| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Session | Specimen |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Evaluate numerical powers |
| Difficulty | Easy -1.8 This is a straightforward recall question testing basic index laws and arithmetic with no problem-solving required. All three parts involve direct application of memorized rules (negative powers, squaring surds, fractional powers) with simple numerical calculations. Significantly easier than average A-level questions. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks | Guidance |
|---|---|---|
| (i) \(\frac{1}{16}\) | B1 | For correct value (fraction or exact decimal) |
| (ii) \(8\) | B1 | For correct value 8 only |
| (iii) \(6\) | M1 A1 | For \(1^3 + 2^3 + 3^3 = 36\) seen or implied; For correct value 6 only |
| A1 | 2 | For correct value 5 only |
(i) $\frac{1}{16}$ | B1 | For correct value (fraction or exact decimal)
(ii) $8$ | B1 | For correct value 8 only
(iii) $6$ | M1 A1 | For $1^3 + 2^3 + 3^3 = 36$ seen or implied; For correct value 6 only
| A1 | 2 | For correct value 5 only
---1 Write down the exact values of\\
(i) $4 ^ { - 2 }$,\\
(ii) $( 2 \sqrt { } 2 ) ^ { 2 }$,\\
(iii) $\left( 1 ^ { 3 } + 2 ^ { 3 } + 3 ^ { 3 } \right) ^ { \frac { 1 } { 2 } }$.
\hfill \mbox{\textit{OCR C1 Q1 [4]}}