GRE MATH FC EXAM WITH ACURATE
SOLUTIONS
Integers - correct answers-are the numbers 1, 2 , 3 together with their negatives -1, -2, -
3 thus, they are the set of integers (...-3,-2,-1,0,1, 2,3...)
Factor or Divisor - correct answers-When integers are multiplied, each of the multiplied
inters are called a factor or divisor of the resulting product.
ex: (3)(2)(5)=30
3, 2 & 5 are factors of the MULTIPLE 30
ex2: the positive factors of 60 are ?
1,2,3,4,5,6,10
Multiple - correct answers-We say that 30 is a multiple of each of its factors and that 30
is divisible by each of its divisors
ex: (3)(2)(5)=30
3, 2 & 5 are factors of the MULTIPLE 30
Prime Number - correct answers-is an integer greater than 1 that has only two positive
divisors 1 and itself.
First 10 Prime Numbers - correct answers-2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Is 1 a prime number? - correct answers-1 is NOT a prime number
Sum of Integers:
1. two even integers
2.two odd integers
3. an even and an odd intiger - correct answers-1. even intiger
2. even intiger
3. odd intiger
Product of Integers:
1. two even integers
2. two odd integers
3. an even and an odd itiger - correct answers-1. Even
2. Odd
3. Even
, Is 2 a prime number? - correct answers-Yes, 2 is the ONLY even prime number
Prime Divisor/Prime Factorization - correct answers-Every interger >1 that is not a prime
number can be uniquely expressed as a product of factors that are prime numbers or
PRIME DIVISORS.
Such an expression is called prime factorization.
ex: 12=(2)(2)(2)=(2^3)(3)
ex:338= (2)(13)(13)=(2)(13^2)
Fraction - correct answers-Numerator/Denominator
aka-rational number
Adding Fractions - correct answers-1. Find a common denominator
2. add the numerators together and keep the denominator
Multiplying Fractions - correct answers-Multiply the two numerators AND multiply the
two denominators
Dividing Fractions - correct answers-1. to divid one fraction by another first invert the
second fraction
2. Multiply by the reciprocal
a⁰ - correct answers-=expression undefined
-3² - correct answers--9
(-3)² - correct answers-9
a⁻² - correct answers-= 1/a^2
Square Roots - correct answers-all positive numbers have two square roots, one
positive and one negative.
(√a)² - correct answers-=a
√a² - correct answers-=a
√a ×√b - correct answers-=√ab
√a/√b - correct answers-=√(a/b)
SOLUTIONS
Integers - correct answers-are the numbers 1, 2 , 3 together with their negatives -1, -2, -
3 thus, they are the set of integers (...-3,-2,-1,0,1, 2,3...)
Factor or Divisor - correct answers-When integers are multiplied, each of the multiplied
inters are called a factor or divisor of the resulting product.
ex: (3)(2)(5)=30
3, 2 & 5 are factors of the MULTIPLE 30
ex2: the positive factors of 60 are ?
1,2,3,4,5,6,10
Multiple - correct answers-We say that 30 is a multiple of each of its factors and that 30
is divisible by each of its divisors
ex: (3)(2)(5)=30
3, 2 & 5 are factors of the MULTIPLE 30
Prime Number - correct answers-is an integer greater than 1 that has only two positive
divisors 1 and itself.
First 10 Prime Numbers - correct answers-2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Is 1 a prime number? - correct answers-1 is NOT a prime number
Sum of Integers:
1. two even integers
2.two odd integers
3. an even and an odd intiger - correct answers-1. even intiger
2. even intiger
3. odd intiger
Product of Integers:
1. two even integers
2. two odd integers
3. an even and an odd itiger - correct answers-1. Even
2. Odd
3. Even
, Is 2 a prime number? - correct answers-Yes, 2 is the ONLY even prime number
Prime Divisor/Prime Factorization - correct answers-Every interger >1 that is not a prime
number can be uniquely expressed as a product of factors that are prime numbers or
PRIME DIVISORS.
Such an expression is called prime factorization.
ex: 12=(2)(2)(2)=(2^3)(3)
ex:338= (2)(13)(13)=(2)(13^2)
Fraction - correct answers-Numerator/Denominator
aka-rational number
Adding Fractions - correct answers-1. Find a common denominator
2. add the numerators together and keep the denominator
Multiplying Fractions - correct answers-Multiply the two numerators AND multiply the
two denominators
Dividing Fractions - correct answers-1. to divid one fraction by another first invert the
second fraction
2. Multiply by the reciprocal
a⁰ - correct answers-=expression undefined
-3² - correct answers--9
(-3)² - correct answers-9
a⁻² - correct answers-= 1/a^2
Square Roots - correct answers-all positive numbers have two square roots, one
positive and one negative.
(√a)² - correct answers-=a
√a² - correct answers-=a
√a ×√b - correct answers-=√ab
√a/√b - correct answers-=√(a/b)
