Free Online ACT Math Practice Test 1

1. A right circular cylinder is shown below, with dimensions given in inches. What is the total surface area of the cylinder, in square inches?(Note: The total surface area of a cylinder is given by 2πr2 + 2πrh, where r is the radius and h is the height.)

A. 3π
B. 5π
C. 6π
D. 8π
E. 11π

2. Given f (x) = 3x + 5 and g(x) = x2 - x + 7, which of the following is an expression for f (g(x))?

F. 3x2 - 3x + 26
G. 3x2 - 3x + 12
H. x2 - x + 12
J. 9x2 + 25x + 27
K. 3x2 + 21

3. The table below shows the total number of touchdowns scored in each of 16 football games during a regular season. What is the average number of touchdowns scored per game, to the nearest tenth?

A. 2.6
B. 2.3
C. 2.0
D. 1.5
E. 0.9

4. In the triangles shown below, what is the average of angles a, b, c, d, and e?

F. 30°
G. 45°
H. 54°
J. 60°
K. 72°

5. (4x4)4 is equivalent to:

A. x
B. 16x8
C. 16x16
D. 256x8
E. 256x16

6. Which of the following is equivalent to the inequality 3x - 6 > 6x + 9?

F. x > -5
G. x < -5
H. x > -2
J. x < 3
K. x > 3

7. In the xy-coordinate system, (, s) is one of the points of intersection of the graphs y = 2x2+6 and y = -4x2 + m, where m is a constant. What is the value of m?

A. 30
B. 33
C. 36
D. 39
E. 42

8. For right triangle XYZ below, what is cos ∠Z?

F.
G.
H.
J.
K. Cannot be determined from the given information

9. Which of the following statements is NOT true about the arithmetic sequence 16, 11, 6, 1, … ?

A. The fifth term is -4.
B. The sum of the first 5 terms is 30.
C. The seventh term is -12.
D. The common difference of consecutive integers is -5.
E. The sum of the first 7 terms is 7.

10. If there are 6 × 1014 oxygen molecules in a volume of 3 × 107 cubic meters, what is the average number of oxygen molecules per cubic meter?

F. 2 × 105
G. 2 × 107
H. 2 × 1021
J. 18 × 107
K. 18 × 1021

11. The lengths of the sides of right triangle ABC are shown in the figure below. What is the cotangent of ∠B?

A.
B.
C.
D.
E.

12. What rational number is halfway between and ?

F.
G.
H.
J.
K.

13. If |6-2x| > 9, which of the following is a possible value of x?

A. -2
B. -1
C. 0
D. 4
E. 7

14. A square and a regular pentagon have equal perimeters. If the pentagon has sides of length 12, what is the area of the square?

F. 30
G. 48
H. 60
J. 225
K. 244

15. A classroom has 10 tables that will seat up to 4 students each. If 20 students are seated at tables, and NO tables are empty, what is the greatest possible number of tables that could be filled with students?

A. 5
B. 3
C. 2
D. 1
E. 0