Higher June 2023 Paper 3 Q5
5 The number of hedgehogs in England is expected to reduce by 4% each year.
Assume there are now 1 000 000 hedgehogs in England.
Work out the expected number of hedgehogs in England after five years.
You must show your working. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(1 - 0.04\) or 0.96 or \(0.04 \times 1\,000\,000\) or 40 000 or 960 000 | M1 | oe eg \(1 - \dfrac{4}{100}\) 1 040 000 implies M1 |
| Full method for exactly 5 compounded percentage calculations with their multiplier | M1 | oe eg \(1\,000\,000 \times\) their \(0.96^5\) |
| [800 000, 820 000] with M2 awarded | A1 |
Additional guidance
| 815 372.(…) or 815 373 with M2 awarded | M1M1A1 |
| Answer 800 000 from \(40\,000 \times 5\) | M1M0A0 |
| Answer 800 000 without either 40 000 shown or M2 awarded | M0M0A0 |
| Intermediate values for separate calculations are 960 000, 921 600, 884 736, 849 346.(…) |