### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #11 : How To Multiply Fractions

Multiply the fractions:

**Possible Answers:**

**Correct answer:**

To multiply fractions, multiply both numerators on top and both denominators on the bottom.

Then, reduce to simplest form by removing any common factors:

Answer:

### Example Question #12 : Fractions

Solve:

**Possible Answers:**

**Correct answer:**

### Example Question #13 : Fractions

Solve for y:

**Possible Answers:**

**Correct answer:**

In order to solve for y, cross multiplication must be used. Appyling cross multiplication, we get:

Next, we divide each side by 12.

This results in

### Example Question #14 : Fractions

On Monday, Marsha saw a sweater that she wanted to buy. It was 15 dollars. She went back the next day and saw that it was only 10 dollars. Which of the following is a sale that the store could have been running, explaining the reduced price on the sweater?

**Possible Answers:**

percent off

off

percent off

off

**Correct answer:**

off

Given that the sweater's price was reduced by 5 dollars, this is a one third reduction because one third of 15 dollars is 5 dollars. 15 dollars minus 5 dollars is equal to 10 dollars.

Thus, the correct answer is:

off

### Example Question #12 : How To Multiply Fractions

One dollar is equal to about 116.76 Japanese yen. For how many yen should a tourist to Japan be able to exchange $3,000 at that rate (nearest whole yen)?

**Possible Answers:**

**Correct answer:**

One dollar is equal to 116.76 yen, so multiply $3,000 by this conversion rate to get

yen.

### Example Question #12 : How To Multiply Fractions

Evaluate:

**Possible Answers:**

**Correct answer:**

By the order of operations, carry out the multiplication first, then the leftmost subtraction, then the rightmost subtraction:

### Example Question #351 : Numbers And Operations

Raise to the fifth power.

**Possible Answers:**

cannot be raised to the fifth power.

**Correct answer:**

To raise a negative number to an odd-numbered power, raise its absolute value to that power, then make the sign negative:

### Example Question #352 : Numbers And Operations

Raise to the fourth power.

**Possible Answers:**

**Correct answer:**

To raise a negative number to an even-numbered power, raise its absolute value to that power:

### Example Question #19 : How To Multiply Fractions

Evaluate:

**Possible Answers:**

**Correct answer:**

By the order of operations, carry out the operations in parentheses first; since there is a multiplication and an addition present, carry them out in that order. Finally, carry out the subtraction:

### Example Question #20 : How To Multiply Fractions

Raise to the fourth power.

**Possible Answers:**

**Correct answer:**

To raise a negative number to an even-numbered power, raise its absolute value to that power. Also, to raise a fraction to a power, raise its numerator and its denominator to that power. Combine these ideas as follows: