4MA0 Higher January 2016 Paper 4R Q10
10 The table gives the surface areas, in square kilometres, of five seas.
| Sea | Surface area in square kilometres |
|---|---|
| Mediterranean Sea | \(2.97 \times 10^6\) |
| East China Sea | \(1.25 \times 10^6\) |
| Baltic Sea | \(4.22 \times 10^5\) |
| Red Sea | \(4.38 \times 10^5\) |
| Okhotsk Sea | \(1.59 \times 10^6\) |
(a) Write \(1.59 \times 10^6\) as an ordinary number. (1)
(b) Work out the difference, in square kilometres, between the largest surface area and the smallest surface area for these five seas.
Give your answer in standard form. (2)
Give your answer in standard form. (2)
The surface area of the East China Sea is \(k\) times the surface area of the Baltic Sea.
(c) Work out the value of \(k\).
Give your answer to the nearest whole number. (2)
Give your answer to the nearest whole number. (2)
| Scheme | Marks |
|---|---|
| 1 590 000 | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(2.97 \times 10^6 - 4.22 \times 10^5\) oe or \(4.22 \times 10^5 - 2.97 \times 10^6\) oe or \(\pm\) 2548000 | M1 |
| \(\pm 2.548 \times 10^6\) | A1 |
| (2) |
Notes
A1: allow \(\pm 2.5 \times 10^6\) or \(\pm 2.55 \times 10^6\) if working shown.
| Scheme | Marks |
|---|---|
| \(1.25 \times 10^6 \div 4.22 \times 10^5\) oe or 2.96… or \(\dfrac{625}{211}\) | M1 |
| 3 | A1 |
| (2) |
Notes
A1: cao