Higher January 2022 Paper 1 Q17
17 A and B are two similar vases.
Diagram NOT accurately drawn
Vase A has height 10 cm.
Vase B has height 15 cm.
The difference between the volume of vase A and the volume of vase B is 1197 cm3
Calculate the volume of vase A
(4)
| Scheme | Marks |
|---|---|
eg \(2^3 : 3^3\) or 8 : 27 or \(10^3 : 15^3\) oe or \(\left(\dfrac{15}{10}\right)^3\) or \(1.5^3\;(= 3.375)\) or \(\left(\dfrac{3}{2}\right)^3\left(= \dfrac{27}{8}\right)\) or \(\left(\dfrac{10}{15}\right)^3\) or \(\left(\dfrac{2}{3}\right)^3\left(= \dfrac{8}{27}\right)\) | M1 |
eg \(\dfrac{1197}{27 - 8}\) or \(\dfrac{1197}{15^3 - 10^3}\) or \(\dfrac{27}{8}V_A - V_A = 1197\) oe or \(\dfrac{19}{8}V_A = 1197\) oe | M1 |
| eg \(8 \times \dfrac{1197}{27 - 8}\) or \(10^3 \times \dfrac{1197}{15^3 - 10^3}\) or \(\dfrac{8}{19} \times 1197\) oe | M1 |
| 504 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for a correct ratio or scale factor for the volumes
M1: for a correct method to find the value of 1 share of volume or for setting up a correct equation using the scale factor for the volumes
M1: complete correct method to find volume of vase A