Foundation November 2022 Paper 1 Q21
21 The table below shows the approximate population of three countries in 2020.
| Country | Population |
|---|---|
| China | \(1.44 \times 10^9\) |
| Kiribati | \(1.19 \times 10^5\) |
| Tuvalu | \(1.18 \times 10^4\) |
(a) Calculate the approximate total population of Kiribati and Tuvalu in 2020.
Give your answer in standard form, correct to 3 significant figures. [4]
(b) Show that in 2020 the population of China was approximately 120 000 times the population of Tuvalu. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(1.31 \times 10^5\) | 4 | B3 for 131000 or \(131 \times 10^3\) oe or \(1.3 \times 10^5\) or \(1.30[8] \times 10^5\) or B2 for 130800 or \(1308 \times 10^2\) oe or M1 for figs 119 + figs 118 If 0 scored SC1 for their value correctly rounded to 3 sf | Addition may be implied by figs 131 or 1308, Must clearly be their answer from attempt at addition The unrounded value must be seen |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{1.44 \times 10^9}{1.18 \times 10^4}\) | M1 | Accept in ordinary numbers e.g. \(\dfrac{1440000000}{11800} =\) | |
| \(1.22 \times 10^5\) or 122 000 to 122 034 | A1 | ||
| OR | |||
| \(1.18 \times 10^4 \times 120\,000\) | M1 | ||
| \(1.416 \times 10^9\) or 1416000000 to 1420000000 | A1 | ||
| OR | |||
| \(\dfrac{1.44 \times 10^9}{120000}\) | M1 | ||
| \(1.2 \times 10^4\) or 12000 | A1 | ||