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'Maths Filler 2' printed from https://nrich.maths.org/
The first 6 marks are filled one every half minute.
Then for mark 7 we first fill up to 6 completely:
$M+ = 1+3+1 = 5$
$A+ = \frac{3.5+4}{2} \times 2 +4 - \frac{1+2}{2} \times 2 +2 =
10.5$
$T+ = 6+2 = 8$
$H+ = 3+3+3+1 = 10$
$S = 4+1+1+1+1+0.5 = 8.5$
42 total
And then fill up to 7:
$M = 2$
$A = \frac{3.5 + 3.375}{2} \times 0.5 -1 \times 0.5 =
\frac{39}{32}$
$T = 2$
$H = 2$
$S = 2 \times \frac{1}{2} + \frac{1}{8} = \frac{9}{8}$
$\frac{267}{32}$ total (sum to this point =
$\frac{1707}{32}$)
And following the same process for the rest of the levels:
Level 8: $\frac{225}{32}$ total (sum to this point =
$\frac{1932}{32}$)
level 9: $\frac{267}{32}$ total (sum to this point =
$\frac{2199}{32}$)
Level 10: $\frac{249}{32}$ total (sum to this point = 76.5)
The sum of all these is 76.5.
Now if we check the total size to check it's the same: $24 \times 5
- 23.5 \textrm{ spaces} = 76.5$ check!
So we can plot these points on a graph! Joining them up is another
matter...