GMAT Flashcards
What is the acronym for order of operations?
PEMDAS
What does the acronym PEMDAS stand for?
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
Odd + Odd = ?
Even
Even + Even = ?
Even
Even + Odd = ?
Odd
Odd x Odd = ?
Odd
Even x Even = ?
Even
Even x Odd = ?
Even
Even + Even = ? Odd + Odd = ? Odd + Even = ? Even x Even = ? Odd x Odd = ? Odd x Even = ?
Even Even Odd Even Odd Even
An integer is divisible by 3 if…
Its digits add up to a multiple of 3.
An integer is divisible by 4 if…
Its last two digits are a multiple of 4.
An integer is divisible by 6 if…
It is divisible by both 2 and 3.
An integer is divisible by 9 if…
Is digits add up to a multiple of 9.
To find the greatest common factor, break down both integers into their ________ and ________ all the _______ they have in common.
Prime factorizations
Multiply
Prime factors
The _______ of a pair of integers is the largest factor they share.
Greatest common factor
Name the first 10 prime numbers.
2 3 5 7 11 13 17 19 23 29
The _______ of two or more integers is the smallest number that is a multiple of each of the integers.
Least common multiple
The 3 steps in determining the least common multiple of two integers:
- Determine the ______ of each integer.
- Write out each ______ the maximum number of times that it appears in any one of the ______ .
- ______ those _______ together.
Prime factorization Prime factor Prime factorizations Multiply Prime factors
2^2 x 2^15 = ?
2^17
4^8 / 4^3 = ?
4^5
(3^3)^4 = ?
3^12
5(sqrt(3)) - 3(sqrt(3)) = ?
2(sqrt(3))
6(sqrt(3)) x 2(sqrt(5)) = ?
12(sqrt(15))
sqrt(27) = ?
3(sqrt(3))
1/12 = ? %
8 1/3 %
1/8 = ? %
12 1/2 %
1/6 = ? %
16 2/3 %
3/8 = ? %
37 1/2 %
5/8 = ? %
62 1/2 %
5/6 = ? %
83 1/3 %
7/8 = ? %
87 1/2 %
11/12 = ? %
91 2/3 %
If you multiply or divide an inequality by a negative number…
Reverse the direction of the inequality.
Factor the following expression:
25x^2 - 9
(5x + 3) (5x - 3)
Factor the following polynomial:
36x^2 + 24x + 4
(6x + 2) (6x + 2) = (6x + 2)^2
Factor the following polynomial:
9x^2 - 18x + 9
(3x - 3) (3x - 3) = (3x - 3)^2
State the formula for speed.
Speed = Distance / Time S = D / T
State the formula for work.
T = (ab) / (a + b)
State the combination formula.
n! / (k! (n - k)!)
n = total number of items k = number of items in each subgroup
The n in the combination formula stands for…
The total number of items.
The k in the combination formula stands for…
The number of items in each subgroup.
If two lines are both perpendicular to a third line, the first two lines are ______ .
Parallel
Two angles are complementary if their measures sum to ______ .
90°
Two angles are supplementary if their measures sum to ______ .
180°
A line segment connecting any two nonadjacent vertices of a polygon.
Diagonal of a polygon
A polygon with sides of equal length and interior angles of equal measure.
Regular polygon
Figure out the sum of the interior angles of a polygon by dividing the polygon into ______ .
Triangles
A triangle with two equal sides, which are opposite two equal angles.
Isosceles triangle
The sum of the interior angles of any triangle is _____ .
180°
The three exterior angles of any triangle add up to ____ .
360°
The equation for the area of a triangle is…
A = 1/2 (base) (height)
Name 2 Pythagorean triples.
3: 4:5
5: 12:13
What is the ratio between the lengths of the sides of an isosceles right triangle (45°/45°/90°)?
x : x : x(sqrt(2))
What is the ratio between the lengths of the sides of a 30°/60°/90° right triangle?
x : x(sqrt(3)) : 2x
A line segment that joins two points on a circle.
Chord
The equation for the circumference of a circle is…
C = 2πr
The equation for the length of an arc of a circle with a central angle of n° is…
Arc length = (n/360) (circumference)
The equation for the area of a circle is…
A = πr^2
The equation for the area of a sector of a circle with a central angle of n° is…
Sector area = (n/360) (area of circle)
For data sufficiency questions about circles, how many measurements do you need to determine any other measurement?
One
A polygon is inscribed in a circle if…
All the vertices of the polygon lie on the circle.
A polygon is circumscribed about a circle if…
All the sides of the polygon are tangent to the circle.
State the formula for average speed.
Average Speed = Total Distance / Total Time
sqrt(3) x sqrt(10) = ?
sqrt(30)
sqrt(2) / sqrt(5) = ?
sqrt(2/5)
2^(-5) = ?
1/(2^5)
True or False:
sqrt(8) + sqrt(7) = sqrt(15)
False
The ____ ____ tense describes an event that took place at a specific time in the past, and is now over and done with.
Simple Past
The ____ ____ tense describes actions that started in the past and continue up to and into the present time.
Hawaii has been a state since 1959.
Present Perfect
The ____ ____ tense describes actions that happened a number of times in the past and may happen again in the future.
Italy has had many changes in government since World War II.
Present Perfect
The ____ ____ tense describes something that happened at an unspecified time in the past.
She has written a critical essay about Leni Riefenstahl.
Present Perfect
The ____ ____ tense describes past actions that were completed before other past actions. The more recent past even is expressed in the ____ ____ , and the earlier past even is expressed in the ____ ____ .
The Civil War had ended when Lincoln was shot.
Past Perfect
Simple Past
Past Perfect