English | Español

Try our Free Online Math Solver!

Online Math Solver

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

Please use this form if you would like
to have this math solver on your website,
free of charge.


Important Math Information

GRADE 6

Memorized items
multiplication facts (1 - 12)
Flashmania (see bottom of page)
whole place values to millions
decimal place values to thousandths

Measurement Equivalences
12 inches = 1 foot
3 feet = 1 yard
36 inches = 1 yard
5,280 feet = 1 mile
16 ounce = 1 pound
2,000 pounds = 1 ton
365 days = 1 year
52 weeks = 1 year
60 seconds = 1 minute
60 minutes = 1 hour
Abbreviations
in. for inch(es)
ft. for foot or feet
yd. for yard(s)
mi. for mile(s)
oz. for ounce(s)
lb. for pound(s)
yr. for year(s)
sec. for second(s)
min. for minute(s)
hr. for hour(s)

 

Vocabulary
sum (+)
difference (-)
product (x)
quotient (÷)
even
odd
is greater than (>)
is less than (<)
example
The sum of 3 and 8 is 11.
The difference of 11 and 8 is 3.
The product of 3 and 8 is 24.
The quotient of 24 divided by 8 is 3.
18 is divisible by 2 so it is called an even number.
19 is not divisible by 2 so it is called an odd number.
19 is greater than 18 (19 >18).
19 is less than 20 (19<20).

Skills
addition, subtraction, multiplication, and division of whole numbers

1, 2 3 4, 5 6 7 . 0 8 9
millions hundred-thousands ten-thousands thousands hundreds tens ones decimal point tenths hundredths thousandths

THE SUPER 40 FLASHAMANIA

GRADE 7 6th grade list plus:

Memorized items
prime numbers to 20 (2, 3, 5, 7, 11, 13, 17, 19)
powers of ten (101=10, 102 =100, 103=1000, 104= 10000, etc.)

Vocabulary example
factor
The factors of 8 are 1, 2, 4, and 8.
multiple 8 is a multiple of 2.
numerator In the fraction 4/5, 4 is the numerator.
denominator In the fraction 4/5, 5 is the denominator.
prime number 3 is a prime number because it has exactly two factors, 1 and 3.
composite number 8 is a composite number because it has more than 2 factors.
proper fraction 4/5 is a proper fraction because it is less than 1.
improper fraction 5/4 is an improper fraction because it is more than 1.
mixed number 1 1/4 is a mixed number.
divisible 24 is divisible by 8 because it equals 3 with no remainder.
compatible numbers
 
240 and 80 are compatible numbers because they work well
together. (240 ÷ 80 =3
greatest common factor The GCF of 8 and 20 is 4 because it is the largest number which is a
(GCF) factor of both.
least common multiple The LCM of 8 and 20 is 40 because it is the smallest number which is
(LCM) a multiple of both.
common denominator
 
5/6 and 7/8 have a common denominator of 24.
5/6=20/24 and 7/8 = 21/24
reciprocal The reciprocal of 5 is 1/5 because 5 x 1/5 =1.
exponent In 53, 3 is the exponent.
base In 53, 5 is the base.
power 53 can be read “5 to the power of 3”; 3 is the power.
squared number 52 = 5 x 5 =25, thus 25 is a squared number.
cubed number 53= 5 x 5 x 5 =125, thus 125 is a cubed number.
mean* The mean is the average of a set of data. (*5.125)
median*
 
The median is the middle data value when the values
are in sequential order.(*5.5)
mode*
 
The mode is the data value which occurs with the
highest frequency.(*6)
range*
 
The range is the difference between the highest and the lowest
values of a set of data.(*8)

*Using the set of data: 1,3,4,5,6,6,7,9

meter
liter
gram
perimeter
area
The basic unit of length in the metric system is the meter.
The basic unit of capacity in the metric system is the liter.
The basic unit of mass in the metric system is the gram.
The perimeter is the distance around the outside of a polygon.
Area is the measure, in square units, of an interior region.

Skills
addition, subtraction, multiplication, and division of decimals

GRADE 8 6th and 7th grades plus:

Memorized items
fraction, decimal, percent equivalents (see bottom of next page)

order of operations
 
(parentheses, exponents, multiplication and division in order as they
appear, addition and subtraction in order as they appear)

 

Vocabulary Example
commutative property 18 + 72 = 72 + 18 and 2 x 12 x 5 = 2 x 5 x 12
associative property (25 + 40) + 60 = 25 + (40 + 60) and (5 x 20) x 14 = 5 x (20 x 14)
distributive property 6 x 54 = 6 x (50 + 4)= (6 x 50) + (6 x 4)
percent (%) A percent is a ratio which compares a value to 100.
whole number 0, 1, 2, 3, ... are the set of whole numbers.
integer ... -3, -2, -1, 0, 1, 2, 3, ... are the integers.
positive number Numbers greater than zero are positive numbers.
negative numbers Numbers less than zero are negative numbers.
opposite
 
Numbers which are the same distance from zero on a number line
are called opposites.(ex.5 and -5)
expression 14+3, a+21, 5n, x+ y are examples of expressions.
equation 14 + 3 =17,5n = 40 are examples of equations.
variable
 
In the expression 5n, n is the variable. It stands in place of a
number or numbers.

 

geometry terms  
acute angle an angle between 0 and 90 degrees.
obtuse angle an angle between 90 and 180 degrees.
right angle an angle which measures 90 degrees.
acute triangle a triangle with 3 acute angles.
obtuse triangle a triangle with 1 obtuse angle.
 
right triangle a triangle with 1 right angle.
scalene triangle a triangle with no congruent sides.
isosceles triangle a triangle with 2 congruent sides.
 
equilateral triangle a triangle with 3 congruent sides.
polygon
 
a plane figure made of 3 or more line segments connected at their
endpoints.
triangle a 3 sided polygon
quadrilateral a 4 sided polygon
pentagon a 5 sided polygon
hexagon a 6 sided polygon
octagon an 8 sided polygon
nonagon a 9 sided polygon
decagon a 10 sided polygon
surface area the total area of the faces and curved surfaces of a solid figure
volume the number of cubic units it takes to fill a solid figure
   
trapezoid a quadrilateral with one pair of parallel sides
   
parallelogram a quadrilateral with opposite sides parallel
   
rhombus
 
a parallelogram with 4 congruent sides
   
rectangle a parallelogram with 4 right angles
   
square a parallelogram with 4 congruent sides and 4 right angles
   
circle a set of points equidistant from a given point (center)
   
radius
 
the distance from the center point to a point on the circle. AC is a
radius.
   
diameter
 
AB is a diameter. It passes through the center point.
   
circumference the distance around the outside of a circle.

Skills
addition, subtraction, multiplication, and division of fractions and mixed numbers

FRACTION DECIMAL PERCENT
Prev Next