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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 1 - Number and algebra » 1.1 » Natural numbers,

$\mathbb{N}$ ; integers,

$\mathbb{Z}$ ; rational numbers,

$\mathbb{Q}$ ; and real numbers,

$\mathbb{R}$ .

18M.1.sl.TZ2.4b: Josh states: “Every integer is a natural number”. Write down whether Josh’s statement is...
18M.1.sl.TZ2.4a: Complete the second column of the table by giving one example of a number from each set.
16M.1.sl.TZ2.2: Consider the numbers $- 1,\,\,4,\,\,\frac{2}{3},\,\,\sqrt 2 ,\,\,0.35$ and \( -...
12M.1.sl.TZ2.1c: Consider the following statements about c, d and r. Only three of these statements are...
09N.1.sl.TZ0.2: The Venn diagram shows the number sets $\mathbb{N}$ , $\mathbb{Z}$ , $\mathbb{Q}$ and...
11M.1.sl.TZ2.1b: List the elements of $B$ .
13M.1.sl.TZ1.2a: List the elements of (i) U ; (ii) B .
13M.1.sl.TZ2.3: Consider the numbers 3, −5 , $\sqrt{7}$ , $2^{−3}$ and 1.75. Complete the table below,...
07M.1.sl.TZ0.1b: Calculate $\sqrt {{{3.87}^5} - {{8.73}^{ - 0.5}}}$ , giving your answer (i) correct to the...
07M.1.sl.TZ0.6c: State which of the numbers in part (a) is irrational.
08M.1.sl.TZ1.11a: Consider the numbers $2$ , $\sqrt 3$ , $- \frac{2}{3}$ and the sets $\mathbb{N}$ ,...
08M.1.sl.TZ2.4: Consider the numbers $\sqrt 3$ , $6$ , $2\frac{1}{2}$ , $\pi$ , $- 5$ , and the sets...
10M.1.sl.TZ1.2: The sets $P$ , $Q$ and $U$ are defined as U = {Real Numbers} , P = {Positive Numbers}...
14M.1.sl.TZ2.3a: 4
14M.1.sl.TZ2.3b: $\frac{1}{3}$
14M.1.sl.TZ2.3d: $0.38$
14M.1.sl.TZ2.3f: $-0.25$