Which of the following is equivalent to (x4 - 4)(x4 + 4)?
(F) 2x4
(G) x8 - 16
(H) x8 + 16
(J) x16 - 16
(K) x8 - 8x4 - 16
Paulette, Quentin, and Rosie each donated money to a charity. Paulette gave as much money as Quentin and Rosie gave together. If Quentin had given three times more than he gave, he would have given $40 more than Paulette. And if Rosie had given $20 less, she would have given half as much as Paulette. How much did Paulette give?
(A) $80(B) $120(C) $160(D) $200(E) $240
Correct Answer: D
For a chemistry class, Sanjay is doing an experiment that involves periodically heating a container of liquid. The graph below shows the temperature of the liquid at different times during the experiment. What is the average rate of change of temperature (in degrees Celsius per minute) during the times in which Sanjay is applying heat to this container?
(A) 4 (B) 5 (C) 8 (D) 10 (E) 20
Correct Answer: C
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
Correct Answer: B
More ACT Math Exam Questions
- 1
Pierre competes in a triathlon, along a course as shown in the figure below. He begins swimming at starting point S and swims straight across the lake, gets on his bicycle at station A, bikes to station B, and then runs to finishing line F. The judges use a stopwatch to record his elapsed times of tA, tB, and tF hours from point S to points A, B, and F, respectively. If the distance, in miles, between points S and A along the racecourse is denoted by SA, then what is Pierre's average speed for this race, in miles per hour?
- 2The perimeter of an elliptical billiard table is to be covered with red
velvet. The perimeter of an ellipse is given by the formula
, where l is the length and w
is the width, as shown in the diagram below. If the length is 4 feet
and the width is 3 feet, what is the outside perimeter of the ellipse in
feet?
- 3In the figure below, all line segments that intersect are
perpendicular. Using only the segments and vertices in the figure, how
many distinct rectangles are there with areas less than the area of ADLI?
(Note: If 2 rectangles have all four vertices in common, then they are not distinct.)
- 4
The table below details a recent census report about the commuting habits of U.S. workers age 16 or over for the years 2004, 2005, and 2006.
Expressed in millions of people, what was the average growth per year for female U.S. workers age 16 or over from 2004 to 2006, rounded to the nearest 0.1 million?
- 5
This semester, Gerry scored an average of 93 on his five history exams. He got the same score on his first two exams, and then he got a 94, an 85, and a 90 on the remaining exams. What score did he receive on his first two exams?