1103022406
Level:
A
The graph of exponential function \( f(x) = 3^{x-2} \) is below. Use the graph of \( f \) to identify which of the following graphs is the graph of \( g(x) = 3^{-(x-2)} \).
A
1103022405
Level:
A
The graph of exponential function \( f(x) = 3^{x-2} \) is below. Use the graph of \( f \) to identify which of the following graphs is the graph of \( g(x) = -3^{x-2} \).
1103022404
Level:
A
The graph of exponential function \( f(x) = 6^x \) is below. Use the graph of \( f \) to identify which of the following graphs is the graph of \( g(x) = 6^{x-3} \).
1103022403
Level:
A
The graph of exponential function \( f(x) = \left(\frac13\right)^x \) is below. Use the graph of \( f \) to identify which of the following graphs is the graph of \( g(x) = \left(\frac13\right)^x + 2\).
1003021308
Level:
A
Choose the wrong claim:
The sum of the opposite angles in a rectangle is \( 360^{\circ} \).
The sum of the interior angles of a convex n-gon is \( (n-2)\cdot180^{\circ} \).
If there is just one pair of sides parallel in a quadrilateral and the other side is perpendicular to them, then the quadrilateral is a right-angled trapezium.
At least one of the interior angles in a trapezium is obtuse.
1003021307
Level:
A
Choose the wrong claim:
The diagonals of a rhombus contain an acute angle.
In each parallelogram the opposite angles are congruent.
If one of the interior angles of a quadrilateral is greater than straight angle, the quadrilateral is not convex.
All interior angles in a square are right.
1103021306
Level:
A
In the square \( ABCD \), \( |AB| = 6\,\mathrm{cm} \). Calculate the area of the marked triangle if \( E \) is the midpoint of the side \( AB \).
\( 3\,\mathrm{cm}^2 \)
\( 6\,\mathrm{cm}^2 \)
\( 9\,\mathrm{cm}^2 \)
\( 12\,\mathrm{cm}^2 \)
1103021305
Level:
A
\( ABCD \) is a square. Determine the degree measure of the angle \( EGD \) if the measure of the angle \( CFG \) is \( 50^{\circ} \).
\( 5^{\circ}\)
\( 10^{\circ}\)
\( 15^{\circ}\)
\( 20^{\circ}\)
1103021304
Level:
A
The side lengths of the rectangle \( ABCD \) are in the ratio \( AB:BC=12:5 \). Give the degree measure of the angle \( CAB \). Round the result to two decimal places.
\( 22.62^{\circ} \)
\( 67.38^{\circ} \)
\( 24.62^{\circ} \)
\( 65.38^{\circ} \)
1103021303
Level:
A
A rectangle with sides \( a \), \( b \) is given. The angle between diagonals \( \alpha = 60^{\circ} \). The longer side \( a = 6\,\mathrm{cm} \). Calculate the length of the shorter side \( b \).
\( \frac6{\sqrt3}\,\mathrm{cm} \)
\( \frac3{\sqrt3}\,\mathrm{cm} \)
\( \frac1{\sqrt3}\,\mathrm{cm} \)
\( 6\sqrt3\,\mathrm{cm} \)