ASVAB Math FINAL EXAM GUIDE
2025
|MOST COMMON QUESTIONS WITH CORRECTLY
VERIFIED ANSWERS|ALREADY A+
GRADED|GUARANTEED PASS
integer - any positive or negative whole number or zero, such as −6, 0, 27
factor - integers (whole numbers) that can be divided evenly into another integer, To
factor a number, you simply determine the numbers that you can divide into it.
composite number - a whole number that can be divided evenly by itself and by 1, as
well as by one or more other whole numbers
prime number - a whole number that can be divided evenly by itself and by 1 but not by
any other number
exponent - a shorthand method of indicating repeated multiplication, for example 15×15
can also be expressed as 15²
base - a number that's used as a factor at least two times-its a number raised to an
exponent. for example the base of 4³ is 4
square root - the number that, when multiplied by itself equals the original number, for
example the square root of 36 is 6, if you square 6 or multiply it by itself you produce 36
factorial - is represented by an exclamation point, you calculate a factorial by finding the
product of (multiplying) a whole number and all the whole numbers less than it down to 1, so 6
factorial is 6×5×4×3×2×1
reciprocal - the number by which another number can be multiplied to produce 1, if you
have a fraction its reciprocal is that fraction turned upside down
sum - when you add two numbers together, you arrive at a
difference - when you subtract, all that remains is a
,product - when you multiply, you come up with a
quotient - when you divide, you're left with a
order of operations step 1 - parentheses take precedence, you should do everything
contained in parentheses first
order of operations step 2 - exponents come next
order of operations step 3 - multiplication and division
order of operations step 4 - addition and subtraction are last
dividing a fraction - the same thing as multiplying it by the inverse (reciprocal) of that
number
to change a fraction into a decimal - divide the numerator by the denominator
to change a decimal into a percent - move the decimal point two spaces to the right and
add a percent sign, for example 0.6 becomes 60%
to change a percent to a decimal - drop the percent sign and move the decimal point two
places to the left, adding zeros as needed.
dividing the number of miles by the amount of gas - how do you figure out your gas
mileage
ratio - shows a relationship between two things, if Margaret invested in her tattoo parlor
at a 2:1 ratio to her partner Julie, then Margaret put in $2 for every $1 that Julie put in
1/250=m/1,250
(1,250×)1/250=m/1,250(×1,250)
1,250/250=m
m=5 - If the scale on a road map is 1inch=250 miles, how many inches would represent
1,250 miles?
rate - a fixed quantity,a 5% interest rate for example
simple interest formula - principle (the initial amount invested) × rate × time
distance formula - rate (speed) × time
rate formula - distance ÷ time
, irrational numbers - whole numbers that have square roots that are decimals that go on
forever and have no pattern that repeats
√- square root: radical sign
square root - the factor of a number that when multiplied by itself produces the number
3×3×3 - the cube root of 27
2×2×2×2 - the fourth root of 16
quadratic equation - an equation that includes the square of a variable
degrees and (not very often) minutes or even seconds, 1 degree equals 60 minutes, and 1
minute equals 60 seconds - arcs of a circle and angles are measured in
360°, any arc that isn't a complete circle measures less than 360° - a circle has ___
degrees
a quadrilateral - a shape with four sides, has angles that add up to 360°
180° - a straight line is ___°
90° - a right angle is exactly ___°
0°, 90° - an acute angle is more than ___° but less than ___°
90°, 180° - an obtuse angle is more than ___° but less than ___°
complementary angles are - two angles that equal 90° when added together
supplementary angles are - two angles that equal 180° when added together
triangle - consists of three straight side whose three angles always add up to 180°
equilateral triangle - has three equal sides, each of the angles measures 60°
right triangle - has one right angle, therefore the remaining two angles are
complementary
hypotenuse - the side opposite the right angle which is the longest side of a right triangle
pythagorean theorem - if you know the lengths of two sides of a right triangle, you can
determine the length of the thrid side using the formula a² ⁺ b² = c², where a and b represent
the legs and c is the hypotenuse
2025
|MOST COMMON QUESTIONS WITH CORRECTLY
VERIFIED ANSWERS|ALREADY A+
GRADED|GUARANTEED PASS
integer - any positive or negative whole number or zero, such as −6, 0, 27
factor - integers (whole numbers) that can be divided evenly into another integer, To
factor a number, you simply determine the numbers that you can divide into it.
