Higher November 2018 Paper 1 Q15
15 Three solid shapes A, B and C are similar.
The surface area of shape A is 4 cm\(^2\)
The surface area of shape B is 25 cm\(^2\)
The ratio of the volume of shape B to the volume of shape C is 27 : 64
Work out the ratio of the height of shape A to the height of shape C.
Give your answer in its simplest form. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 3 : 10 | P1 | process to find ratio of lengths A:B \(= \sqrt{4} : \sqrt{25}\) (= 2:5 or \(\dfrac{2}{5}\) or 2, 5) |
| P1 | for process to find ratio of lengths B:C \(= \sqrt[3]{27} : \sqrt[3]{64}\) (= 3:4 or \(\dfrac{3}{4}\) or 3, 4) | |
| P1 | for process to write as one ratio eg. finding a common multiple of 3 and 5 or 6 : 15 : 20 oe | |
| A1 | cao |
Additional guidance
Accept working in fractions for the award of process marks but the final answer must be in correct simplified ratio notation