All HSPT Quantitative Resources
Example Questions
Example Question #81 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a)
b)
c) percent
Convert everything to a decimal to be able to compare them more easily:
a)
b)
c) percent
Now it is clear that (a) and (b) are equal, and they are both greater than (c).
Example Question #82 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
When simplifying the expressions, follow the order of operations: parentheses, exponents, multiplication, then addition.
a)
b)
c) =
Therefore (a) is smaller than (c), which is smaller than (b).
Example Question #83 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a) percent of
b) of
c) of
Calculate the expressions to compare the values:
a) percent of
b) of
c) of
Therefore (a) is greater than (b), which is greater than (c).
Example Question #84 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a) of
b) of
c) of
(a) is equal to (b)
(a), (b), and (c) are all unequal
(a) is equal to (c)
(a), (b), and (c) are all equal
(a) is equal to (c)
Calculate the expressions to compare the values:
a) of is
b) of is
c) of is
(a) and (c) are equal, but (b) is not
Example Question #85 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(a) is equal to (b).
(a), (b), and (c) are all equal.
(a) is equal to (c).
(a), (b), and (c) are all unequal.
(a) is equal to (c).
Simplify each of the expressions to see if they are equal:
a)
b)
c)
Therefore (a) is equal to (c), but not (b).
Example Question #86 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a) percent of
b)
c)
Calculate all the expressions to compare the values:
a) percent of
b)
c)
Therefore (c) is greater than (a), which is greater than (b).
Example Question #87 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(a), (b), and (c) are all equal
(a) is equal to (c) but not (b)
(a), (b), and (c) are all unequal if
(a) is equal to (b) but not (c)
(a), (b), and (c) are all unequal if
Try substituting a number in for . Here, we try
(a)
(b)
(c)
None are equal!
If we use , all of the answers will be .
Example Question #88 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a) of
b) of
c) of
Calculate each fraction to compare the values:
a) of is .
b) of is .
c) of is .
Therefore (b) is smaller than (a), which is smaller than (c).
Example Question #48 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(a) is equal to (c) but not (b).
(a) is equal to (b) but not (c).
(a), (b), and (c) are all equal.
(a), (b), and (c) are all unequal.
(a) is equal to (b) but not (c).
Distribute (a) to compare it to (b) and (c)
a)
b)
c)
Therefore (a) is equal to (b), but not (c).
Example Question #49 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(b) is equal to (c) but not (a)
(a), (b), and (c) are all equal
(a) is equal to (c) but not (b)
(a), (b), and (c) are all not equal
(a), (b), and (c) are all not equal
Distribute (c) to compare it to (a) and (b):
a)
b)
c)
Simplified, it is evident that all three equations are not equal. You can also try substituting a number in for , and you will get three different values.