Foundation November 2023 Paper 3 Q16

16 Dev and Emma share some money in the ratio 2 : 3.

(a) Dev says

I get \(\dfrac{2}{3}\) of the money.

What mistake has Dev made?
Give the fraction of the money Dev actually receives. [2]

(b) Dev receives £100.

Work out how much money Dev and Emma shared between them. [3]

Mark scheme (a)

Answer	Marks	Part marks and guidance
Correct comment implying addition or 5 parts and \(\dfrac{2}{5}\)	2	B1 for each	Mark the best bit if no contradiction See appendix Accept denominator should be 5 Condone add them to get \(\frac{2}{5}\) Accept he hasn’t added them with 2 + 3 = 5 seen Expect no reference to numerator but, if referenced, must be 2.

Question 16(a)

Statement	Reason	Mark
He should have used 5	Correct, though stronger with “as denominator”	1
He should have added the parts	Correct	1
2 + 3 = 5	Sufficient to highlight the mistake	1
He adds the[m] both up [he gets 2/5]	BOD as implication of addition of 2 and 3	1
He needs to add the numbers to get the bottom	BOD as implication of addition of 2 and 3	1
He adds 2 and 3 to get 5	Clear what is added	1
He didn’t add up the total amount of money given	Ignore the reference to the amount of money and mark the “adding”	1
He hasn’t added the ratios together	BOD implies adding shares/parts	1
He has only split the money into thirds [and not fifths]	Dev’s error is correctly highlighted.	1
He has not figured out the total he has based it on the ratio	BOD total implies adding	1
He has forgotten to solve out how much money there is	No implication of adding	0
He only used the numbers in the ratio	No indication of the error made	0

Mark scheme (b)

Answer	Marks	Part marks and guidance
[£]250	3	M2 for \(\frac{100}{2} \times (2 + 3)\) or 100 + 150 or M1 for \(\frac{100}{2}\) soi 50 or [Emma] 150	Accept 5 for 2 + 3 50 may be multiplier in ratio method: e.g. 2 : 3 (both \(\times 50\)) gives 100 : 150