| Exam Board | AQA |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2006 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Expand and simplify surd expressions |
| Difficulty | Easy -1.2 This is a straightforward surd manipulation question requiring only routine algebraic expansion and simplification. Part (a) involves basic FOIL expansion with surds, and part (b) requires recognizing that √75 = 5√3 and √27 = 3√3, then simplifying—both are standard textbook exercises with no problem-solving insight needed. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
4
\begin{enumerate}[label=(\alph*)]
\item Express $( 4 \sqrt { 5 } - 1 ) ( \sqrt { 5 } + 3 )$ in the form $p + q \sqrt { 5 }$, where $p$ and $q$ are integers.
\item Show that $\frac { \sqrt { 75 } - \sqrt { 27 } } { \sqrt { 3 } }$ is an integer and find its value.
\end{enumerate}
\hfill \mbox{\textit{AQA C1 2006 Q4 [6]}}