1MA0 Higher November 2012 Paper 2 Q19
19 Rob is learning about the planets.
Rob makes a model of the Sun.
He also makes a model of the planet Jupiter.
Rob is going to hang the two models in the school hall.
Rob wants a distance of 16 m between the two models.
The real distance between the planet Jupiter and the Sun is \(8 \times 10^8\) km.
Work out the scale Rob should use.
Give your answer in the form \(1 : n\) (3)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| 16 metres : \(8 \times 10^8\) km. 16 : \(8 \times 10^8 \times 1000\) 16 : \(8 \times 10^{11}\) 1 : \(5 \times 10^{10}\) OR 2 m to \(10^8\) km 2m to 100 000 000 000m 1m to 50 000 000 000m | 1 : \(5 \times 10^{10}\) | 3 | M1 (indep) correct method to convert to consistent units M1 \(\dfrac{\text{‘}8 \times 10^8\text{’}}{\text{‘16’}}\) (units may not be consistent) or \(5 \times 10^{10}\) oe or \(5 \times 10^7\) oe A1 1: \(5 \times 10^{10}\) or 1: 50 000 000 000 OR M1 (indep) correct method to convert to consistent units M1 \(\dfrac{\text{‘16’}}{8}\) to ‘\(10^8\)’ A1 1: \(5 \times 10^{10}\) or 1: 50 000 000 000 |