OCR MEI Paper 1 2020 November — Question 1 2 marks

Exam BoardOCR MEI
ModulePaper 1 (Paper 1)
Year2020
SessionNovember
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeSimplify algebraic expressions with indices
DifficultyEasy -1.3 This is a straightforward application of index laws requiring students to apply fractional powers to both numerator and denominator, then multiply and simplify. It involves routine manipulation (27^(2/3) = 9, x^(-6) × x^4 = x^(-2)) with no problem-solving or conceptual insight needed, making it easier than average but not trivial.
Spec1.02a Indices: laws of indices for rational exponents

1 Simplify \(\left( \frac { 27 } { x ^ { 9 } } \right) ^ { \frac { 2 } { 3 } } \times \left( \frac { x ^ { 4 } } { 9 } \right)\).
[0pt] [2]

Question 1:
AnswerMarks Guidance
Answer/WorkingMarks Guidance
\(x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\)M1 Method for solving quadratic
\(x = 3\)A1 cao
Please share the remaining pages and I'll extract accordingly.
Mark Scheme H640/01 November 2020
Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
\(\left(\frac{27}{x^9}\right)^{\frac{2}{3}} \times \left(\frac{x^4}{9}\right) = \left(\frac{9}{x^6}\right) \times \left(\frac{x^4}{9}\right) = \frac{1}{x^2}\)M1, A1 [2] M1: \(\frac{1}{x^6}\) soi. A1: Fully simplified. Allow \(x^{-2}\) oe
**Question 1:**
| Answer/Working | Marks | Guidance |
|---|---|---|
| $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$ | M1 | Method for solving quadratic |
| $x = 3$ | A1 | cao |

Please share the remaining pages and I'll extract accordingly.

# Mark Scheme H640/01 November 2020

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## Question 1:

| Answer | Marks | Guidance |
|--------|-------|----------|
| $\left(\frac{27}{x^9}\right)^{\frac{2}{3}} \times \left(\frac{x^4}{9}\right) = \left(\frac{9}{x^6}\right) \times \left(\frac{x^4}{9}\right) = \frac{1}{x^2}$ | M1, A1 [2] | M1: $\frac{1}{x^6}$ soi. A1: Fully simplified. Allow $x^{-2}$ oe |

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1 Simplify $\left( \frac { 27 } { x ^ { 9 } } \right) ^ { \frac { 2 } { 3 } } \times \left( \frac { x ^ { 4 } } { 9 } \right)$.\\[0pt]
[2]

\hfill \mbox{\textit{OCR MEI Paper 1 2020 Q1 [2]}}