# ISEE Middle Level Math : Numbers and Operations

## Example Questions

### Example Question #11 : How To Work With Percentages

Helen wants to buy a dress for a party. It is on sale for 37% off. How much does the dress currently costs, if its original price was $45.00? Possible Answers: Correct answer: Explanation: First, multiply 45 by 0.37: Then, subtract that amount from 45.00 to find the sale price: Answer: The dress' sale price is$28.35.

### Example Question #12 : Percentages

A restaurant is having a sale and lowering their prices by 20%. If an average meal for two normally costs $62.00, what will it costs under the current sale? Possible Answers: Correct answer: Explanation: Multiply: Then, subtract that amount from the original price: Answer:$49.60

### Example Question #12 : How To Work With Percentages

Candy bought a sweater and a beanie on sale for 20% off. If the sweater cost $and the beanie cost$, how much did Candy spend?





$Correct answer:$

Explanation:

In order to find how much money Candy spent, we must first figure out the cost of the merchandise before the discount.  We do this by adding the prices together.

Next we must find 20% of $57.00. Since 20% is the percentage Candy saved, we must subtract$11.40 from the original price.

So Candy spent $45.60. ### Example Question #1 : Percentages 75 is 60% of what number? Possible Answers: Correct answer: Explanation: 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: Explanation: 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: Explanation: 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: Explanation: Rewrite 77% as a decimal by writing 77 with a decimal point, then shifting it two spaces left: Multiply this by 77: ### Example Question #14 : Percentages Donald makes$17.50 an hour at current, and is due for a 5% raise. Also, as a result of an agreement with the union, management has promised a 16% increase in wages across the board for all workers. What will Donald earn per hour after these two increases?

Explanation:

As a result of a 5% raise, Donald's wages will be 105% of what they were before; the 16% wage hike will make Donald's wages 116% of that. Therefore, Donald will make:

### Example Question #11 : Percentages

In appreciation for a job well done, Clark is being awarded a bonus equal to 12.5% of the salary he earned over the last two years. His monthly salary over that period has remained constant at \$4,500 per month. What is the amount of the bonus?

Explanation:

Over two years, or 24 months, Clark has earned

His bonus is 12.5% of this, or:

### Example Question #1 : Percentages

What is  of 3,000?