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ACT American College Testing: Math Section Sample Questions:

1. A dormitory now houses 30 men and allows 42 square feet of space per man.
If five more men are put into this dormitory, how much less space will each man have?

A) 9 square feet
B) 5 square feet
C) 7 square feet
D) 6 square feet
E) 8 square feet

2. 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, 5)
B) (5, 4)
C) (5, 2)
D) (2, 2)
E) (2, 4)

3. If n = 8, what is 4 n - 8 ?

A) 1
B) 0
C) 3
D) 2

4. What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3?

A) 3/5
B) 3/8
C) 5/8
D) 7/8
E) 1/4

5. A circle in the standard ( x , y ) coordinate plane has center C (-1, 2) and passes through A (2, 6). Line segment

is a diameter of this circle. What
are the coordinates of point B?

A) (5, 10)
B) (-6, -2)
C) (4, 2)
D) (-5, -1)
E) (-4, -2)

Solutions: