# HSPT Quantitative : How to make non-geometric comparisons

## Example Questions

### Example Question #21 : Non Geometric Comparison

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

a)

b)

c)

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)

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

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

(a) is equal to (b).

(b) equals (c).

(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 #23 : Non Geometric Comparison

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

a)  of

b)  of

c)  of

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

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

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

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

(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)

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)

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

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

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

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

(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

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

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

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

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

(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)

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 #21 : How To Make Non Geometric Comparisons

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

a)  percent of

b)  percent of

c)  percent of

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

(a) is equal to (b).

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

(b) is equal to (c).

(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)

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

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

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

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

(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)

(a) is equal to (b).

(a) is equal to (c).

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

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

(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).