### All ISEE Upper Level Math Resources

## Example Questions

### Example Question #1 : Data Analysis

If a standard die is rolled, what is the probability of getting a 1 or a 2?

**Possible Answers:**

**Correct answer:**

We need to know the total number of possibilities, and the total number of ways to achieve our goal.

A standard die has 6 faces, so there are a total of 6 numbers that we could roll.

We want to roll a 1 or a 2, which means there are 2 ways that we can succeed (rolling a 1 or a 2).

Thus, we have a probability of success as which reduces to .

### Example Question #1 : How To Find The Answer From A Table

The beverage menu from a restaurant reads as follows:

Ten friends go out for drinks. They order four sodas, two coffees, two iced teas, a milk, and a hot tea. One of the ten agrees to leave the entire amount of the tip, which is to be 20% of the check. What is the amount of the tip (round to the nearest dime)?

**Possible Answers:**

**Correct answer:**

The costs of the beverages will be as follows:

Add these amounts:

20% of $14.40 is , or $2.90 when rounded to the nearest dime.

### Example Question #3 : Data Analysis

Refer to the above graph, which shows the high temperatures in the town of Smithville over seven days.

On how many days that week did Smithville see a peak temperature 75 degrees or greater?

**Possible Answers:**

**Correct answer:**

There were four days that saw a peak temperature of 75 degrees or greater:

Monday: 76 degrees

Tuesday: 80 degrees

Wednesday: 77 degrees

Friday: 78 degrees

### Example Question #5 : Data Analysis

Refer to the above graph, which shows the high temperatures in the town of Smithville over seven days.

Which day of this week saw the highest peak temperature?

**Possible Answers:**

Wednesday

Tuesday

Thursday

Monday

Friday

**Correct answer:**

Tuesday

The highest point on the line graph is located at Tuesday.

### Example Question #2 : Tables

Nine students are running for student council; each member of the student body will vote for four. Freida's boyfriend Greg is running and she wants to vote for him. How many ways can she cast a ballot so that she can include Greg among her choices?

**Possible Answers:**

**Correct answer:**

Since Freida has already chosen one of the nine candidates, she will choose three of the remaining eight, Since order is unimportant, the number of ways to do this is the number of combinations of three chosen from eight.

### Example Question #2 : How To Find The Answer From A Table

The following is a portion of the menu at a coffee shop:

A boss treats her employees to coffee at this coffee shop. She orders three lattes, three Americanos, two espressos, a cappucino, and a Turkish coffee. The tax is . The boss hands the cashier a bill. How much change will she get back?

**Possible Answers:**

**Correct answer:**

Add the prices of the ten items:

of this is , so the tax is

The price of the beverages after tax is .

The change out of a bill is .

### Example Question #2 : How To Find The Answer From A Table

Refer to the above circle graph. There are voters registered as independents in Smith County; to the nearest hundred, how many voters in all are registered?

**Possible Answers:**

It is impossible to tell from the information given.

**Correct answer:**

Set to the number of voters total. of them are independent - these number , so we can set up the equation:

, so the correct choice is .

### Example Question #4 : How To Find The Answer From A Table

The above is an annual income tax table for a given state. Married couples will pay the tax rate for the tax bracket in which their entire income falls.

Mr. Jackson earned $34,287 last year; Mrs. Jackson earned $25,879. How much will the couple pay in income tax for that year (nearest hundred dollars)?

**Possible Answers:**

**Correct answer:**

The Jackson's income totaled

.

This puts them in the 1.7% tax bracket, so they will pay

in taxes.

The correct response is $1,000.

### Example Question #6 : Tables

Jefferson Elementary School has seven eighth-grade teachers; each teacher has the number of boys and girls listed above.

How many teachers have classes in which at least 40% of the students are boys?

**Possible Answers:**

Seven

Four

Five

Six

**Correct answer:**

Six

Five teachers each have 30 students, and 40% of 30 is

.

Two teachers each have 29 students, and 40% of 29 is

.

Therefore, to have a class that is at least 40% boys, a teacher must have 12 boys at minimum. Only Mr. Georghiou does not have at least 12 boys, so the correct response is six.

### Example Question #4 : How To Find The Answer From A Table

Adams Elementary School has seven fifth-grade teachers; each teacher has been assigned the number of boys and girls listed above.

However, just before the start of the school year, Mrs. Henry has been hired as an additional fifth-grade teacher. It is desired that some students be reassigned to her class so that each class have the same number of students, or as close to the same number of students as possible. If this is done, how many students will be in Mrs. Henry's class?

**Possible Answers:**

**Correct answer:**

This problem is essentially figuring out what will be the average number of students in each class if there are eight teachers instead of seven.

Add the fourteen numbers in the table:

students.

If there are eight teachers, then each teacher, including Mrs. Henry, will have

students.