O-LevelMathematicsMensuration4024/11 · May/June 2024 · Q214 Marks
Prism A and prism B are mathematically similar. In the diagram, the cross-sections of the prisms are shaded. The volume of prism A is 5000 cm³. The length of prism A is 50 cm. The area of the cross-section of prism B is 16 cm². [Figure: Prism A (length 50) and Prism B, NOT TO SCALE, with shaded cross-sections] Calculate the length of prism B.
- (a)Calculate the length of prism B.[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 (May/June 2024). The mark or mark type is shown in brackets.
- [4] 20
- M1 for area of A = 5000 ÷ 50 or 100
- M2 for 50 × sqrt(16/their 100)
- or M1 for sqrt(16/their 100) or 50/x = sqrt(their 100/16)
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