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2012 Section 1 Question 16

16) C
Let us calculate the number of tiles on the floor = 15 x 10 = 150 tiles

Let us divide the floor into 6 sections. Each section looks like this:

In each section, there are 25 tiles.
5 completely white tiles = 0% black
4 completely black tiles = 100% black x 4 = 4
4 one-quarter black tiles = 25% black x 4 = 1
12 half-black tiles = 50% black x 12 = 6

4+1+6 = 11
Percentage black = (11/25) x 100 = 44%
Since this section represents the whole diagram, we can say that the entire floor is 44% black.

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