O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · Oct/Nov 2011 · Q66 Marks
The length of a rectangular garden is xm and the width of the garden is 10m less than the length.
- (i)Given that the perimeter of the garden is greater than 140m, write down a linear inequality in x.[1]
- (ii)Given that the area of the garden is less than 3000 m², write down a quadratic inequality in x.[1]
- (iii)By solving these two inequalities, find the set of possible values of x.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.
- [B1] (i) 4x – 20 > 140 oe
- [B1] (ii) x(x – 10) < 3000
- [B1] (iii) x > 40
- [M1] (iii) Factorise 3 term quadratic
- [A1] (iii) -50 and 60
- [A1] (iii) 40 < x < 60
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