SAT Math : SAT Mathematics
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Example Questions
Example Question #5 : How To Find The Next Term In An Arithmetic Sequence
Solve each problem and decide which is the best of the choices given.
Find the sixth term in the following arithmetic sequence.
First find the common difference of the sequence,
Thus there is a common difference of
so follow that pattern for another 
Example Question #6 : How To Find The Next Term In An Arithmetic Sequence
Find the missing number in the sequence:
The pattern of this sequence is 
For the fourth term, 
Example Question #4 : How To Find The Next Term In An Arithmetic Sequence
An arithmetic sequence begins as follows:
Express the next term of the sequence in simplest radical form.
Using the Product of Radicals principle, we can simplify the first two terms of the sequence as follows:
The common difference 
Add this to the second term to obtain the desired third term:
Example Question #5 : How To Find The Next Term In An Arithmetic Sequence
An arithmetic sequence begins as follows:
Give the next term of the sequence in simplest radical form.
None of the other choices gives the correct response.
None of the other choices gives the correct response.
Since no perfect square integer greater than 1 divides evenly into 5 or 10, both of the first two terms of the sequence are in simplest form.
The common difference 
Setting 
Add this to the second term to obtain the desired third term:
This is not among the given choices.
Example Question #4 : How To Find The Next Term In An Arithmetic Sequence
An arithmetic sequence begins as follows:
Give the sixth term of the sequence in decimal form.
The common difference 
Setting 
The 
Setting 
The decimal equivalent of this can be found by dividing 13 by 15 as follows:
The correct choice is 
Example Question #1 : How To Find The Next Term In An Arithmetic Sequence
An arithmetic sequence begins as follows:
Give the sixth term of the sequence.
The common difference
Setting 
The
Setting
Example Question #41 : Sequences
Complete the sequence:
The pattern of this sequence is 
Here are our givens:
This means that our fourth term will be:
Example Question #1 : How To Find The Missing Number In A Set
Which number completes the following series: 1, 2, 4, 8, 16, 32, 64, _?
Not enough information
16
64
128
15
128
All of the numbers in this series are 2n-1. The number that we are looking for is the eighth number. So 28–1 = 27 = 128.
Example Question #2 : How To Find The Missing Number In A Set
Alhough Danielle’s favorite flowers are tulips, she wants at least one each of three different kinds of flowers in her bouquet. Roses are twice as expensive as lilies and lilies are 25% of the price of tulips. If a rose costs $20 and Danielle only has $130, how many tulips can she buy?
4
3
2
5
1
2
She can only buy 2 tulips at $80, because if she bought 3 she wouldn’t have enough to afford the other 2 kinds of flowers. She has to spend at least 30 dollars (20 + 10) on 1 rose and 1 lily.
Example Question #1 : Counting / Sets
Which of the following is not a rational number?
1.75
.001
5
0.111...
√2
√2
A rational number is a number that can be written in the form of a/b, where a and b are integers, aka a real number that can be written as a simple fraction or ratio. 4 of the 5 answer choices can be written as fractions and are thus rational.
5 = 5/1, 1.75 = 7/4, .001 = 1/1000, 0.111... = 1/9
√2 cannot be written as a fraction because it is irrational. The two most famous irrational numbers are √2 and pi.
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