AFOQT Math Knowledge subtest contains 25 questions and it must be completed in 22 minutes. Questions in this section are focused on mathematical terms and principles that derive from algebra and geometry.
4. Math Knowledge
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DIRECTIONS: This part of the test measures your knowledge of mathematical terms and principles. Problems in the Math Knowledge section are presented in a straightforward math equation format. This differs from Arithmetic Reasoning, which has more real case word problems to solve. Questions within this section typically have equations that involve fractions, factors and percentages, although there can also be a smaller word problem. Each problem is followed by four possible answers. You are to decide which one of the choices is correct. Click the button below to begin.
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Question 1 of 25
1. Question
\[ \frac{17}{20} + \frac{6}{100} + \frac{15}{50} = \]
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Question 2 of 25
2. Question
The value \[ (\frac{1}{9}) \sqrt{81} \] is equal to
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Question 3 of 25
3. Question
If \(5 v – u = – 2\) and \(– v + 9 u = 18\) then the simultaneous solution of the given equation is:
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Question 4 of 25
4. Question
The factors of \( 30x^2 – 30 \) are:
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Question 5 of 25
5. Question
Solve: \[3 \times 10 + 2 = \]
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Question 6 of 25
6. Question
Solve: \[8 \times 9 – 2 = \]
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Question 7 of 25
7. Question
Solve for \( x \): \[7 + 14 = 7 \times x \] \( x \) =
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Question 8 of 25
8. Question
Solve for \( x \): \[42 \div 6 = x – 12\] \( x \) =
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Question 9 of 25
9. Question
Calculate the following as a mixed number: \[\frac{3}{4} + \frac{2}{3} =\]
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Question 10 of 25
10. Question
Calculate the following as a mixed number: \[\frac{3}{4} + \frac{7}{8} =\]
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Question 11 of 25
11. Question
If \(a + b = 12\) and \(a – 4b = 12\), calculate \(b\)
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Question 12 of 25
12. Question
\[6 \times \frac{1}{6} =\]
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Question 13 of 25
13. Question
Solve for \( x \): \[9x – 8 = 55\]
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Question 14 of 25
14. Question
\(\frac{2}{3}\) is equal to:
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Question 15 of 25
15. Question
If \[\frac{x}{63} = \frac{1}{9}\] then \(x =\)
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Question 16 of 25
16. Question
Calculate: \[(3(52(62))+3)+2\]
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Question 17 of 25
17. Question
What is the value of \( x \) when: \[2x + 3 = 3x – 4\] ?
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Question 18 of 25
18. Question
Solve for \( x \): \[3 + 9 = 3x^{2}\]
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Question 19 of 25
19. Question
On a map, 1 inch represents 30 miles. The distance between 2 towns is 6 1/2 inches. How many miles are actually between the towns?
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Question 20 of 25
20. Question
1.25 + 1.25 + 1.25 – 1.25 + 1.5 =
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Question 21 of 25
21. Question
Sally bought a sweater for $40 and had to pay 15% sales tax on her transaction. What was Sally’s total bill?
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Question 22 of 25
22. Question
Eric makes $1,600 per month. He spends $320 on groceries. What percentage of his income does Eric spend on groceries
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Question 23 of 25
23. Question
Angles A, B, and C measure 72 degrees, 99 degrees, and 21 degrees respectively. By how much (total) would these angles have to be adjusted to form a triangle?
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Question 24 of 25
24. Question
Of the popluation of 8,420 people, 4,400 have voted. Approximately how many people within the population have voted?
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Question 25 of 25
25. Question
Of the following choices, which is a valid value for \( x \)? \[x = (7 \times 6) + (4 \times 6)\]
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