| Exam Board | Edexcel |
|---|---|
| Module | P1 (Pure Mathematics 1) |
| Year | 2020 |
| Session | October |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Find constants in identity |
| Difficulty | Easy -1.2 This is a straightforward algebraic manipulation question requiring only routine application of index laws (power of a product, multiplication of powers, and converting a square root to fractional index). It's a standard P1/AS-level exercise with clear mechanical steps and no problem-solving insight required, making it easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \(a = 162\) | B1 | |
| \(b = 5\) | B1 | Condone \(p = 5\) |
| \(c = 12\) | B1 | Condone \(q = 12\) |
# Question 1:
| Answer | Mark | Guidance |
|--------|------|----------|
| $a = 162$ | B1 | |
| $b = 5$ | B1 | Condone $p = 5$ |
| $c = 12$ | B1 | Condone $q = 12$ |
**Notes:** Values may be implied by their expression. If contradiction between final expression and stated values, treat as isw.
---\begin{enumerate}
\item Given that
\end{enumerate}
$$\left( 3 p q ^ { 2 } \right) ^ { 4 } \times 2 p \sqrt { q ^ { 8 } } \equiv a p ^ { b } q ^ { c }$$
find the values of the constants $a , b$ and $c$.\\
\hfill \mbox{\textit{Edexcel P1 2020 Q1 [3]}}