User interface language: English | Español

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

Question

The sets \(P\), \(Q\) and \(U\) are defined as

U = {Real Numbers} ,  P = {Positive Numbers} and  Q = {Rational Numbers}.

Write down in the correct region on the Venn diagram the numbers

\(\frac{{22}}{7}\) ,  \(5 \times {10^{ - 2}}\) ,  \(\sin (60^\circ )\) ,  \(0\) ,  \(\sqrt[3]{{ - 8}}\) ,  \( - \pi \).

Markscheme

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

 

Note: Award (A1) for each number placed once in the correct region. Accept equivalent forms for numbers.

 

[6 marks]

Examiners report

Very few candidates gained full marks in this question. A common error turned out to be that \(\frac{{22}}{7}\) and \(5 \times {10^{ - 2}}\) were not considered rational numbers. Also, \(0\) and \(\sin (60^\circ )\) were often placed incorrectly. However, it was encouraging that very few candidates placed values in more than one region.

Syllabus sections

Topic 1 - Number and algebra » 1.1 » Natural numbers, \(\mathbb{N}\) ; integers, \(\mathbb{Z}\) ; rational numbers, \(\mathbb{Q}\) ; and real numbers, \(\mathbb{R}\) .

View options