| Exam Board | OCR MEI |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Paper | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Evaluate numerical powers |
| Difficulty | Standard +0.8 This question requires understanding of base conversion and place value in non-decimal bases, which goes beyond standard index/surd manipulation. Students must recognize that 3.032₅₃₂ = 3 + 0×5⁻¹ + 3×5⁻² + 2×5⁻³ + 3×5⁻⁴ + 2×5⁻⁵, then perform accurate arithmetic with negative powers. While methodical, it's conceptually more demanding than typical C4 content and requires careful calculation. |
| Spec | 8.02a Number bases: conversion and arithmetic in base n |
2 A civilisation which works in base 5 sends out the first 6 digits of $\pi$ as 3.032 32. Convert this to base 10.\\
\hfill \mbox{\textit{OCR MEI C4 Q2}}