O-LevelMathematicsMensuration4024/12 · Oct/Nov 2025 · Q234 Marks
The diagram shows a square-based pyramid. X is the centre of the square base. Vertex E is vertically above X and EX = 7 cm. The perpendicular height of triangle BEC is 11 cm. Work out the length of the base of the pyramid. Give your answer as a surd in its simplest form. [Figure: Square-based pyramid EABCD. X at center of base. EX is height. Height of triangle BEC is given. NOT TO SCALE]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [4] 12√2 cao
- [4] B3 for [MX =] √72 oe or [AB = ] 2√72 oe
- [4] M2 for √(11² - 7²)
- [4] M1 for x² + 7² = 11²
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