| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2018 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Moderate -0.8 This is a straightforward surds question testing algebraic manipulation and rationalizing denominators. Part (a) requires expanding brackets and simplifying (difference of two squares pattern), while part (b) is standard rationalization by multiplying by the conjugate. Both are routine textbook exercises with no problem-solving insight required, making this easier than average. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
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Question 1:
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1 | 8Showing all your working, simplify
a) $\frac { 24 \sqrt { a } } { ( \sqrt { a } + 3 ) ^ { 2 } - ( \sqrt { a } - 3 ) ^ { 2 } }$,\\
b) $\frac { 3 \sqrt { 7 } + 5 \sqrt { 3 } } { \sqrt { 7 } + \sqrt { 3 } }$.
\hfill \mbox{\textit{WJEC Unit 1 2018 Q1}}