1MA0 Higher November 2016 Paper 1 Q20
20 William is building a planetary path for people to walk along.
The planetary path will have a model of the Sun and models of the planets.
William uses two different scales.
He uses
1 cm to 1000 km for the diameter of each planet
1 m to 1 000 000 km for the distance from the Sun to each planet
William makes a model of the planet Venus.
The model has a diameter of 12.1 cm.
(a) Work out the real diameter of the planet Venus.
Give your answer in standard form. (2)
Give your answer in standard form. (2)
William works out the distance from the model of the Sun to the model of the planet Neptune.
The real distance from the Sun to the planet Neptune is \(4.503 \times 10^9\) km.
(b) Work out the distance from the model of the Sun to the model of the planet Neptune.
Give your answer in km, correct to 1 decimal place. (3)
Give your answer in km, correct to 1 decimal place. (3)
| Answer | Mark | Notes |
|---|---|---|
| \(1.21 \times 10^4\) | 2 | M1 for \(12.1 \times 1000\) (= 12100) oe A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| 4.5 | 3 | M1 for \(4.503 \times 10^9 \div 10^6\) (= 4503) oe or for \(4.503 \times 10^9 \div 10^3\) (= 4503000) oe M1 for \(4.503 \times 10^9 \div 10^6 \div 10^3\) (=4.503 with no other digits) A1 for cao |