The graph below shows the number of people visiting a museum during the first 5 months of the year. How many people need to visit the museum during June for the mean of the first 6 months to equal the mean of the first 5 months?
(F) 0
(G) 200
(H) 250
(J) 500
(K) 1,250
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If log3 81 = x + 1, then x = ?
（A）3 （B） 4 （C） 5 （D） 6 （E） 243
Correct Answer: A
Which of the following expressions is equivalent to the inequality 6x – 8 > 8x + 14?
（A）x < --11 （B） x > --11 （C） x < --3 （D） x > --3 （E） x < 11
Correct Answer: A
More ACT Math Exam Questions
- 1
Two similar triangles have perimeters in the ratio 5:6. The sides of the larger triangle measure 12 in, 7 in, and 5 in. What is the perimeter, in inches, of the smaller triangle?
- 2
Triangle
ACE, shown in the figure below, is isosceles with base 
. B lies on and D lies on 
. Segments 
and 
bisect 
AEC and CAE respectively. Which one of the following angle congruences is necessarily true?
- 3
Andrea and Zach are both waiting for an appointment with a guidance counselor. When they arrived, each received a card from the secretary, telling the hour and minute of his or her arrival. Two minutes ago, Andrea had been waiting exactly
as many minutes as Zach. Three minutes from now, Andrea will have been waiting exactly 
as long as Zach. If the time is now 11:30, at what time did Andrea arrive? - 4
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?
- 5A certain watch costs $100, and a certain pearl necklace costs $300. If the cost of the watch increases by 5% and the cost of the pearl necklace decreases by 10%, what will be the sum of their new costs?