Higher November 2021 Paper 5 Q13

OCRHigherCurrent spec5 marksFractions Recurring Decimals

(a) Write \(\dfrac{3}{11}\) as a recurring decimal. [2]

(b) Write \(0.4\dot{8}\) as a fraction in its simplest form. [3]

Answer	Marks	Part marks and guidance
\(0.\dot{2}\dot{7}\)	2	M1 for attempt to divide 3 by 11	For 2 marks accept 0.2727…. Implied by 0.27 to 0.28

Mark scheme (b)

Answer	Marks	Part marks and guidance
\(\dfrac{22}{45}\) final answer	3	B2 for \(\dfrac{44}{90}\) oe or M1 for 4.88[8…] or 48.8[8...] seen or for 4/10 + 8/90	B2 for e.g. \(\dfrac{4.4}{9}\) For M1 accept any other decimal value[s] that would eliminate the recurrence when subtracted M1 implied by 44 and 90
\(\dfrac{22}{45}\) final answer	3	If 0 scored, SC1 for answer \(\dfrac{16}{33}\)	(SC mark from 0.4848….)