Higher November 2024 Paper 4 Q12
12 \(y\) is directly proportional to the square of \(t\).
\(y = 14\) when \(t = 2\).
\(t\) is directly proportional to \(x\).
\(t = 12\) when \(x = 3\).
Find a formula for \(y\) in terms of \(x\).
Give your answer in its simplest form.
You must show your working. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [\(y\) =] \(56x^2\) with correct working | 6 | B2 for \(y = 3.5t^2\) or M1 for \(y = kt^2\) or better e.g. \(14 = k2^2\) or \(k = 3.5\) B2 for \(t = 4x\) or M1 for \(t = mx\) or better e.g. \(12 = m3\) or \(m = 4\) M1 for \(y = 3.5(4x)^2\) If 0, 1 or 2 scored, instead award SC3 for \(y = 56x^2\) with no working or insufficient working | “Correct working” requires evidence of at least M1M1 or B2 condone e.g. \(y = kt^2\) and \(k = 3.5\) for B2 condone e.g. \(t = mx\) and \(m = 4\) for B2 for M1FT allow combining their two expressions for \(y\) and \(t\) |