O-LevelMathematicsCoordinate geometry4024/12 · Oct/Nov 2020 · Q214 Marks
The diagram shows a triangle formed by joining the points A (1, 2), B (13, 2) and C (4, 8). The equation of the line BC is 2x+3y = 32.
- (a)The region inside triangle ABC is defined by three inequalities. One of these is 2x+3y < 32. Write down the other two inequalities.[2]
- (b)The point (k, 7), where k is an integer, lies inside triangle ABC. Find the possible values of k.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [2] 21(a) y>2 and y< 2x oe
- B1 for y > 2 or y < 2x oe
- If 0 scored, SC1 for both boundary lines, soi
- [2] 21(b) 4 and 5
- B1 for one correct with no extras
- or M1 for substituting y = 7 into 2x + 3y = 32 or y = 2x leading to x = 5.5 oe or x = 3.5 oe
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