AFOQT PRACTICE TEST (MATH SECTION)
If the volume of a cube is 8cm^3, what is the length of the cube?
A. 1 cm
B. 2 cm
C. 3 cm
D. 4 cm
E. 8 cm - answers -b. 2 cm
Simplify the following 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 - answers -a. 4x3 - 2x2 +6x - 3
Simplify the following expression:
(2x4y7m2z) * (5x2y3m8)
A. 10x6y9m10z
B. 7x6y10m10z
C. 10x5y10m10z
D. 10x6y10m10z
E. 7x5y9m10z - answers -d. 10x6y10m10z
A classroom contains 13 boys and 18 girls. If a student's name is chosen randomly,
what is the probability it will be a girl's name?
A. 36%
B. 42%
C. 58%
D. 72%
E. 84% - answers -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 - answers -a. -19
Simplify the following expression: 50x^18t^6w^3z^20/5x^5t^2w^2z^19
A. 10x13t3wz
, B. 10x13t4wz
C. 10x12t4wz
D. 10x13t4wz2
E. 10x12t3w2z2 - answers -b: to simplify this expression, it is necessary to follow the
law of exponents that states: xn/xm = xn-m
First, the 50 can be divided by 5: 50/5 = 10
Then, it is simply a matter of using the law of exponents described above to simplify the
expression:
10x18-5t6-2w3-2z20-19
10x13t4wz
4! =
A. 4
B. 12
C. 16
D. 20
E. 24 - answers -e: to calculate the value of this permutation, it is necessary to multiply
each number between one and 4: 1 * 2 * 3 * 4 = 24
If a cube is 5 cm long, what is the volume of the cube?
A. 15 cm3
B. 65 cm3
C. 105 cm3
D. 125 cm3
E. 225 cm3 - answers -d: because it is a cube, it is known that the width and the height
of the cube is also 5cm. Therefore, to find the volume of the cube, we must cube 5cm:
5cm3
This is the same as: 5 * 5 * 5 = 125
The volume of the cube is 125cm3.
Solve for x by factoring: x2 -13x + 42 = 0
A. X = 6, 7
B. X = -6, -7
C. X = 6, -7
D. X = -6, 7
E. X = 7 only - answers -a: first, factor this equation to make solving for x easier:
(x - 6) (x - 7) = 0
Then, solve for both values of x:
1) x - 6 = 0
X=6
2) x - 7 = 0
X=7
A triangle has a base measuring 12 cm and a height of 12 cm. What is its area?
If the volume of a cube is 8cm^3, what is the length of the cube?
A. 1 cm
B. 2 cm
C. 3 cm
D. 4 cm
E. 8 cm - answers -b. 2 cm
Simplify the following 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 - answers -a. 4x3 - 2x2 +6x - 3
Simplify the following expression:
(2x4y7m2z) * (5x2y3m8)
A. 10x6y9m10z
B. 7x6y10m10z
C. 10x5y10m10z
D. 10x6y10m10z
E. 7x5y9m10z - answers -d. 10x6y10m10z
A classroom contains 13 boys and 18 girls. If a student's name is chosen randomly,
what is the probability it will be a girl's name?
A. 36%
B. 42%
C. 58%
D. 72%
E. 84% - answers -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 - answers -a. -19
Simplify the following expression: 50x^18t^6w^3z^20/5x^5t^2w^2z^19
A. 10x13t3wz
, B. 10x13t4wz
C. 10x12t4wz
D. 10x13t4wz2
E. 10x12t3w2z2 - answers -b: to simplify this expression, it is necessary to follow the
law of exponents that states: xn/xm = xn-m
First, the 50 can be divided by 5: 50/5 = 10
Then, it is simply a matter of using the law of exponents described above to simplify the
expression:
10x18-5t6-2w3-2z20-19
10x13t4wz
4! =
A. 4
B. 12
C. 16
D. 20
E. 24 - answers -e: to calculate the value of this permutation, it is necessary to multiply
each number between one and 4: 1 * 2 * 3 * 4 = 24
If a cube is 5 cm long, what is the volume of the cube?
A. 15 cm3
B. 65 cm3
C. 105 cm3
D. 125 cm3
E. 225 cm3 - answers -d: because it is a cube, it is known that the width and the height
of the cube is also 5cm. Therefore, to find the volume of the cube, we must cube 5cm:
5cm3
This is the same as: 5 * 5 * 5 = 125
The volume of the cube is 125cm3.
Solve for x by factoring: x2 -13x + 42 = 0
A. X = 6, 7
B. X = -6, -7
C. X = 6, -7
D. X = -6, 7
E. X = 7 only - answers -a: first, factor this equation to make solving for x easier:
(x - 6) (x - 7) = 0
Then, solve for both values of x:
1) x - 6 = 0
X=6
2) x - 7 = 0
X=7
A triangle has a base measuring 12 cm and a height of 12 cm. What is its area?
