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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Câu 1: 1 điểm

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?

A.  

−2

B.  

−1

C.  

0

D.  

1

E.  

2

Câu 2: 1 điểm

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?

A.  

(11,13)

B.  

(7,8)

C.  

(4,5)

D.  

(5.5,6.5)

E.  

(−4,−8)

Câu 3: 1 điểm

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?

A.  

48

B.  

53

C.  

64

D.  

85

E.  

86

Câu 4: 1 điểm

Blair expects an increase of 3% in her current annual salary of $42,000. What would her new annual salary be?

A.  

$42,003

B.  

$42,126

C.  

$43,260

D.  

$45,000

E.  

$54,600

Câu 5: 1 điểm

The expression (6n − 5)(n + 4) is equivalent to:

A.  

6n2 − 20

B.  

6n2 − 19n − 20

C.  

6n2 − 29n − 20

D.  

6n2 + 19n

E.  

6n2 + 19n − 20

Câu 6: 1 điểm

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?

Hình ảnh

A.  

48

B.  

54

C.  

72

D.  

90

E.  

106

Câu 7: 1 điểm

x2 + 60x + 54 − 59x − 82x2 is equivalent to:

A.  

−26x2

B.  

−26x6

C.  

−81x2 + x + 54

D.  

−81x2 − x + 54

E.  

−83x2 − x − 54

Câu 8: 1 điểm

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?

A.  

5 hour

B.  

1 hour

C.  

1.5 hours

D.  

2.5 hours

E.  

3 hours

Câu 9: 1 điểm

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?

A.  

32⁄5

B.  

4

C.  

51⁄2

D.  

61⁄3

E.  

7

Câu 10: 1 điểm

|9 − 5|−|5 − 9| =?

A.  

−8

B.  

−6

C.  

−4

D.  

0

E.  

8

Câu 11: 1 điểm

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?

A.  

1

B.  

2

C.  

3

D.  

4

E.  

5

Câu 12: 1 điểm

What is the largest integer less than 42\sqrt{42} ?

A.  

3

B.  

6

C.  

7

D.  

9

E.  

23

Câu 13: 1 điểm

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?

A.  

5.00

B.  

6.25

C.  

15.70

D.  

19.63

E.  

25.00

Câu 14: 1 điểm

Which of the following is the slope of a line parallel to the line y = 25x + 7 in the standard (x, y) coordinate plane?

A.  

−7

B.  

−5⁄2

C.  

2⁄5

D.  

2

E.  

5⁄2

Câu 15: 1 điểm

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?

Hình ảnh

A.  

18

B.  

36

C.  

48

D.  

80

E.  

96

Câu 16: 1 điểm

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.

Hình ảnh

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?

A.  

50

B.  

200

C.  

525

D.  

750

E.  

900

Câu 17: 1 điểm

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.

Hình ảnh

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?

A.  

144°

B.  

108°

C.  

72°

D.  

54°

E.  

45°

Câu 18: 1 điểm

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.

Hình ảnh

What percent of the students polled chose Spartans in the poll?

A.  

40%

B.  

30%

C.  

25%

D.  

20%

E.  

15%

Câu 19: 1 điểm

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?

Hình ảnh

A.  

180

B.  

236

C.  

261

D.  

360

E.  

Cannot be determined from the given information

Câu 20: 1 điểm

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?

A.  

5

B.  

15

C.  

30

D.  

45

E.  

90


 

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