### All HSPT Quantitative Resources

## 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:**

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).

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

**Possible Answers:**

(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.

**Correct answer:**

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

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:**

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) 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.

**Correct answer:**

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

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:**

(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).

**Correct answer:**

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

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:**

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

**Possible Answers:**

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

(a) is equal to (b).

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

(b) is equal to (c).

**Correct answer:**

(a) is equal to (b).

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 unequal

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

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

**Correct answer:**

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

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 (b).

(a) is equal to (c).

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

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

**Correct answer:**

(a) is equal to (c).

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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