ACT ACT-Math

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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. One of the following graphs in the standard ( x , y ) coordinate plane is the graph of y = sin 2 x + cos 2 x over the domain -π/2 ≤ x ≤ π/2.
Which one?
A)

B)

C)

D)

E)

A) Option F
B) Option A
C) Option E
D) Option C
E) Option D
F) Option B

2. The statement "Raphael runs every Sunday" is always true.
Which of the following statements is also true?

A) If it is Sunday, it is impossible to determine if Raphael runs.
B) If it is not Sunday, then Raphael does not run.
C) If Raphael runs, then it is Sunday.
D) If it is Sunday, then Raphael does not run.
E) If Raphael does not run, then it is not Sunday.

3. If the surface area of a cube is 384 cm2, what is the volume of the cube?

A) 256 cm3
B) 115 2 cm3
C) 51 2 cm3
D) 4096 cm3
E) 64 cm3

4. The population ( x ) of town ( y ) since 2000 can be estimated by the equation x = 1.0635 z + 3,250, where z is the number of years since 2000 and 0 ≤ z ≤ 20.
In the context of this equation, what does the number 1.0635 most likely represent?

A) The estimated population of town (y) in 2000.
B) The factor by which the population of town (y) has grown annually.
C) The estimated population of town (y) in 2017.
D) The factor by which the population of town (y) has decreased annually.

5. In the diagram above, lines M and N are parallel.

All of the following are true EXCEPT:

A) g = h.
B) c + f = f + b.
C) g + e + f + h = 360.
D) a + b = j + l.
E) d + e = f + j.

Solutions: