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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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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

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 $\displaystyle 10$ .

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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 $\displaystyle 31$ .

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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 $\displaystyle 32$ .

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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.

19-12=7 $\displaystyle 19-12=7$

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Example Question #12 : Sequences And Series

Find the common difference for the arithmetic sequence:

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

Possible Answers:

$\displaystyle -75$

$\displaystyle 50$

120 $\displaystyle 120$

$\displaystyle 75$

Correct answer:

$\displaystyle 75$

Explanation:

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

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

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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.

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

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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.

$\displaystyle 47-120=-73$

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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.

19-8=11 $\displaystyle 19-8=11$

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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.

$\displaystyle 26-14=12$

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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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All SSAT Upper Level Math Resources

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

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : Sequences And Series

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

Example Question #2 : Common Difference In Sequences

Example Question #1 : Common Difference In Sequences

Example Question #12 : Sequences And Series

Example Question #13 : Sequences And Series

Example Question #14 : Sequences And Series

Example Question #15 : Sequences And Series

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

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

All SSAT Upper Level Math Resources

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