| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve power equations |
| Difficulty | Moderate -0.3 This is a straightforward C1 question on fractional indices. Part (i) requires substitution and simplification with rationalizing, which is routine. Part (ii) involves factoring out x^(-1/2) and solving a simple quadratic-type equation. Both parts use standard techniques with no problem-solving insight required, making it slightly easier than average but not trivial due to the algebraic manipulation needed. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02b Surds: manipulation and rationalising denominators |
6.
$$f ( x ) = x ^ { \frac { 3 } { 2 } } - 8 x ^ { - \frac { 1 } { 2 } }$$
(i) Evaluate $\mathrm { f } ( 3 )$, giving your answer in its simplest form with a rational denominator.\\
(ii) Solve the equation $\mathrm { f } ( x ) = 0$, giving your answers in the form $k \sqrt { 2 }$.\\
\hfill \mbox{\textit{OCR C1 Q6 [7]}}