OCR MEI C1 2009 June — Question 8 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2009
SessionJune
Marks5
PaperDownload PDF ↗
TopicIndices and Surds
TypeExpand and simplify surd expressions
DifficultyEasy -1.3 This is a straightforward two-part question testing basic surd manipulation skills. Part (i) requires simplifying square roots and canceling (routine technique), while part (ii) is a standard expansion using $(a-b)^2$ with minimal algebraic complexity. Both are textbook exercises requiring only recall and careful arithmetic, making this easier than average for A-level.
Spec1.02b Surds: manipulation and rationalising denominators

  1. Simplify \(\frac{\sqrt{48}}{2\sqrt{27}}\). [2]
  2. Expand and simplify \((5 - 3\sqrt{2})^2\). [3]

\begin{enumerate}[label=(\roman*)]
\item Simplify $\frac{\sqrt{48}}{2\sqrt{27}}$. [2]
\item Expand and simplify $(5 - 3\sqrt{2})^2$. [3]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1 2009 Q8 [5]}}