OCR C1 — Question 3 4 marks

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeExpand and simplify surd expressions
DifficultyEasy -1.2 This is a straightforward C1 question testing basic surd manipulation: rationalizing a simple denominator and expanding brackets with surds. Both parts require only direct application of standard techniques with no problem-solving or insight needed, making it easier than average.
Spec1.02b Surds: manipulation and rationalising denominators

3. (i) Express \(\frac { 18 } { \sqrt { 3 } }\) in the form \(k \sqrt { 3 }\).
(ii) Express \(( 1 - \sqrt { 3 } ) ( 4 - 2 \sqrt { 3 } )\) in the form \(a + b \sqrt { 3 }\) where \(a\) and \(b\) are integers.

3. (i) Express $\frac { 18 } { \sqrt { 3 } }$ in the form $k \sqrt { 3 }$.\\
(ii) Express $( 1 - \sqrt { 3 } ) ( 4 - 2 \sqrt { 3 } )$ in the form $a + b \sqrt { 3 }$ where $a$ and $b$ are integers.\\

\hfill \mbox{\textit{OCR C1  Q3 [4]}}