| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Expand and simplify surd expressions |
| Difficulty | Easy -1.2 This is a straightforward C1 question testing basic surd manipulation skills. Part (i) requires simplifying surds by factoring out perfect squares (48=16×3, 27=9×3) then canceling, while part (ii) is a standard binomial expansion. Both are routine textbook exercises requiring only direct application of learned techniques with no problem-solving or insight needed. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
| Answer | Marks | Guidance |
|---|---|---|
| \(2\) (www) | 2 marks | M1 for \(4/6\) or for \(\sqrt{48} = 2\sqrt{12}\) or \(4\sqrt{3}\) or \(\sqrt{27} = 3\sqrt{3}\) or \(\sqrt{108} = 3\sqrt{12}\) or for \(\sqrt{\dfrac{4}{9}}\) |
| Answer | Marks | Guidance |
|---|---|---|
| \(43 - 30\sqrt{2}\) (www as final answer) | 3 marks | M2 for 3 terms correct of \(25 - 15\sqrt{2} - 15\sqrt{2} + 18\) soi; M1 for 2 terms correct |
## Question 10:
**(i)**
$2$ (www) | 2 marks | M1 for $4/6$ or for $\sqrt{48} = 2\sqrt{12}$ or $4\sqrt{3}$ or $\sqrt{27} = 3\sqrt{3}$ or $\sqrt{108} = 3\sqrt{12}$ or for $\sqrt{\dfrac{4}{9}}$
**(ii)**
$43 - 30\sqrt{2}$ (www as final answer) | 3 marks | M2 for 3 terms correct of $25 - 15\sqrt{2} - 15\sqrt{2} + 18$ soi; M1 for 2 terms correct
---10 (i) Simplify $\frac { \sqrt { 48 } } { 2 \sqrt { 27 } }$.\\
(ii) Expand and simplify $( 5 - 3 \sqrt { 2 } ) ^ { 2 }$.
\hfill \mbox{\textit{OCR MEI C1 Q10 [5]}}