HSPT Quantitative : How to work with number series

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #161 : How To Work With Number Series

What is the next number in the sequence?

17, 27, 38, 50, 63, 77, _______

Possible Answers:

Correct answer:

Explanation:

The pattern is to add (x + 1). 

In the beginning of the sequence, x equals 9.

 

Example Question #162 : How To Work With Number Series

What is the next number in this sequence?

55, 54, 56, 53, 57, 52, _______

Possible Answers:

Correct answer:

Explanation:

There are two ways to look at this pattern. 

First, the pattern could be viewed as:

-1, +2, -3, +4, -5, +6

Secondly, you could view the sequence as two separate, alternating patterns. 

Pattern A (55, 56, 57) and Pattern B (54, 53, 52).  In this case, Pattern A increases by 1 each time; Pattern B decreases by 1 each time.

Example Question #163 : How To Work With Number Series

What number comes next in the sequence?

2, 12, 7, 17, 12, 22, ________

Possible Answers:

Correct answer:

Explanation:

The pattern is add 10, then subtract 5.

Example Question #164 : Number Series*

What number comes next in the sequence?

7, 14, 11, 22, 19, ____________

Possible Answers:

Correct answer:

Explanation:

The pattern is multiply by 2, then subtract 3.

Example Question #164 : How To Work With Number Series

What number should come next in the sequence?

120, 60, 180, 90, 270, ________

Possible Answers:

Correct answer:

Explanation:

The pattern is divide by 2, then multiply by 3.

Example Question #165 : How To Work With Number Series

What number should come next in this series?

1, 7, 11, 13, 17, 23, 27, _____

Possible Answers:

Correct answer:

Explanation:

The pattern fluctuates between adding 2, adding 4, and adding 6.  Each time you reach the number 2 or 6, you reverse course.  Think of it like a snake:  add 6, add 4, add 2, add 4, add 6, add 4, add 2, etc. 

Example Question #167 : Number Series*

What number comes next in the series?

75, 70, 85, 80, 95, 90, _____

Possible Answers:

Correct answer:

Explanation:

The pattern is to subtract 5, then add 15.

Example Question #164 : How To Work With Number Series

What number comes next in the series?

11, 15, 24, 40, 65, _____

Possible Answers:

Correct answer:

Explanation:

The pattern is to add  with .

Now 

 

Example Question #165 : How To Work With Number Series

What number comes next in the series?

47, 94, 74, 148, _____

Possible Answers:

Correct answer:

Explanation:

The pattern is to multiply by 2, then subtract 20. 

The last two given numbers in the series were 74 and 148. 

Since , the next operation is to subtract 20.

Example Question #166 : How To Work With Number Series

What number comes next in the series?

11, 7, 21, 17, 51, _____

Possible Answers:

Correct answer:

Explanation:

The pattern is to subtract 4, then multiply by 3. 

The last two given numbers in the series were 17 and 51. 

Since , the next operation is to subtract 4.

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