Angles & Shapes
Circles
Trigonometry
100
In parallelogram ACDB, <ABD = 112* and <ABC = 47*. What is the measure of <ACB?
f. 155*
g. 145*
h. 130*
j. 125*
k. 115*
h. 130
100
What is the area of a semicircle with a diameter of 2?
f. 2pi
g. pi
h. pi/2
j. 1
k. 1/pi
h. pi/2
100
The legs of a right triangle are 5 inches and 12 inches, respectively. What is the sine of the smallest angle?
a. 5/13
b. 5/12
c. 12/13
d. 13/12
e. 13/15
a. 5/13
200
In the figure below, line A is parallel to line B, and line C intersects them both. Which of the following lists 3 equal angles?
f. <l, <n, <k
g. <l, <m, <p
h. <m, <n, <k
f. <l, <n, <k
200
A ferris wheel makes 35 complete revolutions every hour. Through how many degrees does the ferris wheel rotate in 2.5 hours?
f. 40,500
g. 31,500
h. 26,250
j. 18,900
k. 15,950
g. 31,500
200
Triangle SUT is a right triangle. If line SU is 5 units long, and line UT is 12 units long, what is the tangent of <t?
a. 5/13
b. 5/12
c. 12/13
d. 13/12
e. 13/5
a. 5/13
300
A statue in the shape of a right triangle has a height of 7 meters, a base of 24 meters, and a hypotenuse of 25 meters. A sculptor is commissioned to make a replica of the statue. If the new hypotenuse is 13 meters long, what is the new base?
a. 12
b. 12 12/25
c. 13
d. 30
e. 44 4/7
b. 12 12/25
300
The ratio of the radius of circle A to the radius of circle B is 3:5. The ratio of the radius of circle A to the radius of circle C is 3:4. What is the ratio of the area of circle B to the area of circle C?
f. 5:4
g. 9:16
h. 9:25
j. 15:11
k.25:16
k. 25:16
300
In right triangle ABC, line BC is 18 feet long. The tangent of <C is 5/12. How many feet long is line AB?
f. 6.92
g. 7.50
h. 12.50
j. 16.00
k. 19.50
g. 7.50
400
The diagonal of a rectangle is 16. How wide is the rectangle if the length is 6?
f. 10
g. 11
h. 4√10
j. 2√55
k. 55
j. 2√55
400
Amy and Meg have choreographed a ballet piece to be performed on a stage. If each dancer executes a pirouette that covers a circular area of 28.3 square feet, and there is one foot of space in between the circular areas their pirouettes create, what is the minimum length of the stage that will allow the dancers to perform side by side, without collision?
a. 20
b. 13
c. 12
d. 7
e. 4
b. 13
400
In the right triangle below, if tan a = 6/7, then cos b =?
a. (6√85)/85
b. 7/6
c. 6
d. 7
e. √85
a. (6√85)/85
500
What is the maximum number of points of intersection for a circle and a rectangle which lie in the same plane?
a. 2
b. 4
c. 6
d. 8
e. infinitely many
d. 8
500
A circle with center C has an area of 36pi and points A and B lie on the circumference of the circle. If <x = 60*, what is the area of triangle ACB?
f. 3√3
g. 6
h. 9√3
j. 18√3
k. 108
h. 9√3
500
A straight thirty-foot-long ramp leads from the ground to a level platform. If the ramp tilts at a 35* angle from the ground, how high is the platform, in feet?
a. 35 sin 30*
b. 35 sin 35*
c. 30/cos 35*
d. 30 sin 35*
e. 30/sin 35*
d. 30 sin 35*