Foundation November 2023 Paper 1 Q12

12 \(P = 2g + 4h\)

(a)

(i) Work out the value of \(P\) when \(g = 3\) and \(h = 5\) (2)

(ii) Work out the value of \(g\) when \(P = 38\) and \(h = 3\) (2)

\(V = 3r - q\)

(b) Work out the value of \(V\) when \(r = -3\) and \(q = 2\) (2)

Answer	Mark	Mark scheme
26	M1	for substitution eg \(2 \times 3 + 4 \times 5\) or \(6 + 20\)
A1	cao

Mark scheme (a)(ii)

Answer	Mark	Mark scheme
13	M1	for substitution eg \(38 = 2g + 4 \times 3\) or a complete numerical method eg \((38 - 4 \times 3) \div 2\) or for a correct first step to rearrange eg \(P - 4h = 2g\) or \(\dfrac{P}{2} = g + \dfrac{4h}{2}\) oe
13	A1	cao