ACT-Math試験無料問題集（280題）「ACT American College Testing: Math Section 認定」

出題：1

What is the period of the function f(x) = csc(4x)?

A. 4π

B. 2π

C. π

D. π/4

E. π/2

正解：E 解答を投票する

出題：2

The value of d is increased 50%, then decreased 50%.
Compared to its original value, the value of d is now:

A. 25% smaller.

B. the same.

C. 25% larger.

D. 50% larger.

E. 50% smaller.

正解：A 解答を投票する

出題：3

The expression

can be reduced to:

A.

B.

C. x + 5.

D.

E. 1.

正解：B 解答を投票する

出題：4

A building built on a level field casts a shadow seven feet long and stands 35 feet tall. A nearby building casts a shadow 14 feet long.
How tall is the building?

A. 28

B. 42

C. 70

D. 56

正解：C 解答を投票する

出題：5

What is x, the second term in the series of 1/3 + x + 1/27 + 1/81...?

A. 1/6

B. 1/15

C. 1/12

D. 1/9

正解：D 解答を投票する

出題：6

FILL BLANK
Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9, 5).
What is the area of rectangle ABCD?

正解：

84

出題：7

Ray

bisects

, the measure of

is 11x °, and the measure of

is
(4x + 18)°. What is the measure of

?

A.

B.

C. 12°

D. 42°

E. 66°

正解：E 解答を投票する

出題：8

The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5.
If the volume of the prism is 1,620 mm3, what is the width of the prism?

A. 9 mm

B. 27 mm

C. 3 mm

D. 6 mm

E. 18 mm

正解：E 解答を投票する

出題：9

In the standard (x, y) coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (-3, 0) and (7, 4)?

A. (5, 2)

B. (2, 2)

C. (5, 5)

D. (2, 4)

E. (5, 4)

正解：B 解答を投票する

出題：10

What is the tenth term of the pattern below?
2/3, 4/9, 8/27, 16/81 ...

A. 210/3

B. 20/30

C. (2/3)10

D. (2/3)2/3

E. 2/310

正解：C 解答を投票する

出題：11

If g × 1/4 = 16, then g × (-1/5):

A. 8

B. 4

C. 1/4

D. 16/5

E. 1/8

正解：C 解答を投票する

出題：12

You are given the following system of equations:
y = x 2
rx + sy = t
where r, s, and t are integers.
For which of the following will there be more than one (x, y) solution, with real-number coordinates, for the system?

A. r 2 - 4st < 0

B. r 2 + 4st > 0

C. s 2 - 4rt < 0

D. s 2 + 4rt < 0

E. s 2 - 4rt > 0

正解：B 解答を投票する

出題：13

What is the tenth term of the sequence: 5, 15, 45, 135, ... ?

A.

B. 5 × 3 9

C. (5 × 3) 9

D. 5 × 3 10

E. 5 10

正解：B 解答を投票する

出題：14

If x × y = 156, x + y = 43, and x < y, what is the value of x - y?

A. -24

B. 35

C. -35

D. 0

正解：C 解答を投票する

出題：15

The number of decibels, d, produced by an audio source can be modeled by the equation:

where I is the sound intensity of the audio source and K is a constant.
How many decibels are produced by an audio source whose sound intensity is 1,000 times the value of K?

A. 30

B. 4

C. 100

D. 10,000

E. 40

正解：A 解答を投票する

出題：16

What is the value of x when 2x + 7 = 3x - 5?

A. 2

B. 6

C. 12

D. 24

正解：C 解答を投票する

出題：17

The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club.
What is the probability that Hiroko, who is a member of the club but NOT an officer, will be chosen?

A. 1/32

B. 1/35

C. 4/35

D. 1/3

E. 0

正解：A 解答を投票する

ACT-Math試験無料問題集「ACT American College Testing: Math Section 認定」