The sum, S, of an arithmetic sequence with first term x1 is given by 
, where n is the number of terms in the sequence. The sum of 5 consecutive terms in a given arithmetic sequence is 145, and x5 is 48. What is the sixth term of this sequence?
(A)49
(B) 57.5
(C) 77
(D) 154.5
(E) 174
In the triangle below, the lengths of the two given sides are measured in centimeters. What is the value, in centimeters, of x?
(A) 9 sin 40° (B) 9 sin 50° (C) 9 cos 50° (D) 9 tan 40° (E) 9 tan 50°
Correct Answer: B
Lines 
and 
intersect at point V on line 
, as shown in the figure below. The measures of 2 angles are given in terms of a, in degrees. What is the measure of 
XVZ in degrees?
（A）30 （B） 90 （C） 120 （D） 150 （E） 180
Correct Answer: C
Jackson High School's basketball team scored an average of 90 points in each of the first 10 games of the season. If it scored 102 points in each of the next 2 games, which of the following is closest to its average for all 12 games?
(F) 102 (G) 98 (H) 96 (J) 92 (K) 90
Correct Answer: J
More ACT Math Exam Questions
- 1For any positive two-digit integer x with tens digit t, units digit u, and t ≠ u, y is the two-digit integer formed when the digits of x are reversed. What is the greatest possible value of (y - x) when t is less than u?
- 2The second term of an arithmetic sequence is -2, and the third term is 8. What is the first term?
(Note: An arithmetic sequence has a common difference between consecutive terms.)
- 3
Which of the following could be the equation of a line that passes through the points (-2,-7) and (2,17) in the standard (x,y) coordinate plane?
- 4
A rectangular rug has an area of 80 square feet, and its width is exactly 2 feet shorter than its length. What is the length, in feet, of the rug?
- 5
For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?