| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve power equations |
| Difficulty | Easy -1.2 Part (i) is straightforward evaluation of fractional powers with simple numbers (36^(1/2)=6, 16^(1/4)=2, then 8^(1/3)=2). Part (ii) is a basic rearrangement of a negative fractional power equation requiring only algebraic manipulation. Both parts are routine recall and application of index laws with no problem-solving required, making this easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02f Solve quadratic equations: including in a function of unknown |
4. (i) Evaluate
$$\left( 36 ^ { \frac { 1 } { 2 } } + 16 ^ { \frac { 1 } { 4 } } \right) ^ { \frac { 1 } { 3 } }$$
(ii) Solve the equation
$$3 x ^ { - \frac { 1 } { 2 } } - 4 = 0 .$$
\hfill \mbox{\textit{OCR C1 Q4 [6]}}