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100 Cards in this Set
- Front
- Back
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What does the rate pie look like?
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Distance
__________ Rate | Time |
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What is the formula for rate?
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Rate = Distance/ Time
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What does the work pie look like?
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Work
----------- Rate | Time |
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What is the basic probability formula?
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Number of outcomes you want / Total number of possible outcomes
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What is the formula to calculate the probability that A and B will both happen?
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A x B
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What is the formula to calculate the probability that A or B will happen?
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A + B
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What is the formula to find the probability that something will NOT happen?
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Won't = 1 - Will
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What is the formula to find the odds that at least one thing will happen?
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Will = 1 - Won't
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Permutation problems usually ask for _____________.
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Arrangements
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Combination problems usually ask for ___________.
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Groups
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Pie =
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about 3
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Square root of 1 =
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1
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Square root of 2 =
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1.4
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Square root of 3 =
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1.7
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Square root of 4 =
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2
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What is the sum of the 3 angles in a triangle?
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180 degrees
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What is an equilateral triangle?
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3 sides that are equal in length. all three angles in an equilateral triangle are also equal
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What is an isosceles triangle?
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Has two sides that are equal in length. The angles opposite the two equal sides are also equal.
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How do you find the area of a triangle?
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Height * Base
____________ 2 |
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What is the formula for the Pythagorean theorem?
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a^2 + b^2 = c^2
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What are the common Pythagorean triples that show up on the GMAT besides 3 :4 :5?
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5 : 12 : 13
7 : 24 : 25 |
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What is a trick to labeling 30-60-90 triangles?
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X : X(sq rt 3): 2x
(shortest side is x, hypotenuse is 2x, remaining side is x(sq rt 3)) |
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What is the short cut for labeling 30-60-90 triangles?
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The largest side goes opposite the largest angle and the smallest side goes opposite the smallest angle.
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The circumference ( length of the entire outer edge of the circle) =
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2(pie)(Radius) or (pie)(diameter)
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the area of a circle =
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pie(radius)^2
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A triangle is inscribed inside a semi circle when _________
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one of its sides is the diameter of the circle. This is always a right triangle.
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The area of a parallelogram equals:
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base x height
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the formula for volume of a rectangular solid :
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length x width x depth
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the volume of a cube is equal to the area of _________
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the square times the depth of the cube
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the volume of a cylinder is equal to the:
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area of the circular base times the depth
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what is the formula for surface area of a solid?
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the sum of the areas of all the 2D outer surfaces of the object.
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what is the formula to find slope?
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y2-y1/x2-x1
(difference in pairs of coordinates) |
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What is the formula for % change?
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% Change = Difference/Original X 100
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An integer is divisible by 5 IF,
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its final digit is either 0 or 5
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What is an integer?
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can be negative or positive. do not include fractions
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What is a remainder?
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the integer that is left over at the end of division. MUST be an integer
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What are distinct numbers?
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Number that cannot be equal
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What is a prime number?
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A positive integer that is divisible only by two numbers: itself and 1. the number 2 is the smallest and only even prime number. Neither 0 or 1 is a prime number.
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An integer is divisible by 2 IF,
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its units digit is divisible by 2 (even)
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An integer is divisible by 3 IF:
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The sum of its digits is divisible by 3.
216 --> 2+1+6 = 9/3. |
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An integer is divisible by 4 IF,
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the number formed by its last two digits is divisible by 4.
3,028 is divisible by 4 because 28 is divisible by 4 |
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An integer is divisible by 5 IF,
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its final digit is either 0 or 5
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An integer is divisible by 6 IF,
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it is divisible by both 2 and 3, the factors of 6.
318 is divisible by 6 because it is even, and 3+1+8 is divisible by 3. |
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0/1 =
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0
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To add fractions that have the same denominator,
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add up the numerators and put the sum over the common denominator.
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To subtract fractions with a common denominator,
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Subtract the numerators and put the answer over the common denominator.
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To multiply two fractions,
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Multiply the numerators and put the product over the product of the denominators.
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To divide fractions,
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Just invert the second fraction and multiply across.
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what is 0.2 as a fraction?
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1/5
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What is 0.25 as a fraction?
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1/4
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What is 0.33 as a fraction?
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1/3
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What is 0.4 as a fraction?
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2/5
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What is 0.6 as a fraction?
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3/5
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What is 0.66 as a fraction?
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2/3
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What is 0.8 as a fraction?
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4/5
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A fraction compares:
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A part to whole relationship
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A ratio compares,
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a part to part relationship
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How do you set up "5 is what percent of 20?"
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5/20 = x/100
(Part/whole) |
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To get 10% of any number,
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Simply move the decimal point over one place to the left
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TO get 1% of any number,
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Just move the decimal point of that number over 2 places to the left
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What is 20% of 60?
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10% of 60 is 6, so twice that is 12.
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What is 3% of 200?
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1% of 200 is 2, so 2*3 = 6
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What is 23% of 400?
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10% of 400 is 40 *2 = 80.
