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MATH REFERENCE SHEET – GRADE 7

 

R= radius                       b= base                           w = width

d = diameter                    h = height                        l = length

 

                             Use 3.14 for π

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SHAPE               AREA                           CIRCUMFERENCE

 

Circle                   A =  πr²                         C = πd = 2πr

 

Triangle               A = 1/2bh                     

 

Rectangle            A = lw

 

Trapezoid            A = 1/2h (b1 + b2)

 

Parallelogram     A = bh

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3 DIMENSIONAL SHAPE                   Volume

 

Rectangular Prism                                        V = lwh

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FORMULAS

 

Distance, rate and time

D = distance                             r = rate                  t = time

 

D = rt

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                   Simple Interest

P = principal                   r = rate                  t = time

 

I = prt

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CONVERSIONS:

 

1 yard (yd) = 3 feet (ft) = 36 inch (in)

 

1 mile (mi) = 1,760 yards (yd) = 5,280 feet (ft)

 

1 cup = 8 fluid ounces (fl oz)

 

1 pint (pt) = 2 cups

 

1 quart (qt) = 2 pints (pt)

 

1 gallon (gal) = 4 quarts (qts)

 

1 pound (lb) = 16 ounces (oz)

 

1 ton (T) = 2000 pounds (lbs)

 

1 meter (m) = 100 centimeter (cm)

 

1 meter (m) = 1000 millimeter (mm)

 

1 kilometer (km) = 1000 meter (m)

  

1 liter (l) = 1000 milliliter (ml)

 

1 liter (l) = 1000 cubic centimeter (cu cm)

  

1 gram (g) = 1000 milligram (mg)

 

1 kilogram (kg) = 1000 gram (g)