| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Solving quadratics and applications |
| Type | Substitution to solve disguised quadratic |
| Difficulty | Moderate -0.3 Part (i) is a straightforward quadratic requiring rearrangement to standard form and factorisation/formula. Part (ii) requires recognising the substitution y = x^(3/2), then back-substituting to find x values. This is a standard C1 'hence' question testing substitution technique with slightly more steps than average, but follows a predictable pattern with no novel insight required. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown |
3. (i) Solve the equation
$$y ^ { 2 } + 8 = 9 y .$$
(ii) Hence solve the equation
$$x ^ { 3 } + 8 = 9 x ^ { \frac { 3 } { 2 } } .$$
\hfill \mbox{\textit{OCR C1 Q3 [5]}}