108 terms

Gmat

STUDY
PLAY
2
4
2⁴
16
8
2⁵
32
2⁶
64
2⁷
128
2⁸
256
2⁹
512
3
9
27
3⁴
81
4
16
64
5
25
125
5⁴
625
10¹
10
10²
100
10³
1000
10⁴
1000 (one fewer zeros than exponent)
multiply by 5
half number and move decimal over so that the number is bigger
divide by 5
double the number and move decimal one place so the number is smaller
integer
a positive or negative whole number
|absolute value|
the number's distance from zero (the number without a negative sign)
Statement 1 alone is enough
A
Statement 2 alone is enough
B
Both statements 1and 2 have to be together to give you the answer
C
Each statement alone is enough
D
there is not enough information in the statements you give
E
multipying decimals
multiply, count up the total number of digits to the right of the decimal. Move the decimal place to the left the same number as the total (making the number smaller)
numerator
top number in a fraction
denominator
bottom number in a fraction
reciprocal
the top and bottom of a fraction switched
1/4...4/1
1/2
.5
1/3
.333333
1/4
.25
1/5
.2
1/6
.16666666
1/7
0.14
1/8
0.125
1/9
0.111
a/b x b/a
=1
compound interest formula
final = i x (1+r)ⁿ Initial investment times one pule interest rate(expressed as a decimal.... n=the number of periods (as defined by the rate)
ratios a/b=c/d
ad=bc (cross multiply)
divisible by 4?
the number created by the last two digits is divisible by 4
divisible by 6?
the number is divisible by 2 and 3
divisible by 9?
sum of the digits is divisible by 9
odd+odd
+even
odd+even
=odd
even+even
=even
odd x odd
=odd
odd x even
=even
even x even
=even
(x⁸) (x⁷)
=x⁸+⁷
x⁹÷x⁷
x⁹−⁷
(x²)⁹
x²multiplied by⁹ the two exponents only are multiplied here 2 x 9
x⁻ⁿ
1/xⁿ
(a/b)⁻ⁿ
(b/a)ⁿ
multiplying two binomials FOIL
Front,Outside, Inside and Last
(a+b)²=
=a²+2ab+b²
(a-b)²=
=a²-2ab=b²
(a+b)(a-b)=
=a²-b²
Golden rule of equation solving
What you do to one side of the, you must do to the other side.
distance=
=speed x time
speed =
=distance/time
time=
=distance/speed
finish this sentence: Solve inequalities as you would solve an equation; however, if you ever multiply/divide both sides by a negative number________
flip the inequality <>
when you have one line intersect another line, the opposite angles are
equal to each other
when you have a line going through two parallel lines - the angles at both intersections
are equal to each other
finish this sentence the sum of the lengths of any 2 sides of a triangle but be greater than
the third side
triangles equal
180°
area of triangle =
½bh
isosceles triangle
2 equal angles and 2 equal sides
equilateral triangles
three equal lengths and three equal angles -60°
pythagorean triplet 3,4...
5
pythagorean triplet 5,12...
13
pythagorean triplet 7, 24...
25
π, 3.14=
22/7
circle circumference (perimeter)=
=2πr or πd
circle area=
=πr²
two angles on the inside of the circle on the same chord (line that crosses circle) are
equal
two inscribed angles holding chords/arcs of equal length are
equal
an inscribed angle holding the diameter is a
right triangle
a central angle (one that connects to the centre of the circle) is ________ ____ _________ as an inscribed angle holding the same chord/arc
twice as large
volume of cylinder
=πr²
total surface area of cylinder=
=2πrh=2πr²
mean =
=average
median
the middle numb when data values are arranged in ascending order- when there is an even number of data values, the medians the average of the 2 middle data values
mode
most frequent (haut mode-popular)
range
the difference between the highest and the lowest data values
y-x+1
the number of integers from x to y inclusive is equal to
probability of 0
the event will not occur
probability of 1
the event must occur
probability that an event occurs=
=1-P(event A does not occur)
p (event A)=
=number of favourable outcomes/total number of possible outcomes
probability of 2 independent, unrelated events happening
the probability that both events = (probability of event A) multiplied by the (probability of event B)
slope (m)=
=rise (y₂-y₁)/run (x₂-x₁)
positive slopes rise
as you move left to right
negative slopes descend
as you move left to right
a slope of zero indicates
a horizontal line
the larger the lope
the steeper the line
horizontal lines
y (the vertical axis) =k (the slope)
vertical lines
x (the horizontal axis) = k the slope
the length of a slope=
it is a²+b²=c² √(x₂−x₁)² + (y₂-y₁)²
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