| 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. Part (i) requires simple expansion using FOIL and collecting like terms. Part (ii) involves simplifying surds and rationalizing denominators—both routine procedures with no problem-solving element. Easier than average A-level content. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
# Question 1
## (i)
$31 + 6\sqrt{5}$ [3]
B2 for $31$ or B1 for $9 \times 40$ or SC1 for $49$
and B1 for $6\sqrt{5}$
If 0, allow M1 for three terms correct in $96 + 512 + 540$
## (ii)
$22\sqrt{2}$ [2]
$32$
M1 for $726\sqrt{2}$ soi or for $16\sqrt{2}$
$\frac{1232}{2}$ soi or for oe1 (i) Expand and simplify $( 3 + 4 \sqrt { 5 } ) ( 3 - 2 \sqrt { 5 } )$.\\
(ii) Express $\sqrt { 72 } + \frac { 32 } { \sqrt { 2 } }$ in the form $a \sqrt { b }$, where $a$ and $b$ are integers and $b$ is as small as possible.
\hfill \mbox{\textit{OCR MEI C1 Q1 [5]}}