OCR MEI C1 — Question 3 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeExpand and simplify surd expressions
DifficultyEasy -1.2 This is a straightforward surd expansion requiring only the formula (x-y)² = x² - 2xy + y², followed by simplification. It's a standard textbook exercise with no problem-solving element—students simply apply a memorized algebraic identity and combine like terms. Easier than average for A-level.
Spec1.02b Surds: manipulation and rationalising denominators

3 Write \(( \sqrt { 3 } - \sqrt { 2 } ) ^ { 2 }\) in the form \(a + b \sqrt { 6 }\) where \(a\) and \(b\) are integers to be determined.

Question 3:
AnswerMarks Guidance
\((\sqrt{3}-\sqrt{2})^2 = 3-2\sqrt{3}\sqrt{2}+2 = 5-2\sqrt{6}\)M1 Expand
A1Middle term (\(a\))
A1(\(b\))
Total: 4 (4 marks shown with M1, A1, A1, A1)
## Question 3:
$(\sqrt{3}-\sqrt{2})^2 = 3-2\sqrt{3}\sqrt{2}+2 = 5-2\sqrt{6}$ | M1 | Expand
| A1 | Middle term ($a$)
| A1 | ($b$)
**Total: 4** (4 marks shown with M1, A1, A1, A1)

---
3 Write $( \sqrt { 3 } - \sqrt { 2 } ) ^ { 2 }$ in the form $a + b \sqrt { 6 }$ where $a$ and $b$ are integers to be determined.

\hfill \mbox{\textit{OCR MEI C1  Q3 [4]}}