O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2014 · Q234 Marks
The diagram shows the three lines which intersect at the points A, B and C. x = 8, x + y = 21 and 2y = 12 + x [Figure 23.1]
- (a)Find the coordinates of B.[1]
- (b)The region inside triangle ABC is defined by three inequalities. One of these is x + y < 21. Write down the other two inequalities.[2]
- (c)Find the coordinates of the point, with integer coordinates, that is inside triangle ABC.[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 2014). The mark or mark type is shown in brackets.
- [1] (a) (8, 10)
- [1] (b) x > 8 oe
- [1] 2y > 12 + x oe
- [2] If 0 scored, then C1 for x ≥ 8 oe and 2y ≥ 12 + x oe.
- [1] (c) (9, 11)
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