# HSPT Quantitative : How to make non-geometric comparisons

## Example Questions

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### Example Question #1 : How To Make Non Geometric Comparisons

of what number is equal to 2 times 4?

Explanation:

Set up the following equation.

### Example Question #1 : Non Geometric Comparison

Examine (A), (B), and (C) and find the best answer.

(A)

(B) of

(C)

(A) and (C) are equal and are greater than (B)

(A), (B), and (C) are equal.

(B) is less than (A), which is less than (C).

(C) is greater than (A) and less than (B)

(A), (B), and (C) are equal.

Explanation:

All of these choices are equal.

is .75 in fraction form, and .75 is in decimal form.

of 1.5 is the same as .

### Example Question #2 : Non Geometric Comparison

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

a) the square root of

b)  of

c) the average of  &

Explanation:

a) The square root of  is , because .

b)  of  is , because .

c) The average of  and  is , because .

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

### Example Question #1 : Non Geometric Comparison

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

a)  percent of

b)  percent of

c)  percent of

Explanation:

a)  percent of  is  because .

b)  percent of  is  because .

c)  percent of  is  because .

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

### Example Question #1 : How To Make Non Geometric Comparisons

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

a)

b)

c)

Explanation:

a)

b)

c)

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

### Example Question #2 : How To Make Non Geometric Comparisons

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

a)

b)

c)

Explanation:

a)

b)

c)

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

### Example Question #1 : How To Make Non Geometric Comparisons

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

a)

b)

c)

Explanation:

This question tests your understanding of the order of operations. First complete operations in parentheses, then multiplication and division, and finally addition and subtraction.

a)

b)

c)

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

### Example Question #8 : Non Geometric Comparison

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

a)

b)  percent of

c)

Explanation:

a)

b)  percent of

c)

Therefore (a) and (c) are the same, and they are both larger than (b).

### Example Question #2 : How To Make Non Geometric Comparisons

Examine (a), (b), and (c) and choose the best answer.

a)  percent of  percent of

b)  percent of  percent of

c)  percent of  percent of

Explanation:

a)  percent of  percent of

b)  percent of  percent of

c)  percent of  percent of

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

### 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

(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)

(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

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