O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2016 · Q254 Marks
In the diagram, the line 3y + 2x = 13 meets the axes at A and B. [Figure 25.1]
- (a)Find the coordinates of A.[1]
- (b)The shaded region R is defined by five inequalities. Two of these are x ≤ 6 and y ≤ 6. Write down the other three inequalities.[2]
- (c)The point P is in the shaded region R. Given that AP is as large as possible, write down the coordinates of P.[1]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.
- [1] (a) (0, 4 1/3)
- [2] (b) x ≥ 1 oe, y ≥ 2 oe, 3y + 2x ≥ 13 oe – all three
- C1 for one or two correct, or for x ... 1 oe, y ... 2 oe, 3y + 2x ... 13 oe, with incorrect "...".
- [1] (c) (6, 2)
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