Gr. 6, 7, 8
ISTEP + Mathematics Reference Sheet
Figure
Formulas for Area (A) and Circumference (C)
Triangle
A=1
bh
2
Area = 2 base height
Rectangle
A = lw
Area = length width
Trapezoid
A=1
h (b1 b2)
2
height sum of bases
Area = 1
2
Parallelogram
A = bh
Area = base height
Square
A = s2
Area = side side
2
Circle
Figure
1
Area = square of radius
A = r
Circumference = 2 radius
C = 2r
3.14 or 22
7
Formulas for Volume (V) and Surface Area (SA)
V = lwh
Rectangular Prism
Volume = length width height
SA = 2lw 2hw 2lh Surface Area = 2(length width) 2(height width) 2(length height)
V = r2h
Cylinder
SA = 2r2 2rh
Volume = square of radius height
Surface Area = 2 square of
radius 2 radius height
Conversions
1
1
1
1
foot = 12 inches
yard = 3 feet
mile = 5,280 feet
mile = 1,760 yards
1 pound = 16 ounces
1 ton = 2,000 pounds
S14
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Do not reproduce or discuss contents.
1 minute = 60 seconds
1 hour = 60 minutes
1 day = 24 hours
1 meter = 1000 millimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1
1
1
1
1 gram = 1000 milligrams
1 kilogram = 1000 grams
cup = 8 fluid ounces
pint = 2 cups
quart = 2 pints
gallon = 4 quarts
1 liter = 1000 cubic centimeters
1 liter = 1000 milliliters
Page 109
Gr. 7, 8 only
Figure
Formulas for Volume (V) and Surface Area (SA)
General
Prisms
V = Bh
Sphere
V = 4 r3
Volume = area of base height
Surface Area = sum of the areas
of the faces
4
Volume = 3 cube of radius
Surface Area = 4 square
of radius
3
SA = 4r2
Right Circular
Cone
V = 1 r h
Volume = 1 square of
3
radius height
Regular
Pyramid
V = 1 Bh
Volume = 1 area of base 3
height
2
3
3
3.14
or
22
7
Simple Interest Formula
Slope-Intercept Form
I = prt
y = mx b
where m = slope and b = y-intercept
where I = interest, p = principal,
r = rate, and t = time in years
Pythagorean Theorem
Temperature Formulas
c
a
2
2
a b =c
2
b
°C = 5 (F 32)
9
°Celsius = 5
(°Fahrenheit 32)
9
°F = 9 C 32
5
Distance Formula
°Fahrenheit = 9
°Celsius 32
5
d = rt
where d = distance, r = rate, and t = time
Page 110
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