Numeracy Intermediate November 2022 Unit 2 Q8
8.
(a)
The population of Barbados in 1644 was said to be 30 000.
By 1964, the population of Barbados had increased by 682%.
From 1964 to 2014, the population of Barbados increased by a further 20%.
Calculate the population of Barbados in 2014.
You must show all your working. [3]
(b)
The area of Barbados is 432 km2.
The population of Barbados in September 2019 was 287 106.
Calculate the population density of Barbados in September 2019.
Give your answer correct to 2 significant figures. [3]
(c) The density of some of the sand in Barbados is 1442 kg/m3.
Express this density in g/cm3. [2]
Express this density in g/cm3. [2]
| Scheme | Marks | Comments |
|---|---|---|
| (Population in 1964) \(\dfrac{100\ +\ 682}{100}\) × 30000 or 7.82 × 30000 or 30000 + 30000 × \(\dfrac{682}{100}\) or equivalent | M1 | (= 234600 people) M0 for 6.82 × 30000 (= 204600) or 1.682 × 30000 (= 50460) |
| (Population in 2014) \(\dfrac{100 + 20}{100}\) × 234600 or 1.2 × 234600 | M1 | FT ‘their derived 234600’ including 1.2 × 204600 (= 245520) 1.2 × 50460 (= 60552) |
| 281520 (people) | A1 | CAO |
| Scheme | Marks | Comments |
|---|---|---|
| 287 106 ÷ 432 | M1 | |
| 660 (people per km2) | A2 | A1 for sight of 664.597…. rounded or truncated |
| Scheme | Marks | Comments |
|---|---|---|
| 1442 × 1000 ÷ 1 000 000 | M1 | |
| 1.4(42 g/cm3) | A1 | Mark final answer Allow M1 A1 for 1442 ÷ 1000 = 1.4(42) Do not accept from incorrect working, e.g. M0 A0 if 1.442 seen with an incorrect statement, e.g.
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