HSPT Quantitative : Number Series*

Study concepts, example questions & explanations for HSPT Quantitative

varsity tutors app store varsity tutors android store

Example Questions

Example Question #331 : Hspt Quantitative Skills

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

The sequence alternates between positive and negative values, and the blank appears between two negative terms; the missing term must be positive, so we can eliminate . The numerators are all 1 and the denominators increase by 1, so the missing term must be .

Example Question #191 : Number Series*

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

The pattern is as follows: add 1, multiply by 1; add 2, multiply by 2; add 3, multiply by 3; and keep adding, then multiplying by the next whole number. Examine below:

The missing entry:

Continuing, we can confirm this is correct:

Example Question #331 : Hspt Quantitative Skills

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

The sequence is obtained by adding, multiplying by, subtracting, and dividing by 1, in that order; then doing the same operations with 2 in that order; and so forth, increasing the number by 1 every four terms, as follows:

Working the same operations with 2:

Working the same operations with 3:

Multiply by 3 to get the next term:

Continuing the pattern, we see this is correct:

Example Question #191 : Number Series*

Give the missing term of the sequence:

Possible Answers:

Correct answer:

Explanation:

The sequence is formed as follows:

Take the sequence of consecutive integers

Change 3 and every fourth successive entry to its (negative) opposite:

Change 2  and every fourth successive entry to its reciprocal:

Change 4 and every fourth successive entry to the (negative) opposite of its reciprocal:

The missing entry is , as noted below.

Example Question #191 : Number Series*

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

The terms are generated by adding squares of consecutive odd integers, as follows:

The missing number is generated as follows:

Continuing the pattern, we see that this is correct:

 

Example Question #192 : Number Series*

Give the missing term in the following sequence:

 

Possible Answers:

Correct answer:

Explanation:

The pattern is as follows: add 2, multiply by 2, subtract 2;  add 3, multiply by 3, subtract 3; keep working this same sequence of operations with consecutive whole numbers. Examine below:

Multiply by 4 to fill in the blank:

Continuing the pattern, we see this is correct:

Example Question #191 : How To Work With Number Series

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

Subtract 1, then 2, then 3, and so forth; the amount subtracted increases by 1 each time, as shown:

Subtract 6 to get the missing term:

Continuing the pattern, we confirm this is correct:

Example Question #191 : How To Work With Number Series

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

Alternately add 4 and 8 to each term, as follows:

Add 4 to get the missing term:

Continuing the pattern, we see this is correct:

Example Question #192 : How To Work With Number Series

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

The terms of the sequence are obtained by alternately multiplying by  and subtracting 5, as seen below:

Multiply by  to obtain the next term:

Continuing the pattern, we see that this is correct:

 

Example Question #191 : How To Work With Number Series

What number should come next in this series?

__

Possible Answers:

Correct answer:

Explanation:

There are two alternating patterns in this series. The first is add  each time:

The second is to multiply by  each time:

The blank belongs to the second pattern. The last operation is 

Learning Tools by Varsity Tutors