OCR MEI C1 — Question 4 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeSimplify algebraic expressions with indices
DifficultyEasy -1.3 This is a straightforward C1 question testing basic index laws with no problem-solving required. Part (i) involves simple negative power evaluation, and part (ii) requires applying fractional powers to a simple expression—both are routine recall exercises slightly easier than average A-level questions.
Spec1.02a Indices: laws of indices for rational exponents

  1. Evaluate \((0.2)^{-2}\). [2]
  2. Simplify \((16a^{12})^{\frac{3}{4}}\). [3]

Question 4:
AnswerMarks Guidance
4(i) 25
[2]10 2  1  2
M1 for or oe soi
   
 2  0.2
1
or for oe
AnswerMarks
0.04ie M1 for one of the two powers used
correctly
1
M0 for just with no other working
0.4
AnswerMarks Guidance
4(ii) 8a9
[3]1
B2 for 8 or M1 for 164 2 soi
AnswerMarks
and B1 for a9ignore ±
eg M1 for 23; M0 for just 2
Question 4:
4 | (i) | 25 | 2
[2] | 10 2  1  2
M1 for or oe soi
   
 2  0.2
1
or for oe
0.04 | ie M1 for one of the two powers used
correctly
1
M0 for just with no other working
0.4
4 | (ii) | 8a9 | 3
[3] | 1
B2 for 8 or M1 for 164 2 soi
and B1 for a9 | ignore ±
eg M1 for 23; M0 for just 2
\begin{enumerate}[label=(\roman*)]
\item Evaluate $(0.2)^{-2}$. [2]
\item Simplify $(16a^{12})^{\frac{3}{4}}$. [3]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1  Q4 [5]}}