9000033906
Level:
A
In the interval \([0^{\circ };360^{\circ })\) find the angle
coterminal with the angle \(1\: 000^{\circ }\).
\(280^{\circ }\)
\(180^{\circ }\)
\(240^{\circ }\)
\(300^{\circ }\)
Angles, arcs and sectors
9000033907
Level:
A
Convert \(\frac{6}
{5}\pi \)
radians to degrees.
\(216^{\circ }\)
\(432^{\circ }\)
\(116^{\circ }\)
\(378^{\circ }\)
9000033908
Level:
A
Convert \(\frac{8}
{3}\pi \)
radians to degrees.
\(480^{\circ }\)
\(240^{\circ }\)
\(300^{\circ }\)
\(330^{\circ }\)
9000033909
Level:
A
Convert the angle \(240^{\circ }\)
to radians.
\(\frac{4}
{3}\pi \)
\(\frac{8}
{3}\pi \)
\(\frac{10}
{6} \pi \)
\(\frac{5}
{3}\pi \)
9000033910
Level:
A
Convert the angle \(292.5^{\circ }\)
to radians.
\(\frac{13}
{8} \pi \)
\(\frac{11}
{4} \pi \)
\(\frac{15}
{8} \pi \)
\(\frac{13}
{4} \pi \)
1003023206
Level:
B
In a driving school we learn to hold the steering wheel in the position of „a quarter to three“. Determine the degree measure of the angle between the hour hand and the minute hand which corresponds to the mentioned time.
\( 172.5^{\circ} \)
\( 180^{\circ} \)
\( 165^{\circ} \)
\( 157.5^{\circ} \)
1003023207
Level:
B
In the past we were taught in a driving school that the steering wheel should be held in the position of „ten to two“. Give the degree measure of the angle between the hour hand and the minute hand which corresponds to this time.
\( 115^{\circ} \)
\( 120^{\circ} \)
\( 90^{\circ} \)
\( 105^{\circ} \)
1003023306
Level:
B
The radian measure of the angle \( \theta \) is \( \frac{\pi}2 \). What is the sum of all the radian measures of the angles coterminal to \( \theta \) from the interval \( [-5\pi; 5\pi] \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( \frac52\pi \)
\( 0 \)
\( 3\pi \)
\( \pi \)
1003023307
Level:
B
The radian measure of the angle \( \theta \) is \( \frac{\pi}3 \). How many values from the set
\( M = \left\{\frac43\pi; \frac73\pi; \frac83\pi; \frac{13}3\pi; -\frac53\pi; \frac{61}3\pi; -\frac{61}3\pi \right\} \) are the measures of angles coterminal to \( \theta \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( 4 \)
\( 5 \)
\( 6 \)
\( 3 \)
1003023308
Level:
B
What angle sweeps the minute hand of a clock in \( 10 \) minutes?
\( -60^{\circ} \)
\( 36^{\circ} \)
\( -36^{\circ} \)
\( 60^{\circ} \)