OCR MEI C4 2013 June — Question 5 7 marks

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2013
SessionJune
Marks7
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCurve Sketching
TypeOptimization and assignment problems
DifficultyStandard +0.3 This is a straightforward application question requiring substitution into a given formula (Equation 3) and then using standard sunset calculation procedures. While it involves multiple steps and careful arithmetic with trigonometric functions, it requires no novel insight or problem-solving—students simply follow the established method for sunset calculations that would have been taught. The 7 marks reflect computational work rather than conceptual difficulty.
  1. Use Equation (3) to calculate the declination of the sun on February 2nd. [3]
  2. The town of Boston, in Lincolnshire, has latitude \(53°\) north and longitude \(0°\). Calculate the time of sunset in Boston on February 2nd. Give your answer in hours and minutes using the 24-hour clock. [4]
Question 5:
5 (i)
5 (ii)
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6
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Question 5:
--- 5 (i) ---
5 (i)
--- 5 (ii) ---
5 (ii)
PMT
6
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PLEASE DO NOT WRITE ON THIS PAGE
© OCR 2013
PMT
7
BLANK PAGE
PLEASE DO NOT WRITE ON THIS PAGE
© OCR 2013
PMT
8
PLEASE DO NOT WRITE ON THIS PAGE
Copyright Information
OCR is committed to seeking permission to reproduce all third-party content that it uses in its assessment materials. OCR has attempted to identify and contact all copyright holders
whose work is used in this paper. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced in the OCR Copyright
Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download from our public website (www.ocr.org.uk) after the live examination series.
If OCR has unwittingly failed to correctly acknowledge or clear any third-party content in this assessment material, OCR will be happy to correct its mistake at the earliest possible
opportunity.
For queries or further information please contact the Copyright Team, First Floor, 9 Hills Road, Cambridge CB2 1GE.
OCR is part of the Cambridge Assessment Group; Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a
department of the University of Cambridge.
© OCR 2013
\begin{enumerate}[label=(\roman*)]
\item Use Equation (3) to calculate the declination of the sun on February 2nd. [3]

\item The town of Boston, in Lincolnshire, has latitude $53°$ north and longitude $0°$.

Calculate the time of sunset in Boston on February 2nd.

Give your answer in hours and minutes using the 24-hour clock. [4]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C4 2013 Q5 [7]}}
This paper (12 questions)
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Q1 8 Q1 2 Q2 7 Q2 3 Q3 7 Q3 2 Q4 8 Q4 4 Q5 6 Q5 7 Q6 18 Q7 18