Foundation November 2019 Paper 1 Q17
17 The table below shows the area, in square kilometres (km\(^2\)), of some countries.
| Country | Area (km\(^2\)) |
|---|---|
| Australia | \(7.69 \times 10^{6}\) |
| Latvia | \(6.46 \times 10^{4}\) |
| Luxembourg | \(2.59 \times 10^{3}\) |
| Russia | \(1.71 \times 10^{7}\) |
| Singapore | \(7.24 \times 10^{2}\) |
| Sweden | \(4.50 \times 10^{5}\) |
(a) Write the area of Sweden as an ordinary number. [1]
(b) Which of the above countries has the smallest area? [1]
(c) Alexis says
The area of Australia is approximately three times larger than the area of Luxembourg.
Is she correct?
Show how you decide.
Alexis is .................. because .................. [2]
(d) Work out the total area of Russia and Australia.
Give your answer in standard form, correct to 2 significant figures. [4]
Give your answer in standard form, correct to 2 significant figures. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 450 000 | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Singapore | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Incorrect it is 3000 or 2969 to 2970 times bigger or Incorrect 769 0000 is 3000 or 2969 to 2970 times bigger than 2590 oe or Incorrect, \(3 \times 10^3\) or 3000 times larger or Incorrect and evaluates Luxembourg’s area × 3 or Australia’s area ÷ 3 with comment comparing the values | 2 | M1 for \(\dfrac{7.69 \times 10^6}{2.59 \times 10^3}\) oe or M1 for \((2.59 \times 10^3) \times 3 = 7.77[0] \times 10^3\) or 2590 × 3 = 7770 or \((7.69 \times 10^6) \div 3 = 2.563333[3...] \times 10^6\) or 7 690 000 ÷ 3 = 2563333[.3...] or M1 for \(10^3\) or 1000 times larger | Allow equivalent e.g wrong 7690000 ÷ 2590 = 2969.11 Figures must be in the same form for comparison, may be on the table |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(2.5 \times 10^{7}\) | 4 | B3 for 25 000 000 or \(2.5[0..] \times 10^7\) or \(2.4[7..] \times 10^7\) or \(2.48 \times 10^7\) or B2 for 24790 000 or \(24.79 \times 10^6\) oe or M1 for \(1.71 \times 10^7 + 7.69 \times 10^6\) oe implied by figs 2479 If 0 or 1 scored SC1 for their value rounded to 2 sf | The unrounded value must be seen |