O-LevelMathematicsCoordinate geometry4024/12 · Oct/Nov 2024 · Q174 Marks
The diagram shows a shaded triangle, ABC, drawn on a 1 cm square grid. The equation of the line AC is y = -3/2x + 1.
- (a)The shaded region inside triangle ABC is defined by three inequalities. One of these inequalities is y > -3/2x + 1. Find the other two inequalities.[2]
- (b)Work out the area of triangle ABC.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [2] [0 ≤ ] x ≤ 4
- [2] y ≤ x + 1 oe
- [2] B1 for [0 ≤ ] x ≤ 4 or for y ≤ x + 1 oe
- [2] If 0 scored, SC1 for x = 4 and y = x + 1 soi
- [2] 20
- [2] M1 for 1/2 × 10 × 4 oe
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