Foundation June 2023 Paper 3 Q14

OCRFoundationCurrent spec4 marksFractions

(a) Sundip plans to share some money so that

Will Sundip’s plan work?
Give a reason and show working to support your decision. [2]

(b) Sundip gives Mia and Sara the fractions of the money that she planned.
Mia gets £320.

Work out how much money Sara gets. [2]

Mark scheme (a)

Answer	Marks	Part marks and guidance
No and \(\dfrac{73}{70}\) or 1.04[...] or 104% AND is greater than 1 oe or is not equal to 1 oe or He won’t have enough money oe	2	Not “It’s improper fraction” or “Top heavy” M1 for \(\dfrac{1}{2} + \dfrac{2}{5} + \dfrac{1}{7}\) soi \(\dfrac{73}{70}\) or 0.5 + 0.4 + 0.14[…] soi 1.04[...] or 50[%] + 40[%] + 14[...%] soi 104[...%]	Accept equivalent fractions, decimals or percentages Allow using an amount of money. Check their total or difference for 2 marks If comparing fractions, must have common denominator or numerator. Accept e.g. \(\dfrac{10.4[\ldots]}{10}\) for \(\dfrac{73}{70}\) May be M1 for \(1 - \left(\dfrac{1}{2} + \dfrac{2}{5}\right)\) soi \(\dfrac{1}{10}\) and for 2 marks No \(\dfrac{1}{7} \gt \dfrac{1}{10}\) or \(\dfrac{10}{70} \gt \dfrac{7}{70}\) or M1 for 1 – (0.5 + 0.4) soi 0.1 and for 2 marks No \(\dfrac{1}{7} = 0.14[\ldots] \gt 0.1\) or M1 for \(1 - \left(\dfrac{1}{2} + \dfrac{1}{7}\right)\) soi \(\dfrac{5}{14}\) and for 2 marks No \(\dfrac{5}{14} = \dfrac{25}{70}\) \(\dfrac{2}{5} = \dfrac{28}{70} \gt \dfrac{25}{70}\) oe

Mark scheme (b)

Answer	Marks	Part marks and guidance
256	2	M1 for \(320 \times \dfrac{2}{5}\) [\(\times\) 2] oe soi 128	e.g. \(\dfrac{4}{5} \times 320\) or \(640 \times \dfrac{2}{5}\) or \(640 \times 0.4\) or 320 × 2 [= 640] and [their 640] \(\div\) 5 = [their 128]