SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #1 : How To Find The Common Difference In Sequences

What number comes next in the sequence? 

 _______

Possible Answers:

Correct answer:

Explanation:

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 add  to get , subtract  to get , and then repeat. 

When we get to  for the second time in the sequence, we are adding  to get . By the next step in the sequence, we will subtract  to get the missing number .

Example Question #1 : How To Find The Common Difference In Sequences

What is the next number in the sequence?

 _______

Possible Answers:

Correct answer:

Explanation:

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 add  to get  and then subtract  to get .

By the time we get to , we have subtracted  from  to complete the cycle of common differences. We will therefore add  to  next, getting the missing number .

Example Question #3 : How To Find The Common Difference In Sequences

What is the next number in the sequence?

 _______

Possible Answers:

Correct answer:

Explanation:

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 multiply  by  to get  and then divide by  to get 

We multiply the second  in the sequence by  to get , so by the logic of the sequence we will be dividing by  to get the missing number .

Example Question #2 : How To Find The Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

Subtract the first term from the second term to find the common difference.

Example Question #3 : How To Find The Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

Subtract the first term from the second term to find the common difference.

Example Question #4 : How To Find The Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

Subtract the first term from the second term to find the common difference.

Example Question #5 : How To Find The Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

Subtract the first term from the second term to find the common difference.

Example Question #6 : How To Find The Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

Subtract the first term from the second term to find the common difference.

Example Question #11 : How To Find The Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

Subtract the first term from the second term to find the common difference.

Example Question #12 : How To Find The Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

Subtract the first term from the second term to find the common difference.

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