GCSE Maths Coursework
Task B
The Task
After looking at the table of numbers:
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
I will then investigate the diagonal difference of a 4x4 grid, 3x3 grid and 2x2 grid the numbers for these grids will be taken from the 8x8 grid above.
The way to investigate diagonal difference is shown in the example:
'Sarah writes down a 3x3 grid from the above table.'
0
1
2
8
9
20
26
27
28
'She notices that when you multiply the opposite corners the difference between the products is 32'
For example:
0 x 28 = 280
2 x 26 = 312
The diagonal difference is 312 - 280 = 32.
What I think will happen
I think that the diagonal difference will always be 32 with a 3x3 grid.
I think that the diagonal difference for a 2x2 grid will be 8 each time.
Task B
The Task
After looking at the table of numbers:
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
I will then investigate the diagonal difference of a 4x4 grid, 3x3 grid and 2x2 grid the numbers for these grids will be taken from the 8x8 grid above.
The way to investigate diagonal difference is shown in the example:
'Sarah writes down a 3x3 grid from the above table.'
0
1
2
8
9
20
26
27
28
'She notices that when you multiply the opposite corners the difference between the products is 32'
For example:
0 x 28 = 280
2 x 26 = 312
The diagonal difference is 312 - 280 = 32.
What I think will happen
I think that the diagonal difference will always be 32 with a 3x3 grid.
I think that the diagonal difference for a 2x2 grid will be 8 each time.