Higher November 2022 Paper 6 Q5
5 In space, distances can be measured in Astronomical Units.
In this question, use the conversion 1 Astronomical Unit = \(1.5 \times 10^8\) km.
(a) On a particular day the distance from Earth to Neptune is 29.09 Astronomical Units.
Calculate the distance from Earth to Neptune in kilometres on that day.
Give your answer in standard form. [3]
(b) On a particular day the distance from Earth to Mars is 78 340 000 km.
Calculate the distance from Earth to Mars in Astronomical Units on that day. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(4.36[35] \times 10^9\) or \(4.364 \times 10^9\) or \(4.4 \times 10^9\) | 3 | B2 for 4 363 500 000 or 4 400 000 000 oe or M1 for 29.09 × figs 15 soi by figs 436 | oe is other correct answers not in standard form eg \(43.635 \times 10^8\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 0.52[2…] | 2 | M1 for 78 340 000 ÷ figs 15 soi by figs 52 | |