HSPT Quantitative : Non-Geometric Comparison
Study concepts, example questions & explanations for HSPT Quantitative
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Example Questions
Example Question #31 : Non Geometric Comparison
Examine (a), (b), and (c) and find the best answer:
a)
b)
c)
Each of these expressions can made to look like the other two through factoring or distributing:
(a) becomes (b) by distributing the 
(c) becomes (b) by distributing the 
(b) becomes (a) by factoring out 
Example Question #73 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a) 
b) 
c)
(b) is greater than (a) or (b).
(a) is equal to (c).
(a), (b), and (c) are all unequal.
(c) is greater than (a) or (b).
(c) is greater than (a) or (b).
Calculate the expressions to compare the values:
a) 
b) 
c) 
Now it is clear that (a) and (b) are equal, and (c) is greater than both of them.
Example Question #32 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
Calculate the expressions to compare the values:
a) 
b) 
c) 
Now, it is clear that (c) is greater than (b), which is greater than (a).
Example Question #34 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(b) is less than half of (a)
(c) is 
(b) and (c) are equal
(a) and (b) are equal
(b) is less than half of (a)
When solving this problem, make sure to follow the order of operations: first parentheses, then exponents, and finally addition.
a)  "15(2+2)")
b) 
c) 
None are equal, and (c) is much more than 
Example Question #33 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a) 
b)
c)
To easily compare them, turn each expression into a decimal:
a) 
b)
c) 
Now it is clear that (a) is greater than (b), which is greater than (c)
Example Question #34 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
Follow the order of operations when solving these problems: first parentheses, then exponents, then multiplication, then addition.
a) 
b) 
c) 
Therefore (b) is smaller than (a), which is smaller than (c).
Example Question #35 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(b) equals (c) but not (a).
(a), (b), and (c) are all equal.
(a) equals (b) but not (c).
(b) is greater than (a) or (c).
(a), (b), and (c) are all equal.
The only operations in these expressions are addition and subtraction. According to the order of operations, these are on the same level. That means we can reorder the numbers as much as we want, throw parentheses in wherever, and still get the same answer. Just make sure to keep track of what numbers are positive or negative. In this problem, (a), (b), and (c) all equal 
Example Question #36 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a) 
b) 
c) 
(a), (b), and (c) and all equal.
(c) is the smallest.
(b) is the smallest.
(a) is the smallest.
(c) is the smallest.
Calculate each expression to compare the values.
Examine (a), (b), and (c) to find the best answer:
a) 
b) 
c) 
Therefore (c) is the smallest, and (a) and (b) are equal.
Example Question #37 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
Calculate each expression to compare them:
a) 
b) 
c) 
Therefore (a) and (b) are equal, and (c) is larger than both of them.
Example Question #81 : Hspt Quantitative Skills
Examine (a), (b), and (c) to find the best answer:
a)
b)
c) 
Convert everything to a decimal to be able to compare them more easily:
a)
b) 
c) 
Now it is clear that (a) and (b) are equal, and they are both greater than (c).
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