Interactive tests - Table of contents


Multiple choice test with multiple answers

Number sets

For any of the following questions one or more answers are correct. Try to find out exactly these and click the according checkboxes. Take a sheet of paper whenever you feel this might help, in particular for the questions indicated by the symbol at the right. You may also print this page and use it as worksheet. Any question allows an evaluation in terms of number of points achieved. Alternatively, you may activate the total evaluation at the end of the document.

Hint to this test: By "numbers" we mean real numbers here.

Which of the following statements is true?
  0.81 is a rational number    
  2/3 is a rational number    
    __
2  is a rational number
 
   
    __
7  is a rational number
 
   
    __
9  is a rational number
 
   
    ___
10  is a rational number
 
   
  π is a rational number    
    out of points

The rational numbers are exactly those numbers
  which are not integer    
  which are not irrational    
  which may be represented as fractions between two integers    
  which may be represented as fractions between two prime numbers    
  whose decimal representation terminates at some position    
  whose decimal representation becomes periodic at some position    
  which are not square roots of natural numbers    
    out of points

There are infinitely many
  prime numbers    
  even prime numbers    
  integers < 5    
  natural numbers < 5    
  rational numbers between 0 and 1    
  real numbers between 0 and 10    
    out of points

The following operation may always be performed within the set of natural numbers:
  multiplication    
  division (except by 0)    
  taking the square root    
  inverting (except 0)    
  taking the absolute value    
    out of points
The following operation may always be performed within the set of integer numbers:
  multiplication    
  division (except by 0)    
  taking the square root    
  inverting (except 0)    
  taking the absolute value    
    out of points

The following operation may always be performed within the set of rational numbers:
  multiplication    
  division (except by 0)    
  taking the square root    
  inverting (except 0)    
  taking the absolute value    
    out of points
The following operation may always be performed within the set of real numbers:
  multiplication    
  division (except by 0)    
  taking the square root    
  inverting (except 0)    
  taking the absolute value    
    out of points

 

You have achieved    out of    possible points.

Information on the evaluation system


 

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