SSAT Upper Level Math : Patterns
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All SSAT Upper Level Math Resources
Example Questions
Example Question #11 : Patterns
In the following numeric sequence, what number goes in place of the circle?
The sequence is generated by alternately multiplying by 3, then adding 8:
Example Question #12 : How To Find Algebraic Patterns
Anya, Brian, Clark, and Donna represented Central High in a math contest. The team score is the sum of the three highest scores; Anya outscored Clark, Brian outscored Donna; Donna outscored Clark. Whose scores were added to determine the team score?
Anya, Clark, Donna
Insufficient information is given to answer the question.
Anya, Brian, Donna
Anya, Brian, Clark
Brian, Donna, Clark.
Anya, Brian, Donna
Let 
Three inequalities can be deduced from these statements:
Anya outscored Clark:
Brian outscored Donna:
Donna outscored Clark:
The first and third statements can be combined to arrive at:
so Brian and Donna both outscored Clark. Since Anya outscored Clark also, Clark finished last among the four, and the team score was the sum of Anya's, Brian's and Donna's scores.
Example Question #12 : Patterns
Which of the following numbers can complete the sequence?
Each subsequent number in this set is half the previous number, minus 1.
For example, the number after 13 is 25 because:
Thus, the number after 25 is equal to:
Example Question #14 : Algebra
Give the sum of the infinite geometric series whose first two terms are 6 and 5, in that order.
The sum of an infinite geometric series with initial term 
The initial term is 
Example Question #15 : Algebra
Examine the above figure. In the top row, the cubes of the whole numbers are written in ascending order. In each successive row, each entry is the difference of the two entries above it - five of those entries have been calculated for you.
What is the fifth entry in the third row?
The fifth entry in the third row is the difference of the sixth and fifth entries in the second row.
The sixth entry in the second row is the difference of 216 and 125:
The fifth entry in the second row is the difference of 343 and 216:
Now subtract these two:
Example Question #16 : Algebra
Examine the above figure. In the top row, the cubes of the whole numbers are written in ascending order. In each successive row, each entry is the difference of the two entries above it - five of those entries have been calculated for you.
Suppose we were to extend the figure infinitely. What would be the tenth entry in the fourth row?
We do not actually need to calculate this entry; we can actually see the pattern if we just calculate the first few entries in the fourth row.
The fourth row is comprised entirely of 6's, so the tenth entry - the correct response - is 6.
Example Question #17 : Algebra
Give the sum of the infinite geometric series that begins
The sum of an infinite geometric series with initial term 
The initial term is 
Example Question #18 : Ssat Upper Level Quantitative (Math)
Define a sequence of numbers as follows:
For all integers 
Evaluate 
Using the definition of this particular sequence we will plug in 
33 is the correct choice.
Example Question #19 : Ssat Upper Level Quantitative (Math)
Define a sequence of numbers as follows:
For all integers 
Evaluate 
Using the definition of this particular sequence we will plug in
Example Question #18 : Algebra
The above diagram shows a sequence of figures. In the fourth figure, each of the three variables, 
What value replaces 
The two numbers along the upper sides of each triangle are those in the previous triangle, increased by 1. Therefore,
The number along the bottom side of each triangle is the product of the other two numbers. Therefore,
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