Free Online ACT Math Practice Test 5

1. For x2 ≠ 169,

A.
B.
C.
D.
E.

2. If n = m + 2, then (m - n)4 = ?

F. 16
G. 8
H. 1
J. -8
K. -16

3. The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which equation below determines the correct value of a?

A. 5(2a + 9) + 2a = 74
B. 5(2a - 9) + 2a = 74
C. (4a + 9) + 5a = 74
D. 2(2a + 9) + 5a = 74
E. 2(2a - 9) + 5a = 74

4. When

F. 0
G. 4y2
H. -4y2
J. -8y2
K. 4y

5. The ratio of the side lengths for a triangle is exactly 15:14:12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?

A. 6.4
B. 8.0
C. 9.3
D. 12.0
E. Cannot be determined from the given information

6. If a and b are positive integers such that the greatest common factor of a2b2 and ab3 is 45, then which of the following could b equal?

F. 3
G. 5
H. 9
J. 15
K. 45

7. The costs of carriage rides of different lengths, given in half miles, are shown in the table below:Each cost consists of a fixed charge and a charge per half mile. What is the fixed charge?

A. $0.50
B. $1.00
C. $5.50
D. $5.00
E. $1.50

8. The hypotenuse of right triangle ABC shown below is 16 inches long. The sine of angle A is . About how many inches long is ?

F. 8.0
G. 9.6
H. 12.4
J. 14.3
K. 15.6

9. A circle in the standard (x, y) coordinate plane has center (12,-5) and radius 4 coordinate units. Which of the following is an equation of the circle?

A. (x - 12)2 + (y - 5)2 = 4
B. (x - 12)2 - (y + 5)2 = 4
C. (x - 12)2 - (y - 5)2 = 8
D. (x - 12)2 + (y - 5)2 = 16
E. (x - 12)2 + (y + 5)2 = 16

10. What is the largest integer value of t that satisfies the inequality ?

F. 30
G. 19
H. 18
J. 10
K. 8

11. What is the distance in the standard (x, y) coordinate plane between the points (5,5) and (1,0)?

A.
B.
C. 4
D. 6
E. 16

12. In the figure below, LMNO is a trapezoid, O lies on LP, and angle measures are as marked. What is the measure of angle MON?

F. 15°
G. 25°
H. 30°
J. 35°
K. 45°

13. In ΔABC, ABAC and the measure of ∠B is 34°. What is the measure of ∠A?

A. 34°
B. 56°
C. 68°
D. 73°
E. 112°

14. In a certain budget, 30% of the money goes toward housing costs, and, of that portion, 20% goes toward rent. If the amount of money that goes toward rent is $630, what is the total amount of the budget?

F. $1,680
G. $2,100
H. $4,095
J. $7,560
K. $10,500

15. What is the matrix product ?

A.
B.
C. [2x 3x 5x]
D. [9x 0 -9x]
E. [0]