OCR MEI C1 — Question 8 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 and algebraic manipulation. Part (i) is simple recall of fractional/negative indices, and part (ii) requires routine application of power rules and simplification. Both parts are standard textbook exercises with no problem-solving element, making this easier than average.
Spec1.02a Indices: laws of indices for rational exponents

  1. Evaluate \(9^{-\frac{1}{2}}\). [2]
  2. Simplify \(\frac{(4x^4)^3 y^2}{2x^4 y^5}\). [3]

Question 8:
AnswerMarks Guidance
8(i) 1
as final answer
AnswerMarks
32
[2]1
allow 
3
1
M1 for or for 91 2  9or 3 soi
1
AnswerMarks Guidance
92eg M1 for 3-1
8(ii) 32x10
32x10y-3 or oe as final answer
AnswerMarks
y33
[3]B1 for each element
if B0, allow M1 for (4x4)3 = 64x12allow 25 instead of 32
Question 8:
8 | (i) | 1
as final answer
3 | 2
[2] | 1
allow 
3
1
M1 for or for 91 2  9or 3 soi
1
92 | eg M1 for 3-1
8 | (ii) | 32x10
32x10y-3 or oe as final answer
y3 | 3
[3] | B1 for each element
if B0, allow M1 for (4x4)3 = 64x12 | allow 25 instead of 32
\begin{enumerate}[label=(\roman*)]
\item Evaluate $9^{-\frac{1}{2}}$. [2]
\item Simplify $\frac{(4x^4)^3 y^2}{2x^4 y^5}$. [3]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1  Q8 [5]}}