| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve power equations |
| Difficulty | Easy -1.3 Part (a) requires straightforward evaluation of fractional powers with no algebraic manipulation. Part (b) is a simple one-step rearrangement to isolate x with basic index manipulation. Both are routine recall exercises with minimal problem-solving, making this easier than average for A-level. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks | Guidance |
|---|---|---|
| (a) \((6 + \sqrt[3]{16})^3\) | B1 M1 | |
| \(= (6 + 2)^3 = \sqrt[3]{8} = 2\) | A1 | |
| (b) \(\frac{3}{\sqrt{x}} = 4\) | M1 | |
| \(\sqrt{x} = \frac{3}{4}\) | M1 | |
| \(x = \frac{9}{16}\) | A1 | (6) |
(a) $(6 + \sqrt[3]{16})^3$ | B1 M1 |
$= (6 + 2)^3 = \sqrt[3]{8} = 2$ | A1 |
(b) $\frac{3}{\sqrt{x}} = 4$ | M1 |
$\sqrt{x} = \frac{3}{4}$ | M1 |
$x = \frac{9}{16}$ | A1 | (6)\begin{enumerate}
\item (a) Evaluate
\end{enumerate}
$$\left( 36 ^ { \frac { 1 } { 2 } } + 16 ^ { \frac { 1 } { 4 } } \right) ^ { \frac { 1 } { 3 } }$$
(b) Solve the equation
$$3 x ^ { - \frac { 1 } { 2 } } - 4 = 0 .$$
\hfill \mbox{\textit{Edexcel C1 Q4 [6]}}