Free ACT Math Practice Test 5

1. The total surface area of the rectangular solid shown below is the sum of the areas of the 6 sides. What is the solid's total surface area, in square inches?

F. 18
G. 36
H. 48
J. 80
K. 96

2. Which of the following is the slope of a line parallel to the line in the standard (x, y) coordinate plane?

A. -7
D. 2

3. A circular lamp base has a radius of 2.5 inches. When placed on a flat table, approximately how much area does the lamp base cover, in square inches?

F. 5.00
G. 6.25
H. 15.70
J. 19.63
K. 25.00

4. What is the largest integer less than ?

A. 3
B. 6
C. 7
D. 9
E. 23

5. Amanda plans to paint the 4 walls of her bedroom with 1 coat of paint. The walls are rectangular, and each wall measures 12 feet by 14 feet. She will not paint either the 3-foot-by-4-foot rectangular window in her bedroom or the 3-foot-by-7-foot rectangular bedroom door. Amanda knows that each gallon of paint covers between 350 and 400 square feet. If only 1-gallon cans of paint are available, which of the following is the minimum number of cans of paint Amanda needs to buy to paint her bedroom walls?

F. 1
G. 2
H. 3
J. 4
K. 5

6. For all x > 0, the expression equals:

A. x-6
B. x3
C. x6
D. x12
E. x27

7. What values of a are solutions for a2 + 2a = 8?

F. 6 and 8
G. 0 and 2
H. -2 and 4
J. -2 and 0
K. -4 and 2

8. In the square graphed below, what is the slope of line segment AC?

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

9. The fixed costs of printing a certain textbook are $900.00 per week. The variable costs are $1.50 per textbook. Which of the following expressions can be used to model the cost of printing t textbooks in 1 week?

F. $901.50t
G. $150t-$900.00
H. $900.00t+$1.50
J. $900.00-$1.50t
K. $900.00 + $1.50t

10. In the figure shown below, the perimeter of the triangle is . What is the value of x?

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

11. If , then y =?

F. 1
H. 11
J. 22
K. 36

12. Casey has buckets of 3 different sizes. The total capacity of 12 of the buckets is g gallons, the total capacity of 8 buckets of another size is g gallons, and the total capacity of 4 buckets of the third size is also g gallons. In terms of g when g > 0, what is the capacity, in gallons, of each of the smallest-sized buckets?

D. 12g
E. 8g

13. What is the area of a circle that has a circumference of .5π?

F. 0.0625π
G. 0.10π
H. 0.25π
J. 25π
K. 625π

14. Cube X has an edge length of 2 inches. Cube Y has an edge length triple that of Cube X. What is the volume, in cubic inches, of Cube Y?

A. 6
B. 12
C. 36
D. 72
E. 216

15. A formula used to compute the current value of an investment account is A = P(1 + r)n, where A is the current value, P is the amount deposited, r is the rate of interest for 1 compounding period, expressed as a decimal, and n is the number of compounding periods. Which of the following is closest to the value of an investment account after 3 years if $8,000 is deposited at 5% annual interest compounded annually?

F. $8,400
G. $9,261
H. $15,730
J. $25,200
K. $33,463