OCR C1 2009 January — Question 1 3 marks

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2009
SessionJanuary
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeSimplify numerical surds
DifficultyEasy -1.2 This is a routine surd simplification requiring only basic techniques: simplifying √45 = 3√5 and rationalizing 20/√5 = 4√5, then combining like terms. It's a standard textbook exercise with straightforward steps and no problem-solving insight required, making it easier than average.
Spec1.02b Surds: manipulation and rationalising denominators

1 Express \(\sqrt { 45 } + \frac { 20 } { \sqrt { 5 } }\) in the form \(k \sqrt { 5 }\), where \(k\) is an integer.

1 Express $\sqrt { 45 } + \frac { 20 } { \sqrt { 5 } }$ in the form $k \sqrt { 5 }$, where $k$ is an integer.

\hfill \mbox{\textit{OCR C1 2009 Q1 [3]}}