OCR MEI C1 — Question 6 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeEvaluate numerical powers
DifficultyEasy -1.8 This is a straightforward recall question testing basic index laws with no problem-solving required. Both parts involve direct application of negative and fractional powers to simple fractions, making it easier than the calibration example at -1.5 which at least required two separate evaluations of the same base.
Spec1.02a Indices: laws of indices for rational exponents
  1. Evaluate \(\left(\frac{1}{5}\right)^{-2}\). [2]
  2. Evaluate \(\left(\frac{8}{27}\right)^{\frac{2}{3}}\). [2]
Question 6:
AnswerMarks Guidance
6(i) 25
[2]1  1  1 25
M1 for or or 52 or
 
1 25 1
25
AnswerMarks Guidance
6(ii) 4
92
[2]1 2 2 2 64
M1 for 4 or 9 or or or   or 3
9 3 3 729
AnswerMarks
seen1
 64 3
0 for just
 
729
AnswerMarks Guidance
Quueessttioner Marks 
Question 6:
6 | (i) | 25 | 2
[2] | 1  1  1 25
M1 for or or 52 or
 
1 25 1
25
6 | (ii) | 4
9 | 2
[2] | 1 2 2 2 64
M1 for 4 or 9 or or or   or 3
9 3 3 729
seen | 1
 64 3
0 for just
 
729
Quueessttion | er | Marks | Guidance
\begin{enumerate}[label=(\roman*)]
\item Evaluate $\left(\frac{1}{5}\right)^{-2}$. [2]
\item Evaluate $\left(\frac{8}{27}\right)^{\frac{2}{3}}$. [2]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1  Q6 [4]}}
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Q1 4 Q2 5 Q3 4 Q4 5 Q5 4 Q6 4 Q7 5 Q8 5 Q9 3 Q10 5 Q11 4