### All ISEE Lower Level Math Resources

## Example Questions

### Example Question #21 : How To Find The Whole From The Part

If Anita bought a pair of boots for that was on sale for off, but was taxed on the full price, what was the total cost of the boots (in dollars)?

**Possible Answers:**

**Correct answer:**

If Anita bought a pair of boots for that was on sale for off, this means she would get off. But if she was taxed at on the full price, this would be equal to .

Therefore, the total she would have to pay would be equal to , because .

### Example Question #22 : How To Find The Whole From The Part

Arnold tutors students in math. For every hour-long tutoring session he gives, he must do half an hour of prep work. He is paid per session.

If Arnold makes from his tutoring sessions, how many hours must he have spent tutoring and prepping for his sessions?

**Possible Answers:**

**Correct answer:**

If Arnold made tutoring, that means that he gave tutoring sessions because divided by (his rate per tutoring session) is equal to .

Given that Arnold must spend half an hour preparing for each session, the total number of hours it took him to earn is equal to:

### Example Question #23 : How To Find The Whole From The Part

Joe has completed math problems and now has one-third of his assignment left to complete. What is the total number of problems in his assignment?

**Possible Answers:**

**Correct answer:**

If Joe has one third of his assignment to complete after finishing problems, that means that is equal to two-thirds of the entire set. Knowing this, we can write out the equation and solve for in order to find how many problems make up Joe's homework assignment.

We can solve this equation by cross-multiplying to get , which simplifies to .

To find , we can divide each side of the equation by . This gives us , so there are problems in Joe's homework assignment.

### Example Question #24 : How To Find The Whole From The Part

There are 3 birds in a tree who are joined by their mates. Two-thirds of the birds then fly away. How many birds remain?

**Possible Answers:**

**Correct answer:**

Given that there are 3 birds in the tree who are then joined by their mates, there are 6 total birds in the tree. If two-thirds of the birds fly away, 4 birds leave, and 2 birds are left in the nest

### Example Question #21 : How To Find The Whole From The Part

In Cody's class, there are boys for every girl. If there are boys in the class, how many students are there in the class altogether?

**Possible Answers:**

**Correct answer:**

To find out how many students are in the class, we first need to find the number of girls in the class. For every boys, there will be girl. There are groups of in a group of (or, put another way, ), so the class has groups of boys. That means we also have groups of girl. is , so altogether we have boys and girls. , so the correct answer is .

### Example Question #26 : How To Find The Whole From The Part

There are 8 slices in a pie, and each slices weights 1.5 ounces. What is the total weight of the pie in ounces?

**Possible Answers:**

**Correct answer:**

If each slice of pie weighs 1.5 ounces and there are 8 slices total, then the total weight of the pie can be found by multiplying 8 by 1.5.

12 ounces is the weight of the entire pie.

### Example Question #27 : How To Find The Whole From The Part

If you have cards for a game deck which is only of a whole deck, how much do you need for the whole deck?

**Possible Answers:**

**Correct answer:**

If your amount is of the whole, then the whole is times the amount you have.

If you have , then your answer is

cards.

### Example Question #28 : How To Find The Whole From The Part

If you walk into a theater an see 50 children and three times as many adults, how many guests are there?

**Possible Answers:**

**Correct answer:**

To calculate how many guests are in the theater we need to create an equation that represents what type of guests are in the theater. In this particular case the theater is filled with children and adults thus our equation would become,

The initial question gives some more information.

"If you walk into a theater an see 50 children and three times as many adults, how many guests are there?"

If there are three times as many adults as children then there are adults.

That means in total there are,

### Example Question #21 : Whole And Part

Jamie and Austin share a large pizza. The pizza is sliced up into 12 equal pieces. If Jamie eats 1/4 of the pizza and Austin eats twice as many slices as Jamie eats, how many slices of pizza are remaining?

**Possible Answers:**

2

3

9

6

0

**Correct answer:**

3

Begin with the amount of pizza that Jamie eats. Because there are 12 slices in a whole pizza, Jamie eats 3 slices, or 1/4 of the entire pizza.

1/4 of 12 slices =

1/4 x 12 =

3 slices

If Austin eats twice as much as Jamie, that means that he eats

3 x 2

6 slices

To find how many slices are remaining,

we would subtract 3 and 6 from 12.

12 – 3 – 6 = 3

3 pizza slices are remaining.

### Example Question #2 : How To Find The Part From The Whole

Theresa wants to buy a sweater that is currently on sale for 30% off its regular price. If the sweater is originally priced at $20, how much will Theresa have to pay, before taxes?

**Possible Answers:**

$14

$6

$10

$17

$16

**Correct answer:**

$14

To find the amount of money that is discounted from the sweater,

we would multiply 30% with $20.

30% written in decimal form is 0.30.

So, in order to find how much we will save, we must multiply the following:

0.30 x $20 =

$6.

If we are saving $6 from the regular-priced sweater, that means that the discounted price of the sweater is

$20 – $6 =

$14.