4MA0 Higher June 2016 Paper 4 Q13
13 \(M\) is directly proportional to \(p^3\)
\(M = 128\) when \(p = 8\)
(a) Find a formula for \(M\) in terms of \(p\). (3)
(b) Find the value of \(M\) when \(p = 5\) (1)
| Scheme | Marks |
|---|---|
| \(M = k \times p^3\) | M1 |
| \(128 = k \times 8^3\) | M1 |
| \(M = 0.25p^3\) | A1 |
| (3) |
Notes
M1: For \(M = kp^3\) or \(p^3 = \dfrac{M}{k}\) oe
Do not allow \(M = p^3\) oe
M1: For a correct substitution into a correct equation.
Implies first M1.
A1: Award M2 if \(k = 0.25\) stated unambiguously in (a) or (b).
Award 3 marks if answer is \(M = kp^3\) but \(k\) is evaluated in part (b)
| Scheme | Marks |
|---|---|
| 31.25 | B1ft |
| (1) |
Notes
B1ft: for their value of \(k\) only for equations of the form \(M = kp^3\) oe and if \(k \neq 1\)