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Mathematics · May / June 2026 · Paper 22 · Question 20

0580

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Two bottles are mathematically similar. The volume of the larger bottle is 216 cm3 and the volume of the smaller bottle is 27 . cm3 The height of the larger bottle is 10 cm and the height of the smaller bottle is › cm. Find the value of ›. › ¢ [3]

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5 [3]

M2 for h = 3 27 oe e.g. 3 3 216 10 216 × 10 oe or ‣ , 10 ÷ 3 8 6 × 10, 10 , 3 27 8 10 = 27 3 1000, 125 2 oe × 3 1000 , 3 h 216 8

or M1 for 3 27 216 or 3 216 e.g.

M1 for [L]SF = 1 2 or 2 but not just 1 27 oe or 2 or 2 alone better 3 10 = 216 or for 27 or h 3 h = 27 216 oe or better 10

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