1003030208
Level:
A
What do we call a convex angle which is smaller than the right angle?
Acute angle
Obtuse angle
Straight angle
Full angle
A
1003030207
Level:
A
There are two distinct parallel lines on one plane: \( p =\,\, \leftrightarrow KL \) and \( q=\,\,\leftrightarrow MN \). What is the intersection of the half plane \( KLM \) and the half plane \( MNL \)?
(Please note that a hypothetical half plane \( XYZ \) is bounded by a line \( XY \) and contains a point \( Z \).)
A plane zone limited by the lines \( p \) and \( q \)
The half plane \( KLM \)
The convex angle \( LKM \)
The quadrilateral \( KLMN \)
The triangle \( MNL \)
1003030206
Level:
A
What do we call two lines which share all their points?
Identical lines
Distinct parallel lines
Skew lines
Intersecting lines
1003030205
Level:
A
What do we call two lines which lie on a single plane and share one point of intersection?
Intersecting lines
Distinct parallel lines
Identical lines
Skew lines
1003030204
Level:
A
What do we call two lines which lie on a single plane and have no point of intersection?
Distinct parallel lines
Intersecting lines
Identical lines
Skew lines
1003030203
Level:
A
Suppose there are \( n \) points that lie on a line. Into how many not overlapping segments is the line divided by the points?
\( ( n-1 ) \) segments and two rays
\( n \) segments
\( (n+1) \) segments
\( n \) segments and two rays
\( (n+1) \) segments and two rays
1003030202
Level:
A
Which of the following mathematical sentences corresponds to the statement: The segments \( AC \) and \( BD \) intersect at only one point \( C \)?
\( AC\cap BD=\{C\} \)
\( AC\cap BD\subset\{C\} \)
\( AC\cup BD=\{C\} \)
\( AC\cup BD\subset\{C\} \)
1003030201
Level:
A
Which of the following mathematical sentences corresponds to the statement: Point \( C \) lies on the ray \( AB \)?
\( C \in\,\, \mapsto AB \)
\( C \subset\,\, \mapsto AB \)
\( C\,\,\cap\mapsto AB \)
\( C\equiv\,\,\mapsto AB \)
\( C \cong\,\,\mapsto AB \)
1003044810
Level:
A
Find the domain of the equation \( \frac{x+3}{x^2-8}=\frac1x \).
\( \mathbb{R}\setminus\{-2\sqrt2,0,2\sqrt2\} \)
\( \mathbb{R}\setminus\{0\} \)
\( \mathbb{R}\setminus\{-3\} \)
\( \mathbb{R}\setminus\{0,4\} \)
1003055412
Level:
A
There are \( 40 \) students in the class, including \( 18 \) girls. What percentage of students in this class are boys?
\( 55\% \)
\( 45\% \)
\( 65\% \)
\( 40\% \)