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Summary Math GRE Review questions and answers
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Math GRE Review questions and answers
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Math GRE Review questions and answersInteger - Whole numbers and their opposits. {...-3,-2,-1,0,1,2,3...} These are
rational numbers. Negative, positive, include 0 (neither negative or positive)
Prime Numbers - Numbers that can only divide evenly by 1 or themselves
Compare 5/7 and 9/11 - Quick Tip: Cross-multiply! 5x11>9x7
Dividing Fractions - Invert the 2nd fraction and multiply
Multiplying Decimals - Multiply the #s and then move the decimal point the total
# of places in the answer
45.1 x 0.3 = - 13.53
Dividing Decimals - move decimals point in the divisor (outside #) until the # is a
whole number, move the decimals point the same # of places in the dividend
(inside #)
6.25/2.5 = - (move decimals) 62.5/25 = 2.5
,Math GRE Review questions and answers
Powers of 10 - 10
What is the Absolute Value of a number? - It is the number of units a number is
away from 0 on a number line.
even# + even# = - even#
odd# + odd# = - even#
even# + odd# = - odd#
even# x even# = - even#
odd# x odd# = - odd#
even# x odd# = - even#
Powers of 10 - 10⁶ = 1,000,000
,Math GRE Review questions and answers
.029 x 10³ - (move decimal 3 places to the right) = 29
416.03 x 10⁻⁴ - (move decimal 4 places to the left) = .041603
What are multiples? - An integer that is divisible by another integer is a multiple of
that integer (ex: 12 is a multiple of 3, since 12 is divisible by 3)
What are factors? - The factors (divisors) of a number are the positive integers
that evenly divide into that number (ex: 36 has nine factors: 1,2,3,4,6,9,12,18,36)
What is the Greatest Common Factor (GCF) of a pair of numbers? - The largest
number that will divide evenly into both (factor) 1,2,4,8 = factors of 8. 1,2,3,6 =
factors of 6. GCF = 2
What is a Prime Number? - an integer greater than 1 that has no factors other
than 1 and itself (0 and 1 are not prime #s)
What is the smallest prime #? - The number 2 is the smallest prime and the only
even prime number
, Math GRE Review questions and answers
How to find the average of consecutive #s - Take the average of the largest and
smallest # in the set. (i.e. for the set of consecutive #s 5....172 would be
(172+5)/(2)= 88.5)
How do you count consecutive integers? ex: How many integers are there from 73
through 419, inclusive? - The number of integers from A to B inclusive is B-A+1.
How do you find the average (mean) of a group of numbers? - Average = sum of
values/number of values
How to find the sum of a group of numbers - Sum of values = average value x
number of values
John travels 30 miles in 2 hrs and then 60 miles in 3 hrs. What is his average speed
in miles/hr? - Average A per B = Total A/Total B
= (30+60)miles/(2+3)hrs = 18mph
What is Standard Deviation? - measure of how spread out a group of numbers is.
The more spread out the numbers, the larger the SD.
Probability Equation - # of desired outcomes/# of total possible outcomes
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