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45 Cards in this Set

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To multiply by a power of 10

move every digit to the left
To divide by a power of 10
move every digit to the right

To work out how much to move the digits

count the number of zeroes in the power of 10
To multiply decimals
calculate the answer without any decimal points, then put the decimal point back in. The number of decimal points in the question is the same as the number of decimal points in the answer

Area

the amount of space inside a two dimensional shape

Units of measurement for area

are distances squared e.g. kilometres squared, square inches, cm2
Area of a rectangle
length x width
Area of a triangle
1/2 x base x height
The base and height in a triangle
are always perpendicular (at right angles)
Multiple
is the result of multiplying any number by an integer
Common multiple
a multiple of all the numbers listed
Lowest common multiple (LCM)
smallest number that is a multiple of all the numbers listed
To square a number
multiply it by itself.
To cube a number
multiply it by itself three times.

The power of a number tells you

how many times to multiply the number by itself
Two other words for power are
index and exponent
Inverse of squaring
a square root

Inverse of cubing

a cube root
Quotient
the result of a division calculation

Dividend

the number that is being divided
Divisor
the number that you divide by
To write a remainder as a fraction
the remainder is the numerator; the divisor is the denominator
To write a remainder as a decimal
keep adding zeroes to the end of the number until there is no remainder or you spot a recurring pattern

To divide a decimal by in integer (decimal dividend)

there is no need to change anything

To divide anything by a decimal (decimal divisor)

scale up both the dividend and divisor by the same amount to make the divisor a simple integer

The divisibility test for 5

if the number ends in 5 or 0
The divisibility test for 10
if the number ends in 0

The divisibility test for 2

if the number ends in an even number

The divisibility test for 4

if the final two digits are a multiple of 4
The divisibility test for 3
if the sum of the digits is a multiple of 3

The divisibility test for 9

if the sum of the digits is a multiple of 9

Divisibility tests for other numbers

can be created by performing both divisibility tests for a factor pair of the number
Factor
a number that divides exactly, without leaving a remainder
Factor pair
a pair of factors that if multiplied together, give the number
Common factor
a factor of all the numbers listed
Highest common factor
the biggest number that divides exactly into all the numbers

To find the HCF from a Venn diagram

multiply the numbers in the overlapping section
To find the LCM from a Venn diagram
multiply all the numbers in the Venn diagram
The order of operations tells us
we always do groupings first, then exponents and roots, then multiplication and division, and finally addition and subtraction (GEMS).

Groupings can be shown

by using brackets, as numerators or denominators in fractions, or in roots
The mean average
mean= sum/count

To find the midpoint of 2 numbers

add them together and divide by 2
Inverse of multiplication
division

Inverse of division

multiplication

To rearrange an equation

do the same thing to both sides