OCR C1 — Question 2 4 marks

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeSimplify numerical surds
DifficultyEasy -1.2 This is a straightforward surd simplification requiring students to factor 22.5 = 225/10 = (15/√10)² or equivalently 22.5 = 2.25 × 10, then simplify to get 1.5√10. It's a routine C1 exercise testing basic surd manipulation with no problem-solving required, though the decimal form makes it slightly less trivial than integer-based surd questions.
Spec1.02b Surds: manipulation and rationalising denominators

Express \(\sqrt{22.5}\) in the form \(k\sqrt{10}\). [4]

Express $\sqrt{22.5}$ in the form $k\sqrt{10}$. [4]

\hfill \mbox{\textit{OCR C1  Q2 [4]}}