Mathematics · Oct / Nov 2025 · Paper 22 · Question 12
0580
As printed in the paper
The question as text
A fitness club has 100 members. 60 swim (S ). 70 cycle (C ). 25 do not swim or cycle. C S ĕ
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12(a)[3]
S C 5 55 15 25 or S C 0.05 0.55 0.15 0.25 [3]
If values placed:
B2 for 55 correctly placed OR
B1 for 25 correctly placed
M1 for total S = 60 and total C = 70 with intersection not equal zero/not blank OR Alt method if probabilities placed:
B2 for 0.55 oe correctly placed OR
B1 for 0.25 oe correctly placed
M1 for total S = 0.6 and total C = 0.7 with intersection not equal zero/not blank
12(b)(i)[1]
70 100 oe [1]
12(b)(ii)[1]
55 100 oe [1]
FT their 55 from their Venn diagram 100
12(b)(iii)[1]
85 100 oe [1]
FT + + their 25 their 5 their 55 or 100 their 15 − 1 from their Venn diagram 100
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