Higher November 2019 Paper 2 Q8
8.
(a) In 2015, the average price of coal sold by a mine in the USA was $31.83 per ton.
This coal was then delivered to power stations.
The power stations paid $42.58 per ton for this coal.
The difference in price was the delivery cost.
This coal was then delivered to power stations.
The power stations paid $42.58 per ton for this coal.
The difference in price was the delivery cost.
What percentage of the original price of the coal was this delivery cost?
Give your answer correct to 3 significant figures. [3]
(b) In the USA and the UK the word ‘ton’ means different amounts:
- a UK ton = 1016 kg,
- a USA ton = 907 kg,
- a tonne (called a metric ton in the USA) = 1000 kg.
What is the difference between a UK ton and a USA ton?
Give your answer in tonnes. [2]
(c) A preformed piece of coal weighs 100 g correct to the nearest 5 g.
A bag contains 30 pieces of preformed coal.
A bag contains 30 pieces of preformed coal.
Complete the sticker to attach to this bag of coal. [4]
\[\boxed{\begin{matrix}\text{This bag of coal}\\ \text{weighs }\textbf{at least}\\[4pt] \ldots\ldots\ldots\ldots\ \textbf{kg}\end{matrix}}\]| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{42.58 - 31.83}{31.83}\ (\times 100)\) or equivalent | M1 | (= 10.75/31.83) |
| 33.8 (%) | A2 | A1 for 33(.77...%) or 34 (%) |
| Scheme | Marks | Comments |
|---|---|---|
| \((1016 - 907) \div 1000\) or equivalent | M1 | (=109 ÷ 1000) |
| 0.109 (tonnes) | A1 | Mark final answer |
| Scheme | Marks | Comments |
|---|---|---|
| Sight of 97.5 (g) | B1 | |
| \(30 \times 97.5\ (\div 1000)\) | M1 | FT ‘their 97.5’ provided \(95 \leqslant\) ‘their 97.5’ \(\lt 100\) |
| 2.925 (kg) | A2 | A1 for 2925 (g) |
| (9) |