HSPT Quantitative : How to make non-geometric comparisons

Study concepts, example questions & explanations for HSPT Quantitative

varsity tutors app store varsity tutors android store

Example Questions

1 2 3 4 5 6 7 8 9 11 Next →

Example Question #101 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer:

a)  percent of 

b) 

c) 

Possible Answers:

Correct answer:

Explanation:

To easily compare them, turn each expression into a decimal:

a)  percent of  

b) 

c)  

Now it is clear that (a) is greater than (b), which is greater than (c)

Example Question #102 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer:

a) 

b) 

c) 

Possible Answers:

Correct answer:

Explanation:

Choose a common denominator to compare the fractions. One choice is , because its factors include , and :

a) 

b) 

c) 

It is now clear that (b) is smaller than (a), which is smaller than (c)

Example Question #103 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer: 

a) 

b) 

c) 

* is a non-zero integer

Possible Answers:

Correct answer:

Explanation:

a)  

b)  

c) 

Therefore (a) and (b) are equal. For all non-zero integers (whole numbers other than zero),  will be smaller than , so (c) is smaller than (a) and (b).

 

Example Question #104 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer:

a) 

b) 

c) 

Possible Answers:

Correct answer:

Explanation:

Convert each into a proper fraction to compare the values:

a) 

b) 

c) 

1 2 3 4 5 6 7 8 9 11 Next →
Learning Tools by Varsity Tutors