HSPT Quantitative : HSPT Quantitative Skills

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #1 : Non Geometric Comparison

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

a)  percent of 

b)  percent of 

c)  percent of 

Possible Answers:

(b) is the greatest, and (a) and (c) are equal

(c) is greater than (b) or (a)

(a), (b), and (c) are all equal

(b) is greater than (a) or (c)

Correct answer:

(a), (b), and (c) are all equal

Explanation:

In each of these scenarios, if the percentage increases, the number decreases by the same factor. All cases are the same value:

a)  percent of 

b)  percent of 

c)  percent of 

Example Question #51 : Hspt Quantitative Skills

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

a) 

b) The smallest prime number larger than 

c)  percent of 

Possible Answers:

Correct answer:

Explanation:

a)  

b) The smallest prime number larger than  is .

c)  percent of 

 

Therefore (b) is smaller than (c) which is smaller than (a).

 

Example Question #51 : Hspt Quantitative Skills

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

a) 

b) 

c) 

 

Possible Answers:

Correct answer:

Explanation:

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 #12 : How To Make Non Geometric Comparisons

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

a)  of

b)  of 

c)  of 

 

Possible Answers:

Correct answer:

Explanation:

Multiply each fraction by the number to find each value:

a)  of 

b)  of 

c)  of 

Therefore (a) is less than (c), which is less than (b).

Example Question #54 : Hspt Quantitative Skills

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

a) 

b) 

c) 

Possible Answers:

(a) and (b) are equal.

(c) is greater than (a) and (b).

(a) is greater than (b) and (c).

(a), (b), and (c) are all equal.

Correct answer:

(c) is greater than (a) and (b).

Explanation:

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) 

Possible Answers:

(a), (b), and (c) are equal.

(b) and (c) are equal.

(b) is greater than both (a) and (c).

(a) is greater than both (b) and (c).

Correct answer:

(b) and (c) are equal.

Explanation:

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 #11 : How To Make Non Geometric Comparisons

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

a) 

b) 

c) 

 

Possible Answers:

(a), (b), and (c) are all equal.

(c) is greater than (a) or (b).

(a) and (b) are equal.

(b) is greater than (a) or (c).

Correct answer:

(b) is greater than (a) or (c).

Explanation:

Rewrite the first fraction with a denominator of  in order to compare more easily:

a) 

b) 

c) 

 

It becomes clear that (b) is the greatest, followed by (a), then (c).

Example Question #57 : Hspt Quantitative Skills

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

a)  percent of 

b)  percent of 

c)  percent of 

Possible Answers:

(a) and (b) are equal.

(a) is greater than (b) or (c).

(a) and (c) are equal.

(b) is greater than (a) or (c).

Correct answer:

(a) and (b) are equal.

Explanation:

Calculate the percents in order to compare them:

a)  percent of 

b)  percent of 

c)  percent of 

Therefore (a) and (b) are equal, and less than (c).

Example Question #58 : Hspt Quantitative Skills

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

a) 

b)

c)

Possible Answers:

Correct answer:

Explanation:

Calculate the exponents to compare the values:

a)  

b)  

c)  

Therefore (a) is greater than (b), which is greater than (c).

 

Example Question #12 : How To Make Non Geometric Comparisons

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

a) 

b) 

c) 

 

Possible Answers:

Only (a) and (c) are equal.

(a), (b), and (c) are all equal.

None are equal.

Only (b) and (c) are equal.

Correct answer:

Only (a) and (c) are equal.

Explanation:

Simplify each expression to see if they are equal:

a)  (already simplified)

b)  

c)  

Therefore (a) and (c) are equal, but (b) is different.

 

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