| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Easy -1.2 This is a straightforward C1 question testing basic surd manipulation: simplifying surds using prime factorization and rationalizing a denominator with a binomial. Both parts are standard textbook exercises requiring only routine application of well-practiced techniques with no problem-solving or insight needed. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
| Answer | Marks | Guidance |
|---|---|---|
| \(9\sqrt{3}\) | 2 marks | M1 for \(5\sqrt{3}\) or \(4\sqrt{3}\) seen |
| Answer | Marks | Guidance |
|---|---|---|
| \(6\sqrt{2}\) (www) | 3 marks | M1 for attempt to multiply numerator and denominator by \(3 + \sqrt{2}\); and M1 for denominator \(= 7\) or \(9 - 2\) soi from denominator multiplied by \(3 + \sqrt{2}\) |
## Question 11:
**(i)**
$9\sqrt{3}$ | 2 marks | M1 for $5\sqrt{3}$ or $4\sqrt{3}$ seen
**(ii)**
$6\sqrt{2}$ (www) | 3 marks | M1 for attempt to multiply numerator and denominator by $3 + \sqrt{2}$; and M1 for denominator $= 7$ or $9 - 2$ soi from denominator multiplied by $3 + \sqrt{2}$
---11 (i) Express $\sqrt { 75 } + \sqrt { 48 }$ in the form $a \sqrt { 3 }$.\\
(ii) Express $\frac { 14 } { 3 - \sqrt { 2 } }$ in the form $b + c \sqrt { d }$.
\hfill \mbox{\textit{OCR MEI C1 Q11 [5]}}