ISEE Upper Level Quantitative : Numbers and Operations
Study concepts, example questions & explanations for ISEE Upper Level Quantitative
All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #1 : How To Find Out If A Number Is Prime
Which is the greater quantity?
(a) The number of primes between 20 and 50
(b) The number of primes between 10 and 40
It is impossible to tell from the information given.
(a) is greater.
(a) and (b) are equal.
(b) is greater.
(b) is greater.
The primes between 20 and 40 are included in both sets, so all we need to do is to compare the number of primes between 40 and 50 with the number of primes between 10 and 20.
(a) The primes between 40 and 50 are 41, 43, and 47 - three.
(b) The primes between 10 and 20 are 11, 13, 17, and 19 - four.
Since the number of primes between 10 and 20 outnumbers those between 40 and 50, the number of primes between 10 and 40 outnumber those between 20 and 50. Therefore, (b) is the greater.
Example Question #2 : How To Find Out If A Number Is Prime
Which is the greater quantity?
(a) The product of the first five prime numbers
(b)
(a) and (b) are equal.
It is impossible to tell from the information given.
(a) is greater.
(b) is greater.
(b) is greater.
(a) The product of the first five prime numbers is 
(b)
(b) is greater.
Example Question #61 : Factors / Multiples
Which is the greater quantity?
(a) The sum of the prime numbers between and
inclusive
(b) The sum of the prime numbers between and
inclusive
(b) is greater.
(a) is greater.
(a) and (b) are equal.
It is impossible to tell from the information given.
(a) is greater.
(a) The prime numbers in the to
range are
, and
. Their sum is
(b) The prime numbers in the to
range are
and
; their sum is
(a) is greater.
Example Question #62 : Factors / Multiples
Which is the greater quantity?
(a) The product of the two greatest primes less than or equal to 100
(b) 9,000
(a) is greater
(a) and (b) are equal
It is impossible to tell from the information given
(b) is greater
(b) is greater
The two greatest primes less than or equal to 100 are 97 and 89; their product is 
Example Question #63 : Factors / Multiples
Which is the greater quantity?
(a) The product of the two least primes greater than or equal to 50
(b) 3,000
(b) is greater
It is impossible to tell from the information given
(a) is greater
(a) and (b) are equal
(a) is greater
The two least primes greater than or equal to 50 are 53 and 59; their product is 
Example Question #64 : Factors / Multiples
Which is the greater quantity?
(a) The sum of the five greatest primes less than or equal to 100
(b) 400
(a) is greater
It is impossible to tell from the information given
(b) is greater
(a) and (b) are equal
(a) is greater
The five greatest primes less than or equal to 100 are 
Example Question #65 : Factors / Multiples
Which of the following is not a prime number between 
A prime number is a number that is only divisible by itself and 
Example Question #16 : How To Find Out If A Number Is Prime
Which one is greater?
it is not possible to tell based on the information given.
A prime number is a natural number greater than 
The prime numbers between 
The prime numbers between 
So 
Example Question #17 : How To Find Out If A Number Is Prime
Which one is greater?
it is not possible to tell based on the information given.
A prime number is a natural number greater than
The prime numbers between 
The prime numbers between 
So there are five prime numbers between 
Example Question #18 : How To Find Out If A Number Is Prime
Which of the following numbers is not a prime number between 
A prime number is a natural number greater than 
All ISEE Upper Level Quantitative Resources