1% of 400 is 4.*3=12 80+12=92. |
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What is the formula for finding % increase?
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amount of increase x
---------------------------- = ------- original amount 100 |
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To solve a % decrease problem, what is the formula?
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amount of decrease x
------------------------------ = ----- original amount 100 |
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To find compound interest,
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1. divide the interest into as many parts as are being compounded.
ex: compounding semiannually, divide the interest into two parts. quarterly, divide into 4 parts. |
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To find the average of a set of numbers,
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total sum of the items
------------------------------- total number of the items |
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The average of 7 numbers is 5. if two of the numbers are 11 and 14, what is the average of the remaining numbers?
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2
(pg 115) |
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How do you find the median?
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reorder the numbers from least to greatest and pick the middle number. if there are two, just take the average of them
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How do you find the mode?
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pick the number that occurs most frequently. There can be more than 1 mode.
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When multiplying exponents with the same base number,
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simply add the exponents.
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(exponents) When dividing powers that have the same base,
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Subtract the bottom exponents from the top exponents.
3^6/3^2 = 3^4 |
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How do you raise a power to a power?
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multiply the exponents.
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What is an adjective?
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A word that modifies a noun
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What is an adverb?
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A word that modifies a verb, adjective, or another verb.
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What is a preposition?
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A word that notes that relation of the noun to an action or a thing.
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What is a phrase?
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A group of words acting as a single part of speech. A phrase is missing either a subject or a verb or both.
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What is a prepositional phrase?
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A group of words beginning with a preposition. Like any phrase, a prepositional phrase does not contain both a subject and a verb.
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What is a pronoun?
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A word that takes the place of anoun.
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What is a clause?
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A group of words that contains a subject and a verb.
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Every time you spot a pronoun what two questions should you ask yourself?
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1. Is it completely clear who or what the pronoun is referring to?
2. Does the pronoun agree in number with the noun it is referring to? |
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What is a participial phrase?
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A phrase that starts with a verb ending in -ing.
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How do you spot a misplaced modifier?
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Whenever a sentence begins with a modifying phrase that's followed by a comma, the noun or pronoun right after the comma should be what the phrase is referring to.
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How do you spot a parallel construction?
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Whenever you read a sentence correction problem, look to see if you can find a series of actions, a list of several things, or a sentence that is divided into two parts.
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How do you spot a parallel comparison?
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Look for sentences that make comparisons. These sentences often include words such as THAN, AS, SIMILAR TO, and LIKE.
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What 8 things should you check for when trying to figure out what is wrong with a sentence?
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1. Pronouns
2. Misplaced modifiers 3. Parallel Construction 4. Parallel Comparison 5. Tense 6. Subject-verb agreement 7. Idiom 8. Quantity words |
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How do you find quantity word mistakes?
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Look for quantity words and know whether the noun they modify is countable or not
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What are the 3 main parts to an argument?
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1. Conclusion: This is what the author is trying to persuade us to accept.
2. Premises: These are the pieces of evidence the author gives to support the conclusion. 3. Assumptions: These are unstated ideas or evidence without which the entire conclusion might be invalid. |
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What is another term for "premises"?
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Evidence
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Describe what "assumptions" are
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Never stated by the author. The parts of the argument that have been left out.
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What question type does this belong to?
Which of the following, if true, gives the most support to the recommendations above? |
Strengthen the argument question - To find the correct answer, look for the gap and try to close it
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What question type does this belong to?
If the statements above are true, which of the following can properly be inferred on the basis of them? |
Inference question - To find the correct answer, use scope and POE to rule out any answer choice that goes too far
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What question type does this belong to?
The answer to which of the following questions would be most useful in evaluating the significance of the counter-claimant's charge? |
Evaluate the argument question - To find the answer look for the unspoken assumptions in the passage
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What question type does this belong to?
The argument in the passage depends on which of the following assumptions? |
Assumption question - To find the correct answer, look for the gap in the argument
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What question type does this belong to?
Which of the following statements, if true, provides the best evidence that the CEO's reasoning is flawed? |
Weaken-the-argument question - To find the correct answer, look for the gap and try to widen it.
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What question type does this belong to?
Which of the following, if true, best reconciles the seeming discrepancy described above? |
Resolve/explain question - To find the answer, look for the answer choice that allows both of the facts from the passage to be true at the same time.
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What question type does this belong to?
The bolded phrase plays which of the following roles in the argument? |
Identify the reasoning question - To find the correct answer, identify the conclusion and the premises, and see how they relate to each other
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What question type does this belong to?
Which of the following most closely parallels the reasoning used in the argument above? |
Parallel the reasoning question - to find the answer, simplify the argument (if A then B), and look for an answer choice that matches.
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In the "Analysis of an Issue" essay, what do you need to write?
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1. Adopt a position on the issue.
2. Defend your position with reasoning and examples |
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In the "Analysis of an Argument" essay, what do you need to write?
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You will critique an argument, pointing out problems with the evidence and line of reasoning used to draw a conclusion.
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