composite number - a whole number that can be divided evenly by itself and by 1, as
well as by one or more other whole numbers
prime number - a whole number that can be divided evenly by itself and by 1 but not by
any other number
exponent - a shorthand method of indicating repeated multiplication, for example 15×15
can also be expressed as 15²
base - a number that's used as a factor at least two times-its a number raised to an
exponent. for example the base of 4³ is 4
square root - the number that, when multiplied by itself equals the original number, for
example the square root of 36 is 6, if you square 6 or multiply it by itself you produce 36
factorial - is represented by an exclamation point, you calculate a factorial by finding the
product of (multiplying) a whole number and all the whole numbers less than it down to 1, so 6
factorial is 6×5×4×3×2×1
reciprocal - the number by which another number can be multiplied to produce 1, if you
have a fraction its reciprocal is that fraction turned upside down
sum - when you add two numbers together, you arrive at a
difference - when you subtract, all that remains is a
,product - when you multiply, you come up with a
quotient - when you divide, you're left with a
order of operations step 1 - parentheses take precedence, you should do everything
contained in parentheses first
order of operations step 2 - exponents come next
order of operations step 3 - multiplication and division
order of operations step 4 - addition and subtraction are last
dividing a fraction - the same thing as multiplying it by the inverse (reciprocal) of that
number
to change a fraction into a decimal - divide the numerator by the denominator
to change a decimal into a percent - move the decimal point two spaces to the right and
add a percent sign, for example 0.6 becomes 60%
to change a percent to a decimal - drop the percent sign and move the decimal point two
places to the left, adding zeros as needed.
dividing the number of miles by the amount of gas - how do you figure out your gas
mileage
ratio - shows a relationship between two things, if Margaret invested in her tattoo parlor
at a 2:1 ratio to her partner Julie, then Margaret put in $2 for every $1 that Julie put in
1/250=m/1,250
(1,250×)1/250=m/1,250(×1,250)
1,250/250=m
m=5 - If the scale on a road map is 1inch=250 miles, how many inches would represent
1,250 miles?
rate - a fixed quantity,a 5% interest rate for example
simple interest formula - principle (the initial amount invested) × rate × time
distance formula - rate (speed) × time
rate formula - distance ÷ time
, irrational numbers - whole numbers that have square roots that are decimals that go on
forever and have no pattern that repeats
√- square root: radical sign
square root - the factor of a number that when multiplied by itself produces the number
3×3×3 - the cube root of 27
2×2×2×2 - the fourth root of 16
quadratic equation - an equation that includes the square of a variable
degrees and (not very often) minutes or even seconds, 1 degree equals 60 minutes, and 1
minute equals 60 seconds - arcs of a circle and angles are measured in
360°, any arc that isn't a complete circle measures less than 360° - a circle has ___
degrees
a quadrilateral - a shape with four sides, has angles that add up to 360°
180° - a straight line is ___°
90° - a right angle is exactly ___°
0°, 90° - an acute angle is more than ___° but less than ___°
90°, 180° - an obtuse angle is more than ___° but less than ___°
complementary angles are - two angles that equal 90° when added together
supplementary angles are - two angles that equal 180° when added together
triangle - consists of three straight side whose three angles always add up to 180°
equilateral triangle - has three equal sides, each of the angles measures 60°
right triangle - has one right angle, therefore the remaining two angles are
complementary
hypotenuse - the side opposite the right angle which is the longest side of a right triangle
pythagorean theorem - if you know the lengths of two sides of a right triangle, you can
determine the length of the thrid side using the formula a² ⁺ b² = c², where a and b represent
the legs and c is the hypotenuse
