Numeracy Intermediate November 2016 Unit 2 Q6
6.
(a) The total area of all the woodlands in Wales is 303 000 hectares.
Individual woodlands that have an area of 2000 hectares or more make up 76% of the total area of all the woodlands in Wales.
Complete the following statement.
‘Woodlands with areas of less than 2000 hectares in Wales cover a total area of
…………………… hectares.’ [3]
(b) The price of softwood changes each year.
The price has increased by 6% per annum for each of the last 5 years.
Before this, the price had decreased by 2% per annum.
Seven years ago the price of softwood was £34 per m3.
The price has increased by 6% per annum for each of the last 5 years.
Before this, the price had decreased by 2% per annum.
Seven years ago the price of softwood was £34 per m3.
Calculate the current price of softwood. [3]
Current price of softwood is £ …………………… per m3
| Scheme | Marks | Comments |
|---|---|---|
| 0.24 × 303 000 or 303 000 – 0.76 × 303 000 or equivalent | M2 | Ignore any further calculations M1 for sight of 0.76 × 303 000 (= 230 280), then M1 for sight of 303 000 – 230 280 |
| 72 720 (hectares) | A1 | Mark final answer |
| Scheme | Marks | Comments |
|---|---|---|
| 34 × 0.982 × 1.065 | M2 | OR equivalent method to decrease by 2% and to increase by 6% on different amounts (34 × 0.982 = 32.6536) (34 × 1.065 = 45.4996…) M1 for sight of either ×0.982 or ×1.065 or equivalent calculations |
| Answer in the range (£)43.67 to (£)43.7(0) | A1 | CAO, from correct working |