O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2018 · Q214 Marks
In the diagram, the equation of the line • through B and C is 6x + 7y = 42 • through A and B is y = x/5 [Figure 21.1]
- (a)The region inside triangle ABC is defined by three inequalities. One of these is y > x/5. Write down the other two inequalities.[2]
- (b)The line y = kx passes through triangle ABC. Find all the possible integer 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 2018). The mark or mark type is shown in brackets.
- 21(a) x > 2 oe and 6x + 7y < 42 oe [2]
- B1 for one correct or for x ... 2 oe and 6x + 7y ... 42 oe, with incorrect (in)equalities for ...
- 21(b) Both 1 and 2, only, nfww [2]
- B1 for C is (2, 4. ...) oe; or for gradient of OC = 2. ... oe
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