| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2007 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Simplify algebraic expressions with indices |
| Difficulty | Easy -1.3 This question tests basic recall of index laws with no problem-solving required. Part (i) involves taking a cube root of a simple expression, and part (ii) is direct application of negative index rules. Both are routine textbook exercises requiring only mechanical application of standard rules, making this easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks | Guidance |
|---|---|---|
| \(a^3 = 64x^{12}y^3\) | M1 | Recognising cube root needed |
| \(a = 4x^4y\) | A1 | Correct answer |
| Answer | Marks | Guidance |
|---|---|---|
| \(\left(\frac{1}{2}\right)^{-5} = 2^5 = 32\) | M1 A1 | Correct evaluation |
## Question 5:
**(i)**
$a^3 = 64x^{12}y^3$ | M1 | Recognising cube root needed
$a = 4x^4y$ | A1 | Correct answer
**(ii)**
$\left(\frac{1}{2}\right)^{-5} = 2^5 = 32$ | M1 A1 | Correct evaluation
---5 (i) Find $a$, given that $a ^ { 3 } = 64 x ^ { 12 } y ^ { 3 }$.\\
(ii) Find the value of $\left( \frac { 1 } { 2 } \right) ^ { - 5 }$.
\hfill \mbox{\textit{OCR MEI C1 2007 Q5 [4]}}