HSPT Quantitative : HSPT Quantitative Skills

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

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 #165 : How To Work With 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 #166 : 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 #164 : 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 #165 : 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.

Example Question #171 : How To Work With Number Series

What is the next number in the series?

156, 148, 74, 66, 33, _____

Possible Answers:

Correct answer:

Explanation:

The pattern is to subtract 8, then divide by 2. 

The last two given numbers in the series are 66 and 33. 

Since ,

the next operation is to subtract 8.

Example Question #315 : Hspt Quantitative Skills

What number should come next in this series?

7, 70, 35, 350, 175, __________

Possible Answers:

Correct answer:

Explanation:

The pattern is multiply by 10, then divide by 2. 

 

Example Question #172 : How To Work With Number Series

What number should come next in the series?

54, 58, 51, 64, 68, 61, ___________

Possible Answers:

Correct answer:

Explanation:

The pattern has three parts:  add 4, subtract 7, add 13. 

The sequence has gone through one whole cycle and two-thirds of the second. 

Therefore, the next part of the pattern is to add 13 to the last number.  

Example Question #173 : Number Series*

Which number should come next in the sequence?

612, 204, 1224, 408, 2448, __________

Possible Answers:

Correct answer:

Explanation:

There are two different ways to solve this problem.  The first pattern is to divide by 3, then multiply by 6. 

This would mean we should divide 2448 by 3.

The second way to view this pattern is that there are two groups of numbers which double themselves.  If we think of 612, 1224 and 2448 as the A sequence, each number in this sequence is multipled by 2.  Think of 204, 408 and the unknown number we're looking for as the B sequence.  408 is double 204.  It is safe to assume that the next number in the B sequence would be double 408. 

Example Question #174 : Number Series*

Which number should come next in the sequence?

3, 4, 5, 9, 12, 15, 27, _______

Possible Answers:

Correct answer:

Explanation:

This sequence has groupings of three numbers.  The three numbers in the first group are 3, 4 and 5.  The three numbers in the second group are 9, 12 and 15.  The first number in the third group is 27.  How then do we determine the second number in the third group?  By placing the first group in a line above the second group, and the second group above the third group, we can determine their relationships.

Group 1:     3      4      5

Group 2:     9     12     15

Group 3:     27    ?       ?

Based on the first numbers in each group (3, 9 and 27), we can determine that each group of numbers have been multiplied by 3.  Therefore if we multiply 12 by 3, we get 36. 

 

 

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