O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2015 · Q214 Marks
[Figure 21]
- (a)On the grid, shade the region, R, given by these inequalities. 1 ≤ x ≤ 5 ; 2 ≤ y ≤ 4[2]
- (b)(i)The line L, with equation y = 1/3 x, is drawn on the grid. Draw the line y = 1/3 x + k so that it passes through a point belonging to R such that k is as large as possible.[1]
- (b)(ii)Write down this largest value of k.[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 (May/June 2015). The mark or mark type is shown in brackets.
- [2] Correct region identified
- B1 for the lines x = 1 and x = 5 or the lines y = 2 and y = 4
- [1] Line parallel to L, through top left hand point of R
- [1 dep] 3.5 to 4 (inclusive)
- Mark dep on 1 mark scored in b)i)
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