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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. FILL BLANK
There are 750 students in the auditorium for an assembly. When the assembly ends, the students begin to leave. If 32% of the students have left so far, how many students are still in the auditorium?

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

3. 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) 4/35
C) 1/3
D) 1/35
E) 1/32

4. A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet's owner will reward the finder with 1 bill drawn randomly from the wallet.
What is the probability that the bill drawn will be a twenty-dollar bill?

A) 2/5
B) 2/3
C) 1/20
D) 4/51
E) 1/8

5. In the diagram above, lines NO and PQ are parallel to each other and perpendicular to lines JK and LM. Line JK is parallel to line LM. If

is 70º, what is the measure of

?

A) 70º
B) 10º
C) 90º
D) 110º
E) 20º

Solutions: