OCR MEI C1 — Question 2 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSolving quadratics and applications
TypeRearranging formula - multi-step isolation with nested operations
DifficultyModerate -0.8 This is a straightforward algebraic manipulation requiring squaring both sides and rearranging. It involves basic operations (squaring, dividing) with no conceptual difficulty beyond recognizing the need to isolate the square root first. Simpler than average A-level questions as it's a single-technique problem with clear steps.
Spec1.02a Indices: laws of indices for rational exponents
2 Make \(l\) the subject of the formula \(T = 2 \pi \sqrt { \frac { l } { g } }\).
Question 2:
AnswerMarks Guidance
\(T = 2\pi\sqrt{\frac{l}{g}} \Rightarrow T^2 = \frac{4\pi^2 l}{g}\)M1 Square
\(\Rightarrow l = \frac{T^2 g}{4\pi^2}\)M1 A1 Cross-multiply, c.a.o 
## Question 2:
$T = 2\pi\sqrt{\frac{l}{g}} \Rightarrow T^2 = \frac{4\pi^2 l}{g}$ | M1 | Square
$\Rightarrow l = \frac{T^2 g}{4\pi^2}$ | M1 A1 | Cross-multiply, c.a.o

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2 Make $l$ the subject of the formula $T = 2 \pi \sqrt { \frac { l } { g } }$.

\hfill \mbox{\textit{OCR MEI C1  Q2 [3]}}
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