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ASVAB math formulas
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Gravity
Terms in this set (70)
1 pound
16 ounces
1 gallon
8 pints
4 quarts
1 gallon
1 yard
3 feet
1 ton
2000 pounds
Perimeter of Rectangle
2 (L) + 2 (W)
Area of a Circle
Pi x Radius2
Circumference of a Circle
2 x Pi x Radius
Area of Rectangle
L x W
Percent Decrease
x/100 = Difference/ Original Price; Original Price is larger number
Percent Increase
x/100 = Difference/Original Price ; Original Price is smaller number
Find Distance
D = R x T
Interest
P x R x T ; Principal interest x Interest x Time
Zero Power
always equals 1
Trapezoid
Have exactly two sides that are parallel. Two parallel sides of trapezoid is bases.
A=1/2 (Sum of the lengths of the bases) (height)
Parallelograms
Have opposite sides that are parallel, and their opposite sides and angles are equal. The angles don't have to be right angles.
A=(base)(height)
Rhombuses
Have four sides of equal length, but the angles don't have to be right angles.
Perimeter= 4(s)
Supplementary Angle
Two angles that equal 180 when added together
Obtuse Angle
More than 90 degrees but less than 180 degrees
Acute Angle
Acute angle is more than less than 90 degrees
Straight line
equal 180 degrees
Right Angle
Is exactly 90 degrees
Similar triangles
have the same shape, but they may be different sizes.
Isosceles triangle
A triangle that has two equal sides. Not only are two sides equal, but the angles opposite the equal sides, called base angles are also equal.
Radius
Straight line distance form its Center to any point on the circle.
Chord
Line segment that connects any two points on a circle
Diameter
A chord that passes through the Center of circle
Circumference
is the distance around the circle
Volume of a rectangular solid or box
L x W x H
Surface area of a rectangular solid or box
2(lw) + 2(wh) + 2(lh)
Volume of Cylinder
Find the area of its base and the height
Line segment
is a piece of a line, and it has an exact measurable length.
Vertical angle
angles across the vertex from each other and are equal to each other
Midpoint
The point exactly in the middle of a line segment, halfway between the endpoint
Bisect
To cut in half so the midpoint of a line segment bisects that line segment
Parallel lines
are lines that have the same slope as one another
Transversal
A line that intersects two coplanar lines at two distinct points
Corresponding angles
Angles with the same relationship to the transversal
Corresponding angles are equal
for example a=e
Interior angle
Three angles that add up to 180 degrees
Exterior angle
a triangle that is equal to the sum of the two interior angles that are not adjacent to that exterior angle.
Alternate interior angle are equal
d=f
Same side interior angles are supplemtory
c+f=180
All four acute angles are equal as are all for obtuse angles
For examples c=e and b=h
Slope intercept form a linear equation
y=mx + b
Slope
if a line goes down to the right or up to the right "rise over run" or change in y over change in x"
Slope= change in y / change in x
Probability
expressed as a ratio or fraction and it is the likelihood of something to happen give a particular set of circumstances.The formula is
Probability = Numbers of outcomes of interests / Numbers of possible outcomes
For example: if you wanted to know the probability of randomly choosing a spade from a deck of cards that had 14 spades, 14 hearts, 14 clubs and 14 diamonds, it would be
or which is 25%
Rate formula
Rate = Distance / Time
...
Average = sum of the terms / Numbers of Terms
Mean
the sames as average is calculated the same way
Median
is the middle value of a group of numbers
Mode
is the number that appears most frequently
Range
how wide the group of number is and can be calculated by subtracting the smallest number from the largest.
Prime number
a whole number that can only be divided by 1 and itself without ending up with a mixed number
Average
Formula:
A =sum of terms / number of terms
For example: the average of 4, 6 and 8 is because the sum of 4, 6 and 8 is 18 and there are 3 numbers. The answer is 6
volume of a sphere
V = 4/3 πr3
Surface area of sphere
Simplify a radical
Look for factors of the number under the radical sign that are perfect squares; then find the square root of those perfect squares. Pull those roots outside of the radical sign.
pos + pos
pos
pos + neg
outcomes will take the sign of whichever addened has the larger absolute value
pos * or ÷ pos
pos
pos * or ÷ neg
neg
neg * or ÷ neg
pos
odd ± odd
even
even ± even
even
even ± odd
odd
odd * odd
odd
even * even
even
even * odd
even
...
...
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