ACT Math Practice Test 27
Bộ sưu tập: Tuyển Tập Bộ Đề Thi Đại Học Hoa Kỳ (ACT) - Có Đáp Án Chi Tiết
Số câu hỏi: 20 câuSố mã đề: 1 đềThời gian: 1 giờ
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Rectangle PQRS lies in the standard (x, y) coordinate plane so that its sides are not parallel to the axes. What is the product of the slopes of all four sides of rectangle PQRS?
−2
−1
0
1
2
In the standard (x, y) coordinate plane, point B with coordinates (5,6) is the midpoint of AC, and A has coordinates (6,7). What are the coordinates of C?
(11,13)
(7,8)
(4,5)
(5.5,6.5)
(−4,−8)
The 6 consecutive integers below add up to 513.
n − 2
n − 1
n
n + 1
n + 2
n + 3
What is the value of n?
48
53
64
85
86
Blair expects an increase of 3% in her current annual salary of $42,000. What would her new annual salary be?
$42,003
$42,126
$43,260
$45,000
$54,600
The expression (6n − 5)(n + 4) is equivalent to:
6n2 − 20
6n2 − 19n − 20
6n2 − 29n − 20
6n2 + 19n
6n2 + 19n − 20
The figure below is composed of square ABDE and equi-lateral triangle BCD. The length of line segment AE is 18 centimeters. What is the perimeter of ABCDE, in centimeters?
48
54
72
90
106
x2 + 60x + 54 − 59x − 82x2 is equivalent to:
−26x2
−26x6
−81x2 + x + 54
−81x2 − x + 54
−83x2 − x − 54
Runner A averages 5 miles per hour, and Runner B averages 6 miles per hour. At these rates, how much longer does it take Runner A than Runner B to run 15 miles?
5 hour
1 hour
1.5 hours
2.5 hours
3 hours
An editor charges $30 for each hour he works on a book project, plus a flat $25 editing fee. How many hours of work are included in a $190 bill for a book project?
32⁄5
4
51⁄2
61⁄3
7
|9 − 5|−|5 − 9| =?
−8
−6
−4
0
8
Amanda plans to paint the 4 walls of her bedroom with 1 coat of paint. The walls are rectangular, and each wall measures 12 feet by 14 feet. She will not paint either the 3-foot-by-4-foot rectangular window in her bedroom or the 3-foot-by-7-foot rectangular bedroom door. Amanda knows that each gallon of paint covers between 350 and 400 square feet. If only 1-gallon cans of paint are available, which of the following is the minimum number of cans of paint Amanda needs to buy to paint her bedroom walls?
1
2
3
4
5
What is the largest integer less than ?
3
6
7
9
23
A circular lamp base has a radius of 2.5 inches. When placed on a flat table, approximately how much area does the lamp base cover, in square inches?
5.00
6.25
15.70
19.63
25.00
Which of the following is the slope of a line parallel to the line y = 2⁄5x + 7 in the standard (x, y) coordinate plane?
−7
−5⁄2
2⁄5
2
5⁄2
The total surface area of the rectangular solid shown below is the sum of the areas of the 6 sides. What is the solid’s total surface area, in square inches?
18
36
48
80
96
A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below.
If the poll is indicative of how the 3,000 students at Center High School will actually vote, which of the following is the best estimate of the number of votes Knights will receive?
50
200
525
750
900
A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below.
If the information in the table were converted to a pie chart, then the central angle of the sector for Lions would
measure how many degrees?
144°
108°
72°
54°
45°
A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below.
What percent of the students polled chose Spartans in the poll?
40%
30%
25%
20%
15%
Given the triangle shown below with exterior angles that measure a˚, b˚, and c˚ as shown, what is the sum of a, b, and c?
180
236
261
360
Cannot be determined from the given information
If Tom traveled 45 miles in 12 hours and Jim traveled four times as far in one-third the time, what was Jim’s average speed, in miles per hour?
5
15
30
45
90
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