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Date May 2017 Marks available 2 Reference code 17M.1.sl.TZ1.4
Level SL only Paper 1 Time zone TZ1
Command term Write down Question number 4 Adapted from N/A

Question

Dune Canyon High School organizes its school year into three trimesters: fall/autumn (F), winter (W) and spring (S). The school offers a variety of sporting activities during and outside the school year.

The activities offered by the school are summarized in the following Venn diagram.

M17/5/MATSD/SP1/ENG/TZ1/04

Write down the number of sporting activities offered by the school during its school year.

[1]
a.

Determine whether rock-climbing is offered by the school in the fall/autumn trimester.

[1]
b.

Write down the elements of the set FW;

[1]
c.i.

Write down n(WS).

[1]
c.ii.

Write down, in terms of F, W and S, an expression for the set which contains only archery, baseball, kayaking and surfing.

[2]
d.

Markscheme

15     (A1)     (C1)

[1 mark]

a.

no     (A1)     (C1)

 

Note:     Accept “it is only offered in Winter and Spring”.

 

[1 mark]

b.

volleyball, golf, cycling     (A1)     (C1)

 

Note:     Responses must list all three sports for the (A1) to be awarded.

 

[1 mark]

c.i.

4     (A1)     (C1)

[1 mark]

c.ii.

(FWS)ORFWS (or equivalent)     (A2)     (C2)

[2 marks]

d.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.i.
[N/A]
c.ii.
[N/A]
d.

Syllabus sections

Topic 3 - Logic, sets and probability » 3.7 » Use of tree diagrams, Venn diagrams, sample space diagrams and tables of outcomes.
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