Higher June 2025 Paper 5 Q18
18 Work out.
\[1.4\dot{2} \div 0.\dot{2}\]Give your answer as a mixed number in its simplest form.
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(6\frac{2}{5}\) final answer with correct working | 5 | Correct working requires \(\frac{2}{9}\) oe fraction seen and \(\frac{128}{90}\) oe fraction seen or alternate convincing approach | |
| B4 for \(\frac{64}{10}\) oe with correct working isw cancelling | e.g. B4 for \(6\frac{4}{10}\), \(\frac{32}{5}\), \(\frac{576}{90}\), \(\frac{1152}{180}\) with correct working | ||
| OR | |||
| B1 for \([0.\dot{2} =]\ \frac{2}{9}\) oe fraction | |||
| B2 for \(\frac{128}{90}\) oe fraction | For B2 condone e.g. \(\frac{12.8}{9}\) | ||
| or M1 for [\(n\) =1.422….] and [100\(n\) =] 142.2… oe or better or [\(n\) =] 1.422…. and [10\(n\) =] 14.22… or better | oe any correct approach that allows elimination of the recurring decimal Implied by e.g. 90\(n\) = 128 , 9\(n\) = 12.8 | ||
| or shows e.g. [\(n\) = 0.422….] and [100\(n\) =] 42.2… oe or better | implied by [1]\(\frac{38}{90}\) oe seen | ||
| If 0, 1 or 2 scored, instead award SC3 for \(6\frac{2}{5}\) with no or insufficient working If 0 or 1 scored, instead award SC2 for answer \(\frac{64}{10}\) oe with no or insufficient working | |||