| Date | November 2007 | Marks available | 1 | Reference code | 07N.1.sl.TZ0.8 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Calculate | Question number | 8 | Adapted from | N/A |
Question
A school offers three activities, basketball (B), choir (C) and drama (D). Every student must participate in at least one activity.
16 students play basketball only.
18 students play basketball and sing in the choir but do not do drama.
34 students play basketball and do drama but do not sing in the choir.
27 students are in the choir and do drama but do not play basketball.
Enter the above information on the Venn diagram below.
99 of the students play basketball, 88 sing in the choir and 110 do drama.
Calculate the number of students x participating in all three activities.
99 of the students play basketball, 88 sing in the choir and 110 do drama.
Calculate the total number of students in the school.
Markscheme
(A2)
(A1) only if 1 error
(A0) otherwise (C2)
[2 marks]
\(x + 16 + 18 + 34 = 99\)
\(x = 31\) (A1) (C1)
[1 mark]
Choir only \(= 88 - (18 + 27 + 31) = 12\) (A1)(ft)
Drama only \( = 110 - (27 + 34 + 31) = 18\) (A1)(ft)
Total \( = 16 + 34 + 18 + 31 + 12 + 27 + 18 = 156\) (A1)(ft) (C3)
[3 marks]
Examiners report
Venn diagrams continue to be a problem area. Quite a good number of candidates managed to fill in the information on the Venn diagram accurately. However, finding the correct value for x and calculating the number of students in the school posed a big problem for many candidates.
Venn diagrams continue to be a problem area. Quite a good number of candidates managed to fill in the information on the Venn diagram accurately. However, finding the correct value for x and calculating the number of students in the school posed a big problem for many candidates.
Venn diagrams continue to be a problem area. Quite a good number of candidates managed to fill in the information on the Venn diagram accurately. However, finding the correct value for x and calculating the number of students in the school posed a big problem for many candidates.
