In-Depth AFOQT Study Test with Fully Verified
Solutions for Aviation Info, Pilot Composite, Verbal &
Arithmetic Skill
Convert mixed number to improper fraction - correct answer 2 1/4 = 9/4
Adding fractions with different denominators - correct answer must rewrite
with common denominator.
1/2 and 2/3
Lowest common denominator is 6. 6 is a multiple of both 2 and 3. 2 and 3
are factors of 6.
1/2 * 6/6 = 6/12 = 3/6
2/3 * 6/6 = 12/18 = 4/6
3/6 + 4/6 = 7/6
Subtracting fractions with unlike denominators - correct answer
https://www.youtube.com/watch?v=2dpivvfcdqa
Multiplying fractions - correct answer multiply the numerators and put the
product over the product of the denominators
Dividing fractions - correct answer invert (reciprocal) the second fraction
and multiply
,Dividing fractions (video) - correct answer
https://www.youtube.com/watch?v=tnkpy4uqj44
Fraction to decimal - correct answer divide numerator by denominator
Fraction to decimal (video) - correct answer
https://www.youtube.com/watch?v=gn2pdkvdbgq
Convert decimal to fraction - correct answer set the decimal over 1. Then
move the decimal over as many places as it takes until it is immediately to
the right of the units digit. Reduce
Decimal to fraction (video) - correct answer
https://www.youtube.com/watch?v=dr2dye7pi74
Factorial - correct answer the product of all whole numbers except zero
that are less than or equal to a number
Factorials as fractions (video) - correct answer
https://www.youtube.com/watch?v=pxh__ugrkz8
Ratios and proportions - correct answer how can we write the ratio of
squares to circles, or 3 to 6? The most common way to write a ratio is as a
fraction, 3/6. We could also write it using the word "to," as "3 to 6." finally,
we could write this ratio using a colon between the two numbers, 3:6.
Proportion - correct answer an equation stating that two ratios are equal
,Proportions (video with cross multiplication) - correct answer
https://www.youtube.com/watch?v=go5ajwbfqvq
Exponents - correct answer the number that is small and raised to show
how many times to multiply the number by itself.
X^0 = - correct answer 1. Any base to the zero power equals 1.
Exponent negative - correct answer negative exponent becomes a
positive exponent when moved from numerator to denominator
Adding exponents - correct answer when multiplying two terms with the
same base, combine exponents by adding
Multiplying exponents - correct answer (x^a)^b = x^(a·b)
Subtract exponents - correct answer to divide powers having the same
base
Exponents and multiplication - correct answer apply the exponent to each
base to raise a product to a power
Exponents: quotient rule - correct answer apply the exponent to each
base to raise a quotient to a power
Exponents negative power - correct answer invert the fraction and change
the sign of the exponent to raise the fraction to a negative power
, Exponent numerator denominator flip - correct answer change the sign of
the exponent when moving the number from a numerator to a denominator
and vice versa.
Exponent video - correct answer https://www.youtube.com/watch?
v=zt2fdy3zrzu
List of exponent rules and practice problems - correct answer
https://www.mesacc.edu/~scotz47781/mat120/notes/exponents/review/revi
ew.html
Radicand - correct answer the number under the radical sign
Radical and fraction - correct answer radical may be expressed as a
fraction
If n is even then radicand is ______(+ or -) - correct answer positive
If n is even and x is negative - correct answer the answer is a complex
number. Ex: the squareroot of -9 is going to be 3i.
If n is odd, x will always be a real number - correct answer
If x is negative then the answer will be negative - correct answer
Radicals video - correct answer https://www.youtube.com/watch?
v=4gq3lporq-u
Solutions for Aviation Info, Pilot Composite, Verbal &
Arithmetic Skill
Convert mixed number to improper fraction - correct answer 2 1/4 = 9/4
Adding fractions with different denominators - correct answer must rewrite
with common denominator.
1/2 and 2/3
Lowest common denominator is 6. 6 is a multiple of both 2 and 3. 2 and 3
are factors of 6.
1/2 * 6/6 = 6/12 = 3/6
2/3 * 6/6 = 12/18 = 4/6
3/6 + 4/6 = 7/6
Subtracting fractions with unlike denominators - correct answer
https://www.youtube.com/watch?v=2dpivvfcdqa
Multiplying fractions - correct answer multiply the numerators and put the
product over the product of the denominators
Dividing fractions - correct answer invert (reciprocal) the second fraction
and multiply
,Dividing fractions (video) - correct answer
https://www.youtube.com/watch?v=tnkpy4uqj44
Fraction to decimal - correct answer divide numerator by denominator
Fraction to decimal (video) - correct answer
https://www.youtube.com/watch?v=gn2pdkvdbgq
Convert decimal to fraction - correct answer set the decimal over 1. Then
move the decimal over as many places as it takes until it is immediately to
the right of the units digit. Reduce
Decimal to fraction (video) - correct answer
https://www.youtube.com/watch?v=dr2dye7pi74
Factorial - correct answer the product of all whole numbers except zero
that are less than or equal to a number
Factorials as fractions (video) - correct answer
https://www.youtube.com/watch?v=pxh__ugrkz8
Ratios and proportions - correct answer how can we write the ratio of
squares to circles, or 3 to 6? The most common way to write a ratio is as a
fraction, 3/6. We could also write it using the word "to," as "3 to 6." finally,
we could write this ratio using a colon between the two numbers, 3:6.
Proportion - correct answer an equation stating that two ratios are equal
,Proportions (video with cross multiplication) - correct answer
https://www.youtube.com/watch?v=go5ajwbfqvq
Exponents - correct answer the number that is small and raised to show
how many times to multiply the number by itself.
X^0 = - correct answer 1. Any base to the zero power equals 1.
Exponent negative - correct answer negative exponent becomes a
positive exponent when moved from numerator to denominator
Adding exponents - correct answer when multiplying two terms with the
same base, combine exponents by adding
Multiplying exponents - correct answer (x^a)^b = x^(a·b)
Subtract exponents - correct answer to divide powers having the same
base
Exponents and multiplication - correct answer apply the exponent to each
base to raise a product to a power
Exponents: quotient rule - correct answer apply the exponent to each
base to raise a quotient to a power
Exponents negative power - correct answer invert the fraction and change
the sign of the exponent to raise the fraction to a negative power
, Exponent numerator denominator flip - correct answer change the sign of
the exponent when moving the number from a numerator to a denominator
and vice versa.
Exponent video - correct answer https://www.youtube.com/watch?
v=zt2fdy3zrzu
List of exponent rules and practice problems - correct answer
https://www.mesacc.edu/~scotz47781/mat120/notes/exponents/review/revi
ew.html
Radicand - correct answer the number under the radical sign
Radical and fraction - correct answer radical may be expressed as a
fraction
If n is even then radicand is ______(+ or -) - correct answer positive
If n is even and x is negative - correct answer the answer is a complex
number. Ex: the squareroot of -9 is going to be 3i.
If n is odd, x will always be a real number - correct answer
If x is negative then the answer will be negative - correct answer
Radicals video - correct answer https://www.youtube.com/watch?
v=4gq3lporq-u
