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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 : Sequences And Series

What number comes next in the sequence? 

 _______

Possible Answers:

\displaystyle 11

\displaystyle 9

\displaystyle 10

\displaystyle 12

\displaystyle 8

Correct answer:

\displaystyle 10

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 \displaystyle 5, we add \displaystyle 4 to get \displaystyle 9, subtract \displaystyle 3 to get \displaystyle 6, and then repeat. 

When we get to \displaystyle 9 for the second time in the sequence, we are adding \displaystyle 4 to get \displaystyle 13. By the next step in the sequence, we will subtract \displaystyle 3 to get the missing number \displaystyle 10.

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

What is the next number in the sequence?

\displaystyle 1, 11, 6, 16, 11, 21, 16, 26, 21, _______

Possible Answers:

\displaystyle 31

\displaystyle 41

\displaystyle 36

\displaystyle 26

\displaystyle 21

Correct answer:

\displaystyle 31

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 \displaystyle 1, we add \displaystyle 10 to get \displaystyle 11 and then subtract \displaystyle 5 to get \displaystyle 6.

By the time we get to \displaystyle 21, we have subtracted \displaystyle 5 from \displaystyle 26 to complete the cycle of common differences. We will therefore add \displaystyle 10 to \displaystyle 21 next, getting the missing number \displaystyle 31.

Example Question #2 : Common Difference In Sequences

What is the next number in the sequence?

\displaystyle 2, 8, 4, 16, 8, 32, 16, 64, _______

Possible Answers:

\displaystyle 30

\displaystyle 38

\displaystyle 34

\displaystyle 32

\displaystyle 36

Correct answer:

\displaystyle 32

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 \displaystyle 2 by \displaystyle 4 to get \displaystyle 8 and then divide by \displaystyle 2 to get \displaystyle 4

We multiply the second \displaystyle 16 in the sequence by \displaystyle 4 to get \displaystyle 64, so by the logic of the sequence we will be dividing by \displaystyle 2 to get the missing number \displaystyle 32.

Example Question #1 : Common Difference In Sequences

Find the common difference for the arithmetic sequence:

\displaystyle 12, 19, 26, 33...

Possible Answers:

\displaystyle 7

\displaystyle 14

\displaystyle -6

\displaystyle -7

Correct answer:

\displaystyle 7

Explanation:

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

\displaystyle 19-12=7

Example Question #12 : Sequences And Series

Find the common difference for the arithmetic sequence:

\displaystyle -50, 25, 100, 175...

Possible Answers:

\displaystyle -75

\displaystyle 50

\displaystyle 120

\displaystyle 75

Correct answer:

\displaystyle 75

Explanation:

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

\displaystyle 25-(-50)=25+50=75

Example Question #13 : Sequences And Series

Find the common difference for the arithmetic sequence:

\displaystyle -12, -7, -2, 3...

Possible Answers:

\displaystyle 1

\displaystyle -19

\displaystyle -5

\displaystyle 5

Correct answer:

\displaystyle 5

Explanation:

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

\displaystyle -7-(-12)=-7+12=5

Example Question #14 : Sequences And Series

Find the common difference for the arithmetic sequence:

\displaystyle 120, 47, -26, -99...

Possible Answers:

\displaystyle 73

\displaystyle 21

\displaystyle -65

\displaystyle -73

Correct answer:

\displaystyle -73

Explanation:

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

\displaystyle 47-120=-73

Example Question #15 : Sequences And Series

Find the common difference for the arithmetic sequence:

\displaystyle 8, 19, 30, 41...

Possible Answers:

\displaystyle 49

\displaystyle 19

\displaystyle 11

\displaystyle 14

Correct answer:

\displaystyle 11

Explanation:

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

\displaystyle 19-8=11

Example Question #1571 : Ssat Upper Level Quantitative (Math)

Find the common difference for the arithmetic sequence:

\displaystyle 14, 26, 38, 50...

Possible Answers:

\displaystyle 11

\displaystyle 14

\displaystyle 15

\displaystyle 12

Correct answer:

\displaystyle 12

Explanation:

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

\displaystyle 26-14=12

Example Question #1572 : Ssat Upper Level Quantitative (Math)

Find the common difference for the arithmetic sequence:

\displaystyle -5, 8, 21, 34...

Possible Answers:

\displaystyle 14

\displaystyle 13

\displaystyle -13

\displaystyle 12

Correct answer:

\displaystyle 13

Explanation:

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

\displaystyle 8-(-5)=8+5=13

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