The circle below has an area of 64π cm2. A central angle with measure 24° intercepts minor arc 
. What is the length of minor arc , in centimeters?
(F) 
π
(G) 
π
(H) 
(J) 
π
(K) 192π
A circular running track is being built in a fenced-in athletic field 100 feet wide and 150 feet long. If a border of 10 feet is needed between the outside edge of the track and the fence, what is the radius of the largest track that can be built?
(F) 40 (G) 45 (H) 65 (J) 90 (K) 110
Correct Answer: F
A surveyor took and recorded the measurements shown in the figure
below. If the surveyor wants to use these 3 measurements to calculate
the length of the pond, which of the following would he find to be the
most useful?
（A）The Pythagorean Theorem
（B） The ratios for the side lengths of 30°-60°-90° triangles
（C） The ratios for the side lengths of 45°-45°-90° triangles
（D） The law of cosines, which states that for any ΔABC, where a is the length of the side opposite 
a, b is the length of the side opposite b, and c is the length of the side opposite c, a2 = b2 + c2 - 2BC[cos
（E）
The law of sines, which states that the ratio between the length of the
side opposite an angle and the sine of that angle is the same for all
of the interior angles in the same triangle.
Correct Answer: D
If 2x– y= 32 and 5x+ 3y= 14, then xy=
(A) 35(B) –40(C) 75(D) 100(E) –120
Correct Answer: E
More ACT Math Exam Questions
- 1In the circle below, radius
has a length of 10 meters, and central angle ∠AOB measures 30°. What is the area, in square meters, of shaded sector AOB?
- 2
If f(x) = 7x2 - 9x + 4, then f(-3) = ?
- 3What math is in the ACT?
- 4
Cyclist A averages 80 pedal revolutions per minute, and Cyclist B averages 61 pedal revolutions per minute. At these rates, how many more minutes does Cyclist B need than Cyclist A to make 9,760 pedal revolutions?
- 5If the average number of carbon dioxide molecules per cubic inch in a container is 3 × 104 and there are 6 × 108 molecules of carbon dioxide in the container, what is the volume of the container in cubic inches?