| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Verify factor then simplify rational expression |
| Difficulty | Easy -1.3 This is a straightforward C1 question testing basic algebraic manipulation. Part (i) requires simple index law application and multiplication. Part (ii) involves standard factorisation patterns (difference of squares and quadratic trinomial) followed by routine algebraic fraction simplification. These are fundamental skills with no problem-solving or novel insight required, making it easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02j Manipulate polynomials: expanding, factorising, division, factor theorem1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
| Answer | Marks |
|---|---|
| 2 | (ii)) a5b3 as final answer |
| Answer | Marks |
|---|---|
| x−3 | 2 |
| Answer | Marks |
|---|---|
| A1 | 1 for 2 ‘terms’ correct in final answer |
| Answer | Marks |
|---|---|
| seen separately | 5 |
Question 2:
2 | (ii)) a5b3 as final answer
(x+2)(x−2)
(ii)
(x−2)(x−3)
x+2
as final answer
x−3 | 2
M2
A1 | 1 for 2 ‘terms’ correct in final answer
M1 for each of numerator or denom.
correct or M1, M1 for correct factors
seen separately | 5\begin{enumerate}[label=(\roman*)]
\item Simplify $3a^3b \times 4(ab)^2$. [2]
\item Factorise $x^2 - 4$ and $x^2 - 5x + 6$.
Hence express $\frac{x^2 - 4}{x^2 - 5x + 6}$ as a fraction in its simplest form. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C1 Q2 [5]}}