### All HSPT Quantitative Resources

## Example Questions

### Example Question #11 : How To Make Non Geometric Comparisons

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:**

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 #11 : Non Geometric Comparison

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

a)

b)

c)

**Possible Answers:**

**Correct answer:**

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 #11 : 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:**

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 #14 : Non Geometric Comparison

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

a)

b)

c)

**Possible Answers:**

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

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

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

(a) and (b) are equal.

**Correct answer:**

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

Always do the operations in parantheses first, then exponents, multiplication, and last addition.

a)

b)

c)

### Example Question #12 : Non Geometric Comparison

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.

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 #51 : Hspt Quantitative Skills

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

a)

b)

c)

**Possible Answers:**

(a) and (b) are equal.

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

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

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

**Correct answer:**

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

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 #13 : Non Geometric Comparison

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) or (c).

(a) and (c) are equal.

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

(a) and (b) are equal.

**Correct answer:**

(a) and (b) are equal.

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 #18 : Non Geometric Comparison

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

a)

b)

c)

**Possible Answers:**

**Correct answer:**

Calculate the exponents to compare the values:

a)

b)

c)

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

### Example Question #19 : Non Geometric Comparison

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

a)

b)

c)

**Possible Answers:**

None are equal.

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

Only (a) and (c) are equal.

Only (b) and (c) are equal.

**Correct answer:**

Only (a) and (c) are equal.

Simplify each expression to see if they are equal:

a) (already simplified)

b)

c)

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

### Example Question #11 : How To Make Non Geometric Comparisons

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

a)

b) percent

c)

**Possible Answers:**

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

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

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

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

**Correct answer:**

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

Convert each expression into a decimal in order to compare them:

a)

b)

c)

Therefore (a) is the largest.

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