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ACT Math Practice Test 2
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The ACT Mathematics Test contains 60 questions to be answered in 60 minutes.  The hardest ACT math questions (the last 10 to 15 questions) fall into two types: advanced concepts and complex questions. Advanced concepts questions cover what you learn in precalculus and trigonometry. FYI: Students that get into Harvard College have an ACT score of 34–36.
ACT Math Practice Test 2
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25 Questions

1. The figure shows two congruent segments ( and ) that are perpendicular to the number line at points 4 and 8, respectively, and that end when they intersect two rays, one that extends from point 0 and the other that extends from point 6. Segment is moved to the right along the number line. The ray that extends from point 6 is rotated until it intersects the top of segment at its new position and images. How many units to the right was segment moved?
image
2. What is the value of in the (, ) solution to the following system of equations?images<>
3. In the standard -coordinate plane, the -coordinate of the midpoint of a line segment with endpoints (–7, 4) and (–1, 4) is:
4. Larry, Greg, and Ralph raise dogs. Larry’s Labradors has two-thirds as many dogs as Greg’s Goldens, which has three-fourths as many dogs as Ralph’s Retrievers. If Larry has 50 dogs, how many dogs does Ralph have?
5. The two triangles in the figure are similar, and = 6 units. What is the value in units of images?
image
6. images bisects images and images bisects images The measure of images is images. What is the measure in degrees of imagesin the figure?
image
7. Jordy earns a 4% commission on every magazine subscription he sells. If he sells $1,354 in magazine subscriptions, how much does he earn?
8. Which of the following expresses all values of that make the solution of images positive and nonzero?
9. In the right triangle in the figure, images measures 5 units and images measures 4 units. For images, which of the following has a value of images?
image
10. In the figure below, , , and are collinear. The measure of images is 4 times that of images. What is the measure of images?
image
11. To accommodate a wheelchair, a couple places a triangular ramp from the ground to the base of a doorway as shown below. Given that the base of the doorway is 15 inches directly above the ground and the base of the ramp is 36 inches, what is the length in inches of the ramp?
image
12. Triangle is an equilateral triangle with an area of 16. Triangle is an isosceles right triangle with an area of 32. Which of the following represents the ratio of the sum of the interior angles in triangle to the sum of the interior angles in
13. Polygon ABCD below is a trapezoid. What is the measure in degrees of images?
image
14. The first five terms of an arithmetic series are 1, .75, 0.5, 0.25, and 0. What is the sixth term?
15. In the figure, images. What does equal?
image
16. images of a number is equal to images of 11 more than that number. What is the number?
17. If basis points are defined so that 5 percent is equal to 100 basis points, then 7.5 percent is how many basis points greater than 5.5 percent?
18. In which of the following pairs are the two numbers reciprocals of one another? I. images and imagesII. images and imagesIII. 4 and images
19. In the figure, images is parallel to the axis and images. Point is the center of the circle. What are the coordinates of point ?
image
20. Where defined, what is the equivalent of images?
21. In the figure, images
image
22. A statistician for a baseball team calculated that the average batting-average for the 9 starters is 0.252, and the average batting-average for the 11 reserves is 0.225. What is the average batting-average for the whole team?
23. In images below, and are endpoints of a line that is parallel to images. If it can be determined, what is the ratio of the area of images to the area of images?
image
24. A professional women’s basketball team conducted a free-throw shooting experiment. Each trial of the experiment consisted of each member of the team taking turns shooting 10 free throws and counting the number of made baskets that resulted. The results for 50 trials were recorded in the chart below. Approximately what percent of the trials had 7 or more made baskets?
image
25. If images, then images

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