Free Online ACT Math Practice Test 2

1. If x < y, then |x - y| is equivalent to which of the following?

F. x + y
G. -(x + y)
H.
J. x - y
K. -(x - y)

2. The trapezoid below is divided into 2 triangles and 1 rectangle. Lengths are given in centimeters. What is the combined area, in square centimeters, of the 2 shaded triangles?

A. 18
B. 12
C. 9
D. 6
E. 4

3. In the figure below, all line segments are either horizontal or vertical, and the dimensions given are in feet. What is the perimeter, in feet, of the figure?

F. 20
G. 24
H. 26
J. 28
K. 32

4. If c is directly proportional to s2 and when , what is the value of s when c = 175?

A. 2
B. 3
C. 4
D. 5
E. 6

5. If the value, to the nearest thousandth, of cos α is -0.385, which of the following could be true about α?

F.
G.
H.
J.
K.

6. An integer from 10 through 99, inclusive, is to be chosen at random. What is the probability that the number chosen will have 0 as at least 1 digit?

A.
B.
C.
D.
E.

7. A 12-centimeter-by-16-centimeter rectangle is inscribed in a circle as shown below. What is the area of the circle, in square centimeters?

F. 5π
G. 14π
H. 25π
J. 100π
K. 192π

8. If loga x = n and loga y = p, then loga(xy)2 =?

A. np
B. 2np
C. 4np
D. n + p
E. 2(n + p)

9. For every positive 2-digit number, a, with units digit x and tens digit y, let b be the 2-digit number formed by reversing the digits of a. Which of the following expressions is equivalent to a - b?

F. 0
G. 9x - y
H. 9y - x
J. 9(x - y)
K. 9(y - x)

10. If f (a) = a2 - 2, then f (a + b) =?

A. a2 + b2
B. a2 - 2 + b
C. a2 + b2 - 2
D. a2 + 2ab + b2
E. a2 + 2ab + b2 - 2

11. In the complex numbers, where i2 = -1,

F. i - 1
G. 1 + i
H. 1 - i
J.
K.

12. Amy's best marathon time decreased by 10% from 2005 to 2006 and by 20% from 2006 to 2007. By what percent did her best marathon time decrease from 2005 to 2007?

A. 28%
B. 30%
C. 50%
D. 72%
E. 10%

13. The sum of an infinite geometric sequence series with first term x and common ratio y < 1 is given by . The sum of a given infinite geometric series is 200, and the common ratio is 0.15. What is the second term of this series?

F. 199.85
G. 170
H. 169.85
J. 30
K. 25.5

14. How many different integer values of a satisfy the inequality ?

A. 1
B. 2
C. 3
D. 4
E. 5

15. In 3 fair coin tosses, where the 2 outcomes, heads and tails, are equally likely, what is the probability of obtaining exactly 2 heads?

F.
G.
H.
J.
K.