HSPT Quantitative : HSPT Quantitative Skills

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #183 : Number Series*

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

Each element, from the third element on, is equal to the sum of the previous two. For example:

The next element is the sum of 12 and 19:

Continuing the sequence, we confirm this:

Example Question #184 : Number Series*

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

To get each term, add an amount to the previous term; the amount added decreases by one each time, as seen below.

Add 2 to get the next term:

Continuing, we see that this is correct:

Example Question #183 : How To Work With Number Series

Give the missing term in the sequence:

Possible Answers:

Correct answer:

Explanation:

The sequence is formed by adding consecutive perfect squares to each successive term, as seen below:

The next term is found by adding the square of 6:

Continuing, we can confirm that this is correct:

Example Question #331 : Hspt Quantitative Skills

Give the missing term in the following sequence:

Possible Answers:

Correct answer:

Explanation:

The elements given are all one greater than successive powers of 2:

The next element is one greater than the sixth power of 2:

,

the correct response. Continuing, we can confirm that this is the correct pattern:

Example Question #185 : Number Series*

Give the missing term in the following sequence:

 

Possible Answers:

Correct answer:

Explanation:

Both the numerator and the denominator are increasing by 3:

The missing term is therefore

Continuing, we confirm this is correct:

 

 

Example Question #332 : 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 #192 : 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 #192 : Number Series*

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 #193 : 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 #194 : 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:

 

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