Higher November 2024 Paper 3 Q12
12 The population of a country is now 67 200 000
The population is predicted to
increase by 1% per year for 6 years
and then
decrease by 1.2% per year for 2 years.
Work out the predicted population of the country 8 years from now.
Give your answer to 3 significant figures. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Multiplication by 1.01 or multiplication by 0.988 | M1 | oe eg multiplication by 0.01 followed by addition implied by 67 872 000 or multiplication by 0.012 followed by subtraction implied by 66 393 600 |
| \(67\,200\,000 \times 1.01^6\) or 71 334 154(.1…) or \(67\,200\,000 \times 0.988^2\) or 65 596 876(.8) or 65 596 877 or \(67\,200\,000 \times 1.01^6 \times 0.988^2\) | M1dep | oe |
| 69 632 406(.5….) or 69 632 407 | A1 | |
| 69 600 000 or 69.6 million or \(6.96 \times 10^7\) or \(69.6 \times 10^6\) | B1ft | ft any answer with >3sf correctly rounded to 3sf |
Additional guidance
| \(67\,200\,000 \times 1.01 \times 6 \times 0.988 \times 2 = 804\,690\,432\) Answer 805 000 000 | M1M0A0 B1ft |