In ΔABC, shown below, the measure of 
b is 40°, the measure of c is 35°, and 
is 27 units long. Which one of the following is an expression of the length, in units, of 
?
(Note:
The law of sines states that for any triangle, the ratio between the
sine of an angle and the length of the side opposite that angle is the
same for all of the interior angles in the triangle.)
(A)
(B) 
(C) 
(D) 
(E) 
The Correct Answer
Which of the following is a prime factorization of 2,100?
（A）2 · 3 · 5 · 7 （B） 22 · 3 · 52 · 7 （C） 22 · 3 · 5 · 35 （D） 22 · 52 · 21 （E） 22 · 550
Correct Answer: B
The minutes and seconds on a 60-minute digital timer are represented by 3 or 4 digits. What is the largest product that can be obtained by multiplying the digits in one of these representations?
(Note: When the timer displays 16:15, the product of the digits is (1)(6)(1)(5) = 30.)
(F) 90
(G) 2,025
(H) 3,481
(J) 3,600
(K) 6,561
Correct Answer: G
A trapezoidal driveway has the dimensions, in yards, given in the figure below. What is the area, in square yards, of the driveway?
(A) 42 (B) 72 (C) 102 (D) 156 (E) 204
Correct Answer: C
More ACT Math Exam Questions
- 1Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?
- 2The equation y= axb+ cproduces the following (x, y) coordinate pairs: (0, 2), (1, 7), and (2, 42).What is the value of abc?
- 3A sample of 300 jellybeans was removed from a barrel of jellybeans. All of the jellybeans in the barrel are one of four colors: red, orange, green, and purple. For the sample, the number of jellybeans of each color is shown in the table below.
