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AFOQT (Air Force) — free MCQ practice

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AFOQT (Air Force) subjects

Quantitative Aptitude (28)

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ArithmeticMathematicsNumerical ReasoningQuantitative Aptitude

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A candidate writes a quantity as 3.75 rather than as a fraction. Writing numbers this way is called:Read the answer and worked solution →A tutor explains why decimals convert so neatly into fractions. Decimals are fractions whose denominators are powers of:Read the answer and worked solution →A candidate must convert 0.37 into a fraction. The first step is to identify the place value of the:Read the answer and worked solution →In the number 0.42, the digit 2 sits in which place, fixing the denominator of the equivalent fraction?Read the answer and worked solution →

Worked practice questions

A candidate writes a quantity as 3.75 rather than as a fraction. Writing numbers this way is called:

  1. Decimal notation
  2. Diagonal notation
  3. Doubling notation
  4. Dividing notation
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Correct answer: A. Decimal notation

1. The digits after the point stand for tenths, hundredths and so on. 2. That is a different way of writing the same value as a fraction. 3. Writing a number with a decimal point is decimal notation. _Source: OpenStax Prealgebra 2e, Chapter 5, Decimals._

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A tutor explains why decimals convert so neatly into fractions. Decimals are fractions whose denominators are powers of:

  1. Seven itself
  2. Ten itself
  3. Two itself
  4. Three itself
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Correct answer: B. Ten itself

1. The first place after the point is tenths, the next hundredths. 2. Each place is ten times smaller than the one before it. 3. So the denominators are powers of ten itself. _Source: OpenStax Prealgebra 2e, Chapter 5, Decimals._

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A candidate must convert 0.37 into a fraction. The first step is to identify the place value of the:

  1. Farthest right one
  2. Farthest left one
  3. Largest digit here
  4. Smallest digit here
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Correct answer: A. Farthest right one

1. The last digit fixes how small the fraction's parts are. 2. Here the 7 sits in the hundredths place, giving a denominator of 100. 3. So identify the place of the farthest right one, giving 37 hundredths. _Source: OpenStax Prealgebra 2e, Chapter 5, Decimals._

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