O-LevelMathematicsMensuration4024/21 · Oct/Nov 2015 · Q1112 Marks
The diagram shows a solid triangular prism. All lengths are given in centimetres. Calculate the area of the cross-section of the prism.
- (a)(i)The diagram shows a solid triangular prism. All lengths are given in centimetres. Calculate the area of the cross-section of the prism.[2]
- (a)(ii)Calculate the volume of the prism.[1]
- (a)(iii)Calculate the total surface area of the prism.[5]
- (b)A cylinder has a height of 70 cm and a volume of 0.1 m³. Calculate the radius of the cylinder, giving your answer in centimetres.[4]
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 2015). The mark or mark type is shown in brackets.
- [2] 9.19[...]
- M1 for 1/2 * 4 * 6 * sin 50
- [1ft] 183 to 184
- ft 20 × their 9.19
- [5ft] 310 to 310.5
- ft 292 + 2x their 9.19
- B3 for 4.60 or 4.59[8...]
- or M2 for 4² + 6² – 2× 4 × 6 × cos 50
- or M1 for cosine formula with one error
- AND M1 for 20×(4 + 6 + their4.60) + 2×their9.19 oe
- [4] 21.3[2...]
- B1 for correct change of units soi
- M1 for use of π × r² × 0.7 = 0.1
- M1 for r² = 0.1 / (0.7 × π) soi
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