All HSPT Quantitative Resources
Example Questions
Example Question #183 : Number Series*
Give the missing term in the following sequence:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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: