O-LevelMathematicsMensuration4024/11 · Oct/Nov 2014 · Q174 Marks
The diagram shows a scoop used for measuring washing powder. The scoop is a prism. Its cross-section is a trapezium. The trapezium has height 4 cm and parallel sides of length 7 cm and 11 cm. The width of the scoop is 5 cm.
- (a)Show that the volume of the scoop is 180cm³.[1]
- (b)A scoop used in industry is geometrically similar to the scoop above. It has a volume of 22.5 litres. Calculate the height of the industrial scoop.[3]
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 2014). The mark or mark type is shown in brackets.
- [1] (a) Valid method, with ½(11+7)×4×5 oe, leading to 180 AG
- [3] (b) 20 WWW
- B1 for 22 500 or 0.18
- M1 for (figs 225)/(figs 18) soi
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