4 Number grid
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
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
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
00
* A box is drawn round four numbers
* Find the product of the top left number and the bottom right number in the box
* Do the same with the top right and bottom left numbers
* Calculate the difference between these products
Investigate further.
For my module 4 coursework, I have been given the above investigation to carry out. The grid size is 10 x 10 and the box inside is 2 x 2. The box covers four numbers where I have been instructed to find the product of the top left number and the bottom right number as well as the top right number and the bottom left number. The top left of the box is twelve so I will call this box N12. These were the results found from the box N12:
12 x 23 = 276
> Difference of 10
13 x 22 = 286
To prove that the rule of a difference of 10 is the same for all 2 x 2 boxes in a 10 x 10 grid, I have selected a random box which I will call N64 and the results I obtained from the box N64 were:
Module 4 Number grid
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
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
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
00
* A box is drawn round four numbers
* Find the product of the top left number and the bottom right number in the box
* Do the same with the top right and bottom left numbers
* Calculate the difference between these products
Investigate further.
For my module 4 coursework, I have been given the above investigation to carry out. The grid size is 10 x 10 and the box inside is 2 x 2. The box covers four numbers where I have been instructed to find the product of the top left number and the bottom right number as well as the top right number and the bottom left number. The top left of the box is twelve so I will call this box N12. These were the results found from the box N12:
12 x 23 = 276
> Difference of 10
13 x 22 = 286
To prove that the rule of a difference of 10 is the same for all 2 x 2 boxes in a 10 x 10 grid, I have selected a random box which I will call N64 and the results I obtained from the box N64 were:
