ASVAB MATH KNOWLEDGE QUESTIONS
AND ANSWERS
integer - ANSWER any positive or negative whole number or zero, such as -6,
0, or 27.
Factors are integers (whole numbers) that can be equally divided into another
integer. To factor a number, simply identify the numbers that can be divided by
it.
A composite number is a whole number that may be divided evenly by itself, 1,
and one or more other whole numbers.
A prime number is a full number that can be divided equally by itself and by
one but not by any other integer.
Exponents are a shorthand for denoting repeated multiplication. For example,
15×15 can be represented as 15².
base - ANSWER a number that has been used as a factor at least twice; it is a
number raised to the exponent. For example, the base of 4³ is four.
square root - ANSWER the number that, when multiplied by itself, equals the
original number. For example, the square root of 36 is 6, and if you square 6 or
multiply it by itself, you get 36.
The factorial is denoted with an exclamation point. It is calculated by
multiplying a whole integer by all the whole numbers less than it down to one.
For example, 6 factorial is 6×5×4×3×2×1.
reciprocal - ANSWER the number by which another number may be multiplied
to create 1; for a fraction, its reciprocal is that fraction turned upside down.
sum - ANSWER When you add two numbers together, you get a
Difference - ANSWER When you subtract, all that remains is
, ANSWER: When you multiply, you get a
quotient - ANSWER When you divide, you end up with
order of operations step 1 - ANSWER parentheses take precedence; anything
enclosed in parenthesis should be completed first.
order of operations step 2 - ANSWER exponents are next.
order of operations step 3: ANSWER multiplication and division.
Order of operations stage 4 - ANSWER addition and subtraction come last.
Dividing a fraction is equivalent to multiplying it by the inverse (reciprocal) of
that integer.
To convert a fraction into a decimal, divide the numerator by the denominator.
To convert a decimal into a percentage - ANSWER Move the decimal point two
spaces to the right and add a percent sign, so 0.6 becomes 60%.
To convert a percentage to a decimal, drop the percent sign and move the
decimal point two positions to the left, adding zeros as necessary.
dividing the number of miles by the amount of petrol - ANSWER How do you
calculate your gas mileage?
If Margaret invested in her tattoo parlor at a 2:1 ratio to her partner Julie,
Margaret would have put in $2 for every $1 Julie put in.
1/250=m/1,250 (1,250×)1/250=m/1,250(×1,250)
1,250/250=m m=5 - ANSWER If a road map has a scale of 1 inch equals 250
miles, how many inches would indicate 1,250 miles?
rate is a fixed amount, such as a 5% interest rate.
AND ANSWERS
integer - ANSWER any positive or negative whole number or zero, such as -6,
0, or 27.
Factors are integers (whole numbers) that can be equally divided into another
integer. To factor a number, simply identify the numbers that can be divided by
it.
A composite number is a whole number that may be divided evenly by itself, 1,
and one or more other whole numbers.
A prime number is a full number that can be divided equally by itself and by
one but not by any other integer.
Exponents are a shorthand for denoting repeated multiplication. For example,
15×15 can be represented as 15².
base - ANSWER a number that has been used as a factor at least twice; it is a
number raised to the exponent. For example, the base of 4³ is four.
square root - ANSWER the number that, when multiplied by itself, equals the
original number. For example, the square root of 36 is 6, and if you square 6 or
multiply it by itself, you get 36.
The factorial is denoted with an exclamation point. It is calculated by
multiplying a whole integer by all the whole numbers less than it down to one.
For example, 6 factorial is 6×5×4×3×2×1.
reciprocal - ANSWER the number by which another number may be multiplied
to create 1; for a fraction, its reciprocal is that fraction turned upside down.
sum - ANSWER When you add two numbers together, you get a
Difference - ANSWER When you subtract, all that remains is
, ANSWER: When you multiply, you get a
quotient - ANSWER When you divide, you end up with
order of operations step 1 - ANSWER parentheses take precedence; anything
enclosed in parenthesis should be completed first.
order of operations step 2 - ANSWER exponents are next.
order of operations step 3: ANSWER multiplication and division.
Order of operations stage 4 - ANSWER addition and subtraction come last.
Dividing a fraction is equivalent to multiplying it by the inverse (reciprocal) of
that integer.
To convert a fraction into a decimal, divide the numerator by the denominator.
To convert a decimal into a percentage - ANSWER Move the decimal point two
spaces to the right and add a percent sign, so 0.6 becomes 60%.
To convert a percentage to a decimal, drop the percent sign and move the
decimal point two positions to the left, adding zeros as necessary.
dividing the number of miles by the amount of petrol - ANSWER How do you
calculate your gas mileage?
If Margaret invested in her tattoo parlor at a 2:1 ratio to her partner Julie,
Margaret would have put in $2 for every $1 Julie put in.
1/250=m/1,250 (1,250×)1/250=m/1,250(×1,250)
1,250/250=m m=5 - ANSWER If a road map has a scale of 1 inch equals 250
miles, how many inches would indicate 1,250 miles?
rate is a fixed amount, such as a 5% interest rate.
