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Date May 2014 Marks available 1 Reference code 14M.1.sl.TZ2.3
Level SL only Paper 1 Time zone TZ2
Command term Write down Question number 3 Adapted from N/A

Question

The following Venn diagram shows the relationship between the sets of numbers

\[\mathbb{N},{\text{ }}\mathbb{Z}{\text{, }}\mathbb{Q}{\text{ and }}\mathbb{R}{\text{.}}\]

The number –3 belongs to the set of \(\mathbb{Z}{\text{, }}\mathbb{Q}\) and \(\mathbb{R}\),  but not \(\mathbb{N}\), and is placed in the appropriate position on the Venn diagram as an example.



Write down the following numbers in the appropriate place in the Venn diagram.

4

[1]
a.

\(\frac{1}{3}\)

[1]
b.

\(\pi \)

[1]
c.

\(0.38\)

[1]
d.

\(\sqrt 5 \)

[1]
e.

\(-0.25\)

[1]
f.

Markscheme


     (A1)(A1)(A1)(A1)(A1)(A1)     (C6)

 

Note: Award (A1) for each number correctly placed.

     Award (A0) for any entry in more than one region.

 

[1 mark]

a.


     (A1)(A1)(A1)(A1)(A1)(A1)     (C6)

 

Note: Award (A1) for each number correctly placed.

     Award (A0) for any entry in more than one region.

 

[1 mark]

b.


     (A1)(A1)(A1)(A1)(A1)(A1)     (C6)

 

Note: Award (A1) for each number correctly placed.

     Award (A0) for any entry in more than one region.

 

[1 mark]

c.


     (A1)(A1)(A1)(A1)(A1)(A1)     (C6)

 

Note: Award (A1) for each number correctly placed.

     Award (A0) for any entry in more than one region.

 

[1 mark]

d.


     (A1)(A1)(A1)(A1)(A1)(A1)     (C6)

 

Note: Award (A1) for each number correctly placed.

     Award (A0) for any entry in more than one region.

 

[1 mark]

e.


     (A1)(A1)(A1)(A1)(A1)(A1)     (C6)

 

Note: Award (A1) for each number correctly placed.

     Award (A0) for any entry in more than one region.

 

[1 mark]

f.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.
[N/A]
d.
[N/A]
e.
[N/A]
f.

Syllabus sections

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