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Numeracy Foundation November 2022 Unit 2 Q5

5.

(a)

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]

(b)

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

(c)

The plan of the streets where Iwan lives is shown below.

Street plan: two parallel lines (arrows) crossed by two other lines that meet at a point on the left with angle 42°; angles 75° and 82° at the lower crossing of the first parallel line; angles a, b and c marked

Diagram not drawn to scale

Find the size of each of the angles \(a\), \(b\) and \(c\). [3]

\(a\) = …………………… °    \(b\) = …………………… °    \(c\) = …………………… °