| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2007 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Solving quadratics and applications |
| Type | Quadratic with surd roots, exact form |
| Difficulty | Standard +0.8 This question requires students to perform careful algebraic manipulation with surds and fractions, including recognizing that the sum and product simplify to the same value. While the arithmetic is straightforward in principle, the presence of nested surds and fractions makes it more prone to errors than typical C1 questions, and students must work systematically through multiple steps without computational mistakes. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
7 You are given that $a = \frac { 3 } { 2 } , b = \frac { 9 - \sqrt { 17 } } { 4 }$ and $c = \frac { 9 + \sqrt { 17 } } { 4 }$. Show that $a + b + c = a b c$.
\hfill \mbox{\textit{OCR MEI C1 2007 Q7 [4]}}