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

2. 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) 0
B) 1/35
C) 1/3
D) 1/32
E) 4/35

3. Which of the following could be equal to

?

A) 0/4
B) 5/20
C) 4/12
D) 0.20
E) -1/4

4. Four copy machines make 240 total copies in three minutes.
How long will it take five copy machines to make the same number of copies?

A) 2 minutes, 24 seconds
B) 3 minutes, 36 seconds
C) 2 minutes
D) 2 minutes, 45 seconds
E) 2 minutes, 15 seconds

5. When x = 4 and y = 6, by how much does the value of 3x 2 - 3y exceed the value of 2x 2 - 2y?

A) 15
B) 20
C) 10
D) 5

Solutions: