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Date November 2008 Marks available 1 Reference code 08N.1.sl.TZ0.9
Level SL only Paper 1 Time zone TZ0
Command term Write down Question number 9 Adapted from N/A

Question

The Venn diagram shows the numbers of pupils in a school according to whether they study the sciences Physics (\(P\)), Chemistry (\(C\)), Biology (\(B\)).

Write down the number of pupils that study Chemistry only.

[1]
a.

Write down the number of pupils that study exactly two sciences.

[1]
b.

Write down the number of pupils that do not study Physics.

[2]
c.

Find \(n[(P \cup B) \cap C]\) .

[2]
d.

Markscheme

\(9\)     (A1)     (C1)

[1 mark]

a.

\(12\)     (A1)     (C1)

[1 mark]

b.

\(8 + 3 + 9 + 6\)     (M1)

\( = 26\)     (A1)     (C2)

Note: Award (A1) for \(20\) seen if answer is incorrect.

[2 marks]

c.

\(5 + 2 + 3\)     (M1)

\( = 10\)     (A1)     (C2)

Note: Award (A1) for \(29\) or \(19\) seen if answer is incorrect.

[2 marks]

d.

Examiners report

This question was well attempted by the majority. The major error was the omission of the “\(6\)” in the candidates’ calculations. Perhaps better positioning would have helped in this regard.

a.

This question was well attempted by the majority. The major error was the omission of the “\(6\)” in the candidates’ calculations. Perhaps better positioning would have helped in this regard.

b.

This question was well attempted by the majority. The major error was the omission of the “\(6\)” in the candidates’ calculations. Perhaps better positioning would have helped in this regard.

c.

This question was well attempted by the majority. The major error was the omission of the “\(6\)” in the candidates’ calculations. Perhaps better positioning would have helped in this regard.

d.

Syllabus sections

Topic 3 - Logic, sets and probability » 3.5 » Venn diagrams and simple applications.
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