Foundation November 2024 Paper 2 Q10
10
(a) The table shows charges made by a gas company to its customers.
| Cost per day | 27p |
| PLUS | |
| Cost per unit of gas used | 8p |
The owner of a flat receives a gas bill covering a period of 100 days.
They have used 7000 units of gas in this period.
Show that their bill is for £587. [4]
(b) The owner of a house is supplied gas by a different gas company.
- The cost per day is 25p.
- They use 10 000 units of gas in 100 days.
- Their bill covering the period of 100 days is £975.
Work out the cost per unit of gas used, giving your answer in pence. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Candidate clearly shows that: 27 + 560 = 587 | 4 | M2 for [£]\(0.08 \times 7000\) or 8[p] \(\times\ 7000\) and [£]\(0.27 \times 100\) or 27[p] \(\times\ 100\) or M1 for [£]\(0.08 \times 7000\) or [£]\(0.27 \times 100\) or 8[p] \(\times\ 7000\) or 27[p] \(\times\ 100\) B1 for £27 or [£]560 or for 2700[p] or 56 000[p] | “Shows that” requires evidence of at least M2, B1 For M2, M1 & B1 if units (£ or p) are given they must be correct |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 9.5 [p] | 4 | B1 for \(25 \times 100\) or 2500[p] or [0].25 \(\times\ 100\) or £25 M2 for \((975 - \textit{their}\ 25) \div 100\) oe or M1 for \((975 - \textit{their}\ 25) \div 10\,000\) oe If 0 or 1 scored, instead award SC2 for figs 95 as final answer | Condone answer of 9 or 10 after 9.5[p] or [£]0.095 seen Ignore units for M2 and M1 M2 Implied by \(950 \div 100\) M1 implied by \(950 \div 10{,}000\) or 0.095 |