Free Online ACT Math Practice Test 6

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

F. 16
G. 14
H. 13
J. 12
K. 10

2. The average of a and b is 6 and the average of a, b, and c is 11. What is the value of c?

A. 21
B. 17
C. 13
D. 8
E. 5

3. The greatest integer of a set of consecutive even integers is 12. If the sum of these integers is 40, how many integers are in this set?

F. 5
G. 6
H. 12
J. 20
K. 40

4. On the number line shown below, t, u, v, w, x, y, and z are coordinates of the indicated points. Which of the following is closest in value to |w - u|?

A. t
B. v
C. x
D. y
E. z

5. The length of arc XY of a circle is equal to of the circumference of the circle. The length of the arc is 7π inches. What is the radius, in inches, of the circle?

F. 42
G. 21
H. 14
J. 7
K. 3

6. Let S be the set of all integers that can be written as 2n2 - 6n, where n is a nonzero integer. Which of the following integers is in S?

A. 6
B. 30
C. 46
D. 64
E. 80

7. Let the function g be defined by g(x) = 3(x2 - 2). When g(x) = 69, what is a possible value of 2x - 3?

F. -7
G. -5
H. 2
J. 5
K. 7

8. If a + b = 25 and a > 4, then which of the following must be true?

A. a = 22
B. b < 21
C. b > 4
D. b = 0
E. a < 25

9. If m, n, and p are positive integers such that m + n is even and the value of (m + n)2 + n + p is odd, which of the following must be true?

F. m is odd
G. n is even
H. p is odd
J. If n is even, p is odd
K. If p is odd, n is odd

10. A bag contains only quarters, dimes, and nickels. The probability of randomly selecting a quarter is 1/6. The probability of randomly selecting a nickel is 1/4. Which of the following could be the total number of coins in the bag?

A. 15
B. 24
C. 30
D. 32
E. 40

11. In the xy-coordinate system, if (r, s) and (r + 2, s + t) are two points on the line defined by the equation y = 4x + 5, then t = ?

F. 4
G. 5
H. 8
J. 9
K. 11

12. In the figure shown below, sr and x > 90. Which of the following must be true?

A. s // t
B. rt
C. y = 90
D. y > 90
E. y < 90

13. Let x = 2y + 3z - 5. What happens to the value of x if the value of y decreases by 1 and the value of z increases by 2?

F. It decreases by 2
G. It is unchanged
H. It increases by 1
J. It increases by 2
K. It increases by 4

14. On the cube in the figure shown below, each of the following points is the same distance from R as it is from S EXCEPT:

A. M
B. O
C. T
D. Q
E. N

15. In the figure shown below, and intersect at O and is perpendicular to . What is the value of 3p + 4s - 2t?

F. 15°
G. 35°
H. 55°
J. 135°
K. 150°