All SSAT Upper Level Math Resources
Example Questions
Example Question #1 :How To Find The Common Difference In Sequences
Set R consists of multiples of 4. Which of the following sets are also included within set R?
Set Z, containing multiples of 1.
Set Q, containing multiples of 7.
Set W, containing multiples of 8.
Set X, containing multiples of 2.
Set Y, containing multiples of 6.
Set W, containing multiples of 8.
The easiest way to solve this problem is to write out the first few numbers of the sets.
Set R (multiples of 4):
Set W (multiples of 8):
集合X(2)的倍数:
Set Y (multiples of 6):
Set Z (multiples of 1):
Set Q (multiples of 7):
Given that Set W is the only set in which the entire set of numbers is reflected in Set R, it is the correct answer.
Example Question #2 :How To Find The Common Difference In Sequences
What number comes next in this sequence?
4 12 9 6 18 15 12 36 33 __
Determining sequences can take some trial and error, but generally aren't as intimidating as they may at first appear. For this sequence, you multiply the first term by 3, and then subtract 3 two times in a row. Then repeat. When you get to 33, you have only subtracted 3 once, so you have to do that one more time:
Example Question #3 :How To Find The Common Difference In Sequences
What number comes next in the sequence?
_______
In order to find the next number in the sequence, take a look at the patterns and common differences between the existing numbers in the sequence. Starting with, we addto get, subtractto get, and then repeat.
When we get tofor the second time in the sequence, we are addingto get. By the next step in the sequence, we will subtractto get the missing number.
Example Question #4 :How To Find The Common Difference In Sequences
What is the next number in the sequence?
_______
In order to find the next number in the sequence, take a look at the patterns and common differences between the existing numbers in the sequence. Starting with, we addto getand then subtractto get.
By the time we get to, we have subtractedfromto complete the cycle of common differences. We will therefore addtonext, getting the missing number.
Example Question #5 :How To Find The Common Difference In Sequences
What is the next number in the sequence?
_______
In order to find the next number in the sequence, take a look at the patterns and common differences between the existing numbers in the sequence. Starting at the beginning, we multiplybyto getand then divide byto get.
We multiply the secondin the sequence byto get, so by the logic of the sequence we will be dividing byto get the missing number.
Example Question #6 :How To Find The Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.
Example Question #7 :How To Find The Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.
Example Question #8 :How To Find The Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.
Example Question #9 :How To Find The Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.
Example Question #10 :How To Find The Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.