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ACT American College Testing: Math Section Sample Questions:

1. A rectangle with a perimeter of 30 centimeters is twice as long as it is wide.
What is the area of the rectangle in square centimeters?

A) 40
B) 30
C) 20
D) 50

2. At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins.
What is the expected value of x?

A) 6
B) 9
C) 3/2
D) 1
E) 9/2

3. 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 E
C) Option D
D) Option A
E) Option F
F) Option C

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

A) 1/9
B) 1/6
C) 1/12
D) 1/15

5. If b3 = -64, then b 2 - 3b - 4 =:

A) -4.
B) 0.
C) 28.
D) -6.
E) 24.

Solutions: