OCR MEI C1 — Question 4 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSolving quadratics and applications
TypeRearranging formula - single step isolation (square/root/fraction)
DifficultyEasy -1.8 This is a straightforward algebraic rearrangement requiring only expansion of brackets and basic manipulation to isolate h. No quadratic solving is needed despite the topic label, as h appears linearly. This is simpler than typical A-level questions as it's pure mechanical manipulation with no problem-solving element.
Spec1.02a Indices: laws of indices for rational exponents
4 The surface area of the surface of a cylinder is given by the formula $$A = 2 \pi r ( r + h )$$ Rearrange this formula so that \(h\) is the subject.
\(A = 2\pi r(r + h)\)
\(\Rightarrow \frac{A}{2\pi r} = r + h\)
AnswerMarks
\(\Rightarrow h = \frac{A}{2\pi r} - r\)M1, M1, A1 
$A = 2\pi r(r + h)$

$\Rightarrow \frac{A}{2\pi r} = r + h$

$\Rightarrow h = \frac{A}{2\pi r} - r$ | M1, M1, A1 |
4 The surface area of the surface of a cylinder is given by the formula

$$A = 2 \pi r ( r + h )$$

Rearrange this formula so that $h$ is the subject.

\hfill \mbox{\textit{OCR MEI C1  Q4 [3]}}
This paper (13 questions)
View full paper
Q1 2 Q2 3 Q3 3 Q4 3 Q5 3 Q6 3 Q7 5 Q8 5 Q9 4 Q10 5 Q11 12 Q12 12 Q13 12