10 Most Common AFOQT Math Questions

B. 2.33

C. 10.29

D. 6.40

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Answers:

2- D
\(\frac{180}{20}=9\)

3- D
Volume of a box = length \(\times \) width \(\times \) height = 4 \(\times \) 5 \(\times \) 6 = 120

4- D
Simplify.
\(6x^2 y^3 (2x^2 y)^3= 6x^2 y^3 (8x^6 y^3 ) = 48x^8 y^6\)

5- D
average \(=\frac{sum}{total}=\frac{240}{60}=4\)

6- D
Write a proportion and solve.
\(\frac{\frac{1}{5}}{1}=\frac{50}{x}\)
\(x=\frac{50}{\frac{1}{5}}= 250\)

7- B
Write the numbers in order:
2, 19, 27, 28, 35, 44, 67
Median is the number in the middle. So, the median is 28

8- C
If \(a = 3\) then:
\(b = \frac{a^2}{3}+ 3 ⇒ b =\frac{3^2}{3}+ 3 = 3 + 3 = 6\)

9- D
Isolate and solve for \(x\).
\(\frac{2}{3} x+\frac{1}{6} = \frac{1}{3} {\Rightarrow} \frac{2}{3} x= \frac{1}{3} -\frac{1}{6} = \frac{1}{6} {\Rightarrow} \frac{2}{3} x= \frac{1}{6}\)
Multiply both sides by the reciprocal of the coefficient of \(x\).
\((\frac{3}{2}) \frac{2}{3} x= \frac{1}{6} (\frac{3}{2}) {\Rightarrow} x= \frac{3}{12}=\frac{1}{4}\)

10- D
Use Pythagorean Theorem: \(a^2 + b^2 = c^2\)
\((4)^2 + (5)^2 = c^2 ⇒ 16 + 25 = 41 = C^2\)
\(C = \sqrt{41} = 6.403\)

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