| Date | May 2012 | Marks available | 2 | Reference code | 12M.1.sl.TZ2.4 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Explain | Question number | 4 | Adapted from | N/A |
Question
Music lessons in Piano (P), Violin (V) and Flute (F) are offered to students at a school.
The Venn diagram shows the number of students who learn each kind of instrument.
Write down the total number of students in the school.
Write down the number of students who
(i) learn violin only;
(ii) learn piano or flute or both;
(iii) do not learn flute.
Explain, in words, the meaning of the part of the diagram that represents the set \(P \cap F'\).
Markscheme
145 (A1) (C1)
[1 mark]
(i) 56 (A1)
(ii) 85 (A1)
(iii) 89 (A1) (C3)
[3 marks]
The students who learn the piano and do not learn the flute. (A1)(A1) (C2)
Notes: Award (A1) for students who learn piano, not flute, (A1) for and (accept but). Accept correct alternative statements. Accept “The number of students who learn the piano and do not learn the flute”.
[2 marks]
Examiners report
The most common error in Question 4 was to omit counting the four non-music students. Explaining in words the meaning of the set notation was difficult for some candidates.
The most common error in Question 4 was to omit counting the four non-music students. Explaining in words the meaning of the set notation was difficult for some candidates.
The most common error in Question 4 was to omit counting the four non-music students. Explaining in words the meaning of the set notation was difficult for some candidates.
