Higher June 2025 Paper 5 Q13
13 \(p\) is directly proportional to the square root of \(m\).
\(p = 15\) when \(m = 25\).
Find the value of \(p\) when \(m = 81\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 27 | 3 | B2 for [\(p\) =] \(3\sqrt{m}\) oe or [\(p\) =] \(3\sqrt{81}\) oe or M2 for \(15 \times \sqrt{\frac{81}{25}}\) oe | oe e.g. \(p = 3m^{\frac{1}{2}}\), \(\frac{p}{\sqrt{m}} = 3\), \(\frac{p}{3} = \sqrt{81}\) |
| or M1 for \(p = k\sqrt{m}\) oe or better M1 for \(p = \textit{their } k \sqrt{81}\) oe | oe e.g. \(p = km^{\frac{1}{2}}\), \(\frac{p}{\sqrt{m}} = k\), \(pk = \sqrt{m}\) their k must be numeric | ||