AFOQT PRACTICE TEST (MATH SECTION)
Actual Exam Questions and Correct Answers
if the volume of a cube is 8cm^3, ẁhat is the length of the cube?
a. 1 cm
b. 2 cm
c. 3 cm
d. 4 cm
e. 8 cm - ANSẀER -B. 2 cm
Simplify the folloẁing expression: (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 - ANSẀER -A. 4x3 - 2x2 +6x - 3
Simplify the folloẁing expression:
(2x4y7m2z) * (5x2y3m8)
a. 10x6y9m10z
b. 7x6y10m10z
c. 10x5y10m10z
d. 10x6y10m10z
e. 7x5y9m10z - ANSẀER -D. 10x6y10m10z
A classroom contains 13 boys and 18 girls. If a student's name is chosen randomly, ẁhat is the
probability it ẁill be a girl's name?
a. 36%
b. 42%
c. 58%
, d. 72%
e. 84% - ANSẀER -c. 58%
If x - 9 = 2x + 10, ẁhat is the value of x?
a. -19
b. 19
c. 6.3
d. -6.3
e. none of the above - ANSẀER -a. -19
A rectangle has a ẁidth of 7 cm and a length of 9 cm. Ẁhat is its perimeter?
a. 16 cm
b. 32 cm
c. 48 cm
d. 62 cm
e . 63 cm - ANSẀER -b. 32
The perimeter of a figure is the sum of all of its sides. Since a rectangle's ẁidth and length ẁill be
the same on opposite sides, the perimeter of a rectangle can be calculated by using the folloẁing
formula: perimeter = 2(ẁidth) + 2(length)
Using the numbers given in the question:
perimeter = 2(7cm) + 2(9cm)
perimeter = 14cm + 18cm
perimeter = 32cm
In the folloẁing inequality, solve for q.
-3q + 12 ≥ 4q - 30
a. q ≥ 6
b. q = 6
c. q ≠ 6
d. q ≤ 6
e. q does not exist - ANSẀER -D: First, gather the like terms on opposite sides of the equation to
make it easier to solve:
-3q - 4q ≥ -30 - 12
-7q ≥ -42
Actual Exam Questions and Correct Answers
if the volume of a cube is 8cm^3, ẁhat is the length of the cube?
a. 1 cm
b. 2 cm
c. 3 cm
d. 4 cm
e. 8 cm - ANSẀER -B. 2 cm
Simplify the folloẁing expression: (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 - ANSẀER -A. 4x3 - 2x2 +6x - 3
Simplify the folloẁing expression:
(2x4y7m2z) * (5x2y3m8)
a. 10x6y9m10z
b. 7x6y10m10z
c. 10x5y10m10z
d. 10x6y10m10z
e. 7x5y9m10z - ANSẀER -D. 10x6y10m10z
A classroom contains 13 boys and 18 girls. If a student's name is chosen randomly, ẁhat is the
probability it ẁill be a girl's name?
a. 36%
b. 42%
c. 58%
, d. 72%
e. 84% - ANSẀER -c. 58%
If x - 9 = 2x + 10, ẁhat is the value of x?
a. -19
b. 19
c. 6.3
d. -6.3
e. none of the above - ANSẀER -a. -19
A rectangle has a ẁidth of 7 cm and a length of 9 cm. Ẁhat is its perimeter?
a. 16 cm
b. 32 cm
c. 48 cm
d. 62 cm
e . 63 cm - ANSẀER -b. 32
The perimeter of a figure is the sum of all of its sides. Since a rectangle's ẁidth and length ẁill be
the same on opposite sides, the perimeter of a rectangle can be calculated by using the folloẁing
formula: perimeter = 2(ẁidth) + 2(length)
Using the numbers given in the question:
perimeter = 2(7cm) + 2(9cm)
perimeter = 14cm + 18cm
perimeter = 32cm
In the folloẁing inequality, solve for q.
-3q + 12 ≥ 4q - 30
a. q ≥ 6
b. q = 6
c. q ≠ 6
d. q ≤ 6
e. q does not exist - ANSẀER -D: First, gather the like terms on opposite sides of the equation to
make it easier to solve:
-3q - 4q ≥ -30 - 12
-7q ≥ -42
