4MA0 Higher January 2013 Paper 3 Q9
9 The table shows the diameters, in kilometres, of five planets.
| Planet | Diameter (km) |
|---|---|
| Venus | \(1.2 \times 10^4\) |
| Jupiter | \(1.4 \times 10^5\) |
| Neptune | \(5.0 \times 10^4\) |
| Mars | \(6.8 \times 10^3\) |
| Saturn | \(1.2 \times 10^5\) |
(a) Which of these planets has the smallest diameter? (1)
(b) Calculate the difference, in kilometres, between the diameter of Saturn and the diameter of Neptune.
Give your answer in standard form. (2)
Give your answer in standard form. (2)
The diameter of the Moon is \(3.5 \times 10^3\) km.
The diameter of the Sun is \(1.4 \times 10^6\) km.
(c) Calculate the ratio of the diameter of the Moon to the diameter of the Sun.
Give your answer in the form \(1 : n\) (2)
Give your answer in the form \(1 : n\) (2)
| Scheme | Marks |
|---|---|
| Mars | B1 |
| (1) |
Notes
B1: Accept \(6.8 \times 10^3\) oe
| Scheme | Marks |
|---|---|
| \(1.2 \times 10^5 - 5.0 \times 10^4\) or 70000 | M1 |
| \(7 \times 10^4\) | A1 |
| (2) |
Notes
M1: Correct values with intention to subtract
A1: M1 A0 for 70000 with no working
| Scheme | Marks |
|---|---|
| \((1.4 \times 10^6) \div (3.5 \times 10^3)\) | M1 |
| 1:400 oe | A1 |
| (2) |
Notes
M1: Correct values with intention to divide
A1: M1 A0 for 400 or 400:1 with no working