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HSPT Quantitative : How to work with number series

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6 Diagnostic Tests 55 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Number Series*

What number should come next in this series?

$\displaystyle 2, 12, 9, 19, 16, 26, __$ __

Possible Answers:

$\displaystyle 23$

$\displaystyle 29$

$\displaystyle 18$

$\displaystyle 36$

Correct answer:

$\displaystyle 23$

Explanation:

The pattern is add $\displaystyle 10$, subtract $\displaystyle 3$. The last operation is 26-3=23 $\displaystyle 26-3=23$.

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Example Question #1 : How To Work With Number Series

What number should come next in this series?

$\displaystyle 13, 10, 5, 2, 1,$ __

Possible Answers:

$\displaystyle 3$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\displaystyle -2$

$\displaystyle 0$

Correct answer:

$\displaystyle -2$

Explanation:

The pattern is subtract $\displaystyle 3$, divide by $\displaystyle 2$. The last operation is 1-3=-2 $\displaystyle 1-3=-2$.

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Example Question #1 : Number Series*

What number should come next in this series?

$\displaystyle 1, 4, 9, 16, 25, 36,$ __

Possible Answers:

$\displaystyle 47$

$\displaystyle 64$

$\displaystyle 39$

$\displaystyle 49$

Correct answer:

$\displaystyle 49$

Explanation:

The pattern in this series is perfect squares:

$1\cdot 1=1$ $\displaystyle 1\cdot 1=1$

$2\cdot 2=4$ $\displaystyle 2\cdot 2=4$

$3\cdot 3=9$ $\displaystyle 3\cdot 3=9$

...

$7\cdot 7=49$ $\displaystyle 7\cdot 7=49$

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Example Question #2 : How To Work With Number Series

What number should come next in this series?

$\displaystyle .7, 1.2, 1.1, 1.6, 1.5, 2.0,$ __

Possible Answers:

1.9 $\displaystyle 1.9$

2.1 $\displaystyle 2.1$

2.5 $\displaystyle 2.5$

2.7 $\displaystyle 2.7$

Correct answer:

1.9 $\displaystyle 1.9$

Explanation:

The pattern is add $\displaystyle .5$, then subtract $\displaystyle .1$.

The last operation is $\displaystyle 2.0-.1=1.9$.

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Example Question #3 : How To Work With Number Series

What number should come next in this series?

$\displaystyle 12, 6, 16, 8, 18$, __

Possible Answers:

$\displaystyle 19$

$\displaystyle 17$

$\displaystyle 9$

$\displaystyle 7$

Correct answer:

$\displaystyle 9$

Explanation:

The pattern is divide by $\displaystyle 2$, then add $\displaystyle 10$. The last operation is $18\div 2=9$ $\displaystyle 18\div 2=9$.

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Example Question #5 : How To Work With Number Series

What number should come next in this series?

$\displaystyle 5, 21, 5, 19, 5, 17, 5,$ __

Possible Answers:

$\displaystyle 15$

$\displaystyle 21$

$\displaystyle -7$

$\displaystyle 5$

Correct answer:

$\displaystyle 15$

Explanation:

The general pattern for this one is subtract $\displaystyle 2$ each time, but a $\displaystyle 5$ is placed between each element. Ignoring the $\displaystyle 5$'s, the last operation is 17-2=15 $\displaystyle 17-2=15$.

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Example Question #6 : How To Work With Number Series

What number should come next in this series?

$\displaystyle 34, 17, 14, 7, 4,$ __

Possible Answers:

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 0$

$\displaystyle 6$

Correct answer:

$\displaystyle 2$

Explanation:

The pattern is divide by $\displaystyle 2$, then subtract $\displaystyle 3$. The last operation is $4\div2=2$ $\displaystyle 4\div2=2$.

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Example Question #2 : Number Series*

What number should fill in the blank in this series?

$\displaystyle .5,1.5,7.5,22.5,$__$\displaystyle ,85.5,91.5$

Possible Answers:

28.5 $\displaystyle 28.5$

23.5 $\displaystyle 23.5$

13.5 $\displaystyle 13.5$

26.5 $\displaystyle 26.5$

Correct answer:

28.5 $\displaystyle 28.5$

Explanation:

The pattern is multiply by $\displaystyle 3$, then add $\displaystyle 6$. The operation before the blank is $\displaystyle 22.5+6=28.5$.

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Example Question #8 : Number Series*

What number should come next in this series?

$\displaystyle 1,3,6,10,15,$__

Possible Answers:

$\displaystyle 20$

$\displaystyle 21$

$\displaystyle 22$

$\displaystyle 17$

Correct answer:

$\displaystyle 21$

Explanation:

Each element in the series adds a number that is one more than the last:

1+2=3 $\displaystyle 1+2=3$

3+3=6 $\displaystyle 3+3=6$

6+4=10 $\displaystyle 6+4=10$

10+5=15 $\displaystyle 10+5=15$

15+6=21 $\displaystyle 15+6=21$

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Example Question #9 : Number Series*

What number should come next in this series?

$\displaystyle 25,24,22,19,15,$__

Possible Answers:

$\displaystyle 11$

$\displaystyle 14$

$\displaystyle 8$

$\displaystyle 10$

Correct answer:

$\displaystyle 10$

Explanation:

In this series, a number is subtracted each time. That number always increases by $\displaystyle 1$:

25-1=24 $\displaystyle 25-1=24$

24-2=22 $\displaystyle 24-2=22$

22-3=19 $\displaystyle 22-3=19$

...

The last operation is:

15-5=10 $\displaystyle 15-5=10$

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All HSPT Quantitative Resources

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HSPT Quantitative : How to work with number series

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #1 : Number Series*

Example Question #1 : How To Work With Number Series

Example Question #1 : Number Series*

Example Question #2 : How To Work With Number Series

Example Question #3 : How To Work With Number Series

Example Question #5 : How To Work With Number Series

Example Question #6 : How To Work With Number Series

Example Question #2 : Number Series*

Example Question #8 : Number Series*

Example Question #9 : Number Series*

All HSPT Quantitative Resources

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