Higher June 2019 Paper 1 Q12
12 Here are three spheres.
The volume of sphere Q is 50% more than the volume of sphere P.
The volume of sphere R is 50% more than the volume of sphere Q.
Find the volume of sphere P as a fraction of the volume of sphere R. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{4}{9}\) | P1 | for process to find link between volume of Q and volume of P or between volume of R and volume of Q, eg ratio 1.5 : 1 or Q = 1.5P or P = \(\dfrac{2}{3}\)Q or two values in the ratio 1 : 1.5 such as 100 and 150 |
| P1 | for process to find link between volume of R and volume of P eg \(1.5^2 : 1\) or two values in the ratio 1 : 2.25 such as 100 and 225 | |
| A1 | for \(\dfrac{4}{9}\) oe fraction eg \(\dfrac{100}{225}\) |
Additional guidance
\(1.5^2\ \left(= \dfrac{9}{4}\right)\) is enough for this mark, award P1P1
Accept P = \(\dfrac{4}{9}\)R