4MA0 Higher June 2016 Paper 4R Q13
13
(a) Write 250 000 in standard form. (1)
The radius of the planet Jupiter is \(6.99 \times 10^7\) metres.
The radius of the Earth is \(6.37 \times 10^6\) metres.
The volume of Jupiter is \(k\) times the volume of the Earth.
(b) Assuming that both planets are spheres, calculate the value of \(k\).
Give your answer correct to 3 significant figures. (3)
Give your answer correct to 3 significant figures. (3)
| Scheme | Marks |
|---|---|
| \(2.5 \times 10^5\) | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
\(\dfrac{4\pi}{3} \times (6.99 \times 10^7)^3 \div \left[\dfrac{4\pi}{3} \times (6.37 \times 10^6)^3\right]\) or \((1.43\ldots \times 10^{24}) \div (1.08\ldots \times 10^{21})\) | M1 |
| M1 | |
| 1320 | A1 |
| (3) |
Notes
M1: for \(\dfrac{4\pi}{3} \times (6.99 \times 10^7)^3\) or \(\left[\dfrac{4\pi}{3} \times (6.37 \times 10^6)^3\right]\)
M1: for a complete method
A1: accept answers which round to 1320 or \(1.32 \times 10^3\)
M2 \(\dfrac{(6.99 \times 10^7)^3}{(6.37 \times 10^6)^3}\) oe