OCR MEI C1 2012 January — Question 4 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2012
SessionJanuary
Marks5
PaperDownload PDF ↗
TopicIndices and Surds
TypeExpand and simplify surd expressions
DifficultyEasy -1.2 This is a straightforward C1 question testing basic surd manipulation skills. Part (i) requires routine expansion using FOIL and collecting like terms, while part (ii) involves simplifying surds and rationalizing denominators—both are standard textbook exercises requiring only procedural recall with no problem-solving or insight needed.
Spec1.02b Surds: manipulation and rationalising denominators

4
  1. Expand and simplify \(( 7 + 3 \sqrt { 2 } ) ( 5 - 2 \sqrt { 2 } )\).
  2. Simplify \(\sqrt { 54 } + \frac { 12 } { \sqrt { 6 } }\).

4 (i) Expand and simplify $( 7 + 3 \sqrt { 2 } ) ( 5 - 2 \sqrt { 2 } )$.\\
(ii) Simplify $\sqrt { 54 } + \frac { 12 } { \sqrt { 6 } }$.

\hfill \mbox{\textit{OCR MEI C1 2012 Q4 [5]}}