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Date May 2010 Marks available 2 Reference code 10M.1.sl.TZ1.6
Level SL only Paper 1 Time zone TZ1
Command term Calculate Question number 6 Adapted from N/A

Question

A fitness club has 60 members. 35 of the members attend the club’s aerobics course (A) and 28 members attend the club’s yoga course (Y). 17 members attend both courses. A Venn diagram is used to illustrate this situation.

Write down the value of q.

[1]
a.

Find the value of p.

[2]
b.

Calculate the number of members of the fitness club who attend neither the aerobics course (A) nor the yoga course (Y).

[2]
c.

Shade, on your Venn diagram, \(A' \cap Y\) .

[1]
d.

Markscheme

17     (A1)     (C1)

[1 mark]

a.

35 – 17     (M1)

= 18     (A1)    (C2)

 

Note: Award (A1) for correct answer only.

 

[2 marks]

b.

\(60 - (35 - 17) - (28 - 17) - 17\)     (M1)
= 14     (A1)(ft)     (C2)


Note: Follow through from (a) and (b).

 

[2 marks]

c.

     (A1)     (C1)

[1 mark]

d.

Examiners report

This was probably the question that most candidates found the easiest. Nearly all candidates gained either 5 or 6 marks with the mark lost in shading the region on the Venn diagram.

a.

This was probably the question that most candidates found the easiest. Nearly all candidates gained either 5 or 6 marks with the mark lost in shading the region on the Venn diagram.

b.

This was probably the question that most candidates found the easiest. Nearly all candidates gained either 5 or 6 marks with the mark lost in shading the region on the Venn diagram.

c.

This was probably the question that most candidates found the easiest. Nearly all candidates gained either 5 or 6 marks with the mark lost in shading the region on the Venn diagram.

d.

Syllabus sections

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