### All PSAT Math Resources

## Example Questions

### Example Question #1 : How To Find The Decimal Equivalent Of A Fraction

How much less is than ?

**Possible Answers:**

is greater than .

**Correct answer:**

### Example Question #1 : Decimals

The ogre under the bridge eats of a pizza and then throws the rest of the pizza to the rats. The rats eat of what is left. What fraction of the pizza is left when the rats are done?

**Possible Answers:**

**Correct answer:**

1/5 of the pizza is left after the ogre eats his share. The rats eat 3/4 of that, so 1/4 of 1/5 of the pizza is left.

1/4 * 1/5 = 1/20 = 5%

### Example Question #2 : Decimals

Express as a decimal:

**Possible Answers:**

**Correct answer:**

Divide 16 by 9:

The "7" repeats forever, so

### Example Question #1 : Decimals

Express as a decimal:

**Possible Answers:**

**Correct answer:**

Divide 9 by 16:

### Example Question #1 : Decimals

Convert the fraction to a decimal.

**Possible Answers:**

**Correct answer:**

We can multiply our numerator and denominator by , which leads to . From here we divide by our denominator, moving the decimal two places to the left.

### Example Question #11 : Fractions

**Possible Answers:**

0.07

0.05

0.10

0.04

0.01

**Correct answer:**

0.07

Multiply numerator by the other numerator and multiply the denominator by the other denominator for multiplication. To divide fractions, switch numerator and denominator and treat it as multiplication. The answer is 0.07.

### Example Question #21 : Decimals With Fractions

Write 0.45 as a fraction.

**Possible Answers:**

**Correct answer:**

.45 is equivalent to 45 out of 100, or .

Divide both the numerator and denominator by 5 to simplify the fraction:

### Example Question #2 : Decimals

Express as a fraction:

**Possible Answers:**

**Correct answer:**

Let

Then

and

Subtract:

### Example Question #1 : Decimals

45.728 x 3.2 = ?

**Possible Answers:**

1463.296

14.63296

146329.6

146.3296

14632.96

**Correct answer:**

146.3296

Multiply the numbers out in long format, then move the decimal point over the total number of decimal points in the two numbers (3 in the first, 1 in the second, so 4 total):

45.728 * 3.2 = 91456

91456 + 1371840 = 1,463,296 → 146.3296

Or just count the decimal points in the answer and make sure it's 4.

### Example Question #1 : Decimal Operations

At the farmer's market, oranges are $0.30 each, apples are $0.25 each, bananas are $0.40 each, and tomatoes are $0.60 each. If Scott buys 3 oranges, 7 apples, 4 bananas, and 8 tomatoes, how much does he spend?

**Possible Answers:**

$11.40

$9.05

$6.80

$7.75

$10.40

**Correct answer:**

$9.05

To find out how much Scott spends, we need to multiply the quantity of each fruit by its price and add them all up.

3 * $0.30 + 7 * $0.25 + 4 * $0.40 + 8 * $0.60 = $9.05

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