AFOQT PRACTICE TEST (MATH
SECTION) 2024-2025
If a cube has a volume of 8cm^3, what is its length?
a. 1 cm
b. 2 cm
c. 3 cm
d. 4 cm
e. 8 cm; ANSWER B. 2 cm.
Simplify the formula (2x2 + 3) (2x - 1).
a. 4x3 - 2x2 +6x - 3
b. 2x2 +6x - 3
c. 4x3 - 2x2 +6x + 3
d. 4x3 - 2x2 - 6x - 3
e. 2x2 - 6x + 3 - answer A. 4x3 - 2x2 +6x - 3
Simplify the following ex
pression.
(2x4y7m2z) x (5x2y3m8)
a. 10x6Y9M10Z
b: 7x6y10m10z
,c: 10x5y10m10z
d: 10x6y10m10z
e. 7x5y9m10z ANSWER: D. 10x6y10m10z
A classroom has thirteen guys and eighteen girls. What is the probability that a
random student's name will be a girl's name?
a. 36%
b. 42%
c. 58%
d. 72%
e. 84%, ANSWER c. 58%
If x - 9 = 2x + 10, what is the value of x?
a. -19
b. 19
c. 6.3
d. -6.3
e. none of the above, ANSWER a. -19
A rectangle is 7 cm wide and 9 cm long. What is the perimeter?
a. 16 cm
b. 32 cm
, c. 48 cm
d. 62 cm
e. 63 cm, ANSWER b. 32
The perimeter of a figure is the total of its sides. Because a rectangle's width and
length are equal on opposite sides, the perimeter may be determined using the
following formula: perimeter = 2 (width) + 2 (length).
Using the numbers specified in the question:
Perimeter = 2(7 cm) + 2(9 cm)
perimeter equals 14cm + 18cm
perimeter equals 32cm
Solve for q in the following inequality.
-3q + 12 ≥ 4q - 30
a. q ≥ 6
b. q = 6
c. q ≠ 6
d. q ≤ 6
e. q doesn't exist. ANSWER D: First, collect the like terms on opposing sides of
the equation to make it easier to solve:
-3q - 4q ≥ -30 - 12
-7q ≥ -42
SECTION) 2024-2025
If a cube has a volume of 8cm^3, what is its length?
a. 1 cm
b. 2 cm
c. 3 cm
d. 4 cm
e. 8 cm; ANSWER B. 2 cm.
Simplify the formula (2x2 + 3) (2x - 1).
a. 4x3 - 2x2 +6x - 3
b. 2x2 +6x - 3
c. 4x3 - 2x2 +6x + 3
d. 4x3 - 2x2 - 6x - 3
e. 2x2 - 6x + 3 - answer A. 4x3 - 2x2 +6x - 3
Simplify the following ex
pression.
(2x4y7m2z) x (5x2y3m8)
a. 10x6Y9M10Z
b: 7x6y10m10z
,c: 10x5y10m10z
d: 10x6y10m10z
e. 7x5y9m10z ANSWER: D. 10x6y10m10z
A classroom has thirteen guys and eighteen girls. What is the probability that a
random student's name will be a girl's name?
a. 36%
b. 42%
c. 58%
d. 72%
e. 84%, ANSWER c. 58%
If x - 9 = 2x + 10, what is the value of x?
a. -19
b. 19
c. 6.3
d. -6.3
e. none of the above, ANSWER a. -19
A rectangle is 7 cm wide and 9 cm long. What is the perimeter?
a. 16 cm
b. 32 cm
, c. 48 cm
d. 62 cm
e. 63 cm, ANSWER b. 32
The perimeter of a figure is the total of its sides. Because a rectangle's width and
length are equal on opposite sides, the perimeter may be determined using the
following formula: perimeter = 2 (width) + 2 (length).
Using the numbers specified in the question:
Perimeter = 2(7 cm) + 2(9 cm)
perimeter equals 14cm + 18cm
perimeter equals 32cm
Solve for q in the following inequality.
-3q + 12 ≥ 4q - 30
a. q ≥ 6
b. q = 6
c. q ≠ 6
d. q ≤ 6
e. q doesn't exist. ANSWER D: First, collect the like terms on opposing sides of
the equation to make it easier to solve:
-3q - 4q ≥ -30 - 12
-7q ≥ -42