O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2024 · Q174 Marks
The diagram shows the lines y = 2x + 1 and x + y = 2. [Figure for 17 shows a graph with two lines drawn]
- (a)The region R is defined by these three inequalities. y ≤ 2x+1 x+y≤2 y≥-2 On the diagram, shade and label the region R.[2]
- (b)The point (k, k-2) lies in the region R where k is an integer. List the possible values of k.[2]
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 2024). The mark or mark type is shown in brackets.
- [2] 17(a) [diagram shows correct shaded region R]
- B1 for y = -2 drawn or for a region between the two boundary lines identified.
- [2] 17(b) 0, 1, 2
- B1 for 2 correct with no errors or 3 correct with one error or for coordinates of a point on the line y = x - 2 identified
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