| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2016 |
| Session | June |
| Marks | 5 |
| 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 with no problem-solving required. All three parts are standard textbook exercises: (i) anything to power 0 equals 1, (ii) fractional power requiring square root then cube, (iii) negative power requiring reciprocal then squaring. Simpler than the calibration example at -1.5 as it involves smaller numbers and more routine calculations. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
| Answer | Marks |
|---|---|
| \(1\) | B1 [1] |
| Answer | Marks | Guidance |
|---|---|---|
| \(27\) | B1 for \([\pm]3^3\) or \(\sqrt{729}\); or for \([9^{\frac{1}{2}}=]3\) or \(\pm3\) soi | condone \(\pm27\) [2] |
| Answer | Marks | Guidance |
|---|---|---|
| \(\frac{25}{16}\) or \(1\frac{9}{16}\) isw | B1 for \(\frac{5}{4}\) or \(\frac{1}{16}\) or \(\frac{16}{25}\) oe | B0 for 1.5625 without fractions seen; if found, check for possible use of calculator throughout [2] |
# Question 1:
## Part (i)
$1$ | B1 [1] |
## Part (ii)
$27$ | B1 for $[\pm]3^3$ or $\sqrt{729}$; or for $[9^{\frac{1}{2}}=]3$ or $\pm3$ soi | condone $\pm27$ [2]
## Part (iii)
$\frac{25}{16}$ or $1\frac{9}{16}$ isw | B1 for $\frac{5}{4}$ or $\frac{1}{16}$ or $\frac{16}{25}$ oe | B0 for 1.5625 without fractions seen; if found, check for possible use of calculator throughout [2]
---1 Find the value of each of the following.\\
(i) $3 ^ { 0 }$\\
(ii) $9 ^ { \frac { 3 } { 2 } }$\\
(iii) $\left( \frac { 4 } { 5 } \right) ^ { - 2 }$
\hfill \mbox{\textit{OCR MEI C1 2016 Q1 [5]}}