OCR MEI C1 — Question 11 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. Part (i) requires recognizing cube roots and part (ii) requires knowing negative exponents flip fractions—both are fundamental C1 skills with minimal computational steps. This is easier than the calibration example at -1.5 as it's even more direct.
Spec1.02a Indices: laws of indices for rational exponents

Find the value of each of the following, giving each answer as an integer or fraction as appropriate.
  1. \(8^{\frac{1}{3}}\) [2]
  2. \(\left(\frac{7}{3}\right)^{-2}\) [2]

Question 11:
AnswerMarks
11(ii))
9
(ii) as final answer
AnswerMarks
492
2M1 for 25 1 2 = 25soi or for 253
1
M1 for a−1 = soi eg by 3/7 or 3/49
AnswerMarks
a4
Question 11:
11 | (ii))
9
(ii) as final answer
49 | 2
2 | M1 for 25 1 2 = 25soi or for 253
1
M1 for a−1 = soi eg by 3/7 or 3/49
a | 4
Find the value of each of the following, giving each answer as an integer or fraction as appropriate.
\begin{enumerate}[label=(\roman*)]
\item $8^{\frac{1}{3}}$ [2]

\item $\left(\frac{7}{3}\right)^{-2}$ [2]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1  Q11 [4]}}