HSPT Quantitative : How to make non-geometric comparisons

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #21 :Non Geometric Comparison

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

a)

b)

c)

Possible Answers:

Correct answer:

Explanation:

Add the numbers in the parentheses before doing the multiplication:

a)

b)

c)

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

Example Question #22 :Non Geometric Comparison

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

a)

b)

c)

Possible Answers:

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

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

(a) is equal to (b).

(b) equals (c).

Correct answer:

(a) is equal to (b).

Explanation:

is the same as.

is also the same as.

However, in, the's cancel out and we are left with only.

Therefore, (a) and (b) are equal, but (c) is not.

Example Question #21 :Non Geometric Comparison

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

a)of

b)of

c)of

Possible Answers:

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

(a) is equal to (b), but not (c).

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

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

Correct answer:

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

Explanation:

Calculate the expressions to compare the values:

a)of

b)of

c)of

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

Example Question #24 :Non Geometric Comparison

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

a)

b)

c)

Possible Answers:

Correct answer:

Explanation:

Follow the order of operations when simplifying these expressions. First parantheses, then multiplication, and finally addition:

a)

b)

c)

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

Example Question #25 :Non Geometric Comparison

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

a)

b)

c)

Possible Answers:

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

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

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

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

Correct answer:

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

Explanation:

Calculate the exponents to compare the values:

a)

b)

c)

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

Example Question #26 :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 greater than (a) and (c).

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

(a) and (b) are equal, and they are greater than (c).

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

Correct answer:

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

Explanation:

Calculate the percents to compare the values:

a)percent of

b)percent of

c)percent of

They are all equal!

Example Question #27 :Non Geometric Comparison

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

a)

b)

c)

Possible Answers:

Correct answer:

Explanation:

Follow the order of operations and calculate the exponents first when evaluating the expressions:

a)

b)

c)

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

Example Question #28 :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 equal to (c).

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

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

(a) is equal to (b).

Correct answer:

(a) is equal to (b).

Explanation:

Calculate each percent to compare the values:

a)percent of

b)percent of

c)percent of

Example Question #29 :Non Geometric Comparison

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

a)

b)

c)

Possible Answers:

(a) is equal to (c), but not (b)

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

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

(a) is equal to (b), but not (c)

Correct answer:

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

Explanation:

Always calculate the exponents before doing any multiplication or addition:

a)

b)

c)

None of the values are equal!

Example Question #30 :Non Geometric Comparison

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

a)

b)

c)

Possible Answers:

(a) is equal to (c).

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

(a) is equal to (b).

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

Correct answer:

(a) is equal to (c).

Explanation:

Calculate the expressions to the compare the values:

a)

b)

c)

Therefore (a) and (c) are equal, and they are both greater than (b).

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