O-LevelMathematicsMensuration4024/21 · Oct/Nov 2020 · Q511 Marks
The diagram shows a garden shed positioned on horizontal ground. It is in the shape of a prism with trapezium ABCD as its cross-section. The base of the shed, ABFE, is a rectangle. AB = 1.55 m, AD = 2.25 m, BC = 1.85 m and BF = 2.10 m.
- (a)Calculate the volume of the shed.[3]
- (b)The roof of the shed, CGHD, is painted. 1 litre of paint covers 2 square metres. Calculate the amount of paint used.[4]
- (c)Calculate the angle of elevation of D from F.[4]
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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.
- [3] 6.67 or 6.672 to 6.673 M2 for 1/2 ×(2.25+1.85)×1.55×2.1 oe or M1 for 1/2 ×(2.25+1.85)×1.55 oe or 1/2 ×1.55×2.1×(2.25-1.85) oe
- [4] 1.68 to 1.681... M2 for [DC = ] √1.55² + (2.25-1.85)² oe or M1 for [DC² = ] 1.55² +(2.25-1.85)² oe AND M1 for [1/2x] their 1.601×2.1 oe
- [4] 40.8 or 40.76... M2 for [AF = ] √1.55² +2.12 oe or M1 for [AF² = ] 1.55² + 2.1² oe AND M1 for tan[ ]= 2.25/their AF oe soi
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