HSPT Quantitative : How to make non-geometric comparisons
Study concepts, example questions & explanations for HSPT Quantitative
All HSPT Quantitative Resources
Example Questions
Example Question #11 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b) The smallest prime number larger than
c) 
a) 
b) The smallest prime number larger than 
c) 
Therefore (b) is smaller than (c) which is smaller than (a).
Example Question #12 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
Always do the operations in parantheses first, then multiplication, then addition.
a)
b)
c)
Therefore (a) is greater than (b), which is greater than (c) .
Example Question #13 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a) 
b) 
c) 
Multiply each fraction by the number to find each value:
a) 
b) 
c) 
Therefore (a) is less than (c), which is less than (b).
Example Question #14 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(a) is greater than (b) and (c).
(a), (b), and (c) are all equal.
(a) and (b) are equal.
(c) is greater than (a) and (b).
(c) is greater than (a) and (b).
Always do the operations in parantheses first, then exponents, multiplication, and last addition.
a) 
b) 
c) 
Example Question #12 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(b) and (c) are equal.
(a), (b), and (c) are equal.
(b) is greater than both (a) and (c).
(a) is greater than both (b) and (c).
(b) and (c) are equal.
Compute each value in order to compare them:
a) 
b) 
c) 
Therefore (b) and (c) are equal, and they are greater than (a).
Example Question #13 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
(a) and (b) are equal.
(a), (b), and (c) are all equal.
(c) is greater than (a) or (b).
(b) is greater than (a) or (c).
(b) is greater than (a) or (c).
Rewrite the first fraction with a denominator of 
a)
b)
c)
It becomes clear that (b) is the greatest, followed by (a), then (c).
Example Question #14 : How To Make Non Geometric Comparisons
Examine (a), (b) and (c) to find the best answer:
a) 
b) 
c) 
(a) is greater than (b) or (c).
(b) is greater than (a) or (c).
(a) and (c) are equal.
(a) and (b) are equal.
(a) and (b) are equal.
Calculate the percents in order to compare them:
a) 
b) 
c) 
Therefore (a) and (b) are equal, and less than (c).
Example Question #16 : Non Geometric Comparison
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
Calculate the exponents to compare the values:
a) 
b) 
c) 
Therefore (a) is greater than (b), which is greater than (c).
Example Question #14 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b)
c)
Only (a) and (c) are equal.
(a), (b), and (c) are all equal.
None are equal.
Only (b) and (c) are equal.
Only (a) and (c) are equal.
Simplify each expression to see if they are equal:
a) 
b) 
c) 
Therefore (a) and (c) are equal, but (b) is different.
Example Question #15 : How To Make Non Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a)
b) 
c)
(c) is greater than (a) and (b).
(a) is greater than (b) and (c).
(a), (b), and (c) are all equal.
(b) is greater than (a) and (c).
(a) is greater than (b) and (c).
Convert each expression into a decimal in order to compare them:
a)
b)
c)
Therefore (a) is the largest.
Certified Tutor
Certified Tutor
All HSPT Quantitative Resources
