OCR MEI C1 — Question 5 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks4
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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 indices to simple numbers, making it easier than the calibration example at -1.5 which had similar content but slightly more parts.
Spec1.02a Indices: laws of indices for rational exponents
Find the value of each of the following.
  1. \(\left(\frac{5}{3}\right)^{-2}\) [2]
  2. \(81^{\frac{1}{4}}\) [2]
Question 5:
AnswerMarks Guidance
5(i) 9
or 0.36 isw
AnswerMarks
252
[2]M1 for numerator or denominator correct or
for squaring correctly or for inverting
AnswerMarks
correctly1
1  25  25
M1 for eg or or or
 
 25   9  9
 
 9 
2
 3  3
for or
 
 5  5
1
M0 for just
2
 5 
 
 3 
AnswerMarks Guidance
5(ii) 27
[2]1
M1 for 814  3 soieg M1 for 33
M0 for 813= 531441 (true but not
helpful)
Question 5:
5 | (i) | 9
or 0.36 isw
25 | 2
[2] | M1 for numerator or denominator correct or
for squaring correctly or for inverting
correctly | 1
1  25  25
M1 for eg or or or
 
 25   9  9
 
 9 
2
 3  3
for or
 
 5  5
1
M0 for just
2
 5 
 
 3 
5 | (ii) | 27 | 2
[2] | 1
M1 for 814  3 soi | eg M1 for 33
M0 for 813= 531441 (true but not
helpful)
Find the value of each of the following.

\begin{enumerate}[label=(\roman*)]
\item $\left(\frac{5}{3}\right)^{-2}$ [2]
\item $81^{\frac{1}{4}}$ [2]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1  Q5 [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