Foundation June 2018 Paper 2 Q18

OCRFoundationCurrent spec5 marksBasic Probability

18 The table shows the relative frequencies of the results for a football team after a number of games.

Result of game	won	lost	drew
Relative frequency	0.2	0.45

(a) Complete the table. [2]

(b) The team lost 10 more games than they won.

How many games did the team play altogether? [3]

Answer	Marks	Part marks and guidance
[0].35 oe	2	M1 for 1 – (0.2 + 0.45) oe	isw conversion to other forms M1 implied by answer 0.53

Mark scheme (b)

Answer	Marks	Part marks and guidance
40	3	M2 for 10 ÷ (0.45 – 0.2) oe or M1 for 0.45 – 0.2 soi	e.g. 0.25 oe associated with 10 [games] then 4 \(\times\) 10 soi Allow with algebra, eg for M1 \(0.45x - 0.2x = 10\)