Numeracy Intermediate November 2022 Unit 2 Q2
2.
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Iwan recorded his gas usage for a week.
His meter reading was 21 345 kWh at the start of the week.
His meter reading was 21 640 kWh at the end of the week.
Gas costs 7.2p per kWh.
VAT at 5% is payable on the cost of any gas used.
Calculate the total cost of Iwan’s gas for the week.
You must show all your working. [5 + 2 OCW]
For the first 7 days of October, the mean daily outside temperature at midday where Iwan lives was 13·2°C.
The temperatures at midday for the next 2 days of October were 12·2°C and 12·4°C.
Calculate the total of the temperatures for the first 7 days.
Hence, calculate the mean midday temperature for the first 9 days of October.
You must show all your working. [4]
The mean midday temperature for the first 9 days of October was …………… °C
The plan of the streets where Iwan lives is shown below.

Diagram not drawn to scale
Find the size of each of the angles \(a\), \(b\) and \(c\). [3]
\(a\) = …………… ° \(b\) = …………… ° \(c\) = …………… °
| Scheme | Marks | Comments |
|---|---|---|
| Incorrect unit of money is penalised – 1 once only on the first occurrence, by withholding an A or B mark | ||
| (Gas usage 21640 – 21345 =) 295 (kWh) | B1 | |
| (Cost of gas excluding VAT) 295 × 7.2 or 295 × 0.072 | M1 | FT ‘their 21640 – 21345’ for M1 and possible A1 FT ‘their number of units’ including use of 21640 or 21345 or 21640 + 21345 for M1 but A0 Treat ‘× 0.72’ as incorrect units, allow M1 but A0 |
| 2124(p) or (£)21.24 | A1 | |
| (Cost of gas including VAT) 2230(.2p) or (£)22.30(2) | B2 | FT ‘their cost of gas excluding VAT’, accepting rounding or truncation to a penny B1 for one of the following:
|
| Organisation and communication | OC1 | For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means |
| Writing | W1 | For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc. |
| Scheme | Marks | Comments |
|---|---|---|
| 13.2 × 7 + 12.2 + 12.4 (= 117) | M2 | M1 for sight of one of the following:
|
| ÷ 9 | m1 | FT from M2 or from 12.2 + 12.4 + ‘their sum with a total of 92 to 93 inclusive for 7 possible temperatures |
| 13 (°C) | A1 | CAO from 117 ÷ 9 Answer space takes precedence |
| Scheme | Marks | Comments |
|---|---|---|
| Answer space takes precedence | ||
| a = 98(°) | B1 | |
| b = 63(°) | B1 | |
| c = 117(°) | B1 | FT 180 – ‘their b’ provided ‘their b’ ≠ 90° or ≠ 180° |