Higher November 2017 Paper 2 Q12
12 The table shows information about the UK and Germany.
| Population | Area (square miles) | |
|---|---|---|
| UK | 64 000 000 | 95 000 |
| Germany | 82 000 000 | 140 000 |
Population density \(= \dfrac{\text{population}}{\text{area}}\)
Compare the population densities of the UK and Germany. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(64\,000\,000 \div 95\,000\) or 673.(…) or 674 or \(\dfrac{12\,800}{19}\) or \(82\,000\,000 \div 140\,000\) or 585.(…) or 586 or \(\dfrac{4100}{7}\) | M1 | oe population ÷ area Accept a pair of consistent divisions eg \(64 \div 95\) or 0.673… or 0.674 and \(82 \div 140\) or 0.585… or 0.586 |
| 673.(…) or 674 or 670 and 585.(…) or 586 or 590 or \(\dfrac{89\,600}{133}\) and \(\dfrac{77\,900}{133}\) | A1 | Correct comparable values from consistent divisions eg 0.674 and 0.586 Accept 700 with division seen for UK Accept 600 with division seen for Germany |
| Comparable values and correct conclusion | A1ft | eg 673 and 585 and greater for UK 0.673 and 0.585 and greater for UK ft M1A0 and comparable values Ignore further work |
Additional guidance
| Comparable values means both must be in the same form eg fractions with common denominators | |
| \(64\,000\,000 \div 95\,000 = 67.4\) \(82\,000\,000 \div 140\,000 = 5857\) Germany is higher | M1 A0 A1ft |
| Ignore subtraction of results | |
| 673 and 585 and UK has more people per square mile | M1A1A1ft |
| 673 and 585 and Germany has more space for their population | M1A1A1ft |
| 673 and 585 and UK’s population is less spread out | M1A1A1ft |
| 673 and 585 and UK is more than Germany | M1A1A1ft |
| 673 and 585 and UK is 78 more than Germany (ignore further work) | M1A1A1ft |
| 673 and 585 and the difference is 88 | M1A1A0ft |
| 673 and 585 and UK population is bigger | M1A1A0ft |
| 673 and 586 and UK | M1A1A0ft |
| 673 and 585 and Germany has more space | M1A1A0ft |
| \(673 \gt 585\) (unless links to countries in working) | M1A1A0ft |
| \(\dfrac{12\,800}{19}\) and \(\dfrac{4100}{7}\) and UK is greater (fractions not comparable) | M1A0A0ft |