| Date | May 2018 | Marks available | 2 | Reference code | 18M.1.sl.TZ1.10 |
| Level | SL only | Paper | 1 | Time zone | TZ1 |
| Command term | Find | Question number | 10 | Adapted from | N/A |
Question
A group of 60 sports enthusiasts visited the PyeongChang 2018 Winter Olympic games to watch a variety of sporting events.
The most popular sports were snowboarding (S), figure skating (F) and ice hockey (H).
For this group of 60 people:
4 did not watch any of the most popular sports,
x watched all three of the most popular sports,
9 watched snowboarding only,
11 watched figure skating only,
15 watched ice hockey only,
7 watched snowboarding and figure skating,
13 watched figure skating and ice hockey,
11 watched snowboarding and ice hockey.
Complete the Venn diagram using the given information.
Find the value of x.
Write down the value of \(n\left( {\left( {F \cup H} \right) \cap S'} \right)\).
Markscheme
(A1)(A1)(A1) (C3)
Note: Award (A1) for 4 in correct place.
Award (A1) for 9, 11, 15 in correct place.
Award (A1) for 7 − x, 13 − x, 11 − x in correct place.
Accept 2, 8 and 6 in place of 7 − x, 13 − x, 11 − x.
[3 marks]
\(4 + 9 + 11 + 15 + x + \left( {7 - x} \right) + \left( {11 - x} \right) + \left( {13 - x} \right) = 60\) (M1)
Note: Award (M1) for equating the sum of at least seven of the entries in their Venn diagram to 60.
\(\left( {x = } \right)\,\,5\) (A1)(ft) (C2)
Note: Follow through from part (a), but only if answer is positive.
[2 marks]
34 (A1)(ft) (C1)
Note: Follow through from their Venn diagram.
[1 mark]
