### All HSPT Math Resources

## Example Questions

### Example Question #1 : Percentages

What is 32% of 2,000?

**Possible Answers:**

**Correct answer:**

Taking 32% of a number is the same as multiplying that number by 0.32. We therefore take the product:

### Example Question #1 : How To Find A Fraction From A Percentage

Which of the following operations is equivalent to taking of a number?

**Possible Answers:**

Dividing the number by

Moving the decimal point one place to the left, then tripling the result

Dividing the number by

Moving the decimal point one place to the left, then doubling the result

Dividing the number by

**Correct answer:**

Dividing the number by

Let's just pick a number at random, for example .

of this number is , which is divided by .

We can also work by simplifying the fractional form of . A percent can be written as the number divided by .

We can simplify this fraction: .

Either way, we get the same answer.

### Example Question #1 : How To Find Fractional Percentages

What percent of 12,000 is 3,300?

**Possible Answers:**

24.5%

26%

25%

27.5%

28.5%

**Correct answer:**

27.5%

To find out what percent a part is of a whole , evaluate the expression

### Example Question #1 : Percentages

is of what number?

**Possible Answers:**

**Correct answer:**

If is of a number, , then we can set up an equation. First, we convert to a decimal, . Then, we can formulate the equation below.

Solve for by dividing both sides of the equation by .

### Example Question #1 : Percentages

Which is larger?

a. 10% of 90

b. 5% of 160

c. 20% of 50

d. 30% of 40

**Possible Answers:**

**Correct answer:**

First find the percentage amount for each choice by multiplying the number by the percentage amount

a.

b.

c.

d.

Then compare the amounts to find the largest.

The answer is (d) 12.

### Example Question #1 : Percentages

75 is 60% of what number?

**Possible Answers:**

**Correct answer:**

Set up the proportion statement and solve for by cross-multiplying:

### Example Question #1 : How To Find The Part From The Whole With Percentage

What is 120% of 120?

**Possible Answers:**

**Correct answer:**

Rewrite 120% as a decimal by writing 120 with a decimal point, then shifting it two spaces left:

Multiply this by 120:

### Example Question #2 : Percentages

What is 225% of 225?

**Possible Answers:**

**Correct answer:**

Rewrite 225% as a decimal by writing 225 with a decimal point, then shifting it two spaces left:

Multiply this by 225:

### Example Question #8 : Percentages

What is 77% of 77?

**Possible Answers:**

**Correct answer:**

Rewrite 77% as a decimal by writing 77 with a decimal point, then shifting it two spaces left:

Multiply this by 77:

### Example Question #1 : Percentages

What is of 3,000?

**Possible Answers:**

**Correct answer:**

Set up a proportion, as follows:

Solve for by cross-mutiplying: